diff --git "a/data/dm_maths/full_data_1/1249_11255.jsonl" "b/data/dm_maths/full_data_1/1249_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1249_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let i(m) = -11*m**3 - m. Let g(t) = -t**3 + 48*t**2 - 127*t - 17. Let x be g(3). Let n(q) = -10*q**3 - q. Calculate x*n(b) - 6*i(b).\nAnswer: -4*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -656*p - 663*p + 22*h - 18 = -1316*p, 6*h = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 73517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67 + -115. Let a = 74 + k. Let n = a - 26.1. Is 10 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -55?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.12 - -0.07. Let i = l - 0.05. Which is bigger: -3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**31*n**(24\/11))**(-8) assuming n is positive.\nAnswer: n**(-2920\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 1 = -c. Sort -5, c, 0.001.\nAnswer: -5, c, 0.001","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4639 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -2*m - 12, -3*m = 2*d - 142 + 140 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5283678 to the power of 1\/3, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -1\/2. Let p = -4 + 5. Which is bigger: p or t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.1, 3\/5, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**3 + 13*o**2 - 11*o + 2 = 0. Calculate o.\nAnswer: 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 3*q = 5*u + 17, -3*q + 15 = 0. Let a(t) = 0*t**2 + 21*t**2 + 14*t**u - 2 + 3 - 17*t**2. Determine a(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64 - 385\/6. Let a be (10\/100)\/((-20)\/(-100)). What is the closest to 0 in d, a, 9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*y**3 + 41*y**6 - 15*y**2 - y**3 - 3*y**2 - 50*y**6 wrt y?\nAnswer: -1080*y**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 + (6 - (1 - -1)). Let c(o) = o**3 + 2*o**2 - o + 2. Let u be c(b). Solve 0 = -u*w + w + 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven halves of a meter in millimeters?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -136 - 4?\nAnswer: -13a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w*w\/w**(-2\/5))\/w))\/w*w)**45*w**(2\/9)\/w*w**(-3\/10) assuming w is positive.\nAnswer: w**(-1717\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10.2 and 17784914.\nAnswer: 17784924.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 22 - 6 = 0. Let s = 803 + y. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-4\/5)*f**(-3\/26) assuming f is positive.\nAnswer: f**(-119\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 508624 - 4802592 = 0. Let i = u - 96984. What is i rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, -2526\/5, -1 in decreasing order.\nAnswer: 0.7, -1, -2526\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*p + 9*p**2 - 5*p + 3*p**2 - 10*p wrt p.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 81*q**2 - 812*q + 849. Determine r(9).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 962959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -1)*4\/(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 404206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 3*k + 12. Suppose 0 = -0*d + 12*d - 204. Let h be (d\/(-4) - 2) + (-8)\/(-32). Calculate v(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1738 + 45a?\nAnswer: 1b93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 18.1?\nAnswer: 90.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-110))\/(((-193)\/(-965) + (-13)\/40)*4)?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.8 + 2.3. Round s to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25530 is divided by 25409?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.4 (b) -9\/8 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, e: 3}. What is prob of sequence hehe?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 1775270883538.\nAnswer: -1775270883543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (0 - 0 - -6) - -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -219*f**2 - 4119*f wrt f?\nAnswer: -438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 4*f**2 + 3*f + 5. Let d be n(-3). Solve -15 = -3*o, 5*o + 15 = -d*a + 3*o for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-6)*9\/32?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -805129*l - 2*l**2 + 805129*l + 3*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 12*s**3 - 12*s**2 + 2*s + 52. Determine h(-2).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -8360000 to the nearest one hundred thousand.\nAnswer: -8400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -0.04503422.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 0*c - 202 = -5*x, 0 = 2*x + 4*c - 88. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkmmmwxik. What is prob of sequence ix?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211022210222 (base 3) to base 5.\nAnswer: 103030301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1682395874 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 1907484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 137*j**3*r*y + 17*j**3 + 2*j**2 - 2*j*y wrt r?\nAnswer: 137*j**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -61837?\nAnswer: -3\/61837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 + -32. Calculate the remainder when l is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48442 divided by 8.\nAnswer: -24221\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24658 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -952 divided by 7\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6*6\/(-27)*-33 is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 8*o**2 - 9*o + 5. Let a be r(9). Suppose -2*b - 4*y + a = 1, -y - 2 = 0. Suppose -4*f + b*f = 90. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 8 + 2. Let m = w - -4. Solve 4 = 3*t - m*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*z + 0 - 125\/6*z**2 - 25\/2*z**3 + 15\/2*z**4 - 5\/6*z**5 = 0. What is z?\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -199*b**2 + 951*b**3 - 1395*b**2 + 949*b**3 + 1 - 26*b**2 - 1812*b**3 wrt b?\nAnswer: 528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3 = 3*p. Let a(i) = -9*i + 510. Let r be a(4). Calculate the remainder when p\/(-4) - r\/(-24) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312552 is divided by 156273.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4204.99 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2. Let n(r) be the first derivative of -4*r**3\/3 - 3. Give -6*n(s) - 13*x(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s = -6*s - 732. Suppose -1288*l - 130 = -1298*l. Calculate the remainder when s is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -374*h + 215 - 432 + 217 to q + t*h and give t.\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -203101182.\nAnswer: -1\/101550591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**2 - 2*w**2 + 3*w**2 - 3*w**2 - 4*w**3 in the form a*w**3 + r*w + j + v*w**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*l + 30*l + 27*l + 20*l + l**3 - 136*l + 29*l.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 5 (c) -2\/407\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and 53243.\nAnswer: -372701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -132, -200, -266, -330?\nAnswer: -392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 1. Suppose 2*v = 5*v - i*s - 109, v - 34 = 3*s. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 52 - 17. Let x = 12 + -8. Let c = t + x. Let b(d) = -d**2 - 3*d - 1. Calculate b(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**6\/360 + 97*l**4\/24 + 29*l**3\/6 + 25*l. Let p(q) be the second derivative of i(q). What are the prime factors of p(0)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of n**4\/6 - n**3\/6 - 3*n**2. Let v be q(2). Suppose -5*x + 8 = -3*k, -4*k + 2*x + v = -1. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1478 and 1823852.\nAnswer: 1478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8, -39, -70, -101, -132?\n\"Answer: -31*s + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 4*d - 4, q + 3 - 4 = -d for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-78)\/(-15) + 2\/(-10). Suppose 5*k - 10 = -2*x, -5*k + x + 0 = -25. Let y be (-2)\/7 + k\/14. Solve 5*d = -5*l - u, -l + y*d - 5 = 2*d for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 43 + -28 + (-799)\/(-17)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -12. Does 3 divide 6 + i + -1 + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*o = -342. Let y be o\/(-45) + 2*2. Suppose 2 = -3*n + 8. Put y, n, 0.3 in descending order.\nAnswer: n, 0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -132725\/6582 - 2\/1097. Find the common denominator of -53\/3 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/(sqrt(588) + (sqrt(588) - sqrt(588)*1))*1)\/((-2*sqrt(1200) - sqrt(48))\/((-2*sqrt(24))\/sqrt(3))).\nAnswer: 2*sqrt(5)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 418425912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100\/(-125)*5\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3279 + 10903 = 567*v - 17891 for v.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2622014 divided by -514.\nAnswer: 1311007\/257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 771.1 - 5.77075835?\nAnswer: 765.32924165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2951 - 2903 = 2*z + 10*o, -16*z - 4*o + 80 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 2*b**5\/25 - 253*b**4\/40 + 37*b**3\/2 - 367*b**2\/20 + 61*b\/10 + 13. Let i(m) = 0. What is m?\nAnswer: 1\/4, 1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 65 + -58. Suppose -f + 4*d - k = 0, -10 = -4*f - 6*d + 3*d. Sort -4, -2, f, 5 in ascending order.\nAnswer: -4, -2, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z + 0*z + 2*z + 8*z + 25*z - 24*z + (-3 + 0 + 7)*(-z + 3*z - z))*(0 + 0 - z).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-921 - 2*o + 921)*(1 + 1 + 0) - 2 + 2 - o + (-o + o - 3*o)*(3 - 2 + 1) as g + m*o and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 916*n - 4529. What is h(5)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -47\nAnswer: 6\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 0*n = -2*n - 716, -5*w + 718 = -n. Let u = w - 60. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90870 a multiple of 390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13*-7 + -21481 + 21515.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*l, -l = 5*w - 1 - 8. Let y(x) = -5 + 2*x**3 - 5*x**w + 10 - 3*x**3 + 0*x**3 - x. Let v be 2 - -1 - 1 - 6. Determine y(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1818 = 42*c - 71*c - 173*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + (10 - (8 - (-7 - -24)))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -13257 (c) -0.1 (d) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c + 2*c**3 - 3*c + (-4 + 4 + 2*c**2)*(-4*c + 2*c + 4*c))*(5*c - 2*c - 4*c) as p*c + s + i*c**4 + v*c**3 + k*c**2 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 6\/(-32 - 4).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 495415 to the power of 1\/2, to the nearest integer?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266*o + 259*o - 21 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -8*i**2 + 53*i - 2. Let s(k) = 38*k**2 - 264*k + 10. Let l(u) = 14*b(u) + 3*s(u). Let v be l(25). Solve -v*w = 5*x - x + 8, w = -5*x - 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x**4\/12 + 5*x**2\/2 + 14*x. Let v(p) = p**2 + 1. Determine -5*v(f) + z(f).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29 or 123802\/4127?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 84.7 * 3.\nAnswer: 254.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 387285 - 1156*v**2 - 387285 - 64*v**4 + 544*v**3 = 0. What is v?\nAnswer: 0, 17\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 4*m**4 - 2*m)*(6*m - 4*m - m)*(1 + 0 + 1 + (-1 + 2 - 2)*(-2 + 2 + 2) + 1 + 1 + 0 - 2 + 2 - 6).\nAnswer: 16*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -14 + 0 + 7*i + 10*i**2 - 2 + i**3. Let n be j(-9). Solve -n = -4*f + 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -70*i**4 + 70*i**4 + 11*i**5 + (-4*i**2 + 4*i**2 + 5*i**4)*(3*i - i + 0*i).\nAnswer: 21*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5*(-2)\/(-50) - 38\/(-10). Suppose f*d - d - u - 10 = 0, d - 3*u - 14 = 0. Let b(w) = -218*w + 2*w**2 + w**d + 218*w. Let a(t) = -t. Give b(a(h)).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3688757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3312 in -2\/9, 0.1, 101, -0.4, -1, -1\/8?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11037\/10087 - 3\/917. Factor -8\/11*q + r*q**2 - 16\/11 + 10\/11*q**3 + 2\/11*q**4.\nAnswer: 2*(q - 1)*(q + 2)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y - 9*y + y + 7*y. Let a(u) be the first derivative of u**5\/60 - 2*u**3\/3 - 3. Let f(j) be the third derivative of a(j). Determine o(f(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 8, 22, 54, 110, 196, 318, 482?\nAnswer: 694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 161955 and 4048875?\nAnswer: 4048875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32*112\/3584)\/(1*(-2)\/(-46))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((11178\/45)\/(-23) - -12)\/(16\/5).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 213602 and 274688176.\nAnswer: 274901778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**8\/4032 + h**5\/30 - 3*h**2. Let g(i) be the third derivative of r(i). Let v(z) = 2*z**2. Calculate g(v(m)).\nAnswer: 20*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -156301072 by -39075268.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(190) + sqrt(190) + -2*sqrt(190)))\/sqrt(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 7*g - 41*g)*(-7*g - 32*g - 9*g).\nAnswer: 1584*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1809300 divided by -2.\nAnswer: -904650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5911238, -5911236, -5911234, -5911232?\n\"Answer: 2*w - 5911240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 10*q. Suppose -16*u = -23*u + 35. Let v(y) = y + u*y + 2*y - 3*y. What is v(g(f))?\nAnswer: 50*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4*d - 20 = -5*d, 3*d - 20 = 5*j. Let c be -2*j\/(-8) - -15. Find a, given that 7*a**3 + 3 + 72*a**2 + c*a - a + 41*a**3 + 14*a = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 20*p**3 - 5*p**3 - 6*p + 2*p - 3 - 14*p**3 + 3*p**2. Suppose -11*w + 22*w = -44. Give m(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71 - 4*f - 7*f - 22 - 49.\nAnswer: -11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3*2\/56)\/(265\/(-795)).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gkgk when four letters picked without replacement from {p: 6, n: 1, g: 2, k: 2, u: 3, q: 6}.\nAnswer: 1\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*2 + (-36)\/(-21). Let x = -24 + 24.04. Let f = -0.36 - x. Which is the second biggest value? (a) f (b) 2\/5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + 6, -2*d = -3*u + 30970958 - 30970936 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*i - 4*c - 308, 0 = i - 3*c - 70. Calculate the remainder when i is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**2 - 2 + 3 - 2*q**2 + 0*q**2. What is the remainder when w(-8) is divided by ((-2)\/(-3))\/((-2)\/(-6)) + 31?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.032 + -0.168. Let n = -3 - -1. Which is the smallest value? (a) 0.4 (b) 3\/8 (c) n (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61 + -33. Suppose 0 = s + 5*w - c, s - w = 5*s - 36. What is the highest common divisor of 56 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.4, -0.04, -2\/15?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -263?\nAnswer: -268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(11) - (sqrt(11) + -2)**2) - (-1 + sqrt(891) - sqrt(891)).\nAnswer: -15*sqrt(11) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8532412 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*j - 843 - 35 - 414 = 0 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-360)\/2 - (-8)\/8)\/1. Let u = 430 + g. List the prime factors of u.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d - 59. Let h = 44 + -29. Does 14 divide q(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-2) + (-9)\/6. Let x = -4 - -1. Let k be x - 1*(-96)\/28. Which is the closest to t? (a) k (b) 1 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10b (base 13) to base 2\nAnswer: -10110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-88)\/33*(-3)\/(-4)*-2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1690*l - 1686*l = 0. Let j(i) be the first derivative of -17 + 0*i + 1\/5*i**5 + l*i**2 - 2\/3*i**3 - 1\/4*i**4. Factor j(f).\nAnswer: f**2*(f - 2)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.19 - 0.37. Let g = u + 0.28. Let k = 0 + -0.1. Which is the closest to g? (a) k (b) -5 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 6 = 1. Let b(w) = 19*w**3 + 2*w**2 - 1. What are the prime factors of b(x)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2440 by -4.\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 (base 11) in base 16?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5 + 61*z**4 + 960*z**3 + 900*z**2.\nAnswer: z**2*(z + 1)*(z + 30)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 5.1. Suppose -l + 12 = 4*w, 4*w + 6 = -3*l + 18. What is the smallest value in w, -5\/4, p, 0.2?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16435, 29, 2\/3, -8 in decreasing order.\nAnswer: 29, 2\/3, -8, -16435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*l + l + 3*l to the form y*l + f and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-25)\/(-10))*3\/(-10)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/6*3*-2. Let r(s) = -s - 8. Let j be r(-6). Let g(f) = f**3 + 3*f**2 - 2. Let i be g(j). What is the greatest common factor of v and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29862*c**3 + 4*c - 4*c.\nAnswer: 29862*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - x - 3*j - 21 = 0, 4*x + 3*j - 3 = 0. Suppose x*w = -3*d + 75, -w = -0*d + 5*d - 141. Calculate the remainder when d is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-117)\/126)\/13*-14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1855 take away -0.01?\nAnswer: -1854.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4*h = -164, 278 = 11*p - 7*p - 2*h. Calculate the remainder when p is divided by 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(12\/4)*15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1087677*a**3 + 22*a**2 - 1316*a - 20846 wrt a?\nAnswer: 6526062*a + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -653661024 and -3.\nAnswer: 1960983072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 838*u. Let s(v) = 16*v**2. Calculate j(s(b)).\nAnswer: 13408*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (1 + (3 - 3) - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*f + 9*f + 8*f - 4*f to the form g + u*f and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40684 (base 12) to base 3.\nAnswer: -11021002201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -1, 0 in decreasing order.\nAnswer: 5, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 b when two letters picked without replacement from {b: 3, u: 2, y: 2, g: 6, s: 1}?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 - 3 - 21*x - 4 - 8 + 13. Let j be d(11). Solve 0 = 2*w + 5*k - 3 + j, -5*k - 10 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4\/7, 4, 0, -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*2*7\/(-154). Let c = 0.4 + -0.4. What is the closest to c in -5, x, -1\/6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (10\/5 + 99)*7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44956, 184406, 416820, 742198, 1160540?\nAnswer: 1671846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - (7 + -2) - -17.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 5*n - 2*s, -4*n - 2*s + 6*s = -32. Suppose -3*k - r = -1, 2*r + 1 + 19 = 5*k. Suppose 4*v = k*v + 6. Solve -v*y = c - 3*c, -c = n*y + 13 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -21*(220\/(-6))\/(-11). Suppose 2*x - 594 = -4*m, 4*m = 2*x - 3*x + 593. Let y = d + m. What is the highest common factor of 26 and y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 p when four letters picked without replacement from ffbpfbfbbff?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 21*u**2 + 468*u - 203. What is q(35)?\nAnswer: -973","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*g*o**3 - g*o**2 - 1325*g*o + 3*g - o**3 + 6*o**2 wrt o.\nAnswer: 108*g*o - 2*g - 6*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sl when two letters picked without replacement from slls.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p - 16*p**2 + 9*p**2 + 6*p**2 + 0*p to s + j*p + h*p**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*u - 15 = 0, 2*u + 0*u - 5 = -x. Suppose -5*r + r - 3*t + 4 = 0, 5*t = -4*r - 4. Let m be (1 - r) + (-92)\/(-36). Which is bigger: x or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 12972 (c) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.02419 - 13\nAnswer: -13.02419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(2057) + 0)*-4)**2 + 1).\nAnswer: 197478","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 62 - -659. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -841063 + 841124.1411. Let l = z - 61.2. Let d = l - -0.0589503. Round d to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -104*d**2*s**4 - 3*d**2*s + 6638*d**2 + 65*d*s**5 wrt s.\nAnswer: -1248*d**2*s**2 + 1300*d*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 2. Let g be p(0). Is g\/10 + 1014\/30 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1287.032 nanoseconds in seconds?\nAnswer: 0.000001287032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o + 2. Let d be f(-7). What is the common denominator of 38\/54*d\/(-8) and -101\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 0.8?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45124 (base 8) to base 16.\nAnswer: 4a54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4029*o**2 + 2016*o**2 + 2015*o**2 - 6*o**4 - 22 - 12*o - o**3 + 12*o as m*o**2 + d*o**4 + l*o**3 + c*o + t and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -36, 7, 5, -2\/7, -1.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/2832 and 75\/176?\nAnswer: 31152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -c**5\/20 - c**4\/12 - c**3\/6 - 6*c**2 + 56*c. Give u(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**5\/3 + 2106738*g**4\/5 - 40448824*g**3\/15 - 28651368*g**2\/5 + 8089792*g\/3 = 0.\nAnswer: -2, 0, 2\/5, 8, 632015","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and 181.\nAnswer: 5.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 3) + -2 + 0 + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*a**5 + 88532*a**4 + 388302*a + 1 wrt a?\nAnswer: 80*a**3 + 1062384*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 10*w - 23. What is k(4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.194442t in nanograms?\nAnswer: 7194442000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -6612.\nAnswer: -1\/3306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 8*w + 6. Let v(r) = r. Let k(a) = -l(a) + 3*v(a). Let p(b) = 11*b + 13. Calculate -9*k(n) - 4*p(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**3 + 13*g**2 - 385*g - 2114. Give c(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 452903014 - -4.\nAnswer: 452903018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*h = -7, 4*h + 4 = -6*p + 4*p. Suppose -5*v + v = -p. Solve v = 3*g - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-10) - (-231)\/15. Let j be 1156\/q - (-5)\/(-20). Let k = j - 34. Is 19 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-140)\/6)\/7)\/((-2)\/(-3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*p**2 + 9230 - 35*p**2 + 4196 + 2518 + 16*p**2 + (-2*p + 6*p - 3*p)*(-4 + 4 - p) as n*p + q*p**2 + z and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 2:41 PM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*c = -36932, -2*c = p - 10979 - 7480. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 8. Suppose 84 = l*g - 0*g. Suppose 0 = -0*t - 4*t + 4*d + g, d = -2*t - 1. Solve -5*j + t*f - 7 = 5, j = 4*f + 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8681 + 12237. Calculate the highest common divisor of 28 and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/9 (b) -346 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413 is divided by 226.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 106493 to the power of 1\/2, to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 5*d = h + 14, 2*d = -3*h + 9. Let q(i) = 0*i - i + 3 + 8. Let p be q(8). Solve -d*r + 21 = p*l, 3*r + 0*l - 5*l = 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148 - 161 = -13*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 6:43 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 114 + -109. Which is bigger: 34\/9 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n - 22 = 22. Let x be 1 + ((-4)\/1 - -6). Solve -x*d - n = -2*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 0. Suppose 0 = -d*m - 1 + 9. Find b such that 0*b**m - 1\/4*b**4 - 3\/2*b**5 + 0*b + 1\/4*b**3 + 0 = 0.\nAnswer: -1\/2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000243 rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1407, -6606, -15355, -27654?\nAnswer: -43503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 384, 387, 392, 399, 408?\n\"Answer: d**2 + 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1339383 to the nearest integer?\nAnswer: 1157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ixf when three letters picked without replacement from {i: 2, f: 5, r: 1, x: 1}.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*o - 101 = 702 + 61 for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 517918 is divided by 17859.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b9503837 - 0?\nAnswer: b9503837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 432 = 7201*k - 7219*k for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73993056?\nAnswer: 2, 3, 770761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6471216, 12942436, 19413656, 25884876?\n\"Answer: 6471220*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gng when three letters picked without replacement from ngnngnnnng.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 20, 116, 382, 902, 1760, 3040, 4826?\n\"Answer: 14*g**3 + g**2 - 5*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 24 - 26 - 30 = 0 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 221 + -1543\/7. Factor 2\/7*y**3 - 4\/7*y**2 - 2\/7*y + l.\nAnswer: 2*(y - 2)*(y - 1)*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**2 - 914751*f + 12807102 = 0. What is f?\nAnswer: -304931, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 28 = -0*j. Let g = 47 - j. What is the greatest common factor of 3 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 6*u + 3 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(-2)\/(-4) + 8. Let m = 14 - x. Let t(f) = -4*f - 6. Let q(u) = -u - 2. Give m*q(h) - 2*t(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x. Let g(t) = -313312*t**2 + 458*t. Calculate g(z(c)).\nAnswer: -1253248*c**2 - 916*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-57)\/15)\/(3795\/72). Let c = 2\/253 - b. What is the biggest value in 3, c, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -87 - -89. Solve z + p*d + 6 = 0, -z + 0*d = -d - 9 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v**3 + 2*v**2 - v**4 + 0*v**4 - 2*v**3 + 2*v**4 in the form b*v**3 + c*v**4 + h*v + g + n*v**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 25*q - 127. What is the units digit of v(-32)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t. Let m(y) = -70*y + 2. Determine m(n) + 5*o(n).\nAnswer: -75*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 225631 (base 9) to base 6\nAnswer: 2522431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3504*y**2 - 3504*y**2 + 14*y**3.\nAnswer: 14*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 0*v + 3*v)*(-1 + 1 + 2) + v - v - v - 104 - 3*v - 76 - 17.\nAnswer: -6*v - 197","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 not equal to 788.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1842 and 9824?\nAnswer: 29472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 382193143 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3193 is divided by 1380.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, -106, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000243865947 rounded to 7 decimal places?\nAnswer: 0.0000244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29760, 118502, 266406, 473472, 739700?\nAnswer: 1065090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4*w + 4)*(-1310 - 208*w**2 + 1310)*(-58*w + 19*w + 12*w - 82*w - 9*w).\nAnswer: 98176*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (29 - -11)) + 446 + -523\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -260, -518, -776, -1034?\n\"Answer: -258*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -0.13, 0.1, -0.02, 1470, -10\/29, -1\/9?\nAnswer: 1470","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 0.2, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 4. Let p(b) = b**2 - 10*b + 10. Let j be p(10). Suppose -4*n + j = -2. Let d = 0 + n. What is w(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 591929 is divided by 29587?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*o - 64 = -29*o. Let z(m) = -m**2 - 17*m - 14. Let l be z(o). Solve c = -l*c + 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 - 20 + w**2 + w**4 + 5*w - 3*w + 3*w**3 to t + d*w + v*w**3 + s*w**2 + n*w**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10448940 divided by -2.\nAnswer: -5224470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(39)\/(sqrt(30)\/sqrt(10)))**2 + sqrt(104)\/(sqrt(56)\/(sqrt(7)*-1) + sqrt(8) - sqrt(8)).\nAnswer: -39 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 2 (b) 11\/6 (c) -1 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-25)*196695\/(-5076)?\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c + -1b8?\nAnswer: -1c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(1430\/4248) + -15. Is z at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**2 + u - 6*u + 2*u**2 + 5*u.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4908 - -4905. What is the second biggest value in -25, g, 15\/4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2788\/321 - -9) + (-1306)\/69871?\nAnswer: 53\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 595\/36 greater than 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z. Let o(v) = -v - 7. Let c(i) = -i - 5. Let u(t) = 7*c(t) - 5*o(t). Determine u(d(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 5*m**4 + 330*m**3 + 5440*m**2 - 330*m - 5445 = 0.\nAnswer: -33, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 5922 (c) 94 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 7:43 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 17147 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 475545?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 15*f + 16. Let j be s(-14). Solve j*t - t = 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 20 = 0, s + 33 = -4*p + 5. Suppose 5*g = g + 16, 2*g = a + 6. Let k(b) = -b**3 + 4*b - 4. Let q be k(a). Is q bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {j: 6, b: 2, i: 1, w: 3, k: 6}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-20)*1)\/(3030\/(-808)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 415049399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, j: 4, t: 3}. Give prob of picking 2 j and 2 t.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -381 (b) -1 (c) 0.036\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/24*0)\/(183\/(-61)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k**3 + k**2 + k + 7. Let f(y) = 14*y**3 - 4*y**2 - 3*y - 20. Let p(u) = 6*f(u) + 17*t(u). What are the prime factors of p(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 13*g**2 + 2*g - 19. Give t(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/11 or -392226\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*z + 1930 = -43*z. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 m, and 1 b when four letters picked without replacement from {r: 4, b: 1, m: 3, x: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0090208 to 4 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by -9546\nAnswer: -5\/3182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 14441 (base 5) to base 15\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2765.481 centuries in millennia?\nAnswer: 276.5481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 817?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -284*j**4 - 291 wrt j?\nAnswer: -1136*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -70\/11*s**2 - 2\/11*s**4 - 34\/11*s - 38\/11*s**3 + 0.\nAnswer: -2*s*(s + 1)**2*(s + 17)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*s - 856 + 16733, -3961 = -q - 2*s. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2055? (a) -0.2 (b) -4 (c) 2\/7 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/7)\/((-11)\/(-2))*4301\/(-2737)\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*k + 231*k - 6*s = 24, -4*k - 3*s = 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 10, q: 2}. What is prob of picking 1 m and 2 q?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuyufiybufibffjuy. What is prob of picking 1 y and 1 u?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 7:34 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6137 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: Suppose 162 = 3*t + 3*x - 0*x, -2*t + 123 = -3*x. Do 57 and t have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of w**4\/4 + 2*w**3 - 9*w**2\/2 - 10*w + 2. Calculate the lowest common multiple of 10 and r(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 1898641806?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*l - 39. Let h = l + -11. Suppose -4*s + 0*j - 28 = -3*j, -4*j - 4 = 5*s. Sort -2, h, s.\nAnswer: s, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 9*r**3 + 12*r**2 + 12. Let n(i) = -5*i**2 + 4 + 19*i**2 - 13*i**2 + i**3 - 3. What is -12*n(j) + t(j)?\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(117)*2 + sqrt(117) + sqrt(117) + 4 + sqrt(117)) + 5 + 4 + (sqrt(1053) + sqrt(1053)*-1)*3 + 4)**2.\nAnswer: 3480*sqrt(13) + 47641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 17. Find the first derivative of 11*d**3 - s*d**3 + 6 - 2 wrt d.\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/9, -4.79, 3, -2\/19, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0966 - -212.4034. Let y = -268 + x. Round y to zero decimal places.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1944366329?\nAnswer: 41, 103, 313, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.229178153 to 2 decimal places.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -314 * -3975.\nAnswer: 1248150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -19*t - 14. Calculate v(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -331?\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 2177.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8648377?\nAnswer: 463, 18679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q. Let m(n) = 31*n. Let v(c) = 16*c. Let b(p) = -6*m(p) + 13*v(p). Determine d(b(f)).\nAnswer: -22*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -432 + 200223120?\nAnswer: 200222133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 662.59164 rounded to the nearest integer?\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -5*m + 16. Let z be a(6). Let k = -10 - z. Find t, given that -4*t**2 - 16*t**2 - 3*t + 4*t**5 - 12*t**3 + 0*t + 4*t**k - 5*t = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 0.22?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2448) - (sqrt(2448) - (sqrt(2448) - ((5*-2*sqrt(2448))**2 + sqrt(2448)))).\nAnswer: -244800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 280363 - 280363. Factor d*r - 9*r**2 + 0 - 1\/2*r**3.\nAnswer: -r**2*(r + 18)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 148 + -155. Let k(y) = -y**2 - 8*y + 9. What is k(f)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, -1, 9\/5, -1497, 3, -4?\nAnswer: -1497","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 2597?\nAnswer: -2597.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*i - 105006 = -53*i. Calculate the remainder when i is divided by 157.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1535 - -2574. Suppose 6*k - 2965 + g = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 + 1910025*w**2 - 15279880*w.\nAnswer: -5*w*(w - 381997)*(w - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 258190981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 14, 23, 32?\n\"Answer: 9*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 32555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 42. Let t = 103.52 - 126.6. Let n = t + u. Round n to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 26 + 25 = 0. Solve -v + 3*y + c = 0, -5*v + 5*y + 19 = -16 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83068 - -0.56033635.\nAnswer: 83068.56033635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -2*a**6\/15 - a**5 - 2*a**4 + 8*a**3\/3 + 16*a**2 - 48*a - 100. Let z(r) be the first derivative of q(r). Factor z(s).\nAnswer: -4*(s - 1)*(s + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -0.6. Let l be (8\/(-50))\/((-42)\/(-35)). Which is smaller: v or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 0.1718.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 27772 (b) 2\/11 (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 2) + -8 + (-29 - (-87 + 44)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/10*(-150)\/(-4). Suppose j + 20 = 3*t, -2*j + 5 = -3*t + k. Suppose 0*h + t*h = 140. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-68)\/(-6)*333\/33. Let z = v + -2487\/22. Calculate the common denominator of z and -7\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-1*304\/(-152).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 988 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bv when two letters picked without replacement from {b: 3, v: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bwqqb. What is prob of picking 1 w and 2 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1848 * -33.2\nAnswer: -61353.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**5 - 630*v**4 + 42090*v**3 - 744600*v**2 - 9832005*v - 16338714 = 0. Calculate v.\nAnswer: -7, -2, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46eb (base 16) to base 7.\nAnswer: -103634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 20*v - 74. Give z(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1757.9 - 1759.9359. Let u = 1.924 + k. Round u to 3 dps.\nAnswer: -0.112","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -5*q + 1282, -4*q + 193 = o - 122. Let m = 345 - o. What is the greatest common factor of 352 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -1831\nAnswer: -5\/1831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -32554*c**2. Let q(b) = -67*b. Determine q(n(i)).\nAnswer: 2181118*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (5 - -4) + -1 + (-19 - -19).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12351 + 4140 - 5*i + 4129 + 4082 + 0*i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 136 from -85.\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2756)\/(-7) - (-42)\/147. Suppose p = -4*f + s, 5*s = f - 0*f + 108. Is (-4382)\/f - (-2)\/7 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*(-1 - (0 - 3)). Let v(u) = -2*u + 3 + 6*u + 2. List the prime factors of v(k).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1332*m - 1058*m - 8220 = 0 for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - -14. Calculate the remainder when 101 is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(-189) + 0 + 1192\/(-10728))\/(1\/(-35))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23513 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 285754845 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 40159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12\/373 - -25473\/8206. What is the common denominator of p and -101\/12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79, 154, 213, 250, 259, 234, 169?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 414*k**2 - 205*k**2 - 209*k**2 - 5*k**3.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 - 120*d**2 - 3348*d + 15376.\nAnswer: -(d - 4)*(d + 62)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -34*d - 786. Determine g(-24).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**2 + 68*z + 9. Let g(v) = 3*v - 1. Determine k(g(f)).\nAnswer: -18*f**2 + 216*f - 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5333*u**2 + 9*u + 177816 wrt u.\nAnswer: 10666*u + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + 0 + (-12 - -6) + 10.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-35))\/((-84)\/210)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(2\/5)*n)\/n**14 assuming n is positive.\nAnswer: n**(-58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**3 + 38876*g**2 - 376940109*g - 17421603966 = 0. Calculate g.\nAnswer: -46, 19461","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 + 45. Is b at least 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248461?\nAnswer: 248461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.2 - -3.3. Let h = -0.1 + w. Let n = -2.3 - -0.3. What is the third biggest value in n, h, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fhhh when four letters picked without replacement from yhhfzhhhh?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6535, 52732, 178267, 422812, 826039, 1427620, 2267227?\n\"Answer: 6612*m**3 - 3*m**2 - 78*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (3 - (-2 + 1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 - -22. What is the closest to -1\/4 in 1, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1383, 47, 2?\nAnswer: -1383","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -651 - -650.9. What is the closest to j in -42\/11, -5, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -69.1 + 69. What is the second smallest value in v, 1\/5, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 380 - 948298*k**2 + 0 + 948264*k**2 as n*k**2 + x*k + g and give g.\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15164?\nAnswer: 2, 17, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02 - -2.98. Let i(f) = 245*f - 25485. Let d be i(104). What is the closest to t in 0.2, 0.5, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n - 20 = -70. Let c be (0\/2 - n) + 1*4. Let i(u) = -76*u**3. What is the tens digit of i(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 507378.2l to millilitres.\nAnswer: 507378200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u + u - 3*u)*(-8 - 8 + 19) - 2*u + 2*u + u + u - u - 2*u + (4 - 1 - 2)*(1 - 1 - 2*u) + u - 3*u + 0*u + u + 4*u + 6*u as g + y*u and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f + 266 = 326. Let b = 47 - 46. Let g(i) = i**2 - i + 1. Let l be g(2). Solve -10 + b = l*n + 2*s, n + 17 = f*s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -684*d**2*k**2 - d**2 - 8*d*k**2 - 2*d + 5*k - 24799 wrt k?\nAnswer: -1368*d**2*k - 16*d*k + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27151 is divided by 41.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 5*o + 137. Calculate the remainder when 9828 is divided by w(-5).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233596?\nAnswer: 2, 11, 5309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 20*j**2 + 16*j - 2. Let t be f(-2). What is the greatest common divisor of t and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -332*l - 2112. What is t(-12)?\nAnswer: 1872","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.15*-42.\nAnswer: -6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 a when four letters picked without replacement from qqqaaaqqaqq.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -73, -115, -169?\nAnswer: -235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 27*q**2 + 53*q + 49. Calculate j(-25).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48*f**3 + 19*f**3 + 145*f**3)*(-2*f**2 + 3*f**2 + f**2) + ((3 - 2 + 1)*(3 - 2 + 0) + 1 - 1 + 3 + 1 - 2 - 1)*(2*f**5 + f**5 - 4*f**5).\nAnswer: 229*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35*u**3*y**3 + 14*u**3*y**2 - 2*u**3 + u*y**4 wrt y?\nAnswer: 210*u**3 + 24*u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 2232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/2)*y*y**2)\/(((y**(-1\/6)*y)\/y*y*y)\/(y\/y**(-4))) assuming y is positive.\nAnswer: y**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (472 - 235 - 202)*(-2*t + 2*t + 2*t**2).\nAnswer: 70*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00243082 rounded to four dps?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14425 is divided by 55.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -267709 (base 10) to base 16.\nAnswer: -415bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 0*j**3 + 13\/2*j**2 + 0*j**4 + 0 + 7\/20*j**5 + 8*j. What is the first derivative of c(b) wrt b?\nAnswer: 21*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332244 (base 5) in base 9?\nAnswer: 16780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -128, 69, -706 in descending order.\nAnswer: 69, -1, -128, -706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**6\/(y\/y**(3\/4)))\/((y**(-6)*y)\/y**(-1\/3)) assuming y is positive.\nAnswer: y**(125\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -34 in ascending order.\nAnswer: -34, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 961\/12 - 229\/3. Suppose 5\/4*m**3 - 5\/4*m**5 + 55\/4*m**2 - c*m**4 + 15*m + 5 = 0. Calculate m.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 810 divide 2566529457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a7c6 - -61?\nAnswer: a847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-532)\/(-133)*50\/(-60).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - a + 39. List the prime factors of y(0).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v. Let m(n) be the third derivative of 3*n**4\/8 - 6*n**2. What is m(l(f))?\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234 = -0*y - 13*y. Suppose 2*b + 19 = 3*v + y, 0 = -b + v. Solve -o + 5 = b for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -b**7\/15 - b**4\/12 - 463*b**3\/6 - 283*b**2 - b. Differentiate z(s) wrt s.\nAnswer: -56*s**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2913950 rounded to the nearest 10000?\nAnswer: 2910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -73599*j*w**2 + 8902*w**2 wrt j?\nAnswer: -73599*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13339 - -13450. Calculate the remainder when 339 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 85 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -334531 divided by 4993\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -56659?\nAnswer: -5665.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 284701675?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*m + 128*m + 40*m**3 - 61*m.\nAnswer: 40*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -3. Suppose 4*x + 4 = i, -4*h - 4*x - 11 = -27. Calculate the remainder when h is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -145 or -144?\nAnswer: -145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.146 + -1122.146. Let i = -1120.99549 - h. What is i rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -184*u**2 - 121*u + 1. Let s(i) = 13*i - 2. Calculate r(s(t)).\nAnswer: -31096*t**2 + 7995*t - 493","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -1, 7890?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -a**5\/20 + a**4\/2 + 2*a**3\/3 - 3*a**2\/2 - 3*a. Is u(6) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54914 to the power of 1\/2, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 7*c**5\/5 + 17*c**4\/2 - 7499*c**3\/3 + 3924. Find the third derivative of s(q) wrt q.\nAnswer: 168*q + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 j when three letters picked without replacement from sjjjddjjjjjssjjjjd.\nAnswer: 33\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -47, -89, -131, -173, -215?\n\"Answer: -42*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2)\/s**(24\/5))\/((s*s\/s**(-2\/3)*s)\/(s\/((s\/s**(2\/21)*s)\/s))) assuming s is positive.\nAnswer: s**(-363\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -702*z + 690*z + 96 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 = 3*b - 176. Solve -5*f + b = -4*v - 35, 5*v = -4*f for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*i = -39 - 75. Sort 5, -1, -4, -155, i in ascending order.\nAnswer: -155, -4, -1, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.8 (b) 21 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/2, 19, 2, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 453613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 1642*b. Let a(v) be the second derivative of 5*v**3\/6 - 1363*v + 2. Determine a(k(o)).\nAnswer: 8210*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 744 + 355 + 385 = -2*w, 3*w + w - 70 = 25*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-552)\/24)\/((-1610)\/140)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*t + 12. Let v(n) = 3*n**2 + t*n**3 + 3 - 4*n**2 - 3. What is the smallest common multiple of v(2) and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9964000 rounded to the nearest 100000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3c9f - 1d5?\nAnswer: 3aca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of g**6\/135 + 2*g**5\/45 + 5*g**4\/54 + 2*g**3\/27 - 16*g. Let j(h) = 0. Calculate h.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -13, 0 in decreasing order.\nAnswer: 0, -3, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t + 189 = 14*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -514, -397, -280, -163, -46?\n\"Answer: 117*c - 631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**3 + 35*k**2 + 112*k + 76 = 0.\nAnswer: -2, -1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4*t - 5. Let o(s) = 4 - 3 + 4*s - 1 - 3. Let u be o(4). Suppose u = x + 5*n, 5*x + 12 = -2*n + 31. Let r(f) = f - 1. What is x*r(l) - y(l)?\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.24, 322 in descending order.\nAnswer: 322, 4, -0.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -29\/16387640?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 5*m = -10 + 2, -199*z + 200*z - 4*m = -10 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 8. Let b be c(0). Let y = b + 22. What is the third derivative of y*p**5 - 86*p**2 + 166*p**2 + 5*p**5 - 83*p**2 wrt p?\nAnswer: 1140*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 348.0994 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 32398853 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 1098 + 1075 = 3*q, -3*q + 5*j = -2218. Suppose -3706 + q = -5*n. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.91932 micrograms in grams?\nAnswer: 0.00008691932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.39 times -90733?\nAnswer: -216851.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192541 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 7*v**2 - 9*v + 12. Let k be r(8). Suppose k*s = 2*s + 10. Find the second derivative of -5 + 2*c**5 + c + s wrt c.\nAnswer: 40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, 13, 49, 99, 163, 241?\nAnswer: 333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 100 = 3*s - 5*s, 0 = -5*n - s + 100. Solve -7*r - 8 = n for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p**2 - 5*p. Determine u(5).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.34 * 0.096409.\nAnswer: -0.12918806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 31401875489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p - 12. Let l be b(7). Factor -2 - 60*s**l - 1 - 9*s + 63*s**2 + 9.\nAnswer: 3*(s - 2)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s - 9. Let t be c(8). Suppose -12 = -3*g + 3*u, -u = g + 2*u. Suppose 4 = 4*j - 3*p, 0*j + g*p + 5 = 5*j. Which is smaller: t or j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o**3 + 6 - o**3 - o - 5*o**3. Let g be a(0). Suppose -108 = -5*l - 3*s, -5*l + 4*s = -l - 112. Calculate the greatest common factor of l and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (9 + -11) - (4 - 1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 197, 202, 207?\n\"Answer: 5*v + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63044708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-10\/7)\/i**8*i*i\/i**6*i\/((i\/(i*i*i\/(i**7\/i*i*i)))\/i) assuming i is positive.\nAnswer: i**(-122\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 211534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 8 = -0*p. Let v = 0.284 + -0.584. Sort v, -0.4, 5, p in decreasing order.\nAnswer: 5, p, v, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y + 5. Let q be m(-12). Let n = q - 25. Let w be (10\/n)\/(1 + 6\/(-12)). Solve w*d = d + 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-13) - 19104\/122148. Let g = 55601\/3132 + n. Find the common denominator of (124\/3)\/4 + -3 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*316\/(-3)*3. Let p = 2462 - 3814. Let i = t + p. What is i rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.224236 rounded to 3 decimal places?\nAnswer: -0.224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22.6 - -22.55. Which is the second biggest value? (a) -5\/3 (b) 0 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.18 and 5.07?\nAnswer: 0.9126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 171229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 979787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 47*v - 4. Let q be x(4). Suppose 5*i + q = 4*c, c + 0*i - 46 = 3*i. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -27*p - 21. Calculate a(2).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3167085 is divided by 150813?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1273698738?\nAnswer: 2, 3, 13, 23, 236659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 18*i + 38 = 158 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24137?\nAnswer: 24137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 4 + 12. Let n be 284\/18 + (-4)\/(-18). Let f = n + x. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2819 a factor of 43739604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.201912ml in litres?\nAnswer: 0.009201912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 229987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 - 38. Is 9\/(-6)*(-716)\/t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 3:52 AM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, l: 5, b: 2, t: 6, v: 3, z: 2}. What is prob of sequence lzg?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**23)**33*b*b**(-4\/5)*b\/b**(7\/4))**13 assuming b is positive.\nAnswer: b**(205777\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54756 and 29913?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-162))\/(16\/((-27)\/(12\/4)))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 1\/3*i**3 - i + 0*i**2 + 2 + 1\/4*i**4. Let b(k) = -7*k**3 - 6*k**2 + k + 4. What is b(w) + 6*h(w)?\nAnswer: -w**3 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -10, -7, -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -2*w**2\/15 + 1712*w\/15 - 25856\/5 = 0.\nAnswer: 48, 808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -592.9869 - -593. Round b to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -1001100001?\nAnswer: 1001100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -84138327*a**2 - 558177034?\nAnswer: -168276654*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 24740*n + 123715. Give g(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**3\/3 + 110*h**2 + 218*h + 326\/3 = 0 for h.\nAnswer: -163, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1669428?\nAnswer: 2, 3, 79, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 134 and 25460?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.9 - 7782480?\nAnswer: -7782434.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10409.81 + 10458. What is p rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 1100 = 3*n. Suppose -n = -6*p + p. What is the second derivative of 203*m**3 - p*m + 21*m**4 - 203*m**3 wrt m?\nAnswer: 252*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.16 + -0.16. Which is the closest to -1\/4? (a) 2\/7 (b) -0.5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -43 - i**2 + 70 + 137*i - 28 in the form n*i**2 + b + q*i and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 245 - 22 - 2*y**2 + 14 + y**2.\nAnswer: -y**2 + 237","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/154 and 3\/440.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -319.5 + 317.9. Which is the third biggest value? (a) -3 (b) g (c) -1\/2 (d) 0.5 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 32*f + 65. Suppose 2*x + 4*o - 14 = -x, -4*x + 48 = -2*o. Is b(x) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -95*m**4\/2 + 10*m**2 - 2*m - 346. What is the second derivative of r(o) wrt o?\nAnswer: -1140*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-11145\nAnswer: -5572.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1444430962.\nAnswer: 2, 13, 853, 65129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(512) - (sqrt(512) - (sqrt(512) + (sqrt(512) + sqrt(512) + 2 + 4 + sqrt(512) - sqrt(512)))) - sqrt(512))**2.\nAnswer: 384*sqrt(2) + 2084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 192579*h*y**2 + 125903*y**2 wrt h?\nAnswer: 192579*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*d - 2 = -4*d, 3*p - 4*d = 0. Let a(q) = 3*q - q**3 - 4*q**2 - p*q - 1 + 1 - 1. List the prime factors of a(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 + (7 - 11) + -22\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -114 + 107.1. Let u = 3.9 + n. Put -2, u, -3\/7 in ascending order.\nAnswer: u, -2, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 11*z + 24. Calculate v(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22876)\/(-4522))\/((-2)\/34*-2).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2224031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4838864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**4 + 125*n**3 - 370*n**2 - 3800*n.\nAnswer: -5*n*(n - 19)*(n - 10)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2 - 10. Suppose l*c - f - 92 = 4*f, 3*f = -2*c + 68. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 11*t**2 - 2*t - 26. Let l be v(-11). Let a(u) = -u**2 + u + 1. Determine a(l).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 33021?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3664979478 - 3664979478 - 66*r.\nAnswer: -66*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 0 in descending order.\nAnswer: 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*p = 21 + 127 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -433*o - 30604*o**2 + 200*o + 235*o.\nAnswer: -30604*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/94017 and 28\/2645907.\nAnswer: 18521349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8516*m**2 + 64*m**4 - 4263*m**2 + 800 - 4253*m**2 + 252*m**4 wrt m?\nAnswer: 1264*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20824.8556634 - -28\nAnswer: -20796.8556634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n\/(n**(1\/4)\/n)))*n**(11\/4))\/((n**(-4)*n)\/n*n**(1\/11)*n))**(-31) assuming n is positive.\nAnswer: n**(-5053\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 10*y - 3. Let t be g(-28). Let w = 483 + t. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.660316 rounded to two decimal places?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6534004*z**3 + 10470901*z.\nAnswer: -39204024*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.053719437 - 13.946.\nAnswer: -13.999719437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert b1829a (base 12) to base 13.\nAnswer: 760a0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + d + 1. Let y(k) = -2*k**2 + 5*k + 3. Let a(c) = -5*s(c) + y(c). Differentiate a(x) with respect to x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 267, 1077, 2427, 4317, 6747, 9717, 13227?\n\"Answer: 270*c**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of f**6\/240 + f**5\/120 - f**4\/6 - f**3 + 25*f**2\/2 - 6. Let v(z) be the second derivative of x(z). Solve v(j) = 0 for j.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8492921.\nAnswer: 8492921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2. Let j(h) = h**2 - h + 1. Let f(d) = -3*d**2 + 5*d - 5. Let b(z) = -2*f(z) - 10*j(z). Give b(c(q)).\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211 = 5*y + 2*u - 3*u, y + 5*u + 37 = 0. Let z = -37 - y. Suppose 11*j = z*j + 1470. List the prime factors of j.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 778872*o + 778872*o + 3*o**2.\nAnswer: 3*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d + 3 + 9*d - 3.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 3) + 4 + (-9 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = n - 6. Let g(s) = -3*s + 2*s + n*s**2 - 12*s**2 + 0*s**2. Give g(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38.05 - -37. Let z = 279.05 + h. Let n = z + -277.999877. Round n to 5 dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4172 (b) -2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*z - 5*l + 48 = 0, 741*l - 739*l - 10 = 2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12791069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1172*u - 34631 = 24051 - 3598. Suppose c = -2 - 0. What is the third smallest value in 1, -3\/5, u, c?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -41, -102, -191, -308?\nAnswer: -453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/5 of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f + 194. Let i be p(48). What is the fourth smallest value in -2, 3, 1, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 427 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/3 - -16)*11\/4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (1 + 1 + -5). Let i be 8\/(-2 + g + 3). Let t = -0.3 + 2.3. Which is the closest to t? (a) -0.4 (b) i (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1430331 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 4*y - 26, 22 = -j - 4*y. Suppose g + 2*c - 54 = -3*g, -2*g + 4*c + 52 = 0. Let l be 40\/g + 6\/4. Sort l, 2, j in increasing order.\nAnswer: j, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - a + 0)*(0 + 4 - 3) - 1 - 2*a + 1 - 2*a + 2*a - 2*a + 0*a + 0*a + a + (-6*a + 4*a + 6*a)*(-3 + 1 + 1) + (23 + 68 + 36)*(-a + 0 + 0).\nAnswer: -135*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -169619*q**3 - 2*q**2 - q - 2352916?\nAnswer: -508857*q**2 - 4*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 20 = 0, 3*d = 2*q - 6 - 12. What is the nearest to q in -0.05, 1\/5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 4508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26 and 15305.\nAnswer: 397930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -301*v + 3484. What is the units digit of c(-142)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 j, and 1 b when four letters picked without replacement from {s: 1, j: 2, h: 1, k: 2, b: 1, a: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1057, -4440, -10143, -18166, -28509, -41172, -56155?\n\"Answer: -1160*d**2 + 97*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 8528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-18)*1\/(-4)*6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x + 7. Let h(t) = -t + 4. Suppose -4*j + 3 = u - 6*j, 5*u + 2*j = -33. Let n(o) = u*h(o) + 3*y(o). Determine n(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4538.873l?\nAnswer: 4538873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*13\/(13\/1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.02984786 - 0.02983. Round i to 6 decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1836 and 57936?\nAnswer: 521424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1497963*o**2 + 748990*o**2 + 748969*o**2.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/9 > -23439?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 110000101110001?\nAnswer: 110000101110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10264*n**5 - 1027*n**2 - 4125240*n + 23 wrt n?\nAnswer: 205280*n**3 - 2054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -95?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 726285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a. Let d(m) be the third derivative of -397*m**5\/30 - m**3\/2 + 643*m**2. Determine s(d(l)).\nAnswer: -1588*l**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-60)\/(-20))\/((-3)\/(-4)). Let p(x) be the second derivative of x**5\/20 - 5*x**4\/12 + 5*x**3\/6 - 5*x**2\/2 - 2*x. Determine p(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 7\/39, 0.7, 4?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -d + 12, b - 3 + 11 = -d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*o + 47*o = -8*m + 296, 3*m + 2*o = 111 for m.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 3\/8 (c) 0.2 (d) 1\/2272 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 j when three letters picked without replacement from jjyyyjyjjjjyj.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2235930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3 - 5 + 101*g - 8 + 2. Is x(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12\/131 + -202\/655. What is the third smallest value in 0.36, z, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -526*w - 15*w - 188*w to o + c*w and give c.\nAnswer: -729","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3 + sqrt(32))*-3.\nAnswer: -54 + 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -30*k + 262. Suppose 2*c = k, 4*c = -4*z + 90 + 2. Calculate the least common multiple of 24 and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -325660*m**3 + 1489906*m.\nAnswer: -1953960*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9865 by -1.\nAnswer: 9865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -103 (c) -1 (d) 473 (e) 1\/3 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 6*o - 2*o - 5*j, -3*o - j + 3 = 0. Suppose -3*v + 20 = -5*g, v = -o*g + 3*g + 2. Let t = -3 - g. Calculate the highest common divisor of t and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9132, -18230, -27330, -36432, -45536, -54642, -63750?\n\"Answer: -s**2 - 9095*s - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 2. Suppose -4*i = -4, -4*i + 3 = -m - i. Let c be a(m). Let r be 1*15\/3*(6 - c). What is the highest common divisor of 16 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*d = 91, -4*d - d + 470 = -5*x. Let b = 390597 - 390692. Which is smaller: x or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34081\/6594 - 2\/1099. Let i = -15287\/2640 + -5\/528. Find the common denominator of i and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 - 38. Let g = p + 12.2. Let x = g + -1. Which is the second smallest value? (a) 0.3 (b) 2\/11 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3080783 to the power of 1\/3, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -144201 (base 6) in base 11?\nAnswer: -a494","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -29701 at least as big as -29707?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84 - (86 + -13 - 29).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**2 + 43208*j + 233366408 = 0.\nAnswer: -10802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 5*x - 2*x, x + 2 = -p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 145 - 145 - 24*u to g*u + n and give g.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*j**2 + 590*j**2 - 19*j**2 - 544*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (3 - 5) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 10) to base 5\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*g = 54*g - 122*g + 28. Solve 6 = -0*x - 3*x + 3*n, -12 = 4*x - g*n for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v - 8*v + 2 + 3*v**2 - v. Let w be u(3). Solve w*p + 5*j - 5 = -0, -5*j + 17 = 2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by -61592.\nAnswer: 2\/7699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**3 - s**3 + s**3)*(1 + 0 + 0) + 3*s**3 + 5 - 4 - 4*s**3.\nAnswer: -5*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8576542ml in litres?\nAnswer: 0.0008576542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 100184155 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 633 at most 818?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10231311212 + 1?\nAnswer: 10231311213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.247 (b) 5 (c) 2\/9 (d) -7 (e) 3\/5 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11, -36, -79, -140, -219?\n\"Answer: -9*f**2 + 2*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 0.2, 1.6, 8, -0.8, 0.3?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/37530 and -83\/41400.\nAnswer: 17263800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*k = -15, -4*d - k - 16 = 3*k. Solve 2*a - 9 = 5*i, 0 = -5*i - d - 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 108782817.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vm when two letters picked without replacement from vmmmmmmm?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 232 divided by 116.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 24. Suppose -10 = -2*s, -4*s + m + 8 = -3*t. Solve -3*z + 10 = t*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/1494 and -46\/27?\nAnswer: 4482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-201.\nAnswer: -100.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/37464 and 55\/5352.\nAnswer: 37464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -5*v**5\/3 - 89*v**4\/3 - 158*v**3\/3 + 10*v**2\/3 + 163*v\/3 + 79\/3 = 0.\nAnswer: -79\/5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -20, -27*f = -22*f + u - 10 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 976 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-5 - (-6 - 1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**0)\/c**(1\/3)*(((c**(-1\/14)\/c)\/c)\/c)\/c*c\/c**(2\/29)*((c**(-2\/3))**(-2\/7))**30 assuming c is positive.\nAnswer: c**(3947\/1218)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 8:16 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**2 - 3*o**2 + 5*o + 7*o**2.\nAnswer: 7*o**2 + 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(-37663)\/(-4 - (-87)\/21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m**2 - 344 - 15*m**2 + 15*m**2)*(-5 + 5 - 2 + (-3 + 1 + 0)*(3 - 4 + 2)) to the form d + q*m + p*m**2 and give d.\nAnswer: 1376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 6*u**2 - 26*u - 37. Let r be j(-1). Let n be (7 + -15)*2\/4. Put r, -24, n in descending order.\nAnswer: n, r, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 4:00 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14696577 + -0.05.\nAnswer: 14696576.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 + 100*t + 100*t - 407*t + 101*t + 102*t to w + a*t and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -13095*t. Let a(h) = 6*h**2. Calculate n(a(f)).\nAnswer: -78570*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 9*f. Let i(z) = 4722*z - 3 + 61*z**2 - 4722*z. Determine i(r(q)).\nAnswer: 4941*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 247*y**5 + 2*y**3 + 73542*y**2?\nAnswer: 14820*y**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -29*p + 73 + 3*p**2 + 37*p**2 - 51*p - 35*p**2 - 33*p. Calculate l(22).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -7*i**2 + 55*i + 12. Let q be n(7). What is the highest common divisor of 90 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-6)\/(-27))\/(191620\/(-25740))?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2877 is divided by 680.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11, 0.02, -0.05, 2, 0, 80?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 5 - (5 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = o + 6134, -3*a - 2018 = -11*o + 2559. Is -1533 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/(-6) - (49\/(-21) - -3). Let g(q) = -q**2 - 1. Let j(o) = 1. Determine m*j(f) - 3*g(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 14 = -4*h, 5*i - 102 = -5*h + h. Suppose -i*c + 19*c = 0. Solve 3*m + 5*g - 4 = c, -4*m + 2*g - 12 = -0*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -696.2 + 696. Which is the closest to -0.1? (a) n (b) -17 (c) -2\/13 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - ((-7 - 6) + 20).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 146649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 23?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.18 - -0.08. Let k = 0.1 + 0.4. Let r = -1.2 + 1. Sort b, k, r.\nAnswer: r, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2257 and 25571871.\nAnswer: 946159227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 12:14 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -9*k**3 + 182*k**2 - 616*k + 128 = 0.\nAnswer: 2\/9, 4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-11)*f)**24 assuming f is positive.\nAnswer: f**(-240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirteen fifths of a millennium?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 6. Let d be 33 + 2 + 1*p. Suppose z = -4*h + d - 10, 4*h + 12 = 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 172705?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.319 + -183.319. Let t = m - -182.8. Which is the closest to 2? (a) 5 (b) t (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 1763298?\nAnswer: 8816490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x - 4. Let j = -807 - -812. Let n(q) = 4*q - 5. Determine j*n(k) - 6*o(k).\nAnswer: -4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 1\/55, 0.5, 9, 5 in ascending order.\nAnswer: 1\/55, 2\/11, 0.5, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*((c*(c*c**(-2\/7))\/c)\/c)\/c*c*(c**(-1\/13)*c*c*c)\/c*c)\/(c**(-2\/5))**(-33))**(-6) assuming c is positive.\nAnswer: c**(26106\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 24 = -5*u, 0 - 27 = 5*u - 2*m for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -99\/8 at least -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 6*((sqrt(7) + sqrt(14)\/sqrt(2))*-1 + 2).\nAnswer: -12*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4484 and 55252?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 15 = 5. What is the third derivative of -8*l**r + 5*l**4 + 4*l**2 + 5*l**2 + 4*l**2 wrt l?\nAnswer: 120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 82 - 48. Suppose a + a - f = -5*z, -4*a + 2*z = -20. What is the third derivative of 0 - 2 - 10*v**2 - a*v**4 + 2 wrt v?\nAnswer: -168*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*s = 101 - 101 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 895*a**2 - 132*a**3 - 17*a**3 - 37*a**3.\nAnswer: -186*a**3 + 895*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 9. Let y be 9\/(9\/k) - -10. Suppose 4*p + 0*p + y = 0. What is the closest to 2\/7 in -4, -1, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*a - 10*a - 21*a.\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -9*r**3 - 5*r**2 - 9*r + 24. Let s(q) = 19*q**3 + 8*q**2 + 15*q - 49. Calculate 5*a(o) + 3*s(o).\nAnswer: 12*o**3 - o**2 - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17462423?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 - -48. Let a = r + -74. Solve -w = -3*s - a, -s + 3*s = -w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 522 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -136 by -4073.\nAnswer: 136\/4073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 e when two letters picked without replacement from {x: 9, l: 2, e: 2}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331 is divided by 51.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-2054)\/(-104) + 16\/(-1)) + 164\/130?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -141156, -282315, -423474?\n\"Answer: -141159*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -3. Let m = -13398.1 - -13398. Which is the closest to -0.3? (a) j (b) -2\/15 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1216416 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(49)\/((sqrt(42) + 2*sqrt(42))\/sqrt(6)).\nAnswer: -1 + sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5*l**4 + 0 + (5*l - 4*l + l)*(-l**3 - l**3 + l**3))*(25*l + 88*l + 138*l + 126*l).\nAnswer: -2639*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -446296*c**3*n + 14*c**2*n - 5*c**2 - 2*c + 25*n wrt c?\nAnswer: -2677776*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -1\/210*q**5 + 22*q**2 + 1\/21*q**3 - 1\/24*q**4 + 0 + 0*q + 1\/120*q**6. Factor d(k).\nAnswer: (k - 1)*(k + 1)*(7*k - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b + 2*b + 58 + 10 - 135.\nAnswer: -b - 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seventeen quarters of a meter?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44890, -44943, -45032, -45157, -45318, -45515?\nAnswer: -45748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 165241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*p + 21 - 29 = 52 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24141 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-25)\/10*48\/20\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.13? (a) 40.83 (b) -5 (c) -0.5 (d) -1 (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f**(4\/11)\/f))\/(f\/(f*f**(-5\/3)*f)))**12*(f\/(f*f\/f**(-12)*f)*(f*f*f**(-3\/10))\/f)**(-4\/11) assuming f is positive.\nAnswer: f**(1566\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111201122112 (base 3) in base 4?\nAnswer: -3003231230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-13)*y*y*y\/y**(-1\/23)*y*y assuming y is positive.\nAnswer: y**(-160\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -113\/5, -2\/7, -3\/7, 2\/17 in descending order.\nAnswer: 2\/17, -2\/7, -3\/7, -113\/5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202*j - 261*j = -96594 - 343. What is the highest common divisor of 31 and j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 - 35. Let p be 9\/12 - ((-225)\/4 - 2). Let d = 64 - p. Solve 3*k - 2*k + m*x = 8, -x - 5 = d*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*r**3*w**3 + 4*r**3*w + 131*r**3 + 2388*r**2 + 6*r*w**3 + 2*r*w**2 wrt r?\nAnswer: -18*w**3 + 24*w + 786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -128 - -128. Suppose -i + 4 = q, -3*b + 3*i + 329 = -i. Calculate the remainder when b is divided by 25.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.6 times 2?\nAnswer: 117.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q + 239 = -5*q + 41 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 429, 427, 425?\nAnswer: 423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4556 is divided by 2256.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-27)*(-90)\/(-40)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 m when three letters picked without replacement from {n: 2, a: 1, m: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in 0.7, -1\/4, 271, -2, -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97187.\nAnswer: 97187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*b - 2*b + 5*b)*(4 + 117 + 20) as c*b + f and give c.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2365 divided by 4?\nAnswer: 2365\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 488*m - 497*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(7\/4)\/g*g**(-10))\/(g**(-1\/5))**(-6\/25) assuming g is positive.\nAnswer: g**(-4649\/500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4721\/32949 - 2\/4707. Which is the nearest to i? (a) 2\/9 (b) 0.2 (c) -2\/15 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**2*u**3 - 4*a**2*u**2 - 2*a**2*u + 41*u**3 + 1 wrt a.\nAnswer: -4*a*u**3 - 8*a*u**2 - 4*a*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**4 + 7*k**3 - 7*k**3 + (26 + 16 - 46)*(-k + k - 4*k**2)*(-k**2 + 4*k**2 - 2*k**2).\nAnswer: 14*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 172 + -164. Suppose 0 = d*t - 5*t - 1194. What are the prime factors of t?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -6 + (1 - 5 - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 3) in base 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20.993 + 2.077. Let m = -23 + i. Which is bigger: 0.1 or m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-4)*0 - 0. Let n = 3 + u. Suppose 3*m - 15 = -3*j, 2*m + j = -n*j + 6. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 255\/20 - (-1)\/4. Suppose 0 = -3*j - 3*o + 24, 2*o - p = -4*j + 13. Is 3 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeevtveteteeetee. Give prob of picking 1 e and 3 t.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*k**3 - 1 - 26*k + 2*k**2 - 92*k + 181*k - k**3 - k**3 to the form r*k**2 + m + g*k + n*k**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 55 = -0*h + 3*h, 2*f = 4*h - 78. What is the least common multiple of 2 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - 0*w + w + 12, 579*t + 5*w = 493*t - 708 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2)\/l)\/l)**(-23) assuming l is positive.\nAnswer: l**92","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1279 = -14*r + 100161. Suppose -r = -20*m + 13*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1149 + 1149. Let u(t) be the third derivative of 0*t**3 + 0*t + 6*t**2 + 0 - 1\/60*t**5 + a*t**4. Let o(d) = 17*d. Calculate u(o(m)).\nAnswer: -289*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*u + 1362 - 108 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-9) + 63\/(-63)*(-116)\/(-132).\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of a**6\/20 - a**5\/20 + a**4\/3 + 4*a**3\/3 + 15*a**2. Let d(y) = 4*y**3 - 2*y**2 + 5*y + 5. What is -8*d(j) + 5*n(j)?\nAnswer: -2*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41691 divided by 529.\nAnswer: -41691\/529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -10. Suppose s = 6*f - 5*f - 4. Is (-167 + 1)*f\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44 - 32 - (12 + -4 - -7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30472 to the power of 1\/2, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0809? (a) -9 (b) 1\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h - 3. Let i be x(0). Let z be 4\/i*(-6)\/4. Suppose -z*a + 28 = -10. List the prime factors of a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 0 + 6)*(8 - 5*d - 8)*(-12*d + 11 - 11)*(-2*d**2 - 2*d**2 + 3*d**2) in the form u + f*d + s*d**4 + o*d**2 + t*d**3 and give s.\nAnswer: -600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*r - 5 + 5)*(0*r - 6*r + 4*r) - 470*r + 470*r - 283*r**2)*(-r**3 + 3*r**3 + 0*r**3).\nAnswer: -574*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 11:48 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*o**2 + 24*o**2 + 44*o**2 - 6566*o + 6587*o + (-o - 2*o + 2*o)*(-3 + 3 - 3*o).\nAnswer: 87*o**2 + 21*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4560, -9120, -13680, -18240?\n\"Answer: -4560*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9051 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 65560*f - 590038. What is d(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.2 - 0.8. Let k = 6 + f. Let y = 0.01 + 0.99. Which is the second biggest value? (a) -3\/8 (b) y (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0382189 rounded to three dps?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.7, -0.65, -2\/83, 0, 0.03?\nAnswer: -0.65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 27, 2\/9, 0, -0.2 in descending order.\nAnswer: 27, 2\/9, 0, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -122d - f?\nAnswer: -123c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 1. Let o be n*-1*4\/10. Let v = 2.07 - 2.27. What is the closest to o in 0.2, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-32)\/(-12) - (-6)\/(-9). Suppose 0*r = -d*r - 2. Which is greater: 2\/59 or r?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/80 + (-804)\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from frkjbvb. Give prob of sequence fjr.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 485 + -484. What is the closest to 2\/19 in z, 4, 2\/11, 3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**3)\/b**(-4))**(2\/5)\/(((b*b**(-1\/4))\/b)**(-32)*(b\/((b**0*b)\/b))**(-1\/10)) assuming b is positive.\nAnswer: b**(-47\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3563, 4819, 6073, 7325?\n\"Answer: -z**2 + 1259*z + 2305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -d - 3*h + 7, d - 2*h - 6 = 0. Let f = 2.355 + -1.855. Which is the nearest to 0.2? (a) 0.3 (b) d (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3727872 by 6472.\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -n - 0*n. Suppose 7*w - n*w - 4 = 0. Solve -5 = q - 2*q - 2*t, 5*q = -w*t + 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -23 - -24 - (-1 - 1). Let o(t) be the third derivative of 0 + 2\/3*t**l + 1\/24*t**4 + 4*t**2 + 0*t. Give o(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 13*d**2 - 4*d + 2. Does 23 divide o(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 4*x - 5. Let q be f(6). Suppose 6 - 3 = -3*c, q = 2*r - 3*c. Suppose 3*p + 102 = d, 0*p = -r*d + 4*p + 196. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 202 and 1578125.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 24*v**2 - 23*v + 60. Let n be g(-25). Is 4\/n - (-17180)\/50 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1197 and -6?\nAnswer: -7182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**5)**(7\/3))**(2\/21) assuming s is positive.\nAnswer: s**(10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 2*o**2 + 2*o. Let k(f) = f**2 - f. Let h(d) = -d**2 + 21*d + 4. Let r be h(21). Suppose s = -s - r. Give s*k(n) - m(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 774042326.059995 - 774058165. Let m = x + 15839. Let y = 0.06 - m. Round y to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovexwveowwwwwxwwi. What is prob of sequence vi?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4005632*y**2 - 2463863*y wrt y?\nAnswer: 8011264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1971 minus 0.317042355?\nAnswer: -0.514142355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2307*i - 27386 + 1927 = 2225 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 392748 to the nearest integer?\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 14 - 5. Calculate the remainder when 92 is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -10. Let m(p) = -2*p**2 + 9*p. Let i(t) = t**2 - 5*t. Let k(z) = z + 10. Let h be k(-8). Suppose h = -g - 2. Calculate g*m(y) + u*i(y).\nAnswer: y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/12121683 and -50\/838607?\nAnswer: 133338513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4*k - k**2 - 3 + 6*k + 6*k + 2. Let x be s(5). Suppose -x = -4*g + 18. What is the greatest common factor of g and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -15 + 0)*(9\/(-27))\/((-75)\/(-45)).\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 3:15 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.7397466 from -107794.3.\nAnswer: -107790.5602534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**3\/3 - 100307*c**2\/3 - 401249*c\/3 + 167185 = 0. Calculate c.\nAnswer: -5, 1, 100311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296466?\nAnswer: 2, 3, 49411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 5 = -3*z, -2*z + 2*j + 18 = -2*j. Suppose -c - 4*c = 4*g - z, -g = 2*c + 1. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-6) + 0)*-26. Let k = 27 + a. Let z = -382 + 396. What is the greatest common divisor of z and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 63457, 63458, 63459, 63460?\n\"Answer: m + 63456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4982*k - 144 = 4966*k for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/110? (a) -1 (b) 1 (c) 32 (d) 3 (e) 90\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m. Let h(v) be the third derivative of 0*v**3 + 0*v - 8*v**2 + 0 - 5\/12*v**4. What is h(w(j))?\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17 - -4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 - t + 2. Let y(k) = -511*k**2 - 25*k + 9. Let o(n) = 2*u(n) - 2*y(n). What is the second derivative of o(s) wrt s?\nAnswer: 2052","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2558 + -2519. Sort -5, 2, 1, z in descending order.\nAnswer: z, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 767322.8 days in microseconds?\nAnswer: 66296689920000000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13 + b4b5?\nAnswer: b4c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 12. Let z = -3.1 + -16.9. Let h = z - -16. Which is the closest to 1\/3? (a) h (b) 3\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.957 + 3.864. What is the third smallest value in -1, -2\/9, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 4649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1187.9 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9085, 9062, 9023, 8968, 8897, 8810?\n\"Answer: -8*a**2 + a + 9092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 304*o**3 - 572*o**3 - 801*o**3 + (-2 - o**3 + 2)*(-3 + 4 - 3) - 18*o**2 + 18*o**2 + 2*o**3 + 2 as n*o**2 + z*o + s + l*o**3 and give l.\nAnswer: -1065","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 20*u**2 + 258*u - 26 = 0?\nAnswer: -13, 1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 54994*n + 329991. Calculate f(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*n - n. Suppose -2*o = 4*a + 3028, n = -4*o - 0*o - a - 6042. Round o to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1513 >= -1513?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**2 - o**2 + 0*o**2 - 6*o**2 + o**2 + 3*o**2 + (-5*o + 3*o + 4*o)*(3*o + 0*o - o) + 41*o**2 - 63*o**2 - 73*o**2 as i*o + l*o**2 + j and give l.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 5*q - 46. Let l(o) = -o**2 + 8*o - 5. Let v be l(q). Suppose -416 = -k - v*k. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 279*s - 85481 = 260*s. Calculate the remainder when s is divided by 125.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -160 less than or equal to 3277\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 + 300235*g - 26381960.\nAnswer: -5*(g - 59959)*(g - 88)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + y + 1, 0 = -3*p + 4*y - 2 - 9. Let o = 6 + -2. Suppose p*w = o*w - 28. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**2 + 24 - 6 - y**2 - 7 in the form m + s*y**2 + c*y and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9115 divided by 5.\nAnswer: 1823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -7. Suppose 0 = -3*h + p + p + 23, y*h - 25 = -3*p. Let f(q) = q + 4. Is f(h) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1629055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 270 + -269.99999797. What is k rounded to 7 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-21)*y*y*((y\/(y*y**(-28)))\/y*y)\/y*(y\/((y*y**(-39)\/y)\/y))**(-10\/11) assuming y is positive.\nAnswer: y**(-322\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2881659?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**4\/7 - 6*d**3 + 2024*d**2\/7 = 0.\nAnswer: -44, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -x - 4*m - 25, -m = -5*x + 280. Let s = x - 343\/6. Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 14\/52522651?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -83682013 - 4?\nAnswer: -83682017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -0.093\nAnswer: -0.0279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -105002*-1578\nAnswer: 165693156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -363*n. Let o(l) = 3*l**2 - 4*l + 8. Let p(r) = r**2 - r + 2. Let z(k) = -o(k) + 4*p(k). What is z(b(m))?\nAnswer: 131769*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.156 - 0.7?\nAnswer: -0.856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 92*v - 2*v**4 - 6 - 92*v + (v**3 + 0*v**3 - 2*v**3)*(2*v - 2*v + 2*v).\nAnswer: -4*v**4 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.19 and -0.1152.\nAnswer: -0.021888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of 51*t**7\/7 + t**6\/120 + 3673*t**4\/12 - t**2 + 230*t + 1. What is the second derivative of o(y) wrt y?\nAnswer: 18360*y**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 49 = 2*h + 5*o, 0 = -4*h - o + 29. Suppose -4*q = b - 10, 2 + h = b + 3*q. Is (74\/b)\/((-1)\/(-3)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 133 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 691 + 415 = 2*u. Let v = -258 + u. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -63*n**4\/2 - n**2\/2 - 166*n - 131. Differentiate g(f) with respect to f.\nAnswer: -378*f**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 5*b + 714 - 14, 5*b + 557 = 4*k. Suppose -j = -2*j + 13. What is the highest common divisor of j and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002633844819 to 7 decimal places.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.505 and -11.\nAnswer: 60.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*7\/(-14)*10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 43 = 4*m, 5*p = m - 4772585 + 4772610 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(3) + 1 + 0)*1 + (sqrt(300) + 2*sqrt(300) + sqrt(300) + 5)**2).\nAnswer: 802*sqrt(3) + 9652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one fifth of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m + 12. Let g be o(8). Let t(w) = -2*w + 4. Let y = -15 + 14. Let j(i) = -1. What is g*j(h) + y*t(h)?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1602, -3032, -4428, -5790, -7118, -8412?\n\"Answer: 17*u**2 - 1481*u - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - f. Let m be r(0). Let l(n) = m*n + n + n. Let k(a) = -a**2 + 3*a. Let h(o) = -6*o**2 + 16*o. Let t(w) = 3*h(w) - 16*k(w). Calculate l(t(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23\/5 + -22\/5. Let r = 1.1 - 1. What is the nearest to r in j, 0.3, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -2*v - 6. What is the fourth smallest value in 0, v, -0.4, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 808531?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 221127 - 373395.\nAnswer: -152268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17086268 by -4.\nAnswer: 4271567","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is -315591 bigger than -315619?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.192337 less than 11983?\nAnswer: 11980.807663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121344 is divided by 3771.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2404 + 43935763?\nAnswer: 43938167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2592 - -0.2392. Which is the third smallest value? (a) d (b) 0.45 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 9*f**2 - 2*f - 6. Let j(p) = -p**2 + p + 1. Suppose -2*c - 3*q + 14 = 0, -5*c - 3*q = -23 - 21. Let a(r) = c*j(r) + 2*i(r). Factor a(d).\nAnswer: 2*(d + 1)*(4*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -e?\nAnswer: e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 1 = -m, -l + 1 = 2*m - 0*l. Find the second derivative of -f**3 + m*f**3 + 4*f - f**3 wrt f.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120267 is divided by 13359.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l - 6. Let c be q(-10). Suppose 0*g - c*g = 3*a - 3255, 0 = -5*g - 4*a + 4070. What is g rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15 - 1776?\nAnswer: -2013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -891 (b) 6.9 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5362.628131 rounded to 1 decimal place?\nAnswer: -5362.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d - 1. Let r be f(5). Differentiate 69 - 66 + 46*u**4 - 21*u**r with respect to u.\nAnswer: 100*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((0 - 6)\/8850). What is the common denominator of (-115)\/n + (-2)\/20 and 5\/6?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 54 (b) 5 (c) -2\/5 (d) -3 (e) 1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 8*a - a**2 - 19*a**2 + 8*a - 3. Let d(c) = -6*c**2 + 5*c - 1. Let f(r) = 7*d(r) - 2*l(r). Let k(p) = 4*p**2 - 7*p + 3. Give 7*f(q) + 3*k(q).\nAnswer: -2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8 - (0 + 0 - -4). Suppose -a*u - 46 = -502. What are the prime factors of u?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(-14)*(b*b\/(b*b**(-2)\/b))\/b*b**(-1\/30)\/b*b*b**(1\/13) assuming b is positive.\nAnswer: b**(7037\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1444 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31095*n**3 - 8*n**2 + n - 126 wrt n?\nAnswer: -186570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/133)\/((-6727)\/(-12369)).\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1275 or -3?\nAnswer: 1275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + ((3 - 1) + -2 - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/2*1*(-4412)\/(-3309).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10.826 and 0.2.\nAnswer: 2.1652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22104 or 22089?\nAnswer: 22104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*g + 20. Solve l**2 - 4*l - 6*l**3 - 4*l**2 + g*l + 0*l**2 = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 885224 and 18112.\nAnswer: 2264","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Expand 51*h**2 - 347*h - 60*h**2 + 411*h + (-7*h + 3*h + 2*h)*(-2*h - 1 + 1).\nAnswer: -5*h**2 + 64*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + -1. Let p = 8 + l. Suppose -87 = -p*o - o. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 74*d**2 - 328*d - 1132. Give v(69).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*r = 277, -r + 122 = -3*i + 403. Suppose 2*t - x = -t + i, -28 = -t + 2*x. Suppose -t = 5*a - 4*v, 0 = 2*a + 4*v - 4. Is -4 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/1)\/(8\/60). Suppose 2*q = -3*q + n. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 5*n + 3. Let t be w(-5). Suppose t*b = 2*k + 6, b = 5*b + 2*k - 8. Put b, 0, -1 in increasing order.\nAnswer: -1, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*440\/(-750) - 8 - 588\/10?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of 1\/900*j**6 + 44*j**2 + 3\/20*j**4 + 27\/5*j**3 - 1\/30*j**5 + 3*j + 0. Factor t(s).\nAnswer: 2*(s - 9)**2*(s + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26839123?\nAnswer: 29, 925487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -352, -709, -1066, -1423, -1780?\nAnswer: -2137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*l + 1092 = 0. Suppose -1013 = -2*m + 3*n - l, 3*m = 5*n + 1108. Calculate the common denominator of 57\/44 and 1\/(-10)*m\/16.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**4\/2 + 11*u**3\/2 + 21*u**2 = 0 for u.\nAnswer: -3, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*q - q + 6*q)*(0 - 3 + 5) + 4*q - q - 2*q - 4*q - 33*q - 7*q)*(q - 4*q**2 + q**2 + 4*q**2).\nAnswer: -39*q**3 - 39*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 3:06 PM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 0*a - 1\/2*a**2 - 1. Let x be h(-3). Solve 5*s - 6 = x*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/7)*v)**(1\/8)\/(v**0*v)**50)\/((((((v\/(v\/v**(-2\/5))*v)\/v)\/v)\/v)\/v**2)\/(v**1)**49) assuming v is positive.\nAnswer: v**(977\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18951759283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 534 and 270471.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 23.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/((b\/(b**3\/b))\/b))\/(b**(-7)\/b)*(b*b**(5\/2))\/(((b\/b**(-5))\/b*b)\/b) assuming b is positive.\nAnswer: b**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 12:39 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 989719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 40 = 5*y, 0 = 3*c - 2*c - 5*y + 32. List the prime factors of (-1925)\/(-20) - c\/16.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1342 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p*v*y - 2*p*v - 243*v**3*y**2 + 4*v**3 - 43*v with respect to y.\nAnswer: -2*p*v - 486*v**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 3*t + 3. Let a be s(2). What is the units digit of -3 + a*(18 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 13*q + 9544 = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75, -5, 58, 2, 30, 3, 0 in descending order.\nAnswer: 75, 58, 30, 3, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44 + 79. Is w 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 1114586730?\nAnswer: 2, 3, 5, 1376033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1030222203310311 + 3?\nAnswer: -1030222203310302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 12, 30, 56, 90, 132?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1140.894 + 1142. Let v = 0.054 + o. Let g = v + -0.16. What is the smallest value in 2, -0.1, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(-6)*(-2)\/(-6). Let z = -57 - -58. Let i be (-256)\/(-40) + 4\/(-10) - 6. What is the third smallest value in j, z, i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 6.358 in decreasing order.\nAnswer: 6.358, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 8:40 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1839.91 + -38.09. Which is greater: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -134175, -44 in descending order.\nAnswer: 5, -44, -134175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 12)\/(2\/3). What is the third derivative of -r**2 + z*r**3 + 8*r**3 - 22*r**3 wrt r?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 80 or 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*d**2 - 27*d**2 - 3*d - 9*d**2 + 8*d**2 as h*d**2 + i + q*d and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 28 = -z, -z - 3 + 26 = -4*w. Sort -3, 0, 4, z in decreasing order.\nAnswer: 4, z, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 divided by 1442.\nAnswer: -37\/1442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 8:45 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(3 - (-964)\/(-322)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1289 is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 - 435\/(-15) - (38\/(-6) + 7)?\nAnswer: -47\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1214 - 0?\nAnswer: -1214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*j**2 + 6*j**3 - 3*j**3 + 26*j**2)*(649 - 38 - 54).\nAnswer: 1671*j**3 + 1114*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + g = 26, -216*g = -4*n - 211*g + 79. Let d = 77 - 25. What is the remainder when d is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002200659956 rounded to 7 decimal places?\nAnswer: 0.0022007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 5*w + 13, -2*w - s + 2 - 9 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -203 - -125 - ((0 - 0) + -2 - (14 + -18))?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-2 - -2) - 1 - (-794 + 799).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 - m**2 + 2*m**2)*(-5*m**2 + 0*m**2 + 6*m**2) - 4002*m**2 + 4002*m**2 - 123*m**4 + 2.\nAnswer: -121*m**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 170, -2, -0.02, -0.28?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, o: 1, e: 3, h: 1, i: 3, c: 5}. What is prob of picking 1 i and 1 c?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 2\/7, -4, -0.22, -101?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w + 6 + w**4 - 77421*w**3 - 4 + 77422*w**3 + 6*w to c + r*w**4 + q*w + y*w**2 + u*w**3 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of (-790228)\/(-17) - (-3 - 19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**4 + 2*c**3 - 9*c**2 - 13*c. Let b(v) = v**2 + v. Let k(m) = 22*b(m) + 2*l(m). Suppose k(q) = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - 0) + 0 + 3 - -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 342 = -99*g + 93*g. Let p = g + 61. Calculate the highest common divisor of p and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 113949489 to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 112994563 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3684890, -7369784, -11054676, -14739566, -18424454, -22109340, -25794224?\nAnswer: -29479106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8 - (0 - (2 + 3\/(-3))). Let y be 14\/3*(-4)\/((-12)\/z). Let a(k) = k**2 - 5*k + 3. What is the units digit of a(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 968307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 875 and 9476250.\nAnswer: 9476250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/6 and 1\/510.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 77*v**2 + 8*v - 84. Let o(z) = -52*z**2 - 5*z + 56. Let p(q) = -8*o(q) - 5*s(q). Find the first derivative of p(f) wrt f.\nAnswer: 62*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 - 16. Solve 2*c = -2*i - 2, -4*c = i - d + 28 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 7:23 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 397912558727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 31.\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 20*t - 2. Let g be (-1)\/(-3) - (-590)\/(-15) - 1. Let c be (3*(-2)\/(-2))\/(15\/g). Is 16 a factor of a(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7117 - 3107 = -426*w for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 5*c = -2*v + 43, 6 = -v - 3*c. Suppose 0 = 47*o - 44*o - v. Solve 14 - 24 + 9*s**3 + 15*s - 14*s**o = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 97895 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or 187\/40?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eighty-five quarters of a day?\nAnswer: 30600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 215 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4\/3 + 768*g**3 - 223476*g**2 + 1320192*g - 1969974.\nAnswer: -2*(g - 573)**2*(g - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6980*n**5 + 2*n**2 - 34*n + 5?\nAnswer: 418800*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3831, 30225, 101775, 241035, 470559, 812901?\n\"Answer: 3759*y**3 + 24*y**2 + 9*y + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 166 or 158?\nAnswer: 166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/9 and 35\/326.\nAnswer: 2934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1689 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 common denominator of 129\/110 and -63\/590?\nAnswer: 6490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1871 + 1876. Which is the closest to -2\/5? (a) 0.3 (b) p (c) -98\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 183.\nAnswer: 36.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 775, 724, 659, 574, 463, 320, 139, -86?\n\"Answer: -a**3 - a**2 - 41*a + 818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132 and 2607?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0 = 3*o + 11, -2*f + 4*o + 14 = 0. Let j(c) = -c - 1. Let p be j(1). What is the tens digit of f - -4*(-5)\/p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of s**3\/3 - 5*s**2\/2 - 4*s - 3. Let y = -5 - -10. Calculate the remainder when y is divided by r(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 1379*l**2 + l + 2. Let r be m(-1). Round r to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17473 + 17473 - 418*s**3)*(8 + 20 - 17) to the form l + c*s**2 + d*s**3 + t*s and give d.\nAnswer: -4598","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cqlnnlh. What is prob of picking 1 n and 1 l?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 2 = -3*s, 2*r - 119 = -16*s - 145 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1624 is divided by 420.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -5851*o**6\/60 - o**5\/10 - 769*o**4\/24 + 64*o**2 - 4*o - 1. What is the third derivative of z(q) wrt q?\nAnswer: -70212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*v**2 + 9 + 11 + 44*v - 28 = 0.\nAnswer: 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaoapqopzoooqo. What is prob of picking 2 q and 2 p?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -6*t + 50. Let l be z(7). Let m(w) = -l - 55*w + 27*w + 29*w. Determine m(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**3 - 382*s**2 + 2374*s + 2027. Calculate u(-197).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -4*s + 4. Suppose -6*g - o = -2*g + 118, -3*o + 23 = -g. Let n = g - s. What is n rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(17\/4))**(-2\/67) assuming m is positive.\nAnswer: m**(-17\/134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.08 - -0.05. Let x = -11.0937 - -0.0937. Is v < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101564989590291 - 0.5?\nAnswer: -101564989590291.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m + 21. Give s(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**3 + 4*d**2 - 2*d + 1. Determine t(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*m + 16 = 0, -p - 4*m = -2*p + 19. Let n(f) = 0*f**2 + p*f**2 + 2*f**2 + 0*f**2. Determine n(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2549\/5 + (-18)\/(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -305 + 155 + 22*f**2 + 168 to the form v + t*f + m*f**2 and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**2 + 0*x**2 - 14*x - 4*x**2 + 2033 - 2053. Suppose 9*u = 10*u + 5. Calculate the remainder when 71 is divided by n(u).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1529253766, 1529253763, 1529253758, 1529253751?\nAnswer: 1529253742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -14 + 13 - 1*-3*1. Let k be 12\/v - (-12 + 16). Solve -2*b - 3 = 3*o - 0, k*o + 2 = -5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 7*r**4\/4 + 9*r**2\/2 - 4*r - 1133. Let s(k) = -k**3 - k + 1. What is g(p) + 6*s(p)?\nAnswer: p**3 + 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*a**4*y + 250052*a**4 + a**2*y + 213*a**2 + 6*a*y + 3437*y - 1 wrt a.\nAnswer: -192*a*y + 6001248*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (203100\/(-192945))\/(4\/266)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3932 + 2817. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vavvl. Give prob of sequence vlav.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -206.3831 and 0.4?\nAnswer: 206.7831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 63\/12 + 40\/(-32). Suppose 2*h - 373 = -6*d + 303, -5*d = u*h - 1331. What are the prime factors of h?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*y - 23*y = 660. Calculate the least common multiple of 7 and y.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*-1*(-6)\/9. What is the lowest common multiple of 2 and (c - 0) + 6*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10644369 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3867 - -0.6\nAnswer: 3867.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of 0*z - 13*z**2 + 0*z**3 + 0 - 2\/3*z**4. Let n(b) = -b. What is a(n(h))?\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -593*v + 14803. Calculate z(25).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 17*u - 4. Let j be 2\/(-4) - (-140)\/(-8). Let f be b(j). Suppose -2*d = -d - 13. Which is smaller: d or f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 0, -168, -432, -780, -1200, -1680, -2208, -2772?\n\"Answer: 2*q**3 - 60*q**2 - 2*q + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5003?\nAnswer: 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 + 5*x**2 + 0*x**2 + (-2*x - 10*x + 2*x)*(0*x + x + 2*x))*((-x**2 + x**2 - 6*x**2)*(-2 + x + 2) - 2*x**2 - x**3 - 4*x + 4*x).\nAnswer: 203*x**5 + 58*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -6, -22, 19?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0. Suppose 6*b - 4*b = 4. Solve p = -0*l + b*l - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/6)\/((-9)\/54)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3344618639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-98)\/735*6\/8\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 9:33 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -5 - 35 - 6*o + o + 3*o - 5*o. Let j(l) = -l. Give j(g(s)).\nAnswer: 7*s + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w = -5*r + 13*w + 640, 0 = r - 4*w - 138. Calculate the greatest common factor of r and 338.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84975389 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 10*o - 2. Give q(-12).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, a: 1, m: 3, w: 1}. What is prob of picking 1 w, 1 f, and 1 m?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*r**4 + 1243452*r**2 - 36084217.\nAnswer: 44*r**3 + 2486904*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + d**2 - d + 1. Let y(f) = 4*f**3 + f + 1. Calculate y(r) + z(r).\nAnswer: 3*r**3 + r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/1)\/(16\/56). Let w(h) = 5*h - 8 + 2*h**2 - h**2 - h**3 - 7*h**2 + 0*h. Let v be w(a). Solve 2*g = v*g + 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12052961 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 637\/12, -1\/8, 4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 bigger than 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 89695 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1275?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -15*t**3 + 5904*t**2 - 233211*t - 94230 = 0.\nAnswer: -2\/5, 45, 349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from niooixf. What is prob of sequence xf?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 2873*z + 6*z**3 - 32 - 15*z**3 - 1417*z - 1456*z.\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 0*y - y)*(-1 - 1 + 1) + 0*y - 3*y + 2*y + 1 + y - 4*y + 4*y + (-3*y + y + y)*(-6 + 4 + 1) + 5*y + 5*y + y + 3*y - 9*y - y.\nAnswer: 7*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 5 = 11, -g + 242 = -2*l. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 9*k**2 + 3. Let c be s(9). Suppose -c*n + n = -14. Let g = n - 2. Solve 2*d = -w + 9, 3 = -g*w - 2 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9507742 + -9?\nAnswer: -9507751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 15624188*x**2 - 46872562*x**2 + 2 + 15624186*x**2 + 15624187*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*f + 94*f**3 - 23*f**3 + 4*f**2 - 21*f**3 - 45*f**3 in the form s*f**3 + v*f**2 + q + l*f and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-1 + -1) - (21 + -6 - 9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 457 + -117. Is a a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 + 125*k**2.\nAnswer: 5*k**2*(k + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 g when three letters picked without replacement from tttgttttttgtt?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*m**2*y**3 - 551*m**2*y - m**2 + 54*m*y**4 + 5*y**3 - 2*y**2 + 2*y wrt y.\nAnswer: -156*m**2 + 1296*m*y + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b**6 + 13*b**5 + 2583*b**4 - 64175*b**2 - 7?\nAnswer: 360*b**3 + 780*b**2 + 61992*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22*w - 151*w - 108*w)*(-4 + 5 + 0) + 2*w - 4*w + 0*w to i*w + n and give i.\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of 143*x**5\/60 - 55*x**4\/24 - 55*x**3\/6 - 903*x**2. Let k(z) = 16*z**2 - 6*z - 6. Calculate -55*k(y) + 6*s(y).\nAnswer: -22*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -141.3 rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 37 and 0.4992.\nAnswer: 37.4992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 11 = 34082*y - 34083*y + 2, 0 = -y + 4*m + 3 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(7\/((-8)\/(12\/3)))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) -1 (c) 4\/3 (d) 5 (e) 13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 + 12 = 5*a. Suppose 6*w - 2*w = a. Does 7 divide (190\/w)\/5*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -201, -2199, -7571, -18003, -35181?\n\"Answer: -281*o**3 - o**2 - 28*o + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -2*x - 1, h + 1 = -0*h for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 164 + -295. Let n = -87 - t. Calculate the highest common factor of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*n - 19, -2*n + y + 18 = n. Let r = 3 + -6. Which is the closest to r? (a) -2\/11 (b) 0.2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3116 = 1549*z + 9182 - 3004 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 6*q - q - 25, v = -2*q + 10. List the prime factors of v - (1 - 394) - -6.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, v: 2, p: 4, h: 1}. Give prob of picking 1 h and 1 v.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11935 = 59*o - 276*o for o.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 2)*(-7 - 5 + 1)*(5 - 2 - 4)*(d - 2*d - 3*d).\nAnswer: 88*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -1\/45*i**6 + 0*i**4 + 0*i**2 - 4\/75*i**5 - 3 + 0*i**3 + 0*i. Factor u(f).\nAnswer: -2*f**4*(f + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 + -14403021?\nAnswer: -14403034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - a - 144 = 0. Is -1*1\/6 - 53652\/a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7734 + 7742. Suppose 5*s + 5 + 15 = 0. Put s, q, -12, 1 in descending order.\nAnswer: q, 1, s, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1506 + -25. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*a = -27*a - 25. Suppose -21 = -2*n + a*l, 3*l - 4*l = 3*n - 23. Suppose -n*r + 6*r = -38. Is 16 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 336*z - 1438*z - 12.\nAnswer: -1102*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-2 + -1 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.7683404 and -18.31.\nAnswer: -19.0783404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2\/15, 6, 0.045, 2\/13 in ascending order.\nAnswer: 0.045, 2\/15, 2\/13, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 z, and 1 y when three letters picked without replacement from pyyzeeyyyeyeeyyeeeyj.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.845905744 to 4 dps.\nAnswer: 6.8459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 19083842 to the power of 1\/2, to the nearest integer?\nAnswer: 4369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l + 1. Let q be g(-6). Let w be (0 - 2) + 18\/(-3). Let b = w - q. Let a(t) = -t**2 - 2*t - 4. Determine a(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -53, 79, -4, 0 in decreasing order.\nAnswer: 79, 2, 1, 0, -4, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*q + 45*q - 7*q + 0*q - 4*q**2 - 19*q.\nAnswer: -4*q**2 + 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -84 - -89. Suppose 3*k = 9, 3*k + 2124 + 2372 = i*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 6*p + 254. Determine w(19).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*117\/(-26)*(-10)\/(-1050).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**3 - 7*v**3 - 12*v**3.\nAnswer: -19*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b**3 - 2*b**2 + 3*b. Let o(n) = 9*n**3 + 4*n**2 - 7*n. What is -7*h(u) - 3*o(u)?\nAnswer: u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + d**2 + 3*d + 63. What is i(0)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8094 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 the value of ((156\/(-20))\/(-13))\/(-3)*155?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44040*d + 5*d**5 - d**2 - 13*d**3 - 7*d**5 + 44041*d + (-2*d + 2*d + d)*(-5*d**4 + d**4 + 3*d**4) - d - d**5 + d.\nAnswer: -4*d**5 - 13*d**3 - d**2 + d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 801, 2\/13, -1\/5 in ascending order.\nAnswer: -1\/5, 2\/13, 5, 801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2*h**2 - 2 + (-2*h + 3*h + 4*h)*(42 + 18*h + 25*h - 46*h).\nAnswer: -13*h**2 + 210*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrq when three letters picked without replacement from {r: 4, q: 5, k: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**3 - 3*y**2 + 2*y + 1. Let j(o) = 3900*o**3 - 1170*o**2 + 780*o + 390. Give -2*j(s) + 780*q(s).\nAnswer: -6240*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -20389 times 2280?\nAnswer: -46486920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -998 - 157 + 7156*r + 356 - 7157*r - 550 in the form z + y*r and give z.\nAnswer: -1349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5100\/(-2750)*363\/66.\nAnswer: -51\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 8022*i - 42828*i - 24527*i - 2. Let b be r(6). Round b to the nearest 10000.\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27069 and 126?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2814068 is divided by 1665.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = z - 2014, 3*z - 1896 = -f + 112. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (360\/(-84))\/(((-30)\/(-27))\/(3248\/(-348)))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3 + 0 + ((-2 + sqrt(275) + sqrt(275) + 5 + sqrt(275) + 0)**2 - (sqrt(275) + -1 + -1 + -4)).\nAnswer: 85*sqrt(11) + 2488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4316751.\nAnswer: 3, 479639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 2 - 2)*(3 + 4 - 2)*(1 - 3 - 1)*(2*f**3 - 3 + 3).\nAnswer: -30*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 4:59 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -100957.89639 + 100960. Let d = g - 2.1. What is d rounded to four dps?\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48735?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 not equal to -582\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.01 and 0.0879.\nAnswer: 0.0979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 3) + (-20 - -22). Suppose 3*w - h - 2297 = k, -2*h = 6*w - 2*w - 3076. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6064 or 5957?\nAnswer: 6064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 + 624764?\nAnswer: 624755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*u**4*w - 59*u**4 + 486*u**2 + 2146*u*w + 14*u + 6*w + 1 wrt u?\nAnswer: 240*u**2*w - 708*u**2 + 972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 354.6 + -52.6. Let w = -302.002 + h. What is w rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h**2 + 211*h + 4711. Calculate g(-55).\nAnswer: 2181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4008740103?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v**3 + 5*v**3 - v**3)*(-3927*v - 2110*v - 1574*v) to z*v**4 + n*v + j + l*v**3 + h*v**2 and give z.\nAnswer: -7611","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2073, -3972, -5873, -7776?\n\"Answer: -n**2 - 1896*n - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3*q = -2528394, -6*i + 4*i + 3*q + 1264206 = 0. Suppose -9*c = -2*c - i. What is c rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4364920.26 and 72.\nAnswer: 4364992.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiiiiiiiiui. Give prob of picking 1 u and 1 i.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3, -32, -2, -6.\nAnswer: -32, -6, -3, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(4\/7)\/(j*j\/j**33) assuming j is positive.\nAnswer: j**(221\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-31)\/11 + 16\/(-88). What is the nearest to 4\/7 in 0.3, u, -1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4*q = -8*q - 84, 5*x = q + 255. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -860 - -583. Let u = i - -276.9. Which is the third smallest value? (a) 0.5 (b) -1 (c) u (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 10) + -14 + 2?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -433 - 557?\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0*1\/3)\/(-2). Let -1\/4*z - 1\/4*z**3 + 1\/2*z**2 + p = 0. Calculate z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + 22. Let x be 4 + r\/(-1) + -5. Let h(g) be the first derivative of -g**2 - 6*g - 23. What is h(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 152*y**4 + 97*y**4 - 7 + 0*y - y - 91*y**4 wrt y.\nAnswer: 1896*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -984 - 86. Suppose -2*q - f = f - w, 112 = q + 2*f. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -502*j. Let r(u) = -8*u. Let t(z) = -10*z. Let y(m) = 4*r(m) - 3*t(m). Determine y(d(s)).\nAnswer: 1004*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-324)\/(-72)*(1 + 3\/(-9)). Let c(x) = -5*x**3 - 2*x**2 - 1. Let q(h) = 11*h**3 + 5*h**2 - h + 3. Let i(y) = -9*c(y) - 4*q(y). Determine i(v).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -4, -204.\nAnswer: -204, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**13)*p**(-6))\/(p**(-3)*p)**(-6\/19) assuming p is positive.\nAnswer: p**(-373\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x. Let k(u) = -64818*u**2 + 129653*u**2 - 64827*u**2 + 264. Give w(k(y)).\nAnswer: -16*y**2 - 528","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5*8\/(-60)*(-30)\/(-4). Let s(n) be the first derivative of n**5\/60 + 7*n**4\/24 - n**2 + 2. Let b(w) be the second derivative of s(w). Determine b(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -2*h**3\/33 + 70*h**2\/11 - 2450*h\/11 + 371. Factor w(y).\nAnswer: -2*(y - 35)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5893 - 5898. Put 1, 0.01, q, 6, -0.2 in decreasing order.\nAnswer: 6, 1, 0.01, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -67*u + 6 + 61*u + 8. Let n(c) = 5*c - 13. Let b(r) = -5*n(r) - 4*t(r). Determine b(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-37)\/(-5))\/(-1) - ((-140)\/45 - 2684\/(-990))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1115*z**2 - 5*z**4 - 7*z**4 + 1016*z**6 - 1058*z**6 wrt z.\nAnswer: -5040*z**3 - 288*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, u: 10}. What is prob of picking 1 k and 1 u?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 24*d + 3750. Let v be (40\/d)\/(((-8)\/25)\/4). Determine k, given that 25\/3 + 1\/3*k**2 - v*k = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 17.7. Let y = -7 - -7.1. Which is the nearest to y? (a) g (b) 3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -42, 2 in ascending order.\nAnswer: -42, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 146, 24, 4\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -35792907.\nAnswer: -1\/35792907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10579 by -3709.\nAnswer: -10579\/3709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4408 - 2177 - 1995)*(-1 + 2 - 2)*(-c + 0*c - 2*c) to z + d*c and give d.\nAnswer: 708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 13*i**3 + 4*i + 42. Let t = 93 + -97. Let m(o) = -12*o**3 - 5*o - 42. Let g(h) = t*m(h) - 5*j(h). What is the first derivative of g(s) wrt s?\nAnswer: -51*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10, -3, -36, -89, -162, -255, -368?\n\"Answer: -10*d**2 + 17*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.4, -2\/13, 0, -2757 in descending order.\nAnswer: 0, -2\/13, -0.2, -0.4, -2757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 301 = -1240. Let s = 316 + x. Let p = -202 - -3031\/15. Which is the third smallest value? (a) p (b) s (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, w: 1, i: 3, a: 6}. What is prob of picking 2 a?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u - 25249 + 25249.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and 650658231775?\nAnswer: 650658231776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/12*1)\/(2\/(-9)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-2)*(30 - 0). Let y = s + -40. Solve 28 = y*c + 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3628314, 7256630, 10884946?\n\"Answer: 3628316*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 192*p + 5127. List the prime factors of t(36).\nAnswer: 3, 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -960474 and -45.\nAnswer: 43221330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2 + 55214*p + 386413. Determine m(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 54, -2, 1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**2 + 2*x**2 - 93*x + 337*x - 100*x + 2*x**2 - 144*x.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 285 + -283. Which is the nearest to 2\/3? (a) -1\/4 (b) -0.04 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18807 = 3*w - 2*t, -2*w + 2*t + 18795 = -5*w. Let g = -4216 - w. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(13\/(-21) - (-4)\/14). Let r be 2*3\/4*4\/g. Let n be 50\/4 + 1\/r. Solve -n = 7*k - 3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 16486*i + 82456. Give y(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*w**2 + 21*w**2 + 31 - 10*w + 10*w**2.\nAnswer: 5*w**2 - 10*w + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -54222.315 rounded to the nearest one thousand?\nAnswer: -54000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**3 + 79*f**2 - 38*f - 105. What is z(39)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0*l - 2*l = 8, 3*x - 5*l = 28. Suppose -b - x = 1. Is ((-130)\/6)\/(b\/6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vd when two letters picked without replacement from vvdv?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1103*g - 23715 - 6315 = -1532*g for g.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -28134, -28069, -27968, -27831, -27658, -27449?\n\"Answer: 18*q**2 + 11*q - 28163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3245372 is divided by 1081764.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -681 - 2662?\nAnswer: -3343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*r**3 - 360 - 209931*r**2 - 62*r**3 + 209929*r**2 as u*r**2 + o*r**3 + b*r + n and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.1 + -0.9. Which is the nearest to 0? (a) p (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -569 - -1901. What are the prime factors of h?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 717111793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2.1 (b) 3 (c) -2\/19 (d) 0.0223 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8188, 8422, 8656, 8890, 9124, 9358?\n\"Answer: 234*g + 7954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 94078 and -0.1.\nAnswer: -9407.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13659558817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 19*y**2 - 20*y - 11. Determine i(20).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/(-4) + (-181)\/(-4) and 1 - ((-625)\/30 + 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -0.05, -3 in ascending order.\nAnswer: -3, -1\/4, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.039472 (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 81.179284 and -3.\nAnswer: 78.179284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lkqrgglrrkru. What is prob of picking 1 q, 2 g, and 1 k?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8381 - 4192 - 3*x**2 - 4189.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 11537156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/2 + (-1 - 1). Let v = 6 + -4. Put v, -5, i in decreasing order.\nAnswer: v, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3*o - 228 = 63, -o = -m + 63. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**4\/7 - 78*r**3\/7 + 1116*r**2\/7 - 6912*r\/7 + 15552\/7 = 0. Calculate r.\nAnswer: 6, 9, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v - 143 = 26*v - 32 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.38 + -0.02. Let c = 8789\/7 - 1256. What is the biggest value in f, -0.2, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 156.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) 1\/10 (c) 47051\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 187, 181, 171, 157, 139?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*h*i*p**3 - h*i*p**2 + 3*h*i + 22*h*p**3 - 36*i*p**3 + i*p**2 + 8*i + 138*p + 2 wrt p.\nAnswer: -126*h*i + 132*h - 216*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 84 + 16. Suppose 2*w = 7*w - 2*i - s, 0 = 4*i - 20. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**2 - 5*h - 6*h - 5 + 3*h + 2*h. Suppose -148*l + 9 = c - 145*l, -3*c - 3*l - 3 = 0. Give y(c).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 0, -a + 12*l = 17*l + 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3\/3 + 483880*c**2\/3 - 4877752336*c - 9756149856.\nAnswer: -4*(c - 60486)**2*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6.1 times 959.5\nAnswer: -5852.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-4)\/12)\/((-2)\/18)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 72498641, 72498639, 72498637, 72498635, 72498633?\n\"Answer: -2*n + 72498643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3, 7, 41, 105, 205, 347, 537, 781?\n\"Answer: v**3 + 6*v**2 - 15*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -289233*k**4 + 2*k**3 + 2292*k**2 - 375*k?\nAnswer: -6941592*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147951 is divided by 36984?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.045195761 rounded to five dps?\nAnswer: -0.0452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*(q*q**(-3))\/q))**31*(q**(12\/5)\/q)\/(q\/((q*q**(-6\/7))\/q)) assuming q is positive.\nAnswer: q**(3239\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (19\/((-912)\/64) - 60\/9) + 16. Solve 3*l = -2*w - 7, 0 = -4*w - 2*l + o - 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of l**4\/24 + 3*l**3\/2 - l**2. Suppose 4*x + 2*x = 11*x. Calculate the remainder when v(x) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*a = 22, 3*k - 5*a = -0*a + 34. Let x = 167 - 125. What is the smallest common multiple of k and x?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35183*i**3 - i**2 + 142892*i.\nAnswer: 211098*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 87539 - 954012 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 7*a**2 - 7*a - 13. Determine v(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 16*z**2 + z**3 + 0*z**3 + 13 - 34*z**2. Let w be h(18). Suppose 0 = -2*l + 21 - w. Solve y + c = -c, l*y + 4*c = -4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/((-5)\/(-6) + -1). Suppose 6*i - 5*i = 5*w + a, -2*i + w = -24. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5))**(4\/11)*((h**(-2)*h)\/h)**24 assuming h is positive.\nAnswer: h**(-548\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 162447811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -70.7 - -71. What is the nearest to -3 in -1, g, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -85 - -121. Suppose 2*y = -2*y + k. Let p(h) = h**3 - 5*h**2 - 14*h + 5. Let c be p(7). Solve -4*u - c*i = -y, 5*i = 5*u + i - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4460*a**2 + 53*a + 82. Calculate the remainder when l(-2) is divided by 110.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -68*a*z - 12*a - 21216*z wrt a?\nAnswer: -68*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 14) to base 4.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w**(-5)*w*w)\/(w**(1\/7)*w))\/(w**1)**(-1\/19))**(-42))**48 assuming w is positive.\nAnswer: w**(118368\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -9*v**2 - 11*v. Let l(z) = 5*z**2 + 6*z. Let q be 1*(-3)\/4*-12. Let p = q - 15. Let w(d) = p*a(d) - 11*l(d). Let h(i) = -i. Give w(h(j)).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000816 rounded to 7 dps?\nAnswer: 0.0000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) - sqrt(2448)*-2) + sqrt(17) + -3 + 5)**2.\nAnswer: 148*sqrt(17) + 23277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2959, 12097, 27189, 48235, 75235, 108189?\n\"Answer: 2977*z**2 + 207*z - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s**5 + 1678*s**4 + 40558*s**3 - 617110*s**2 - 557700*s = 0. What is s?\nAnswer: -65, -6\/7, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 280 and 3864.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2391245*m**3 + 2859272 with respect to m.\nAnswer: 7173735*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-9) - 214\/9. Let f = -14 - n. What is the remainder when 18 is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14024674 or 14024665?\nAnswer: 14024674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 6:40 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18174 + -18160.8. Put -3\/8, 3\/5, h, -4\/9 in ascending order.\nAnswer: -4\/9, -3\/8, 3\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(-2)*a*a*a)**(-3\/13)\/((a\/(a\/(a**2*a)))\/a*a*a*a\/(a**(-8)\/a)) assuming a is positive.\nAnswer: a**(-191\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 10*u + 26. Calculate i(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 4, -0.87, 3\/2, -9\/10, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 825 + 128. What are the prime factors of v?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*(-3)\/(-42) - (-320)\/56. Let v = -11 + 11. Suppose v = -2*l + k*l - 360. Is 10 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 16*u. Let v(d) = 3*d**2 + 4*d - 4. Let o(f) = -f**2 - f + 1. Let k(g) = 4*o(g) + v(g). What is b(k(c))?\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2921, 2969, 3019, 3071, 3125, 3181?\nAnswer: 3239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 1 = 2*d + 3*d, -4*d - 3*p = -1. Let b = 13 - d. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 502 - -5?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 75086 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = -3*z + 4*s, -5*z = -3*s + 7*s - 362. What is the highest common divisor of z and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -208*c + 595. Let f(y) = -2*y. What is p(f(z))?\nAnswer: 416*z + 595","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368 is divided by 91?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -17.513 (b) -3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 5 = -91. Let k = w - -46. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 145.3*-12.58\nAnswer: -1827.874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 9*z**2 - z + 10. Suppose 0 = 3*y - 3*x - 18, -36 = -y - 2*y - 3*x. Let v be w(y). Solve 0*a = a - v for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -5*j**2 - 9*j + 21. What is t(2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1050\/13 <= -82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*w + 4, -3*w = -w + 5*p - 12. Solve 4*u + w = 9 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -5. Suppose -3*y = w - 46, -2*y + 10 = -5*w - 15. What is the greatest common factor of y and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 5*v + 2*n - 900, v = -3*n + 172. Suppose 1 = 3*w + 2*b - 8, -2*w + 6 = -5*b. Suppose -v = -w*u + u. Is 10 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13604426947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*a**2 + 7034*a + 83095?\nAnswer: -10*a + 7034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -128 + 63*r**4 + 1320 + 8*r**2 + 193 with respect to r.\nAnswer: 252*r**3 + 16*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pvvpfvv. Give prob of sequence fvpp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*o**2 + o**2 + 3*o**2 - 2*o**2 - 9*o wrt o?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 572096 is divided by 3063.\nAnswer: 2378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jasxsvsxcvxa. Give prob of sequence cvcv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 163 = -4*l. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 635 is divided by 91?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2092930*c**3 + c - 2877394.\nAnswer: 6278790*c**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6954 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 2 + 12)\/(1\/2)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 182 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 672 (b) 5 (c) -10\/11 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = i, -2*r + 4*i = 3*r - 234. Let v = -19 + 251. Let c = v - r. Round c to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - 8 - (-32 + 27). Let y(r) = 3*r. Let u = 3 + -2. Let p(x) = x. Give a*p(l) + u*y(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/7 + 6*m\/7 + 20\/7.\nAnswer: -2*(m - 5)*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.195 * -1.67634\nAnswer: 0.3268863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**3 - 2*y**2 + y. Let d(v) = 10*v**3 + 30*v**2 + 6*v + 394. Let u(a) = d(a) - 6*i(a). Differentiate u(n) with respect to n.\nAnswer: -6*n**2 + 84*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i - i**2 + 3*i - 15*i - 17 - 7*i. What are the prime factors of y(-8)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 3*u + 4*c - 388, u + 166 = -5*c. Let y = 186 + u. Solve 4*h - 35 = -5*l, 5*h - 3*h + 3*l - 19 = y for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -0.05 (c) 6.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - i - 7. Let o = 6 + i. Let f(m) = 3*m**2 - m. List the prime factors of f(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1517 or 0.01?\nAnswer: 1517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13841, 13831, 13821, 13811, 13801?\nAnswer: 13791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f - 2. Let s be 20 + -34 + (-40)\/(-10). Calculate k(s).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -38081, 2, 0 in descending order.\nAnswer: 2, 0, -38081","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*i**2 + 26*i**2 + 29*i**2 - 5720*i**3 - 88*i**2.\nAnswer: -5720*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1364200 (base 12) to base 6\nAnswer: 214453200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -6*p**3 + 5*p**2 + 21*p + 39. What is the tens digit of r(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1019873 is divided by 92715.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (-5)\/((-5)\/6). Let a = -5 - o. Suppose 3*x - 14 - 7 = -a*y, -15 = -y + x. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -538, -1035, -1808, -2857?\n\"Answer: -138*f**2 - 83*f - 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a + 2*l - 48, 2*l - 383 + 263 = 7*a for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-74)\/(-6)*108\/(12096\/(-112))*3.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 15*z - 10. Let k(u) = u**2. Let d(g) = b(g) - 6*k(g). Let d(j) = 0. What is j?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ntttg. Give prob of picking 2 t.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 104 and -585756879.\nAnswer: -585756775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a + 6*a - 16*a + 35 + 0*a.\nAnswer: -11*a + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.2 - 1. Let h = 6878.4 + -6878. Put -1, h, d in descending order.\nAnswer: h, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -7*x**2 + 0*x**2 - x**2. Let w(i) = 6*i + 104. Let y be w(-17). Let t(m) = m**2 - 8*m**2 + 9*m**2 - m**y. Determine l(t(a)).\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 8*x**7\/7 + 11*x**6\/6 - 22*x**3 - 129. What is the third derivative of s(a) wrt a?\nAnswer: 960*a**3 + 660*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -330 + 330. Solve -2*v + 4*v + 5*p + 3 = 0, w = 3*v + 2*p - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*q + 5*q. Suppose -h - 11 = 3*k, -h + 2*h - 2*k - 9 = q. Solve 5*f + 5*s - 35 = 0, 2*s + 5 = 2*f - h for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + -1 - (-1 + -2 + sqrt(3)) - (-3 + (sqrt(27) + 1)**2 + (sqrt(3) - (1 + -2*sqrt(3))))) + 0 + -3.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 130 - 133. Suppose 3*c = -2*c + 25. Sort 1, r, c.\nAnswer: r, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 6. Let a be 20\/(-3)*24\/(-20). Suppose 2100000 = l*d - a*d. Round d to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r + 4*r - 4*r + 22. Let t be u(10). Find the third derivative of 6*h**6 + 21*h**2 - h**6 + 20*h**t - 18*h**6 wrt h.\nAnswer: -1560*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**4\/3 + 730*x**3 - 22054*x**2\/3 + 16934*x - 30940\/3 = 0. What is x?\nAnswer: -1105, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a + 11. Let d be o(6). Let p = 5 + -10. Sort p, d, 4 in descending order.\nAnswer: 4, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9*(-1 + 12) - -3. Let i = r - -114. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8040)\/2345*140\/12?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3737*q**3 - 20*q**2 - 166*q. Is j(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -3.1. Let n = g + -0.4. Let u = 4769\/8 + -596. Sort -0.2, u, n.\nAnswer: n, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, p: 1, e: 2, s: 4, u: 1, t: 1}. Give prob of sequence up.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 11587*x - 498174. What is r(43)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 613978, 1228059, 1842124, 2456167, 3070182?\nAnswer: 3684163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 14833?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/24954259 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*q**2 + 41 + 62*q**2 - 19 + 73*q**2 - 22 - 196*q**2.\nAnswer: 13*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 + 192 = 4*q. Calculate the remainder when q is divided by 44.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, c: 1, i: 2}. Give prob of picking 2 i.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -713754*i + 712888*i = -28578 for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y + 2588 + 2595 - 5183.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -9, -38, -1.37, 21?\nAnswer: -1.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 + 2. Calculate the remainder when 206 is divided by z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -196575.98 * 1.\nAnswer: -196575.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11650 - 9202. What is the lowest common multiple of 1530 and v?\nAnswer: 12240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -9*c**3 - 7*c**2 + 5*c - 931. Let v(t) = 11*t**3 + 9*t**2 - 6*t + 930. Give -6*o(b) - 5*v(b).\nAnswer: -b**3 - 3*b**2 + 936","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67*g**2 - 5*g**4 + 4*g**3 + 67*g**2 + (1 + 0 + 0)*(g - 2*g**4 - g) to the form o*g**3 + p*g**4 + q*g + d + y*g**2 and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 124453?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**3 - w**4 + w**3 - w**4 + w**4 - w**4 + w**4 + 3*w**4 - 6*w**4 + (4 - 4 + w)*(-w**3 - 2*w**3 + 2*w**3) + 3*w**4 + 22*w**4 - 48*w**4.\nAnswer: -28*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -6*j + 10. Let p be a(-7). Which is bigger: 53 or p?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 984253304.\nAnswer: 2, 131, 263, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + z**2 - 2*z + 1. Let x be v(1). Let l(m) be the first derivative of -4*m**2 + m - 1. What are the prime factors of l(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 7 = 3*p - 8, -3*q = 3*p - 9. Suppose -2*b + 2*w = -17 + 9, -b + 1 = 2*w. Suppose 2*u - u - 207 = -b*m, u + 3 = p. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 29513, 58964, 88385, 117776, 147137?\n\"Answer: -15*t**2 + 29496*t + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.127 + 24.627. Let y = -25.5 + u. Let t be 0 - -1 - 8\/5. Put -3\/2, y, t in decreasing order.\nAnswer: t, y, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2544*j**2 - 1363*j - 117. Let x(o) = -719950*o**2 + 385730*o + 33150. Let q(v) = 1700*s(v) + 6*x(v). What is the second derivative of q(f) wrt f?\nAnswer: 10200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/4)\/((-70)\/56).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 6*k**2 + 6*k + 9. Let f be (-2)\/(-2*3\/6). Let p = 5 + f. What are the prime factors of t(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7993\/77 + -507\/11. Let x = s + -58. Which is the nearest to 3? (a) -1\/4 (b) x (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2585 + -2582. Which is the nearest to -4\/3? (a) 2 (b) y (c) -0.3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5432666 to the power of 1\/2, to the nearest integer?\nAnswer: 2331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**3 - 43*v**2 - 495*v - 1125 = 0.\nAnswer: -25, -15, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123, 114, 99, 78, 51?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4070 and 20054.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19426\/57 or 342?\nAnswer: 342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + k - 10 = 0. Suppose -4*p + 5*j + 15 = -5, -k*j = -3*p + 8. Suppose 4 + p = x. Calculate the lowest common multiple of x and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of 2*l**3\/3 - 14001*l. Let w(x) be the first derivative of -3 + 5 - x**2 - 2*x**2. Determine w(o(j)).\nAnswer: -24*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 133.81 + -133. Round w to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 4) to base 5\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*h - z, -h - 9 = 2*h + 3*z. Suppose -2*d - a + 4*a = -7, -a = -h. Let l(w) = 2*w**2 - 6*w - 4. Is l(d) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -501 + 3518\/7. Let h = v - 41\/35. Which is the second smallest value? (a) -2\/7 (b) 1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6618252, -6618254, -6618258, -6618264, -6618272?\nAnswer: -6618282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*m + 27*m = 0. Let x(r) be the third derivative of 0*r - 1\/60*r**5 + 0*r**4 - 2*r**2 + m*r**3 + 0. Let z(w) = -4*w**2. What is z(x(l))?\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22320129 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -119, -215, -383, -629, -959, -1379, -1895, -2513?\n\"Answer: -v**3 - 30*v**2 + v - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**3\/3 - 5*c**2\/2 + 3*c. Is u(5) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45\/2 + 221\/10. Let p(d) = -2*d**2 - d + 2. Let k be p(0). What is the nearest to 1 in k, -0.5, m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) 0 (c) 98 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i**2 + 18*i - 6. Let a(n) = 3*n - 1. Let o(f) = -6*a(f) + r(f). Let h(l) = 27*l. Give h(o(y)).\nAnswer: -81*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 7*b**3 + 17*b**2 - 105*b - 2. Let v be m(3). Solve 3*o - v = -3*i - 13, i + 2*o - 7 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21231044 is divided by 61?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f + 0*f**2 - 1\/6*f**3 - 33 + 3\/4*f**4. Let y = 3 - 4. Give t(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4, 16, 36, 64, 100, 144?\n\"Answer: 4*m**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 - 990*i - 992.\nAnswer: 2*(i - 496)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 371532.\nAnswer: 2, 3, 7, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 12*t + 1520. Let x = -114 - t. Is 23 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49*m**2*v**2 + 2*m**2 - m*v + 5*v**3 - 12*v**2 + 407*v wrt v?\nAnswer: -98*m**2 + 30*v - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -137e3 (base 16) to base 9.\nAnswer: -131464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*v - 92613 - 389267. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b - 68 - 7 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 33.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 3:56 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(53\/26 + -2). Let n = 10345 - 10344.9. Which is the nearest to -0.1? (a) -3 (b) n (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 920*c**3 + 0*c + 4*c - 922*c**3)*(3*c**2 + 9*c**2 - 3*c**2).\nAnswer: -18*c**5 - 9*c**4 + 36*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y**2 + 2*y - 3. Let o be (4 + -5)\/((-3)\/15). Suppose 2*i - o + 3 = 0. Let t(b) = b**2 - 1. Give i*c(g) - 3*t(g).\nAnswer: g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 3\/5 (b) 0.2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -w - 2*w + 6, 0 = i + w. Suppose 20 = -h - i*h, 5*h + 16 = -a. Calculate the remainder when 24 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0349 - -299762.\nAnswer: 299761.9651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 64184248 and -16.\nAnswer: 64184232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276*l + 32 = -278*l - p, -114 = 5*l + p + 10*p for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -102.2 + 1.2. Let w = -0.388 - 99.612. Let l = g - w. Put l, 0.4, 10\/11 in increasing order.\nAnswer: l, 0.4, 10\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-6) + (-4)\/6. Let i be 10\/5 + (-1 - o). Suppose 3*u - 83 = -i*w, -43 = -4*u + 2*w + 63. Is u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 + 0*f**2 + 4*f**2)*(2*f + 0*f + 0*f) - f + f + 2*f**3 + 2*f - 2*f + 2*f**3 + 4*f**3 - 26*f**2 - 134*f**2 - 81*f**2.\nAnswer: 12*f**3 - 241*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*h + h - 4*h**2 - h**2 - 2 - 7*h**2 to a*h + d*h**2 + g and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20862)\/(-133)*(-28)\/(-12). Calculate the greatest common divisor of 21 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39150 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -6*j - 3. Let m be v(-6). Let n(h) = -h**2 + 7*h - 3. Let a be n(6). Suppose 60 = a*u - m. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 - 2*n + 2*n)*(-3*n + n + 4*n)*(-46 + 99 + 272 - n).\nAnswer: 2*n**4 - 650*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12348 and 252.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(130)*-1*-6*6)\/((1*sqrt(80)*-2)\/(sqrt(96)\/(sqrt(12)*1 + sqrt(12) - sqrt(12)))).\nAnswer: -36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2448 is divided by 409.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/3 + (-14)\/(-78) + (-65868)\/(-6487). Solve 3*n - 15 = 0, 8*n - t = -h + 7*n for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -p**4\/9 - 2*p**3\/3 - 7*p. Factor o(v).\nAnswer: -4*v*(v + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) -29 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g - 84*g = 38*g - 2740. Solve -g*f = -8*f + 24 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 1)*(3 - -18). Let h = -10 + i. Calculate the remainder when 43 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-248)\/14 + (-22)\/77. Let s = 17 + t. Which is the nearest to s? (a) -0.5 (b) 5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2781 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61 - 23. Calculate the remainder when 111 is divided by l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40 by 26.\nAnswer: -20\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 163.5.\nAnswer: -327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-1\/4)\/r)\/(r*r\/r**(2\/15)*r))\/(((((((r**0*r)\/r)\/r)\/r)\/r)\/r*r)\/r*r)**(-1\/2))\/((r**(-1)*r*r**0*r)\/((r**(-1)*r)\/r*r**(-1))) assuming r is positive.\nAnswer: r**(-517\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2.752533 grams?\nAnswer: 0.002752533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12103*c**2*x - c*x + 6*c + 13*x - 5 wrt c?\nAnswer: 24206*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(-5)*510\/204*-10*1.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 624198, -2, 16.\nAnswer: -2, 16, 624198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.2 * -0.4.\nAnswer: -0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3344 is divided by 358?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1651358, 1651379, 1651412, 1651457, 1651514, 1651583, 1651664?\n\"Answer: 6*z**2 + 3*z + 1651349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 74 + -76. Let v be 25\/(-15) + 0\/1 - u. Which is the third biggest value? (a) 7 (b) v (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 minus 902370216843.16?\nAnswer: -902370216843.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/11, 0.18, 1, 3, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 5 + (-15 - (-7 + 4 + -17)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14586 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1523 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 7. Suppose 0 = 2*d - 3*n - 253, 5*n - 2 - 3 = 0. Suppose h*w + 2*w = d. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z - 18 - 42 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2462 - 2447. Solve -33 = 6*o - y for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.855 + 0.165. Let n = 0.01 - s. Let y = n + -1. What is the smallest value in 4, 1\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -r + 573. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + (60\/(-3))\/5. Suppose -2*h + 14 = 5*g - j*h, -12 = -3*g - 3*h. Suppose -1 = -n, 47 = 2*l + g*n - 51. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -22 + 2. Let z(r) = 5*r**2 + 12 - 14 + r**3 - 3*r**2 + 0*r**2. Calculate the remainder when z(2) is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*u = 383*u + 2016 for u.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = 225 - 81. Find the first derivative of 2 - 13*v - 3 - n wrt v.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + j**2 - 4. Let g be n(-2). Let p(o) = -o**3 + 9*o**2 - 6*o - 12. Let m be p(g). Which is bigger: m or -0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/45 - (-8 - (-1169)\/105). Let a(u) = 27*u**2 - 5*u + 9. Is a(t) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1251 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/(-25) - 48\/(-10). Find x such that -18*x**4 + 18*x**4 + u*x**3 - 2*x - 2*x**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9276140 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 3*b = -96. Let s be 2\/((b\/15)\/(-4)). Suppose s*r - 23 = 22. What is the remainder when r is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*u**3 - 87*u**3 + 2*u + 7 - 63*u**3.\nAnswer: -107*u**3 + 2*u + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r + 25 = 2*v, 61*v + 61 = 55*v - 7*v + 3*r for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.50382 - -0.10382. What is the second biggest value in 1, -2, k, -13.96, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - p - 11, -14855 + 14802 = -2*k + 7*p. Factor -1\/4*w**3 + 7*w**k + 13\/2 - 53\/4*w.\nAnswer: -(w - 26)*(w - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/5 + 544*b\/5 - 36992\/5.\nAnswer: -2*(b - 136)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 257022*o - 771059. Calculate j(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40 * 2.7.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -36*b**4\/7 + 4696*b**3\/7 - 121484*b**2\/7 + 116824*b\/7 = 0.\nAnswer: 0, 1, 34, 859\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-90)\/420)\/((-297)\/105 + 3).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 9) to base 8\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 55, 122, 215, 334, 479, 650?\nAnswer: 847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, s: 5, n: 8}. Give prob of picking 2 n.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g = 26 - 116. Solve 9*t + g*z = 4*t + 50, -3*z = -15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3654 and 3248.\nAnswer: 29232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*m**4 - 1429155*m**3 + 4*m**2 - 26*m - 50374 wrt m.\nAnswer: 192*m - 8574930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3103 (base 4) to base 8\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - (0 + sqrt(99)) - sqrt(99)) + -4.\nAnswer: -3*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1231451 + 2151?\nAnswer: -1225300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11820 = -2*d + 2*p, -6*d = 31*p - 34*p - 35460. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t - 20. Let v be z(13). Let j(p) = 2*p**2 - 10. Let k be j(v). Calculate the greatest common divisor of k and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274008747*f**3 + 3836294484*f**2 - 2408391*f + 378 = 0. What is f?\nAnswer: 3\/9557, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -480 - -480. Solve -2*h = -5*i - 7*h, 2*i + 4*h = p for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2692.2721 - 5575.\nAnswer: -8267.2721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 12 = -7*b. Suppose 2*u = -b*u + 160000. What is u rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16128 + -9227. Put y, 4, -4 in decreasing order.\nAnswer: y, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.003 and -15.\nAnswer: 0.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19\/193 + 8224\/11001. Let o = j + -6\/19. What is the biggest value in -2\/5, o, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2787420.9511 - -2786993. Let z = y + 428. Round z to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1877 + -0.9877. Put -3, -0.3, z, 7 in descending order.\nAnswer: 7, -0.3, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -130030?\nAnswer: 130021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/11, 3\/5, -111\/2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3. Let u(z) be the third derivative of -z**6\/40 + z**5\/60 - z**3\/3 + 9*z**2. Let y be (-15)\/(-165) - 1\/(33\/(-129)). What is y*m(s) - u(s)?\nAnswer: -s**3 - s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -0.1813, 1\/3 in ascending order.\nAnswer: -0.1813, 1\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 5. Suppose -3*d + 4*b - 5*b + 23 = 0, -u*d = 5*b - 38. Let y(x) = -x + 8. Let w be y(d). Which is bigger: w or 5\/6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (355620\/9 + 1)\/((-46)\/(-138)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -946576224 divided by 1181.\nAnswer: -801504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14124\/(-2140) + (-4)\/10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 173 = 17. What are the prime factors of (-24)\/(-10)*990\/g?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k**2 - 4*k - 4. Let g(y) = -4*y**2 - 5*y - 5. Let z(u) = 4*g(u) - 5*x(u). Let m be (-2*(-2)\/4)\/1. Let p(v) = 2*v**2 - 1 + m. Give z(p(d)).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/(-51)*8*9*(-3)\/(-3)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1249869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29\/58*(18 - (-2397)\/(-136))*20\/6.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -21401?\nAnswer: -21343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3*j + 0*j + 60 = 0, -3*f + 52 = -5*j. Calculate the remainder when 310 is divided by f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -147*p - 9. What is the units digit of a(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*x + 26026 = 26510 for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7946, 8103, 8260, 8417, 8574?\n\"Answer: 157*y + 7789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10084 by 6.\nAnswer: 5042\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1240017 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -848 - -847.997836. What is i rounded to 4 dps?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*z = 4*z - 2227 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -559*g - 295. What is the thousands digit of u(-34)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/26821239 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 12, 6, 18, 60, 144, 282?\nAnswer: 486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -d**5\/20 + 19*d**4\/12 + d**3\/6 - 13*d**2 + 29*d. Calculate l(19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 0.3, -515, 769.2 in ascending order.\nAnswer: -515, 0.3, 12, 769.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-5))\/1016*-3*1280\/(-960).\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 104101?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -13. Suppose 3*n + 2*l - t*l = 81, 0 = -3*n - 5*l + 57. What is the remainder when n is divided by 40\/3 + (-3)\/9?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**0)**10\/(k**(1\/3)*k**2))**(-18) assuming k is positive.\nAnswer: k**(-138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 97 and 94 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 26*z**2 + 45*z + 21. Let j be a(24). Sort -1, -2, j in descending order.\nAnswer: -1, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -525\/23 <= 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/64472 and -31\/140.\nAnswer: 2256520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.95 + 1.75. Let h = -0.5 + 2.5. What is the third smallest value in -4, h, l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**3 + i**3 - 2*i**3)*(918*i + 18*i**2 - 918*i).\nAnswer: 72*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 277142*x**3 - 311291*x**2 wrt x?\nAnswer: 1662852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -12*u**3 + 353*u**2 - 30*u - 339. Let w(s) = -s**3 - 5*s + 2. Let p(f) = -5*h(f) + 35*w(f). Determine t so that p(t) = 0.\nAnswer: -1, 1, 353\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*q + q = 19, -47 = -5*w + 3*q. Let k be 46\/w - (-6)\/15. Suppose -165 = -k*z + 2*z. Calculate the highest common factor of 11 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 494104427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1*2 + 1)*-2. Let d be 2*(2 + (-3 - -2)). What is the derivative of 4*f**d - 4*f**q - 2 - f**4 wrt f?\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 0*q = 2*q + 18, -q + 3 = -4*o. Let a = 0 - o. Let n = 4 - a. Solve 2*l = -n*l + 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 - 4 = -5*x. Let f be 10\/x + (-38)\/6. Let v(w) be the first derivative of -w**2 - 8*w + 564. Determine v(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/1125 and -11\/1210500.\nAnswer: 1210500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 s when three letters picked without replacement from {s: 9, v: 7}?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 69 - 17. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2 + sqrt(2736)))**2*6 - -2*(sqrt(2736) - (sqrt(2736) + 1*(-1 + sqrt(2736) + sqrt(2736)))).\nAnswer: -4656*sqrt(19) + 263042","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, y: 1, d: 1, m: 5}. What is prob of picking 1 p and 1 d?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 + -24. What is the remainder when 27 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -379.9 - -379. What is the closest to 1 in -0.2, o, 4, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u - 10. Let d(q) = 39*q**2 - 59*q**2 + 24*q**2. What is d(m(c))?\nAnswer: 4*c**2 - 80*c + 400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 3*v**5 - 5*v**4 - 2*v**3 + 6*v**2 - v - 1 = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s + 3*s + v + 12, 0 = 4*s + 3*v - 12. Let l be (12\/10 - 1)\/1. What is the nearest to s in l, -1\/3, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 7370*d**2 + 51579*d - 85. Give c(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128310 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5626*i + 5628*i = k - 17, -4*i - 8 - 44 = -8*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 2*r**2 + r + 2. What is the units digit of c(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32088\/601 + 27113329\/7212. Let z = 3709 - b. What is the common denominator of 41\/22 and z?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v + 2. Let n(g) be the third derivative of -g**4\/24 - g**3\/6 - 3*g**2 - 9. Determine -8*n(l) - 3*r(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 - f + f)*(-2 + 4 - 4)*(-4 + 6*f - 8*f + 6).\nAnswer: -4*f**3 + 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.19 and 2269.\nAnswer: 2268.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 0.1, 0.25, -5, -4 in descending order.\nAnswer: 11, 0.25, 0.1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3020 - 3016. Suppose -1 = -3*c + 5. Solve -n = -3*v + c for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 - 0.9. Let p = -1 - -0.4. Let f = m - p. Is 2\/3 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 68 + 4*f**2 - 83 + f + 183*f**3 - 184*f**3. Calculate s(5).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 773605 and 1785?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 11*v - 19. Let i be y(-8). Let z(b) = -15*b + 10 + 7*b - i + 10*b. Give z(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -38*b + 32. Does 17 divide a(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 8:55 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - x = 3*z + 29, 4*z - 20 = 4*x. Suppose 0*u - z*u = -30. Suppose 103952 = u*h - 191048. What is h rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14960 divided by 88\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 180 (base 15) to base 10.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**4 + 4*m**3 - 2*m**2 - 4*m = 0. What is m?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f + 9*f**2 - 8*f**2 + f + 4*f. Let h be a(-6). Let u be 1*(-2)\/(-2 - h). Solve -3*o - 2 - 3 = m, 3*o + u = -2*m for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 341\/((-1500741)\/(-19234))*(-81)\/(-6)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -17588 != -16194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -720.65675 rounded to the nearest 10?\nAnswer: -720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 4*i = -16. Suppose -2 = 3*h - 11. Solve h*g - 2 = i for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4668*j**3 - 2*j**2 - 17489*j - 2 wrt j?\nAnswer: 28008*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + x - 9. Determine q(5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 196 - 196. Is s smaller than -13\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 5*t + 100, 5 + 5 = -2*f. What are the prime factors of (-141)\/t + (-4)\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 46*r**2 + 41*r + 108. What is the tens digit of b(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11120121101111 + -10?\nAnswer: -11120121101121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*v = 599*v + 1998 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-33))\/(6\/(-429)*-26)*124\/6.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40710426 to the power of 1\/2, to the nearest integer?\nAnswer: 6380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -10899*y - 294626. What is i(-27)?\nAnswer: -353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*d - 947 = 3*a, 0 = -d - 2*a - 188. Let f = 282 + d. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-3))\/(m**(-11\/2)*m))**(-8\/5) assuming m is positive.\nAnswer: m**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -31, -35, -41, -49, -59?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 480 = -4*o, 5*o + j = -0*j + 611. Let t = o - 80. Let c = 137 - t. List the prime factors of c.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 6 = -0*k. Let g(m) = 9*m + 8. Let x be g(k). Suppose -f + 31 + x = 0. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13496 - -5672. Let l = p - -13493. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 461922 by -3.\nAnswer: -153974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (2 - 4 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -14*u**2 - 255*u - 59. Determine n(-18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 62+-13\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -25, -43, -65, -91, -121, -155?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11061 and 470707.\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 117 = 4*p, 5*i + 0*i + 5*p - 160 = 0. Suppose 0 = -5*r + 13 + 2. Suppose -r*s + 2*s = -12. Calculate the remainder when i is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*b - 25 = -3*m + 46*b, 5*m - 2*b = 48. Calculate the remainder when 87 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*q = 2*v - 35, 0 = q + 3*v - 7. Suppose -q = -t - 10. Put -4, -5, t in increasing order.\nAnswer: -5, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*k**3 + k - 2449866 + 2449829 - k + (2*k**2 - k + k)*(k - 2 + 2).\nAnswer: -15*k**3 - 37","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6207229 * 0.3.\nAnswer: -1862168.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of w**3 + 16*w**2 + 6*w - 156150 wrt w.\nAnswer: 3*w**2 + 32*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 + (-28 - -26) - -136?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.74 * -5\nAnswer: 3.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 10:03 AM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 402394 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 9*f**5\/2 + 43*f**4\/2 + 4*f**3 - 92*f**2 - 88*f + 24 = 0.\nAnswer: -3, -2, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 8, y: 3}. What is prob of picking 3 y and 1 d?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -102235*c - 613398. Determine f(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 3*h + 4. Let k = 815\/14 - 117\/2. Which is the smallest value? (a) -0.5 (b) h (c) -4 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 12. Let u be 1\/(-3 - 20\/d). Is 3 != u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 27. Sort d, 4, 1 in decreasing order.\nAnswer: 4, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - 3 - (-8 - (12 - 12))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -25 - 0, -15 = 5*h - p. Let s(q) = 1 + 4*q**2 + 0*q + q**3 + 0*q**2 - 4*q - q**2. Calculate the smallest common multiple of 11 and s(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and (8\/(-20))\/(6\/(-180)*2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -9*a + 32. Let f(i) = 8*i - 32. Let d(y) = -6*f(y) - 5*u(y). Let x be d(-3). Solve 0 = 4*c - 5*l + x, -5*c - 4*l = -4*c - 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 + 42.038. Let g = 288.36242 - 288.4. Let d = m + g. Round d to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 42800165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 + 11 + 32 - (1 - -14)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -106 - 276. Let y = n - -1147\/3. Are y and -15 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7082.111 minus 2?\nAnswer: -7084.111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 2, 3, -33, -5 in decreasing order.\nAnswer: 8, 3, 2, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ashssssxffxsxh. What is prob of sequence shx?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 52. Let l = c - 24. What are the prime factors of l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 0.8 (c) 0.02 (d) 5 (e) 69 (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 89*d = -93*d + 64, 5*b + 4*d - 34 = 0. Solve -11*l = 3*j - b*l + 15, 0 = -l for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -12*a - 3. Let z(y) = 12*y + 2. Let k(x) = -2*w(x) - 3*z(x). Let l(b) = b**2. Give k(l(q)).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 201195 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30301 = p + 6320. Let b = 43594 - p. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/51350 and 87\/51350.\nAnswer: 51350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*f - 60 - 47 = -72. Is f >= -5\/1831?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -13486*z - 2. Let s(f) = -2*f**2. Calculate m(s(x)).\nAnswer: 26972*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60 + 56. Let r(i) = -2*i - 5. Let j be r(m). Solve -3*p - 7 = 2*v, -4*p = -2*p - j*v - 17 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -420*n + 262*n + 160*n - 13.\nAnswer: 2*n - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62*s**4 + 9*s**2 - 4*s**3 - 2 + 4*s**3 - 63*s**4 to z*s**2 + p*s**3 + n + i*s**4 + l*s and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 4*m - 1603, -2*m = 3*m + 4*p - 2015. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -517 - -660. Calculate the highest common divisor of z and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20213 = 19*r - 2*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 != 84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 4 + 28. Let i be 2 + (-14)\/r*-1. Let b = 1.3 - 0.3. Sort 0.3, i, b in decreasing order.\nAnswer: b, 0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 12. Let j be (-3 - -5)\/(f\/(-4)). Let m = 4 - j. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7253.\nAnswer: 7253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1220, 2, 2\/5, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-5) - (-1)\/5. Let u be (-2)\/4*3\/6. Which is the closest to u? (a) n (b) -2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.134 + -61.866. Let g = -61.95 - q. Which is greater: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 8) to base 5\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-120)\/36*(0\/1 + 24). Let y = 39 - 47. Let z be (-2)\/y*64\/p. What is the third biggest value in -2, -5, z, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.9 take away -0.16?\nAnswer: -5.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13178 is divided by 13116.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9\/7 - -11\/7. Let q = 44 + -41. Which is the closest to 0.1? (a) h (b) q (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0782 - -50.2782. Round u to 0 dps.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*j = 75*j + 200 - 1068. Let z(u) = u + 4. Give z(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h - 70. Let n be r(18). Let c(j) = 642*j + 38. What is the thousands digit of c(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 1\/30*v**6 - 2*v + 0*v**3 - 1\/3*v**4 - 3\/20*v**5 + 0*v**2 + 10. Suppose b(d) = 0. Calculate d.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 7 = 5*j - 5*x, 5*x + 73 = 3*j. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2210 + 4095. Is w < 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j - 38. Let i be c(9). Let r(d) = d**2 + 19*d - 20. Let k be r(i). Suppose -6\/5*u + k*u**3 + 3\/5*u**4 + 0 - 9\/5*u**2 = 0. Calculate u.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128\/20*155\/(1085\/(-35)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000202210 (base 3) to base 9.\nAnswer: 30683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1066 is divided by 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -2. Suppose -s*c - 14 = -5*j, 5*c - j = -3 + 14. Let u(k) = -k**3 + 5*k**2 + 2*k - 4. Let l be u(5). Solve v - l*v - g = 9, 2 = -c*v - 4*g for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0.3, -372?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*l**3 + 951*l**2 - 1704*l - 564 = 0. Calculate l.\nAnswer: -47, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152667 is divided by 480.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2375 a factor of 686871375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, 8\/9, 2\/7?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*z - 10*z + 4*z**2)*(35*z**3 + 24353*z**2 + 2 - 24353*z**2).\nAnswer: 140*z**5 + 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 = 1477*c - 1490*c for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 k when two letters picked without replacement from mojmkfkjjj.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 32 (b) 5 (c) 1 (d) 8 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d**2 + 0*d**2 - 3*d**2 + (1 + 3*d - 1)*(0 + 0 + 2*d) - 2*d + 2*d**2 + 2*d.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 82 + (-12)\/(-8)*2. Let b(t) = -s*t - 81*t + 10 + 165*t. Determine b(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h + 1. Suppose 8 = -5*y - 4*z - 5, 3*y - 7 = 5*z. Let q(b) = 2. Let w(u) = y*q(u) + 2*j(u). Let m(v) = -8*v. Calculate w(m(t)).\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/13)\/((i*i*i**5*i*i)\/i) assuming i is positive.\nAnswer: i**(-106\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in -0.2, -3, 0.1, 5391\/64?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 511265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360*d - 423*d + 2898 = 0 for d.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 94 + -161. Let r = b - -80. Calculate the remainder when 37 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-4))\/(1\/48*((-5661)\/(-34))\/111)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q. Let o(t) be the second derivative of -t**4\/24 + 151*t**3\/6 + 51*t**2\/2 - 157*t. Let a(v) be the first derivative of o(v). Give b(a(m)).\nAnswer: m - 151","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-3)*((-3346)\/665 - -5)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 - -35. Solve 0*x - z*g - 1 = -x, 0 = 2*g + 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/3 - 45*s**2.\nAnswer: -s**2*(s + 135)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -5*z - 14, 4*z - 11 = l - 29. Let u(f) = -f**2 - 4*f + 3. Let k be u(z). Let t be k\/3 + -3 + 482. Round t to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 6*v**2 + v - 6. Let w be a(6). Let j be w + (-5 - (-5 + 2)). Let t be (-66)\/(-2) - (-2 - j). What is the greatest common factor of t and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 178*k + 3347. Let m be c(-28). Are -1636 and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*u**2 + 2 - 2*u**2 + 0*u**2 + u**2 + (2*u - 3 + 3)*(u - 4*u + u) + 3*u**2 + 0*u**2 - u**2.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 10*u - 22. Let t be v(-6). Solve -2*z - p - 2*p = -2, -t*p + 23 = -3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*b**2 + 2*b**2 - 8*b**2 + 28*b**2 - 519 wrt b?\nAnswer: 26*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 7. Suppose -89 = -n*c + 88. Let t = c + -30. List the prime factors of t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(400)\/sqrt(5)*-2.\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeksqeqqjhkh. What is prob of picking 2 s and 1 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + -2 + 3)*2*-2 - ((-2 + sqrt(99) + 0 + -1)**2 + -3).\nAnswer: -109 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 6*q**2 - 8*q - 6. Let k be j(-6). Does 12 divide (k\/(-28))\/(1\/(-16))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = n + 15, 4*f + 11 = 2*n - 7. What is the remainder when 15 is divided by (-36)\/2*n\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*((-346)\/(-1557))\/((-2954)\/7)?\nAnswer: 1\/211","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0702235 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*v - 46 = -2*s, -3*s + 4*v = -41. Suppose m - 4*r - r - 15 = 0, -19 = -5*m - 3*r. Solve -u = -m*l + s, 3*u + 2 = 5*l - 9 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15013116 divided by -17746\nAnswer: 846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.27482589 rounded to 2 dps?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 12.6*104789\nAnswer: 1320341.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**4 - 5*m**4 - 3*m**3 - 3 + 2 - 107*m**2 + 17*m**4 - 6*m**4 wrt m.\nAnswer: 192*m - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-46611)\/(-18) + 20 + 1\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 j when two letters picked without replacement from {d: 2, p: 1, m: 2, a: 1, v: 1, j: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = -105914 - 6451. List the prime factors of v.\nAnswer: 5, 11, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 355 or 2\/3?\nAnswer: 355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14272678*d**3*q**3 + 2*d**3*q - 34*d**3 - 2*d**2*q**2 - 2457*d + 2*q**2 wrt q?\nAnswer: -85636068*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -5*q**2\/2 - q + 2. Let r be l(-1). Suppose -r*m + 3*m = -19. Is 13 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14339 - 14334. Let k(h) = -h**3 - 5*h**2 + 7*h - 4. Let s be k(-6). Let r be (2\/4)\/((-1)\/s). Solve -d - q*z + 21 = 0, r*d - 2*z + 9 = -21 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + 3)*8\/10. Let x(q) = -q + 7. Let g be x(c). Solve g*p = 7*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xdfqftt. Give prob of picking 2 t, 1 x, and 1 f.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/576 and 6\/13.\nAnswer: 7488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47 + 42. Let s be (-12)\/z*(-10)\/(-4). Suppose 5*y + 22 = 3*l, -5*l + 4*y + 4 = -6*l. Solve -2*b + 4*d - 1 = b, 3*d = l*b + s for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.4 - 3.4. What is the biggest value in s, -1\/2, -3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 175 and 7445375?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from otoccoc. What is prob of picking 3 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-3)*3\/(-2). Suppose -3 = l, -c*q + 2*l = -5*q + 48. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*((j*j**(-28)*j)\/j)\/j))\/j**(-11))**8)**(-49) assuming j is positive.\nAnswer: j**(-15288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 8*j + 7. Let r be (-2 - -2)*(-2)\/4. Let y = -3 + r. Let w be 3 + (-6 - y) + 5. Let z(x) = -7*x - 6. Give w*b(q) + 6*z(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -412*c**3*k**2*t + 1046*c**3*t**3 - 206*c**2*k**2*t - c**2*t**3 - 1967*c**2*t**2 wrt c.\nAnswer: -2472*k**2*t + 6276*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 7 = 3*m - 8, 3*l - 2*m = 24. Suppose 0*q = l*q. Solve -2*w - 5*r = -q*r + 17, -12 = 2*w + 4*r for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 4*m + 14. Let f = 10 - 10. Suppose 2*l - 22 = 2*z, f = -5*l + 2*z - z + 51. Calculate the highest common factor of m and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f**2 + f + 6. Let y be x(2). Suppose -2*h - y = -3*a, 4*a + 5*h - 2*h = 49. Let q(o) = o**2 - 10*o - 4. Give q(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -k - 8*k. Let t = -1.9865 - 0.0135. Which is the nearest to 1.7? (a) -1 (b) t (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a micrometer in nanometers?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qfjqfqfqqqttqqqhqqq. What is prob of picking 1 f, 1 h, and 1 q?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - -4 - 43\/15)*-3. What is the closest to h in 3, -1, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1951670, 1951668, 1951666, 1951664, 1951662?\nAnswer: 1951660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l. Let q(w) be the third derivative of 0 + 1\/6*w**4 + 5*w**2 + 0*w + 0*w**3. What is q(x(z))?\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.2 (b) -22 (c) -5\/8 (d) -79.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 370903904 to the nearest integer?\nAnswer: 19259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.106 - 1.706. Which is the closest to 2\/9? (a) 4\/9 (b) 5 (c) -0.5 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.368 - 0.3680148. What is l rounded to 6 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1399762 and 3094.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -16*t**2 + 12*t. Let q(k) = 33*k**2 - 22*k. Let f(s) = 3*q(s) + 5*u(s). Let m(v) = 2*v. Calculate m(f(y)).\nAnswer: 38*y**2 - 12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 6*n + 6. Let d be h(-6). Let m(b) = -7*b + 5. Let o = 642 - 647. Let c(u) = -6*u + 4. Determine d*c(s) + o*m(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p + 158. Let b(v) = -52. Calculate -10*b(a) - 3*o(a).\nAnswer: 12*a + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14240 and 550020.\nAnswer: 4400160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -i**4\/24 + i**2\/4 + 12*i. Let p(a) = 0. Calculate a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i*i\/i**(-9\/2))\/i)*((i*i*(i\/((i*i**(-4\/9))\/i))\/i)\/i*i)\/i)**6\/(((i*i**(3\/10)*i)\/i)\/i**(2\/7)*(i*i*i*i\/i**(-1))\/(i*i**(-8)*i)) assuming i is positive.\nAnswer: i**(-6373\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15161852?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.58 - 62.74. Let l = o - -47. What is l rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10014 is divided by 2000.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(99) - sqrt(99) - sqrt(99))\/sqrt(9)*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 233 - 235. Put 13, v, 4 in increasing order.\nAnswer: v, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -104, 5, -4 in increasing order.\nAnswer: -104, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 2. Let p be (s - -10) + -3 + 4. Suppose 3*o = 2*o + p. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -513 * 216371.\nAnswer: -110998323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -6*t - 1. Let r(g) = 6*g + 1. Suppose -38 = -5*l - 2*d, 2 = 2*l - 4*d + 6. Give l*r(m) + 5*n(m).\nAnswer: 6*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 2 - 1 - j + 0*j**2 + 37*j**3 + 0*j**2. Is 12 a factor of y(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -103156 - -56?\nAnswer: -103100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004724668097 rounded to seven decimal places?\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39991142 is divided by 145.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -781 * 7.\nAnswer: -5467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + 0.2. Let o(v) be the first derivative of v**3\/3 + v**2 - 7*v - 6. Let b be o(-3). Which is greater: b or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-9)\/((i\/(((i*i**(2\/13)\/i*i)\/i)\/i))\/i)*((i**(-33)\/i)\/i)\/(i\/(i*i**(-3\/20)\/i)) assuming i is positive.\nAnswer: i**(-11959\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*r + 37*r - 5*r**3 + 9*r - 18*r.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75) + -3 + 3 + -3.\nAnswer: -3 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 58.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27580*k + k**2 + 38*k**4 + 12 - 16*k**4 + 27578*k to t*k**2 + b + s*k + j*k**3 + m*k**4 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -172*x - 1. Let a(b) = -523*b - 3. Give -2*a(k) + 7*f(k).\nAnswer: -158*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5766 and -75?\nAnswer: 5691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2633\/2 + -1315. What is the closest to -2\/3 in 5, -0.75, o?\nAnswer: -0.75","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -77, -148, -217, -284, -349, -412?\n\"Answer: m**2 - 74*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-647*b + 647*b + 135*b**3)*(1 + 0 - 3)*(-3*b + 7*b - 2*b)*(5 - 3 + 0) to the form z*b**4 + t + v*b**3 + y*b + u*b**2 and give z.\nAnswer: -1080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 0*w**2 - 3*w**2 + 14*w**2. Let a(f) = f**2. Give k(a(t)).\nAnswer: 11*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 14.03842ng?\nAnswer: 0.00001403842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 5:46 AM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 - 40. Solve 0 = 5*q + 9 + h for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5*j + 4 = -11, 2*j + 6 = 2*k. Let h = 719.98 - 719.98. Which is the nearest to k? (a) h (b) 5 (c) -1\/5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eokko. What is prob of picking 2 o and 1 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/3 - (-61)\/(-183)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 242.53806 months to millennia.\nAnswer: 0.020211505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/4*-4 + 4 + 0. Suppose -3*s + 2*s = 4*j - 21, -l*s = 3*j - 37. Solve -s*h + 13 = 2*t, t + 4*h = -0*t + 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 873849 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1496, -3274, -5046, -6812, -8572, -10326?\n\"Answer: 3*p**2 - 1787*p + 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*u - 13348 = -88*u for u.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 - 41.46. Let d = b + -0.04. What is the second smallest value in -3\/5, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + -48. Let u = q - -19. Let p be (-5)\/u*6\/30. Which is smaller: 0.2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/9 (b) 1193\/9 (c) 0.2 (d) -2\/25 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -33*t**2. Let f = -265 - -325. Let w(d) = -21*d - f + 10*d + 60 + 13*d. Determine w(h(r)).\nAnswer: -66*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 2:13 AM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 2. Let a(d) = -d**2 + d + 2. Let k(c) = 2*a(c) - 3*h(c). Let s = -4377 - -4379. Let g(x) = -4*x**2 - 9*x + 9. Give s*g(t) + 9*k(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 8*p**3 + 6*p**2 + 5*p + 1. Let z(t) = 7*t**3 + 5*t**2 + 4*t + 1. Let v(w) = 2*o(w) - 3*z(w). Is v(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-295 - -284)*(-4)\/77\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 574, 582, 604, 646, 714, 814, 952, 1134?\n\"Answer: a**3 + a**2 - 2*a + 574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 + 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 + 39. Which is the closest to m? (a) -0.2 (b) 1\/8 (c) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -408.23 - -395.23. Which is the nearest to 0? (a) 2 (b) -0.5 (c) u (d) -4\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*x**3 - 13*x**3 + 13*x**3 + 2*x**3 + 4*x**2 - 4*x**2 + (-8*x + 0*x + 0*x)*(x - x**2 - x).\nAnswer: -18*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/2*4\/5. Suppose -4*v - u*q = 4 - 14, v = 4*q + 16. Let x = 18 - 6. Calculate the highest common factor of x and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 3*f**2 + f. Let a be p(-2). Let v be 2*(1 - a\/4). Let x be (-21)\/6 - 1\/2. Put v, x, -5 in decreasing order.\nAnswer: v, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s + 81 - 81.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 45743.7 hours?\nAnswer: 1905.9875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -5*x + 4*x + 0*x - 2*x. Let d(g) be the first derivative of 1\/3*g**3 + 0*g**2 + 0*g + 2. Calculate d(r(l)).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 419040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4735 = -16*b + 463. Let u = -267 - b. Suppose 2*i - 17 = -5. Solve u = p - 1 + i for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 329756098*s**4 - 341591174*s**2 wrt s?\nAnswer: 7914146352*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*((2 - 2 + 3)*(-8 + 8 - 3*p) + 4*p + 0*p - 3*p + (0 + 1 + 1)*(2*p + 0*p + 0*p) - 25*p + 25*p + 23*p - 3*p + p + 7*p).\nAnswer: 48*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 15 = 5*f, 0*f - 6 = 2*j - 2*f. Suppose 0 = -2*o + 4*z - 28, o + 16 = 4*z - 8. Which is the closest to j? (a) 2 (b) o (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*b - 19 = 79*b + 5*x, -7 = b + 5*x. Differentiate 3*d + 2*d - 85 - 10*d**b + 2*d - 5*d - 12 with respect to d.\nAnswer: -30*d**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -1ca4?\nAnswer: 1ca4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-315)\/126)\/((-6)\/(-4))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -183, -57, 71, 201, 333, 467, 603?\n\"Answer: d**2 + 123*d - 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-10)*30\/48.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 10*t + 53 = 3*q, 2*t - 4*q - 56 = 0. What are the prime factors of (135 + -11)*(-2 - t\/(-8))?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 2*sqrt(2) - (sqrt(242) + sqrt(242)*-1))**2*6 - (-3 + (-6*sqrt(6)\/sqrt(3) + sqrt(2))*-4)**2)*-5.\nAnswer: -960*sqrt(2) + 3535","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*m + 33*m + 22*m)*(2*m**3 - 3*m**3 - 2*m**3)*(-3*m + m + m).\nAnswer: 42*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -0.89?\nAnswer: 0.267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67826, -135647, -203468, -271289, -339110, -406931?\nAnswer: -474752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**3 + 5*m**2 + 5*m + 5. Let v be -7*(17 + -16)*6\/(-6). Let t(j) = 3*j**3 - 7*j**2 - 7*j - 7. What is v*o(w) + 5*t(w)?\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 4*d + 5*n, 361 = -4*d - n + 366 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18558270 divided by -6186090?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.7 + -34.3. Let r = 48 + u. Which is the nearest to -1\/8? (a) -1 (b) 1\/5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 7478*g + 737. List the prime factors of p(3).\nAnswer: 17, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 11*k**2 + 14*k - 1. Let b(g) = 10*g**2 + 16*g - 1. Calculate -4*b(c) + 5*y(c).\nAnswer: 15*c**2 + 6*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 304019\/424 - 6050\/53. Let k = p - 599. Find the common denominator of -57\/7 and k.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - 0.495004826716\nAnswer: -0.895004826716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268*l = 266*l + 4, 0 = 4*o + 5*l + 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 329\/2754?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -27*c**3 - c**2 - 3*c - 1. Suppose -20*y - 4 = -19*y. Let x(v) = -v**3 - 5*v**2 - 3*v + 2. Let o be x(y). What are the prime factors of f(o)?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l - 2. Suppose -5*p + 2038 - 1798 = 0. Calculate the smallest common multiple of t(5) and p.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 81\/54*6\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 64 = -3*h, 2*h + 3*s + 29 + 15 = 0. Let g(o) = -o**3 - 16*o**2 + 19. Let a be g(h). Solve 5*m = -f - a, -2 = 4*f - 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*k + 2*k + k)*(-3 - 2 + 6)*(0 + 2 - 4) + 15*k - 30*k - 24*k as m + b*k and give b.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39061, -38959, -38835, -38677, -38473, -38211, -37879, -37465?\nAnswer: -36957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 57503 - 3?\nAnswer: 57500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*u - 2 = 0. Let t = 0.74 - 0.7. Let h = t - -0.06. What is the nearest to u in -4, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 y when two letters picked without replacement from iyuycyylccycyclyy.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/12 - -1) + (-55)\/(-220).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 f when two letters picked without replacement from fna?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -113*o**4 - 5*o**3 + 1007*o. Let m(i) = -114*i**4 - 6*i**3 + 1006*i. Let q(w) = -5*m(w) + 6*r(w). What is the second derivative of q(b) wrt b?\nAnswer: -1296*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 6. Let f be b(0). Let u(k) = k**3 + 7*k**2 + 6*k - 1. Let h be u(f). Let n be (0 + 1\/(-1))*h. Put n, -3, 10 in ascending order.\nAnswer: -3, n, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*r - r**2 + 88*r + 41*r - 255*r.\nAnswer: -r**2 - 143*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**4 + 7*b**3 - 1420*b**2 + 672*b?\nAnswer: -12*b**2 + 42*b - 2840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i + 9. Let s be -4 + -4*21\/(-12). Let j be t(s). Solve 5*u = j*d + 20, -2*u + 2*d - 5*d = -8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1020 - 60*f**2 + 1020)*(5*f - 2*f - f) + 0*f**3 - 10*f**3 - 10*f**3.\nAnswer: -140*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - 0. Let d = -14 - w. List the prime factors of (1 - d)*1 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47 + 64. Let r = 32 - g. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*n, 5*h - 2*n = -7*n + 90. List the prime factors of h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*q**3*t - 137*q**2*t - 2*q*t + q - 14*t - 2 wrt q.\nAnswer: -30*q*t - 274*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 5. Let m(h) be the second derivative of -h**2\/2 - 98*h. Let n(w) = w**3 + 4*w**2 - 7*w - 7. Let z be n(-5). What is z*m(q) - r(q)?\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x**3 - 46*x**2 + 6*x + 5. Let u(w) = -w**3 + 9*w**2 - w - 1. Let f(z) = 2*c(z) + 11*u(z). Let q be f(7). Solve -q*s = -s + 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 155940568, 311881135, 467821702, 623762269?\nAnswer: 779702836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, y: 1, z: 3, w: 8, e: 5, o: 1}. What is prob of picking 1 z and 1 e?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5858 - 0.4142. What is the closest to t in -0.4, -3, 2\/11, 11\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -230, -229, -228, -227, -226, -225?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 9*g**2 - 24*g + 14. What is t(11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 o, and 1 p when four letters picked without replacement from {c: 1, p: 1, o: 1, b: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1001\/3 - 353. Let u = 272\/15 + -431\/15. Calculate the common denominator of j and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*n + 283 = -68. What is the remainder when 34 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114324*n + 118390*n - 45793*n.\nAnswer: 186921*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139113\/82*(-4)\/(-6)?\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 656\/7 - 94. Let h(u) = 71*u + 495. Let k be h(-7). Which is the second smallest value? (a) o (b) k (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(4\/(-14)*-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/5 (b) -13 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) -0.2 (c) 2\/11 (d) 6\/11 (e) -5 (f) -3 (g) 219\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 11945.7 to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + b - 5*b)*(3 + 2 - 4)*(3 + 3 - 4) + (-4 + 3 - 1)*(2 - b - 2).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/10 - 6\/10. Put 2, k, 0 in decreasing order.\nAnswer: 2, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 57\/2 of a decade?\nAnswer: 3420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 69511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 150354 (base 6) to base 10\nAnswer: 14398","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-10)\/(-14) - (-3 - (5 + -9)) and -37\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 0.0195267.\nAnswer: 0.00195267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t - 10171*t**3 + 10169*t**3 + 3*t.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*x**6 - 398*x**4 + 19588*x**3 + 2*x**2 + 335697*x + 10 wrt x.\nAnswer: 240*x**3 - 9552*x + 117528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, k: 2, q: 1, d: 1, c: 1}. What is prob of picking 1 q and 1 d?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -27*y + 34*y - 54*y - 43*y + 25*y**2 - 11. Let a(v) = -5*v**2 + 18*v + 2. Let z(m) = -11*a(m) - 2*i(m). Find the second derivative of z(t) wrt t.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 66\/15 + 280\/175. Let u(q) = 3*q**2. Let c be u(1). Solve -w = -t + c*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 139*t**2 + 49*t - 205. Is 12 a factor of p(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-13) + -87 + (-146052)\/(-1872)?\nAnswer: -35\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 156\/5101 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4272 and 91492.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 5*h + 12. Let x be c(3). Let o be x\/((-1)\/(-5 - 0)). Solve 5*w - o + 13 = -m, m + 2*w = 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**5\/3 + 2009*v**4\/3 + 2674*v**3 + 4006*v**2\/3 - 8023*v\/3 - 2005 = 0 for v.\nAnswer: -2005, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1985*d - 121632 = -2359*d for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31115*u**5 - 721735*u**4 + 2246015*u**3 + 1412755*u**2 - 2214900*u - 691020 = 0. Calculate u.\nAnswer: -23034\/889, -1, -2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 0.956.\nAnswer: 0.478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -4042153475.\nAnswer: -4042153477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -179*k + 1224. Calculate f(7).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from enlnlyaeee. Give prob of sequence nyly.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1218475932 to the power of 1\/2, to the nearest integer?\nAnswer: 34907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.8 + -0.8. Let r = 2.1 - k. Let x = 2.6 + r. Put 0.2, 5, x in decreasing order.\nAnswer: 5, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*p + 52*p - 24*p.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 - 839*q - 16302.\nAnswer: (q - 858)*(q + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170\/(-51)*6\/5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393 is divided by 384.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -291901 minus 0.3?\nAnswer: -291901.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 60909362 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of 5*u**8\/672 - 17*u**7\/420 + 7*u**6\/80 - 11*u**5\/120 + u**4\/24 - 10*u**2. Determine v, given that k(v) = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9361510 and 230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 8*b**2 - b + 12. Let g be s(8). Suppose 2*y - 37 = w + 18, w + 3 = 0. Let q = y + -24. Which is greater: q or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -11 (b) -46 (c) 0 (d) -5 (e) -3.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*q + 4 = 0, 4 = -4*y - y - 2*q. Suppose 3*h - 132 = 3*l, l + 2*l + 12 = y. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + 12d9?\nAnswer: 12e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*m**2 - 49 - 49 + 99 - m**3 as s*m**3 + l*m + t + z*m**2 and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -18, 4, 5, -6, 0, 12 in descending order.\nAnswer: 12, 5, 4, 0, -6, -15, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 1:37 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17259750691 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 737838 rounded to the nearest 10000?\nAnswer: 740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 6*a + a**2 + 14*a - 4 + 11. Let j be y(-19). Let w(m) = -4*m - 25. Let c be w(j). Solve -5*k + 4*g - 5*g = -26, -3*g + c = 4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 154239630 to the nearest integer?\nAnswer: 12419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - t**2 - t + 1. Let g be c(2). Let z(y) = -y + y + g*y + y. Let s(p) be the third derivative of -p**5\/20 + 3*p**2. Determine s(z(j)).\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 80*l + 376. Let m = -609 - -615. What is the tens digit of v(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 2*m - m)*(m + 0*m + 0*m) + (0 + m**2 + 0)*(-1 + 7 - 2).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*p - 4, 3*l - 2*l = p + 5. Sort -4, 4, l in increasing order.\nAnswer: -4, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/26304 and 53\/4156032?\nAnswer: 4156032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 20*t**2 + t + 688. What is i(25)?\nAnswer: 3838","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1729062*v**2 - 3419579.\nAnswer: 3458124*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 4*w. Let z be t(-3). Let r be (2\/3)\/((-20)\/6). Which is the nearest to -1\/3? (a) z (b) 0.1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*w = -52*w + 269835 + 495372. Calculate the highest common factor of w and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + -2 + sqrt(720))**2 + ((sqrt(5) - sqrt(320)*2) + sqrt(5))**2.\nAnswer: -96*sqrt(5) + 3864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/133 and -79\/76.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 777554 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 20*y**2 + 20*y - 13. Calculate v(19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, o: 2, z: 1, i: 1, f: 1, c: 1}. Give prob of picking 1 c and 1 z.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*j - 1256, -54*j - 5*i - 640 = -55*j. What is the greatest common divisor of j and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) - sqrt(567)*-2)\/(sqrt(1296) - (sqrt(1296) + sqrt(1296)*-2) - sqrt(9)).\nAnswer: 7*sqrt(7)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 3*w**3 + 3*w**2 - 3*w - 3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(21\/2)*5\/10\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-88)\/(-55) + 4\/10. What is the second derivative of 63*f**2 + 5*f**3 - 2*f**3 + 6*f - 63*f**n wrt f?\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 99, 0.5, -1?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 30 + 54. List the prime factors of 5*(-4)\/(-60)*o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 11*g**2 - 9*g - 8. Let t(d) = -21*d**2 + 17*d + 15. Let r(s) = -3*t(s) - 5*u(s). Let b(v) = -v**2 + v + 1. Calculate 6*b(k) + r(k).\nAnswer: 2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 - -30. Which is smaller: 2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-85 + 284 + 53)*(4*x - 6*x + x) + 3*x + 2*x - 3*x)*(-1 - 1 + 3).\nAnswer: -250*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 499*y + 26406878 - 70507999 = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277451861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - c + 10 = 3*s, 0 = -5*s + c + 6. Let f be (140\/168)\/(s\/(-12)). What is the closest to 1 in f, -0.4, -4\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 24576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 156\/7 - 150\/7. Which is the closest to 1\/2? (a) g (b) 0.1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by 219\nAnswer: -14\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - g - 1 = 0, -3*t - 4*g - 8 = 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-28 - 3)) + -18\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71*y**4 + 39*y**6 + 32*y**4 - 2*y - 10*y**2 + 38*y**4 wrt y.\nAnswer: 4680*y**3 - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*z + 1 = 2*c + 27*z, -6 = -4*c - 2*z for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000190528 rounded to 7 dps?\nAnswer: 0.0000191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + g + 3, 2*g + 18 - 4 = 3*w. Suppose x + 5*q + 9 = 2*x, -4*q = 3*x - w. What is the second derivative of 0*l - x*l + 2*l + 7*l + 7*l**5 wrt l?\nAnswer: 140*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 20520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9554?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5320 and 117868020?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4619469903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-3))\/(6\/(-99)). Let w be 212\/44 + 2\/d. Solve 0 = 3*t - 3*r - 27, 4*t + w*r = 2*t - 17 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 1 - (-5 + -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 4*k + 88. Calculate the greatest common divisor of 396 and k.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbyy when four letters picked without replacement from bwowooywwboobyw?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*f + 1482 + 981, 0 = 3*h + 2*f - 2463. Suppose 817*z - h*z = -976. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13, 2, -90, -18?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -31? (a) 6\/32171 (b) -0.1 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 67353353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(5\/2))\/w*w*w**(2\/5))\/w**37*w**(-49)*w**(-1\/3)\/w**(-1\/3) assuming w is positive.\nAnswer: w**(-871\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in nine tenths of a meter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -6.4. Let q = 0.3 - v. Let i be (2\/(-3))\/(20\/(-18)). What is the third biggest value in i, -4, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qaasaqamamaqsqaaaia. Give prob of picking 1 a, 1 q, and 1 i.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -120.9828 - -121. What is u rounded to three dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 15*y**3 - 4*y**2 + 4. Let p(n) = 165*n**3 - 45*n**2 + 45. Calculate -45*a(k) + 4*p(k).\nAnswer: -15*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 46.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*k - 2*k**2 + 25*k - 1.\nAnswer: -2*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 g when two letters picked without replacement from nwnjnnrnggnrfrgrrwgg?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -3*p - 0*w + 2*w, -4*p = 3*w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58259, 466115, 1573153, 3728963, 7283135, 12585259, 19984925?\nAnswer: 29831723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -265 + 476. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + -2312220?\nAnswer: -2312203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -5*l**2 + 2*l. Let c = -170 + 174. What is g(c)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 3*y - 14. Let q(u) = -u**3 + 7*u**2 + 1. Let s be q(y). List the prime factors of (5 + s)\/((-2)\/(-5)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yaacyyyyyybbyayybaay. What is prob of picking 2 a?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + a**2 + 3. Let q be (12\/(-15))\/(-1)*(17 + -12). Suppose 0 = 3*t + f - 5, -10 = -q*t - 25*f + 23*f. Give p(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34497077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1003157901136 less than 3?\nAnswer: 2.8996842098864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2) - (-2 - 12\/(-9))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 65541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**2 - 269. Let a(i) = 53820*i. Calculate a(h(y)).\nAnswer: 161460*y**2 - 14477580","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 1:57 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 35316788?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47.7 - -0.05.\nAnswer: -47.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ymyeeyyyyyeyme. What is prob of sequence me?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.8 - -1.4. Suppose -15 = 5*z + t, -3*z - 1 = 2*t + 1. What is the third smallest value in s, 0.01, z?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 654 by 22447.\nAnswer: 654\/22447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, -5, 1, 2, 2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -3084 not equal to -3127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -4\/7, -0.095 in decreasing order.\nAnswer: 0, -0.095, -4\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 381911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60247\/19 - -3171. Which is the nearest to 3? (a) 3 (b) -1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000013913 to 6 decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*l - 6. Let a = 2 - 5. Put l, 2\/5, a in increasing order.\nAnswer: a, 2\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in 3\/2, -0.3, -3, 22?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-11) + (-30010)\/(-110). Let b be 12\/(-2) - (0 + 0). Is b\/(-9) + r\/9 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3648638 to the power of 1\/3, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 7*u**3 + 5*u**2 - 4*u - 6. Let l(r) be the third derivative of r**6\/120 + r**5\/60 - r**3\/6 - 26*r**2. Let c(w) = g(w) - 5*l(w). Does 15 divide c(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11\/56 + -1\/14. Let b = -148 - -1922\/13. Sort b, -2, w in increasing order.\nAnswer: -2, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/8 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 212320 and 215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -h**4 - h**2\/2 + 2*h + 26. Let r(g) = g**3 + g. What is 3*r(p) + y(p)?\nAnswer: -p**3 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 7, -359, -2, 6, -83.\nAnswer: -359, -83, -2, 6, 7, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fourteeen ninths of a hour in seconds?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-4)\/(-470)))\/(-1)*(-38)\/475\nAnswer: -47\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 371 divide 50076467?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13181\/17485 + (6\/4)\/(39\/(-4)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -b + 9, -5 = -p - 2*b. Suppose -9*w = -p*w + 104. Calculate the remainder when w is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*r + 4 - 4 + (-1 + 1 - 1)*(-2*r - 4 + 4))*(-6*r + 2*r + 2*r)*(9 + 1 + 20)*(5*r - 3*r + 0*r) to the form b + i*r**3 + p*r**2 + m*r and give i.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/9)\/(1022\/27594*((-9)\/(-11))\/(-3)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -5. Let a(b) = -b - 1 + 0 - z. Let k be 96\/(-20) + (-1)\/5. Calculate a(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (-9 + 25 - 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 10, -4*v + 16*w = 17*w - 10. What is the biggest value in 3, -2\/9, -65, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16.68 - 18.3. Round m to one dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 278*b + 2778. What is d(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1078 = -14*k + 7*k. What is the highest common factor of 14 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-12)\/n*n*n**(7\/5))\/(n**(1\/6))**(-7\/8) assuming n is positive.\nAnswer: n**(-2509\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4850 a factor of 319369263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 87*i - 10. Let p = 37 + -34. Let q be c(p). Let t = -131 + q. What is the highest common divisor of 48 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/sqrt(150) + (sqrt(5) - (3 + sqrt(5)))*2.\nAnswer: -6 + sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20497, 40437, 60377?\nAnswer: 80317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - d**2 - d. Let n(h) = 4*h**3 + 2*h**2 - 38*h. Determine n(a) + 2*s(a).\nAnswer: 2*a**3 - 40*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**3 - 12704*t**2 - 20173952*t = 0. Calculate t.\nAnswer: -3176, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffzfzzff. What is prob of picking 2 z and 2 f?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -146, -214\/43, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000087215 to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) 6 (c) -19 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2 - 4*j - 5. Let t be o(-2). Solve -t = 5*h - 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39349567 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 17*k**2 + 13*k + 3. What is s(18)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 10439.3, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - (-4)\/((-1)\/1). Let r(i) = -2 + 15 + 3 - 9 - i. Let u(t) = 3*t - 15. Let l(p) = z*r(p) - 2*u(p). What is the first derivative of l(a) wrt a?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -4 + (-17 - -19) - (-1 - -13).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 798980 > 798541?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*m + 2*m - 3*m)*(m**2 - 21*m + 21*m) + 55*m**3 + 29*m**3 + 206*m**3)*(-1 - 1 + 0).\nAnswer: -584*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/4 and (-2)\/(-8) + (-835)\/20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27312 and 720.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 1:01 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/36)\/(3 - -3 - 648\/96). Let c = 33 - 3. Sort c, 3, i in decreasing order.\nAnswer: c, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**3*r*z**2 - 585*g**3*z + 4*g**3 + 2*g*r*z**2 - 777*g*r*z - r*z**2 wrt g?\nAnswer: -6*g*r*z**2 - 3510*g*z + 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 411, 422, 445, 486, 551?\nAnswer: 646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5019 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7 - ((-14)\/4)\/((-2)\/4). What is the nearest to -1\/9 in m, 0.3, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/3 + 110*y**2\/3 + 16*y\/3 - 1760\/3.\nAnswer: -(y - 110)*(y - 4)*(y + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -n**5\/6 + n**4\/3 + n**2 - 9. Let j(f) be the second derivative of t(f). Find the second derivative of j(o) wrt o.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15545046.\nAnswer: 2, 3, 11, 317, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1bc6 (base 14) to base 13\nAnswer: -2404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 59*g - 1398. What is y(24)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 5*q - 107. Suppose 2*h = 341 - 159. What is the highest common divisor of h and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1642 plus 47011?\nAnswer: 45369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z - 3. Let v be h(-4). Let i(a) = -25*a + 318. Let c(g) = 37*g - 445. Let o(j) = -5*c(j) - 7*i(j). Determine o(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -389*h - 12 = -385*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.7 (b) 2 (c) -0.09 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.36288 milligrams to tonnes.\nAnswer: 0.00000003336288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 2*v = -25*f + 5*f + 11*f - 54, 0 = v + 21 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 - ((-2 - -16) + 37).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-189))\/(2\/30)*(-45)\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.46 and 93.8747.\nAnswer: 324.806462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3361 + 5762. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -366*p**5 - 3*p**3 + 4*p + 799?\nAnswer: -7320*p**3 - 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 637623?\nAnswer: 3, 7, 29, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29544?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**5 + 228*p**4 - 5264*p**3 - 38208*p**2 - 53504*p = 0.\nAnswer: -4, -2, 0, 44, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 10:52 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from {u: 5, o: 14}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 352 and 1936.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) 1 (c) -8 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 14 - 2*a - a + 2*a + 2*a. Let n be v(-12). Find the third derivative of 5*s**4 - 17*s**4 - 22*s**n + 12*s**4 - 15*s**6 wrt s.\nAnswer: -1800*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/9, 0.4, -0.4, 3, -0.027?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -85 - -83.72. Let o = -1.38 - d. Which is greater: 0.014 or o?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(-91))\/((-65)\/435) - (-8)\/14\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1863371 from -212.\nAnswer: -1863583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from bhhbm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -l + 2*v + 14, v = -2*l - 17. Let n be (-22)\/l + (-10)\/15. Suppose -4*c = -n*d - 17, 2*c + 1 = 4*c + d. Solve 3*z + c = 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4149 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y**2. Let l(o) = 1241*o - 1241*o - 2*o**2. What is x(l(p))?\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25296 = -99*a - 12541 - 9287. Round a to the nearest 10.\nAnswer: -480","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 510?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 27, -0.3, 0.762?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 6*c + c)*(-23 - 96 + 17)*(-c**2 - 2*c**2 + c**2).\nAnswer: -204*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-3)*4\/24. Let p = -2163 + 2166. What is the smallest value in p, c, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x - x**2 + 0*x**2 - 1 - 2*x. Let a be b(-5). Let p = 68 + -64. What is the nearest to -1 in p, a, -0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13086 and 1629.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/3))**(-4\/31)*(x**0\/x)\/x**4 assuming x is positive.\nAnswer: x**(-457\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1855.16 - 1840. Let r = -28.9 - -16.6. Let m = w + r. What is m rounded to one dp?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/1)\/(3 + -2). Let m(s) = s**2. Let d be m(x). What is the remainder when 21 is divided by (10 - 0 - -2)\/d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, n: 2, e: 1, p: 4}. Give prob of sequence nrpp.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 16 = -4*r, 5*j - 4 = r + 4. Solve 6*y - 4*y = -r*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -12*d**2 - 728*d - 10979. What is n(-28)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 86 (b) -6\/5 (c) -4 (d) -2\/5 (e) 4 (f) -0.16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -1880*a**3 + 14*a**2 - 2*a - 12. Let y = -29 + 10. Let z be c(y). What is z rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7150210903 to the nearest 1000000.\nAnswer: 7150000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001 (base 8) to base 9.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 101772029098 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1526399569 to the nearest integer?\nAnswer: 1151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(2 + -1 - 5). Let p = 11\/12 - 2. Let i = p - -1\/3. What is the nearest to -2\/3 in i, 5, r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*(2 + -4) - 125604717\/(-486). Let h = c - 258439. Calculate the common denominator of -79\/21 and h.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 77, 74, 67, 56?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/3 + 42*i - 552.\nAnswer: (i - 12)*(i + 138)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, v: 3}. Give prob of sequence wvvw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1))**(23\/4))**(4\/15) assuming n is positive.\nAnswer: n**(-23\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 4\/293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44482 - 26941. Suppose x = 4*i + 5*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 17*g + 8, 30*g - 20 = 5*t + 31*g for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1376730 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1851 is divided by 53?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -4, 5, -3, 0, -1397 in decreasing order.\nAnswer: 5, 0, -3, -4, -19, -1397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - o)*(2 - 2*o - 2) + (280 - 280 - 19*o)*(-3*o + o + o) in the form x*o + y*o**2 + t and give y.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 3:33 AM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2430*h*o**3 - 5*h*o - 3916*h + 3*o**3 + 2*o**2 wrt o?\nAnswer: 14580*h*o + 18*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4735 divided by 1406\nAnswer: -4735\/1406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 309888 and 2688?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14255123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 127 + 91 = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m**2 + m + 2. Let i(n) = -4*n + 30. Let x be i(8). Let g(c) = -11*c**2 + 3*c + 5. Give x*g(j) + 5*p(j).\nAnswer: -3*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*r**2 - 36*r - 8 = 0. Calculate r.\nAnswer: -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 1:35 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = b - 30. Suppose -7*r = b - 199. Calculate the remainder when 78 is divided by r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 3*a**2 + 3*a - 2. Let r be h(-4). Let y(d) = -r + 3 + 7*d**2 + 5*d**2 - 5*d**2 + 2*d. Calculate y(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 9:49 AM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 15 + 1. Calculate the highest common divisor of b and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-4)\/10)\/((-1)\/1205)?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -13. Suppose 4*z = -l*a + z + 135, 0 = a - z - 35. Is 15 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -47 (b) 4 (c) -1\/2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 2*m**5\/5 + 61*m**4\/6 + 36*m**3 - 136*m**2\/3 + 5622. Determine s, given that o(s) = 0.\nAnswer: -17, -4, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yvqddddqdpldpdd. What is prob of sequence lqvy?\nAnswer: 1\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 39129 to the power of 1\/2, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -244*q**2 - 684*q + 191. Calculate t(-3).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25434511.\nAnswer: 103, 246937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h = 8*h + 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.07 (b) 3 (c) -0.1 (d) 2 (e) 0.15 (f) 6\/179\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -91*m**2 - 968*m + 3*m**3 + 968*m + 1 + m**3 - 2*m**3 - m**3 + m + 2*m**3 - m + (2 - 5 + 4)*(2*m - 2*m - m**3).\nAnswer: 2*m**3 - 91*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (156*(-9)\/(-972))\/((-6)\/(-27))?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/14)\/((-15420)\/(-10794)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 8:13 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 9 - 1 = 2*h, 2*i + 4*h = 0. What is the remainder when 6\/(-24) + 4 + (-219)\/(-12) is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - 0. Let n = 12.9 - 12. Let o = n + z. What is the third biggest value in 5, o, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8758681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4139141 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37306*k**3 + 4*k**2 - 486*k - 4?\nAnswer: -223836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4 = 1. Let x be f*2*(0 + -1). Suppose 0 = -j + 4*j - 4*c - 67, -j = x*c - 29. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 983?\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l - 131 + 86 = 0. Suppose 4*m = 285 + 103. Suppose 4*y = -l*a + 263, 5*y - 6*y = -a + m. What are the prime factors of a?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1743*l = -1728*l - 1305. Let m(w) = -2*w - 8. What is the remainder when l is divided by m(-26)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3864 divided by -14?\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*4\/144*17*6?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/6*(-12 + 6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -72. Let f = l - 13. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12482*d**2\/7 - 11376*d + 18144.\nAnswer: 2*(79*d - 252)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -78*s**3 + 5*s**4 + 78*s**3 + (-5*s**2 + 2*s**2 + 0*s**2)*(4*s - 4*s - 2*s)*(2 - 2*s - 2).\nAnswer: -7*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4230813419?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of 0 + 7\/6*c**3 + 10*c - 1\/6*c**4 - 3\/4*c**5 + 6*c**2. Let z be x(-3). Calculate the highest common divisor of z and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 6*w + 152. Calculate the greatest common divisor of w and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 272\/(-10) + 2\/10. Let q be (-2)\/9 + (-114)\/l. Suppose -q = -4*g - 0. Solve 2*y - 8 = 2*b, -y + g = 6*b - 4*b for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*x - 6842 = -2*j - 45*x, 5*x - 10263 = -3*j. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3337 - 1739. Is j a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)*1 - (sqrt(27)\/sqrt(9) + -3)**2) + sqrt(432)\/sqrt(225) + sqrt(48) + sqrt(48) + sqrt(48) + (2 + sqrt(48))**2 + 3.\nAnswer: 43 + 224*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1754 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 308764 and 360.\nAnswer: 27788760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -65, -87, -129, -197, -297?\nAnswer: -435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -66 + 73. Suppose -x*h - 12 = -9*h. Is 11577\/h - (-12)\/8 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 times -327330?\nAnswer: 8183250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -5, -12\/7, 0.07, -4 in decreasing order.\nAnswer: 0.07, -12\/7, -4, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -t**6\/30 - 21*t**5\/80 - 11*t**4\/16 - 19*t**3\/24 - 3*t**2\/8 - 3*t + 100. Let k(w) = 0. What is w?\nAnswer: -3, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 174339, 703970, 1586689, 2822496, 4411391, 6353374, 8648445?\nAnswer: 11296604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -16*n + 26. Let m be o(2). Calculate the remainder when 218 is divided by (41 - -6) + (-2)\/(-4)*m.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 6 = -5*b, 5*b + 12 = 4*f + 4. What is the greatest common factor of 1 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -172984734 divided by -26?\nAnswer: 6653259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2388.\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 3755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dpd when three letters picked without replacement from {p: 8, d: 9, n: 2}?\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26629*a + 45162*a + 142281*a + 148966*a.\nAnswer: 309780*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 15268354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -2, -5, 2\/21, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -2*m + 0*m**2 - 11\/51*m**4 - 2\/51*m**6 + 7\/51*m**3 - 102 + 1\/357*m**7 + 12\/85*m**5. Factor x(t).\nAnswer: 2*t*(t - 7)*(t - 1)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4317072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 5:11 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 7*k**3 - 5*k**2 - 19*k + 7. Let h(t) = -3*t**3 + 2*t**2 + 9*t - 4. Suppose -4*z = -5*q - 6, 4*q + 0*z = 2*z. Let s(g) = q*f(g) + 5*h(g). Factor s(i).\nAnswer: -(i - 2)*(i - 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 1 = 6. Let b(x) be the second derivative of x**2 - 3*x + 0 + 1\/12*x**4 + x**3. Give b(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/11)\/q**(-2\/19)*(q**(-2)\/q)**(-11) assuming q is positive.\nAnswer: q**(6957\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539)*2 - sqrt(539))*-2*-1 - (sqrt(539)*2 + -2 + -4))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 507 is divided by 64.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 21.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (16 + -30) - (-3 + (-4 - -7))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 682*h + 38*h - 6 - 9*h.\nAnswer: -653*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35211714?\nAnswer: 2, 3, 5868619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6c + -209?\nAnswer: -17b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k - 2*n + 29, -4*n + 34 = -404*k + 402*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2152?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11024)\/(-53) - 121 - -33.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 2)*(-3*g + 2*g + 4*g)*(72 - 117 - 386 - 141) to u + o*g and give o.\nAnswer: -1716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(104) - (sqrt(104) - 6*sqrt(104)*1))\/sqrt(8) + 2*(sqrt(468) + sqrt(468) + 0 - sqrt(468))*5.\nAnswer: 66*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.03 - -0.09. Let d = v + -0.02. What is the second biggest value in d, 3, -2\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l = 28 + 62. Suppose b + 3*b = 3*u + 45, 2*u + 42 = 4*b. What is the greatest common divisor of l and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -649, -696, -743?\n\"Answer: -47*d - 602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - -0.5. Let r = 1.6 + s. Let u = -1.9999972 + r. Round u to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6609077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2. Let u(s) = -2*s**2. Let q(w) = -3*p(w) - u(w). Let d(f) = -6*f. Determine q(d(l)).\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b - 2. Let f be g(0). Let z = -250 - -202. What is the remainder when (-3)\/f*(-64)\/z is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -515*b**3 + 58*b - b**2 + 101*b + 1090*b**3 wrt b.\nAnswer: 3450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/10*(-50)\/(-20). Solve -p - v*p = -15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1955.033ug to kilograms.\nAnswer: 0.000001955033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4*g - 28 = 0. Let t = -2\/103 - -523\/412. What is the nearest to g in 0.3, t, -2\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 - 43.4. Which is the nearest to -1? (a) m (b) 0.3 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 30*z**4 + 65*z**3 - 20*z**2 - 65*z - 10 = 0.\nAnswer: -2, -1, -1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*o + 0 - 20*o + 2 + 15*o - 69*o**2 - 55*o**2.\nAnswer: -124*o**2 - 42*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 495 = -s, -3*o + 5*s + 372 = 4*s. List the prime factors of o.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 8:27 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00020165385 rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/8 of a tonne?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65.7 - -13.4. Let n = -93 + f. Let g = -11 - n. Round g to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -76*x + 76*x - 6*x**2 - 4 + 4*x**2. Let s(z) = -4*z**2 - 7. Calculate -5*k(p) + 3*s(p).\nAnswer: -2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 4677331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 229 + -274. Round b to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6957049211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -720*k**2 + 22*k + 10 wrt k?\nAnswer: -1440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/(-33) + 6\/2 and 37\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1806211, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 37*b - 2592 = -4*b. Calculate the highest common factor of 552 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236001 - j**3 + 236001.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -253*z + 1005. Calculate r(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 696 + -696. Let p = 0.14 + -0.1. Let f = -3.96 - p. Which is the nearest to m? (a) 7 (b) -3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3*x - 28, 3*v - 14 = v - x. Let m(k) = -k**3 + 6*k**2 + 11*k - 25. Determine m(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 1\/6*s**4 - 2*s**2 - 1\/60*s**5 - 2\/3*s**3 + 0 + 0*s. Factor c(m).\nAnswer: -(m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2194 (base 11) to base 14\nAnswer: 10a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 - 9.31?\nAnswer: -109.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 260503590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -40 and 1.48.\nAnswer: -38.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-2)*(25 - 26). Let j(l) be the first derivative of -2*l**2 + 0*l**3 + 0*l**4 - 7\/5*l**5 + w*l + 7. Find the second derivative of j(m) wrt m.\nAnswer: -84*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 688?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**3 - h**3 + 9*h**3 - 13*h**3 + 6*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4403309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*x**2 + 0*x**2 - 148 - 3*x + 120 wrt x?\nAnswer: -8*x - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of 2*w**7\/525 - w**6\/50 + w**5\/75 + w**4\/10 - 4*w**3\/15 + 12*w**2. Solve m(g) = 0 for g.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/2278750 and -36\/1823.\nAnswer: 2278750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16.048 + -0.952. Let z = 0.09 - 4.09. Let t be 6\/(-2)*(0 + (-4)\/(-6)). Sort z, t, d in ascending order.\nAnswer: d, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*k + 95 = 14*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 385 = -d + 6*d. Suppose -2*f + 4*i = 420, 5*f + i = -4*i - 1110. Let h = -198 - f. What is the remainder when d is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 9*p - 737. Calculate the remainder when 849 is divided by u(83).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a. Suppose 0 = 5*q - 6 - 4. Let l = 206 + -201. Let t(w) = -4*w - l*w + q*w. What is z(t(k))?\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzcc when four letters picked without replacement from {v: 5, z: 4, c: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 10 + -7 + -7 + 5\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73995*x**3 - 2*x**2 + 5*x**2 - 3*x**2 - 74004*x**3.\nAnswer: -9*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**2. Let m(u) be the second derivative of -u**3\/2 + 4*u. Determine m(o(z)).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 11) to base 14\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 25 = 5*v. Let y be 57\/4 - 42\/(-24). Let m be y\/(-10) - -2 - (-72)\/270. Which is the closest to 0? (a) m (b) -2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 81*b**2 - 548*b + 31. Calculate n(6).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a**2 + 60*a - 21. Determine o(-15).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1 + 12 + -3 + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 324\/42 + 6\/21. Suppose -n*r + 19894 = 1022. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6190 - -18571\/3. What is the closest to f in 45\/4, 2\/5, 3\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -424.7528 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3229 is divided by 1610?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3012 - 66329\/22. Find the common denominator of q and 0 + (-2)\/((-36)\/(-143)).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1721024 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 196073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14474686483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 62 + 20?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o - 4. Let q be c(8). What is the highest common divisor of 4 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 78 = -242. Suppose -u + 44 = 2*o, -o - 38 = -3*u + m. Suppose 3*z - 199 = -u. What are the prime factors of z?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 316772707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**3\/3 + 89*h**2 - 619*h\/3 + 46 = 0 for h.\nAnswer: -69, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18606721 (base 9) to base 2.\nAnswer: -100011110101011001010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 11*u**2 - 20*u + 7. Determine q(-12).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 6:42 PM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 146 and 125341.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 6\/7*x**2 + 2\/7*x - 8\/7*x**3 + 0 = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14.4 and -0.2.\nAnswer: 2.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 4 (b) 1\/4 (c) 366\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - n + 6 = 2*w, -2*w - 4*n = -16. Suppose -3*k = l - w, -3*l - 12 - 8 = k. Is -8 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -7 + 12 - 2 - i**2 - 3 + 11*i**2. Let h(o) = -2*o**2 - 5. Let q(y) = 3*y**2 + 9. Let l(s) = -9*h(s) - 5*q(s). Give d(l(t)).\nAnswer: 90*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-6) - (-20)\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 10:14 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -34103, -68297, -102503, -136721, -170951?\n\"Answer: -6*m**2 - 34176*m + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 864.1 and 72983.\nAnswer: 73847.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - 228 = -5*g - 5*y, -4*g = 4*y - 192. Calculate the greatest common factor of 5221 and g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1499123 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2754.799 to the nearest one hundred.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 117277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) 0.242 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/27 and -73\/4371?\nAnswer: 39339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(4991\/207 + -23).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k. Let b(h) = 1238*h**2 - h - 133. Give f(b(t)).\nAnswer: 3714*t**2 - 3*t - 399","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7577*j**2 - j**3 - 4 + 11*j**3 - 7577*j**2.\nAnswer: 10*j**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (-474 - -544)*60\/(-322)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 5) to base 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w - 54. Calculate l(0).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1948015607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 32099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/(-75) - 0) + 292\/60. Solve 0 = -i + 4*i - s - 13, 5 = -g*s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4395032 plus 0.3?\nAnswer: 4395032.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/5 + 9946*v\/5 + 158624\/5.\nAnswer: 2*(v + 16)*(v + 4957)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 57*f**2 + 194*f - 852. Determine h(60).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -57*h + 54*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 3*h + 2*m - 228, -m + 91 = h. Let z = h + -44. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.42476 rounded to 1 decimal place?\nAnswer: 7.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21744280 is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.4 - -3. Let f = b - 1.9. Suppose 0 = -5*z + 15, -3*o - 3*z = -3 - 3. What is the third smallest value in f, o, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/8*(-120)\/(-45). Let z(y) = 106*y**2 - 8 + 730*y**3 - 112*y**c - 266*y**3. Let s be z(6). Round s to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110793?\nAnswer: 3, 36931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2689695277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -26, -34, -38, -32, -10?\n\"Answer: a**3 - 4*a**2 - 3*a - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 10, -b + 45 - 10 = -2*m. Suppose 4*t = -16, -50 - 54 = 5*n + t. Let x = n + b. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/2? (a) -5 (b) 3\/5 (c) -0.1 (d) 3.852 (e) -17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 1\/79 (c) 4967 (d) 0.08 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 572149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2695)*-1 - (sqrt(275) - (sqrt(275) - sqrt(275)*2)*-1)\/sqrt(5))\/(3*-1*sqrt(720)*3*4).\nAnswer: -7*sqrt(11)\/216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 40)\/((-44)\/2464). Let k = d - -3255. What are the prime factors of k?\nAnswer: 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10430 a factor of 906888500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 7 - 21 = 0. Let f = m + -1. Suppose 10*v - 8 = 92. What is the smallest common multiple of f and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnzzzzzzz. What is prob of sequence nnz?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*b**2 + 55*b - 55*b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 118*s**2 - 1502*s - 8. Is l(91) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 5*v + o + 11, -4*v = -2*o - 14 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 0, 4*p - 4*i - 53 = 3. Suppose -9*v - 120 = -p*v. What is the remainder when 44 is divided by v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*h - 10*h = 163*h - 5873 - 6425 for h.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27.8 + 28. Sort d, 18, 5 in increasing order.\nAnswer: d, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9855 and 84915.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -171.06755 + -0.09245. Let t = n + 159. Let z = -0.16 - t. Which is smaller: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**2 - 3*a**2 + 2*a**2 + 105 - 239 in the form k + t*a + u*a**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -714 = 118*s + 584 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k. Let w(l) = -l**2 + 1. Let h(a) = 12*a**2 + 5. Let o(c) = -4*h(c) + 20*w(c). Calculate j(o(s)).\nAnswer: 204*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5225177 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -6*j + 143. Suppose 17*k = j*k - 1236. Is k at least as big as 103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**2 - 7*u - 3. Let s be (3 + 0)\/(3\/(-2)). Let r be j(s). Calculate the highest common factor of r and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 3. Is 14 a factor of q - 0 - (-27)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 504 and 180?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 + 0)*(2*w - 5*w + 2*w) + 19392*w - 4842 + 1610 + 1614 + 1618 in the form r*w + d and give r.\nAnswer: 19390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 993796980 to the nearest integer?\nAnswer: 31525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73429, -73336, -73243?\nAnswer: -73150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 27.36 and 4?\nAnswer: 23.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -6*k - 294. Let i = k - -223. Suppose 142 = -w + 5*w - 3*c, -i = -2*w + 4*c. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 v when three letters picked without replacement from {v: 7, r: 2, i: 4}.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4663394621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.79252836 + -769.20748364. Let g = 772 + b. What is g rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86\/(-24)*57\/(-38) + -5\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4761219, 9522440, 14283661, 19044882, 23806103?\nAnswer: 28567324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009329 rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -4\/3 (c) 12 (d) -3\/20 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by (24\/10)\/(9\/30).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546169150 to the power of 1\/3, to the nearest integer?\nAnswer: 817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 5*r - 14, -2*r + 187*f + 4 = 188*f for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -624985 divided by -5.\nAnswer: 124997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18\/27)\/((-4)\/(-18)). Let y(l) = d*l + 12*l - 2*l. Let j(q) = q**2. What is y(j(s))?\nAnswer: 13*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -n**4\/12 + 4*n**3\/3 - 3*n**2\/2 - 2*n. Determine i(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 4 - -7 - 12 - -20.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -5 (c) 12 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 468 divide 4580784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.6 + 1.2. What is the nearest to 2 in 0.2, p, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -232060, -232038, -232004, -231952, -231876?\nAnswer: -231770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10934 and 2387?\nAnswer: 338954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -44ba (base 13) to base 2\nAnswer: -10010110010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n - 2. Let m = 27 - -12. Suppose 48 = 4*b + 4*q, -5*b + 2*q + 0*q + m = 0. Suppose 2*d + b = -3. What is z(d)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -56996*q**2. Let s(u) = 3*u**2. Give p(s(j)).\nAnswer: -512964*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 2) + ((-515495)\/(-25) - (-8)\/(-10)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwv when three letters picked without replacement from owwwwvwwoaaotwawaw?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*((-96)\/(-112))\/(1\/(28\/16)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 4*u**2 - 6*u + 9. Suppose -33 = -5*a - 3. What is the tens digit of n(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26532, -26528, -26524, -26520, -26516?\nAnswer: -26512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4*q - 194. Let s be g(-49). Suppose 0 = -3*y + 2*p + 2115 + 475, s*p = -10. List the prime factors of y.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, -202, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1733 divide 46959454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.027855 rounded to four dps?\nAnswer: 0.0279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1136*d**3 - 9 + 1149*d**3 + 16 - 7.\nAnswer: 13*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1953*h - 4273*h + 1005*h - 229724 = 0 for h.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 184, 734, 1650, 2932, 4580, 6594?\n\"Answer: 183*i**2 + i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 v when two letters picked without replacement from {m: 8, v: 2, p: 3, z: 1, k: 1, n: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1175909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 57, 47, 31, 9, -19, -53?\n\"Answer: -3*f**2 - f + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -933 + -2*(0 + -1). Let l(f) = -62*f - 1680. Let v be l(0). Let s = k - v. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 34795099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 67765239931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*r - 5*r - 2*r + (-6 + 0 + 2)*(-6*r - 6 + 6) to the form d + z*r and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/50 and 116\/290 + (1 - (-23)\/(-2)).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**4)**(4\/5)\/(h**(-2\/7)*h*(h*h\/((h**(-15)\/h)\/h*h))\/h*h) assuming h is positive.\nAnswer: h**(-543\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10005 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.09458*-5\nAnswer: 0.4729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - n + 12. Let g = 2 + -1.6. Let y = 0.3 - g. What is the closest to -1 in -2, n, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 7*c**2 + c - 7. Let y(g) = 19*g**2 + 2*g - 19. Let a(v) = 8*j(v) - 3*y(v). Determine a(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 + (-4 - -8) - 0 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2689957*n**4 - 599*n**2 - 4069*n.\nAnswer: 64558968*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(13*(-63)\/(-4914)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 147*b - 9. Let g(z) = -98*z + 6. Give -8*g(r) - 5*o(r).\nAnswer: 49*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 122*x + 77. Is 77 a factor of j(20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5167248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*f + 3*f + f)*(1 + 3 - 3) + (1 + 7 - 6)*(-2*f + f + 2*f) in the form h + c*f and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a year in months?\nAnswer: 162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 338, 1329, 2964, 5243, 8166, 11733, 15944?\nAnswer: 20799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -23673, -23675, -23677?\n\"Answer: -2*m - 23671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = 2*g. Suppose x + 11 = 3*q, g*q + 0*q + 2*x = 2. Suppose q = -o + 37. Is o a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*o - 287*o + 72468. What is the remainder when 17520 is divided by o?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*x**2 + 35*x + 1221*x**3 - 639*x**3 + 2*x**4 - 735*x**3 wrt x.\nAnswer: 48*x - 918","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78514 and 16946.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7107863?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/392755 and 91\/22200?\nAnswer: 47130600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, y: 5, u: 7}. Give prob of picking 1 u and 2 w.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wkkbwbwbbkkkgbw. Give prob of picking 1 k, 1 w, and 1 g.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 2 - (3484\/234 + (-54)\/3).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -32 + -9 - (2 - 32)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 3:20 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1349, -1348, -1347, -1346, -1345?\n\"Answer: y - 1350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, -1, -5.\nAnswer: -5, -1, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 762846 and 697.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004029 rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -2. Let t(f) be the first derivative of 0*f + 0*f**3 + 0*f**y - 1 + 1\/27*f**6 - 2\/45*f**5 + 0*f**4. Let t(n) = 0. What is n?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 9. Let q = h + 11. Suppose -q*j + 5*v + 18 = -14, -4*v = 2*j - 14. Calculate the greatest common divisor of 33 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*g - 4 = 0, -d + 4 = -0*d - g. Let p be -4*(6\/d + -2). Suppose p*i + 7 - 25 = 0. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 15, 63, 185, 417, 795?\n\"Answer: 6*g**3 + g**2 + 3*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 20?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j**3 + 47545*j - 47545*j.\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.8 + 6194465.\nAnswer: 6194469.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from mlcffl.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 90*-56*40\/(-25200)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(2 - (-25)\/(-14)). Let c(d) = -45*d + 267. Let r be c(5). Let w = h + r. What is the greatest common divisor of 14 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.591 minus 75?\nAnswer: -72.409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85503945895046 - 14.\nAnswer: 85503945895032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 6 - 34. Let d(m) = m**2 + 2*m + 21. What are the prime factors of d(k)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r + 35*r - 5120 = 0. What is the greatest common divisor of r and 128?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 111300 and 44202?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.54, -3, -0.4, 9.12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -y**5\/90 - y**4\/18 + y**2. Factor m(a).\nAnswer: -2*a*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.952 - -0.048. Let p = -4.7 + 5. What is the closest to -1 in p, g, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**4 + p**4 - 5*p**4 + (2*p**4 - 4*p**4 + 8*p**4)*(-8 + 7 - 48).\nAnswer: -297*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -70*t + 494. Let b be x(7). Solve b*d + 2 = 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-10)*(-1)\/1. Let h = -75.8 - -67. Let n = h - -9. Which is the smallest value? (a) n (b) -2\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9096)\/233464)\/((-3)\/(-33)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267 = -5404*u + 5403*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(9*(98\/(-21) - -5)). Suppose 16 = 4*a - 2*a. Solve a*i - 5*i + 12 = y for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 4 + 5 - (8 - (16 - 2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/6*(-40)\/(-4). Let q = -11 - t. Let s be q\/30 + 515\/75. Solve -s = -4*w + 9 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2*sqrt(1300) + 1).\nAnswer: -2 + 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 2 - (10 - 12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t - 4. Let z be i(3). Suppose 4*n + z = -0, -5*f = -3*n - 26. Suppose -f*p = -3*p - 39. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 23?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4307797*n - 2153895*n - 2153901*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -1, 42214\/75 in descending order.\nAnswer: 42214\/75, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -56 and 6395670894.\nAnswer: 6395670838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -153, -438, -839, -1356?\n\"Answer: -58*c**2 - 111*c + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-30))\/((-6)\/30)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 30*y. Let t(q) = -32*q**2 - 56*q - 28. Let c(a) = a**2 + 2*a + 1. Let j(g) = -84*c(g) - 3*t(g). What is j(l(s))?\nAnswer: 10800*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 53451 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - (-2)\/(-10))\/(238\/7735). Let d be (o\/(-30))\/1 + (-9)\/(-18). Which is the third smallest value? (a) d (b) 1\/2 (c) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5971, -23909, -53817, -95707, -149591?\n\"Answer: -2*p**3 - 5973*p**2 - 5*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/sqrt(6) + 2 + 1*(-1*sqrt(17))**2.\nAnswer: sqrt(17) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 12:58 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 432 + -431.99998172. Round z to six decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8765800 to the nearest 100000.\nAnswer: -8800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6439 is divided by 5531.\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u + 3*u**2 + 81*u**3 + 22*u**3 - 91*u**3 + 88*u**3 + 2*u**4 to the form z*u**3 + x + d*u**4 + o*u + v*u**2 and give z.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -81ad7 + -c6?\nAnswer: -81bad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2129\/1734782 + -1\/2758. Which is smaller: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12 + -16 - (-26)\/12. Let w be (2\/1)\/(6\/(-4)). Let b = q - w. What is the biggest value in 3, b, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -5*m + 32. Determine u(1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-8)\/x)\/(x\/(x\/(x\/(x*x**(-45))))) assuming x is positive.\nAnswer: x**(-53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1010556 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -370 at least -368?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*w - 1 = -6, -2 = -2*w. Let u = -177 + 179. Let a be u\/(1 + (8\/5 - 3)). Which is bigger: x or a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16253?\nAnswer: 16253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 186 + -155. Let k = -33 + h. Which is the nearest to k? (a) 4 (b) 0.3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 934 a factor of 19043483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -5 (b) -9.7 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 10:39 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2 + 16*t + 4*t - 1. Let b be w(-3). Let n = 96 + b. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1199 divided by -4\nAnswer: 1199\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -75.871 - 5.8412157.\nAnswer: -81.7122157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/((-256)\/200))\/45.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20438*t - 33340.\nAnswer: 20438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by 20.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*k - 90*k = -5*b + 18021, 4*b - 14436 = 4*k. List the prime factors of b.\nAnswer: 5, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3 - x**5 + 123*x**4 - 1 - 241*x**4 - 2*x**2 + 1 + 120*x**4.\nAnswer: -x**2*(x - 2)*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79405 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -5*o + 8. Suppose 6*j = 4*j - 22. Let v(q) = -9*q + 15. Determine j*g(f) + 6*v(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 479488050*a*k**3*t - 3*a*k**2*t + 208*a*k*t - a*k + 10*a*t - a - 2*k**4 + k**2 + 2*k*t wrt k?\nAnswer: 2876928300*a*t - 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - (1 + (-3)\/(-3)). Let r = 7 - x. Let l = 11 + r. Is l a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17549*r + 17549*r + 3*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/262996, 0.2, 21 in descending order.\nAnswer: 21, 0.2, -7\/262996","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 10*u**2 + 16*u - 6. Let d be (42\/4)\/3*2. Let q(o) = 3*o**2 + 5*o - 2. Let s(r) = d*q(r) - 2*v(r). Suppose n = 6*n + 25. Calculate s(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -40, -55?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-4\/19)*s)**12\/(s**(-6\/7)\/(s**(-41)\/s)))**28 assuming s is positive.\nAnswer: s**(-16848\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/((-532)\/(-152))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(220)\/sqrt(4) - -5*sqrt(165)\/sqrt(3))\/((2*sqrt(320) + sqrt(320))*4 + sqrt(320)).\nAnswer: 3*sqrt(11)\/52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/18*(-78)\/4. Let k = x - 5. Let v = -8 + k. Solve 4 = -f + 4*l, v*f + 2*f - 2*l = 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4108*o + 3558*o + 184524 = -375094 for o.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -8. Suppose -5*l + 5 + 95 = v. Suppose 0 = 3*t + l - 56. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -89528 divided by 1\nAnswer: -89528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z - 26*z + 32 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 + 95 = -5*p. Let q = p - -59. Suppose 18*s + 1200 = q*s. Does 20 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*y = 64*y - 976. Put 3, 0, y in descending order.\nAnswer: 3, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, h: 3}. What is prob of sequence th?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 197838.957*5\nAnswer: 989194.785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38.655 - 24.81. Round w to two decimal places.\nAnswer: 13.85","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -11\/5, -4\/5 in decreasing order.\nAnswer: 0, -4\/5, -11\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23755615 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39649 = -3*h - 3*w - 11080, 19070 = 2*h - 4*w. What are the prime factors of h?\nAnswer: 7, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 0 + -5 + (sqrt(13) - (sqrt(13) - sqrt(156)\/sqrt(3))))**2.\nAnswer: -40*sqrt(13) + 152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 7:23 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + -7 + 2 + -2 + 2. Let c(t) = -5*t - 12. Let k be c(d). Suppose -k*y - 5 = -14. Solve 1 - 7 = y*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5302 times 1?\nAnswer: 0.5302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -602493\/115 or -5240?\nAnswer: -602493\/115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -28\/112103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33716?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17728 - 17728. Factor s + 3\/2*u**2 + 3\/2*u**3 + 0*u.\nAnswer: 3*u**2*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18096 plus -3442?\nAnswer: -21538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 106, 2\/7, -0.2, 4\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 255*o**3 - 5*o**2 + 5. Let a(j) = 254*j**3 - 4*j**2 + 4. Calculate 5*a(h) - 4*l(h).\nAnswer: 250*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4070 and 59.08.\nAnswer: 4129.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -9340 (base 12) to base 4\nAnswer: -3322200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sj when two letters picked without replacement from jeooosjoe?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1254388519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**8\/21 + 5*b**4\/12 + 3*b**2. What is the second derivative of w(o) wrt o?\nAnswer: 320*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 68*i - 782. What is g(-16)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5828*i**2 + 12*i. Let n(c) = -13*c. Determine r(n(s)).\nAnswer: -984932*s**2 - 156*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00577524 to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -625355 by -136.\nAnswer: 625355\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -8. Let c = -854 + 850. What is the third smallest value in 2, c, 0.08, x?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1596 and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 4:46 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(7*(-1 - -2)). Suppose 5*x - g = -3*g - 5, -4 = 4*x + g. Let s be 2*(-1)\/(-2)*x. Which is smaller: a or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 59 (b) -236 (c) -3 (d) 9\/110\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*n + 451*n + 299 = 230*n for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/112)\/(10 - 11).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of r**6\/6 + 11*r**4\/12 + r**3\/3 - 1463*r**2\/2 + 162*r + 6. What is the second derivative of l(b) wrt b?\nAnswer: 60*b**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -10*q**2 + 3*q**2 - 16*q - 7*q + q. Let l(c) = -c**2 - c - 1. Let g(s) = 4*s**2 + 3*s + 3. Let f(x) = -2*g(x) - 6*l(x). Determine f(n(k)).\nAnswer: -98*k**4 - 616*k**3 - 968*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 1)*(5*t - t - 3*t) + 0*t + 2*t - 3*t + (-3 + 6 + 0)*(-7 - 3 + 7)*(6*t + t - 6*t) to i + u*t and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24\/15 + 10 + 318\/(-30). What is the nearest to -25 in 104, i, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10336485\/11 or -939679?\nAnswer: -939679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -93*p**2 - 93. Let f(w) = 9*w + 20. Let v be f(-2). Let i(s) = 1. Let y(r) = v*i(r) + k(r). What is the first derivative of y(n) wrt n?\nAnswer: -186*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(1*-4) + 3\/1. What is the third biggest value in -0.2, l, 12?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -24. Let y(z) = -z**3 + 14*z**2 - z + 17. Let h be y(g). Suppose -2*a = a - h. Which is greater: -1\/12 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 5*h - 2*h)*(5 - 4 - 3) + 9 + h + 0 + h.\nAnswer: -2*h + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -2*c + 6, -8 - 2 = 2*c. Suppose 0*y - r*y + 482 = 2*z, 2*z + 113 = y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/25 of a kilogram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -372*x + 359*x + 65 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2080201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 12 + 4)*(11*r**3 - 27*r**3 + 8*r**3) in the form n*r**2 + m*r + t*r**3 + d and give t.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -2\/7 (c) -1\/4 (d) -5\/2 (e) 34104\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 11) to base 7.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**3 + 38*z**2 + 4*z - 26. What is v(-19)?\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 1.9 (b) 19 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 6:41 AM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022 - -20001?\nAnswer: 11202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(378)\/(4*sqrt(6))*2)\/(-4*4*(sqrt(576) - (sqrt(576) - (sqrt(576) - (-1*sqrt(576) + sqrt(576)))))).\nAnswer: sqrt(7)\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -16*o + 91, -12*z + 65 = -8*z + 5*o. Let j(w) be the second derivative of -z*w - 1\/6*w**3 + w**2 + 0. Give j(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25 or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15802 + 15908. Which is smaller: -16 or v?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - -3 - 48\/18. What is the nearest to c in -1\/8, 1, -1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -944.9 - -945. Which is the nearest to 1.7? (a) -2 (b) w (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-144) + 220\/(-32)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.11, -144, 2\/13 in decreasing order.\nAnswer: 2\/13, 0.11, -0.5, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 89 and 0.2.\nAnswer: 17.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 0*r**2 - 5*r + 8*r**2 - 2*r**3 + 106 - 112. What is the units digit of s(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1800.5 to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 17*g**2 + 41*g + 56. Let i be s(-19). Is 2\/1467 at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w**2 - 9*w - 8. Let y(f) = 10*f - 23. Let n be y(2). Let u(v) = -2*v**2 - 8*v - 7. Let o(d) = n*l(d) + 4*u(d). What is o(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + -16. Suppose 4*w + h = -3*p + 178, -4*w = -p - 149. Suppose -4*x = -2*x - w. Solve x = 4*k + t, 5 + 6 = 3*k + 4*t for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314253315?\nAnswer: 3, 5, 41, 170327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/15)\/(2\/20). Suppose h + b*t = 0, h + 2 = t + 8. Suppose -d = w - 1472, 2*d = d - h*w + 1481. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -3. Let d = -3937 - -3937.02. Sort k, 1\/7, -5, d in decreasing order.\nAnswer: k, 1\/7, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35309 and 376557?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 4*u - 12 = -2*u, 0 = -2*z + 2*u + 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19885418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of 2401*r**6\/45 - 7546*r**5\/15 + 5929*r**4\/3 - 37268*r**3\/9 + 14641*r**2\/3 - r + 3. Determine k so that o(k) = 0.\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 3:33 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -121*p**2 - 35*p**3 + 107*p**3 - 37*p**3 - 37*p**3 as o*p + t*p**2 + n + a*p**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (92\/(-24))\/(35\/(11340\/(-18))*3).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -276 times 5\nAnswer: -1380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1085996 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c54 + -a5?\nAnswer: -cf9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 989465565.\nAnswer: 3, 5, 11, 19, 547, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1282, 2563, 3844, 5125?\n\"Answer: 1281*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 143, 144, 145, 146, 147?\n\"Answer: t + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.02, 65, -1\/6, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-103800)\/6055*(1\/2)\/(5\/35)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 49 - 45 - 4*h**2 - h**2 - 6 - 2. Calculate z(-2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by 34.\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*z**3 + 4*z**2 - 12*z**3 - 13*z**2 - 15*z**3 + 560*z - 6*z**4 - 3 wrt z.\nAnswer: -72*z**2 - 36*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30.733 + 30.933. What is the fourth smallest value in j, -2, 17, -0.9?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 489849019 to the nearest integer?\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 172, -2?\nAnswer: 172","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 5:19 PM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 9 + 6*d + 4 - 4 + d + (-2*d + d + 3*d)*(7 - 3 - 2) + 0*d + 3*d + d + 3*d + 1 - 1 + (3 + 1 - 1)*(d + 0 + 0) to the form c*d + y and give c.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 28, -1, 48849 in increasing order.\nAnswer: -1, 3, 28, 48849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 13\/4 of a gram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -68183 and 0.2142.\nAnswer: -14604.7986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -339839*l**4 - 347*l**2 - 67 wrt l.\nAnswer: -8156136*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -4*v**2 + 6*v + 18. Calculate w(4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*10*(-5)\/(-20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (-1 - 5 - -3 - -3). Let h(c) be the first derivative of -3\/2*c**2 + 0*c + m. Let l(t) = 2*t. Determine h(l(f)).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, x: 2, s: 1, q: 1, g: 2, p: 1}. What is prob of sequence cqsp?\nAnswer: 1\/3432","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 - 101?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 22 (b) 4 (c) 1 (d) -106\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-12)\/8 - -3)*(-472)\/(-6) is divided by ((-66)\/(-8))\/11 - (-154)\/8.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from ddddddppd.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**4 + 0*t - 2*t**2 - 28981*t**3 + 28983*t**3 - 20*t - 19*t to the form c*t + i*t**4 + r + l*t**2 + h*t**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.05, -3, -11, -7, -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c - 5*z - 34, -45187*z + 45189*z - 140 = 6*c for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 839999*u**2 - 1679750*u**2 + 839905*u**2.\nAnswer: 154*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**3 - h**3 + 13*h**3.\nAnswer: 13*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 67351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 157836 divided by 78918?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 345, 406, 467?\n\"Answer: 61*j + 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.39543m to kilometers.\nAnswer: 0.05339543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - -3. Suppose 0 = -f*w + 8 + 12. What is the first derivative of -24*v**2 - 27*v**w + 38*v**2 - 20 wrt v?\nAnswer: -26*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 270\/81*12\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 307494 + -203003. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 14) in base 8?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 45 = 3*f. Suppose -5*z - 3*k - 27 = 0, -3*k = 3*z - k + f. Let t(i) = 6 - 12 + 5 + i + 2*i. Give t(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 4 - 4)*(3 + 0 - 4) + 2*m + 0 + 0 - 2*m + 2*m - 2*m - 1 - 6*m + 0*m - m.\nAnswer: -5*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -2\/85 (b) -0.3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of c**5\/4 + 5*c**4\/24 + 4*c**3\/3 + 9*c**2\/2 + 7*c. Let s(q) be the first derivative of z(q). Is 16 a factor of s(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 10*g**2 + 8252*g - 75090. What is b(9)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2*(-60 + -6)\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/((-28)\/40) + 0. List the prime factors of -46*(-4 - b\/(-4)).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 205463?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddhdtdhdtthdddhth. Give prob of picking 2 d and 1 t.\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4590 and 94310?\nAnswer: 43288290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 91611943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1540127*b + 3080300*b + 0 - 1540148*b + 1.\nAnswer: 25*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/3301122 and 37\/726?\nAnswer: 3301122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 30 = 7*v. Suppose -3*c + 257 = 5*y, -3*y = 2*c - 160 + v. Suppose -y*n + 60 = -47*n. Calculate the greatest common factor of 12 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/196)\/((-864)\/1344)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 185 = 3*v. Suppose 7 = 4*i - v. What are the prime factors of i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**3 + 83*f**2 + 62*f + 171. Determine q(-27).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t + 4*g + 24, 15798*t - 5*g + 15 = 15803*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/((-45)\/20))\/(2\/(-9)). Suppose -w*u + 412 = 4*t, 5*u = u + 5*t + 759. What is u rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**2 - 10*s + 8. Is 12 a factor of c(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51027*p**2 + 57 - 50875*p**2 - 57.\nAnswer: 152*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6633681 micrometers to meters.\nAnswer: 0.0000006633681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqn when three letters picked without replacement from {a: 1, l: 2, q: 1, n: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1693 = -4*a + 2*f + 1719, 2*f = 5*a - 30 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 662.5 + -663. What is the nearest to 0.4 in 0, b, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.56703l in millilitres?\nAnswer: 11567.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d**3 - 97725*d**2 + 198852006*d + 447911883 = 0 for d.\nAnswer: -9\/4, 4073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 76.92 + -77. Let w = r + 0.331. Round w to 2 dps.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 1 + 6 = 0, -4*y + 32 = -4*t. Let x(h) = -h**2 + 8*h - 3. Let a be x(y). Suppose -2263 = -3*m - a*g, m - 2*m + 741 = -2*g. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d - 2. Let c be y(-2). Suppose -2*q = q - 15. Find the third derivative of -7*l**3 - q*l**5 - c*l**2 + 7*l**3 wrt l.\nAnswer: -300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1876949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(2*sqrt(64)) - (sqrt(13) - ((sqrt(156)*-1)\/sqrt(12))**2 - (5 + sqrt(39)\/sqrt(3))).\nAnswer: sqrt(13)\/8 + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in -3, 2, 3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - 18. Let y be (1 + -2 - 2) + -10 + 19. Calculate the greatest common divisor of s and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x + 7*x + 4 - 2*x + 1 as j*x + u and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*l - 350*l + 557*l = -1552 - 1332 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -2. Is v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3436 or 3437?\nAnswer: 3437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4151320, -8302653, -12453982, -16605301, -20756604, -24907885, -29059138?\nAnswer: -33210357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -7. Suppose a*k + 15 = 9*k. Suppose -5*h + 28 - 3 = -5*x, -5*h + 9 = k*x. Solve -g + 2*y + 6 = 0, -g + h - 11 = 5*y for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8417995644 from -5.\nAnswer: -8417995649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**3 + 6*o**2 + 21*o - 76. Calculate t(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.35 - -0.65. What is the closest to c in -2\/11, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*c + 2*c = -101, 128 = 4*u - 2*c. Let o(w) = 8*w + 47. Let f be o(-4). Let d = u - f. What is the smallest common multiple of 8 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 5*p - 160. Let o be (p - 2)*8\/(-20). Let y(r) = -5*r - 9. Is y(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k + 3. Let p be 2*2\/(-4) + -2. Let j be w(p). Let h(u) = u + 13. Let a be h(-9). Solve -5*o + 20 = a*z - 2*z, 3*o - 2*z = j for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67 - -66. Let v be 7*y\/(-2) + 2\/(-4). Solve 2*n = -3*m + n - 4, v*m = -4*n + 11 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 102825116 to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - 4 - (-1 + 46) - 13.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 2\/7 (b) -1 (c) -0.5 (d) 625\/3 (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*d + 20 = 133*d. What is the lowest common multiple of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1053*r**4 + 2102*r**4 + 5*r**3 + 2*r**2 - 1048*r**4 + 2 - 3*r**3 in the form s*r**2 + m + g*r**3 + f*r + j*r**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1251, -1247, -1241, -1233, -1223, -1211?\n\"Answer: b**2 + b - 1253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, 0, 2\/13, -4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 0. Let s be 1\/(3\/9) - c. Suppose s*m - 36 = -m. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.078 + 0.078. Which is the second biggest value? (a) -1.1 (b) 2\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 183 and 1987258?\nAnswer: 5961774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.49904471 to 4 decimal places.\nAnswer: 2.499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -18. Let j = -13 + b. Sort 0, j, -1.\nAnswer: j, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 3*o**2 + 4*o - 2. Let h = -5 - -7. Let g be v(h). Suppose -g*z - 7 - 2 = -5*w, -2*w - 6 = -2*z. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m + 5*j + 45, 2*m = 4*j - 44 + 54 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -770 + 773.532. Let y = x + 0.068. Let q = y - 3.4. Is q greater than 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -121*n**3*x**3 + 31438*n**3*x - 4*n**3 - 9*n**2 + 6097*n + 2 with respect to x.\nAnswer: -363*n**3*x**2 + 31438*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 4, -1\/8, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2498770 - 2.0932.\nAnswer: -2498772.0932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24\/(-156) + (-5)\/((-65)\/873) + 1. Calculate the highest common divisor of 2329 and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1269, -2280, -3289, -4296?\n\"Answer: p**2 - 1014*p - 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6*w**3 + 85*w**2 + 17*w + 57. Let y be j(-14). Let f(v) = -v**2 + 7*v + 4. Let g be f(6). Calculate the greatest common divisor of y and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2*(-40)\/1330)\/(10\/70)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + t + 2. Let o be n(3). Let a = 97 + -91. Let w = a - 9. Which is bigger: o or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.42405 and 0.03.\nAnswer: -0.1627215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 309 + -308.677. What is o rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -141398*g**5 + 121*g**2 + 112*g.\nAnswer: -8483880*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 9. Differentiate -v - 15 - 246*g + 267*g - 15 with respect to g.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n - 4 - 2*n**2 + 2*n + 3*n + 0*n**3 - n**3. Let o be j(-3). What is i in 0 + 0*i + 4\/7*i**o - 2\/7*i**3 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 363244 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 5*d**2 - 3*d + 6. Let x be v(-4). What are the prime factors of x\/13 + 12396\/234*6?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.73 or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 174946850 rounded to the nearest one million?\nAnswer: 175000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*56404\nAnswer: -22561.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.233 - -83.767. Let v = 89 - p. Sort v, -3, 1\/9 in descending order.\nAnswer: v, 1\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hfhchnfffhhhhhfhnf. What is prob of sequence cn?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0 - 2*v**2 - 3 + 0.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-32))\/(50\/60).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -2. Let c = -3 + o. Let v = 4.5 - 5. What is the second biggest value in c, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/15)\/((-313)\/29735).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 942 (b) 0 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k + 18*k = 34*k - g + 2, 4*k + 3*g = 46 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*i + 41 = 0, k + 4*k = 5*i + 190. Suppose 2*w = -3 + k. Is 558\/w + (-2)\/10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 - 256\/(-20) - (-1)\/5. Suppose t*c - 72 = -5*c. Solve g + 2 = c for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 + 7126?\nAnswer: 7135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -149*(-1)\/(-1) - (0 + -2). Calculate the common denominator of 79\/10 and 10\/(-15)*w\/(-16).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 4. Let t = 18.92 - h. Is t greater than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x + 1 - 1 + (-1 + 2 - 4)*(-2*x + x - x) to the form h + q*x and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - t + 6. Calculate the remainder when 53 is divided by l(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, 50, 132, 216, 302, 390?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/5, 10, -4, 0.4, -12, 25?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3082438 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -6394 > -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/24)\/((-2)\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*((-33)\/9)\/(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 15*v + 14323. Is 16 a factor of c(51)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1361278, -1361280, -1361282, -1361284, -1361286, -1361288?\n\"Answer: -2*r - 1361276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/2, 2\/3, 1\/6, 0.2, -7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17161 (base 10) to base 14.\nAnswer: 637b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -a - r, 0 = -37*a - 3*r + 974 - 986 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is -7*(-168)\/21*(-2)\/16?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and -164.052.\nAnswer: 114.8364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3\/7 - 140444340*p**2\/7 - 1232788500543708*p\/7 - 3698364237632172\/7.\nAnswer: -4*(p + 3)*(p + 17555541)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v*v**(-2\/21)*v))\/v**(1\/4))**(-4\/3))**(-50))**(-3\/4) assuming v is positive.\nAnswer: v**(2425\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 - 21. Let f = 12 + -7. Suppose -2*s = 5*l - 74, -4*l + f*l - 3*s - 25 = 0. Solve -u - 3*k - 4 + l = 0, r = 4*k for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -8*c + 1. Determine v(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 11010110001101010000010?\nAnswer: 11010110001101010000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 188*a - 2443. Let l be o(13). What is the closest to 0.04 in l, 0.5, -1\/14, 3\/7?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 3989.\nAnswer: 7\/3989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 165, 1543, 5271, 12525, 24481?\nAnswer: 42315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence houi when four letters picked without replacement from {i: 4, z: 3, h: 2, o: 4, u: 1}?\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 - 25. What is the fourth biggest value in 5, p, -4, 1\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 10*w**2 - 11*w + 9. Suppose 4*x = 25 + 11. Let y be d(x). Round y to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - j = -3*g + 27, 3*j + 17 = 2*g. Let b be (-3)\/j - -3 - -2. Solve 4*a - b - 14 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1684 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: Sort -0.1, -3, -1\/5, 1, 0 in ascending order.\nAnswer: -3, -1\/5, -0.1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/1196805 and -97\/90735?\nAnswer: 314759715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -116*k + 114*k. Suppose -3*x + 9*x - 24 = k. Solve 20 = -v - 5*l, l = 3*v - x - 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 4:49 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zsysyyszzssz. Give prob of sequence zyyy.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 1\/4, 22, -13 in ascending order.\nAnswer: -13, 1\/4, 0.3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3 + (-4)\/((-4)\/11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-496)\/(-160))\/(-2 - 210\/(-100)) and 864.\nAnswer: 26784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 241010.3 and 77.\nAnswer: 18557793.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -3*w + 4*s + 671, -2*s = -2*w + 446. Does 14 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1216) - sqrt(19) - (sqrt(19) - (-2*sqrt(190) + sqrt(190) - sqrt(190) - sqrt(190))\/sqrt(10) - sqrt(19)))**2.\nAnswer: -16*sqrt(19) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**5 - 4*z**5 + 3*z**5 + (-5*z**2 + 2*z**2 + 2*z**2)*(2*z - 2*z - z**3) - 4*z**5 + 2*z**5 - z**5 - 453*z**3 - 12*z**4 + 453*z**3 - z**5.\nAnswer: -5*z**5 - 12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 90987 = 4*t - 8*p, 3*t + p = 68224. Let n = 36130 - t. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(605)*1 - (1 + sqrt(605) + -2)) + (-2*sqrt(605)*6 - sqrt(605)) + 5 + sqrt(605)*1 + sqrt(605) + 5)**2.\nAnswer: -3872*sqrt(5) + 155001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -3 + (-10 - (-288)\/45).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125 + 52 - 374 - 2*a.\nAnswer: -2*a - 447","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 6*z + 7. Let f be m(-5). Suppose -12*n - 23*n + 327 = -144*n. Sort n, 9, f in increasing order.\nAnswer: n, f, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/31 in 5\/2, -1\/3, -3\/4, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 less than -87.218216?\nAnswer: 24.781784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 754 - 375. Let w(p) = 5*p + h + 386 - 770. Determine w(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mhw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 33*h**2 - 85*h - 5. What is the remainder when 120\/(-3)*(-36)\/10 is divided by k(3)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1170381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -179 - -181. Solve -19 = -b + 4*b - 5*h, -16 = k*b - 5*h for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -1\/30*x**6 + 0*x**3 - 171*x + 0*x**5 + 0 + 11\/14*x**7 - 1\/2*x**2 + 1\/2*x**4. What is the third derivative of u(j) wrt j?\nAnswer: 1980*j**2 - 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2\/5))\/v**(-1\/3)*v\/((v*v**(1\/2))\/v*v)*v\/v**(-2)*(v**(2\/11)\/((v\/v**2*v*v)\/v))**(-7) assuming v is positive.\nAnswer: v**(713\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*v**2 - 44*v**2 + 13*v**2 + 37*v**2.\nAnswer: -48*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n - 2. Let t(c) = 2*c + 3. What is 4*t(x) + 3*w(x)?\nAnswer: 2*x + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + c**2 + c - 48. Calculate y(0).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*k + 17*k + 51*k - 108*k.\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1513 and 0.1.\nAnswer: -151.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 702.6982088 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 983*h**2 - 212*h**2 - 2*h + 2*h + 0*h.\nAnswer: 771*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of 5*i**3 - i**2\/2 - i. Suppose 0*v + 4*m = 2*v + 10, 0 = -5*v - 3*m + 14. What is the remainder when y(v) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g**5 - g**4 - 98256*g**3 - 3080643*g?\nAnswer: 60*g**3 - 12*g**2 - 589536*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -16*k + 11. Suppose -8*a = -3*a - 25. Suppose -8*y + a*x - 61 = -4*y, 37 = -3*y - 5*x. Is h(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 131 - 164 - (-1 + -10).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*k - 3*k + 12*k**2 + 23*k**5 - 3*k wrt k.\nAnswer: 1380*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 32*l**2 - 3*l - 5. Let c be k(-1). Let z be (c\/75)\/((-2)\/(-10)). Suppose -3*g - z*p = -4*g + 665, p = -2*g + 1350. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.263993054 - -2.264. Round w to seven dps.\nAnswer: 0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + 43. What is the derivative of 0*o**2 - 54*o**3 + 0*o**2 - 18 + t wrt o?\nAnswer: -162*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15398*h**3 + 183*h**5 + 15398*h**3 + (0 + 0 + 2*h**2)*(-3*h**2 + 3*h**2 + h**3 + 5*h**3).\nAnswer: 195*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2562.929 times -6\nAnswer: 15377.574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 330\/100 - 176\/(-80)\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 2) + 0 + -2. Suppose -8 = 4*j - y*j, 4*j = 4*d - 8. Suppose 3*q = -d + 48. What is the remainder when 47 is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*i + 9 = 0, -4*k + 22 = -i + 2*i. Suppose -k*b - 7 = -52. Let d = b - 1. What is the greatest common divisor of 16 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1953098 is divided by 1953097.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 - g**2 + 4*g**2)*(2 + 0 + 3)*(33*g**2 + 51*g**2 + 34*g**2).\nAnswer: 2360*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, r: 1, g: 1, y: 1, i: 2, h: 1}. Give prob of picking 1 h, 1 y, and 1 g.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*k**3 - 1 + 1 - k**3.\nAnswer: -18*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49*b**3 - 283*b**2 + 728*b + 15?\nAnswer: 294*b - 566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (4 + -5 - -3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 1:29 PM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 20*u + 62. Calculate s(-23).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 102 divided by 4\nAnswer: 51\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/3150 and -55\/2089864?\nAnswer: 470219400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -133*a**3 + 82*a**3 + 2*a**2 + 62*a**3 wrt a?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/5)\/n)**3*n**(1\/7)*n**(10\/3)*n)**25 assuming n is positive.\nAnswer: n**(460\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14159 rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.9 and -1673209.\nAnswer: 3179097.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -138*k - 132?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 1\/4, -3\/5, -0.5, -0.1875?\nAnswer: -0.1875","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-232)\/6 - 2\/(-3). Is 9 a factor of (t\/(-3))\/((-12)\/(-18))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 8 = l - 2*m, -3*l = 4*m - 5. Let i be -290002 - l*1\/((-3)\/2). What is i rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.284 times -2.249\nAnswer: -0.638716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = 4*m - 72. Suppose o - 4*j - m = 0, -2*j - 3*j = 3*o - 222. Calculate the highest common divisor of o and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51 - -325. Suppose z + 46 = 5*j. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.25 - 0.4. Let n = v - 5.85. Let z = -5.5 - n. Sort 0.1, z, 4 in descending order.\nAnswer: 4, z, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6778 (b) -9.09 (c) 4\/7 (d) -4 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4400 - 3648 + 8048 + 464*m.\nAnswer: 464*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -3\/2 (c) -0.5 (d) -323\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(5) + -2 + 2 + sqrt(5)))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/7 - 113*g**2 - 3152*g\/7 - 3148\/7.\nAnswer: -(g + 2)**2*(g + 787)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 3*s**2 - 3*s - 16. What is the hundreds digit of m(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5020, 18787, 41302, 72565, 112576?\n\"Answer: 4374*g**2 + 645*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4504?\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 57412 + -3?\nAnswer: 5740b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*s)*(87 - 11 + 162).\nAnswer: 476*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -p**6\/6 - 17*p**3 - p**2\/2 - 2271*p - 2147. What is the second derivative of y(b) wrt b?\nAnswer: -20*b**3 - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5fd + -27?\nAnswer: 5d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -68412316*i*q**3 - i*q**2 + i*q - 71394*q wrt q?\nAnswer: -410473896*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4, 12, 24, 46, 84, 144, 232?\n\"Answer: x**3 - 4*x**2 + 13*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -592 divided by 65242\nAnswer: -296\/32621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 11*c**2 - 13*c + 24. Let n be q(12). Suppose -79 - 1061 = -n*j. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 499 or 507?\nAnswer: 499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.07 + 0.23. Let k = s - 2.8. Let p = k - 0.5. Which is the second smallest value? (a) 2\/3 (b) -2\/5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 216 + -210. Suppose x = -x + 10. Suppose x*q - 5 = 5*t, 0*t + 2*q + 10 = 5*t. Calculate the lowest common multiple of h and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**2 - 1273*p - 2550 = 0 for p.\nAnswer: -2, 1275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2706, 6673, 10626, 14559, 18466, 22341, 26178?\nAnswer: 29971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - (2 - 1))*70. Let v = h - 15. What is the units digit of v + 1\/(3 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 852822 and 50166?\nAnswer: 852822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0 = -9. Let a be 24\/9 + (-2)\/(-6). Factor -4*m + 2 + w*m**2 - a*m**2 - 2*m**4 + 4*m**3.\nAnswer: -2*(m - 1)**3*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13582697.29251 + 13582545. Let h = -152.3 - s. What is h rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/11)\/((g*(g\/(g**(2\/9)*g))\/g*g)\/g))\/(g**(2\/5))**16)**9 assuming g is positive.\nAnswer: g**(-2968\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 - 34*r - 4. What is z(17)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.6574493 and -63.\nAnswer: -62.3425507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(72) + 4 + sqrt(72) + sqrt(2) - -1*sqrt(128))**2 + (((sqrt(400) - sqrt(16)) + sqrt(16) - sqrt(16))\/sqrt(2))\/(-6*sqrt(16)\/sqrt(4)).\nAnswer: 502*sqrt(2)\/3 + 901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence trx when three letters picked without replacement from trteettvevertetxr?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 6*t. Let f = 30 - 15. Let k = f - t. Solve 5*s + 0 = -k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -509071, -1018192, -1527313?\nAnswer: -2036434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from sssspssssps?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 32 + 7 = o, 2*o - 5*p = 25. Suppose o = -5*h - 291 + 1061. Calculate the highest common divisor of h and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17913 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.025*-0.499\nAnswer: 0.012475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -6*r + 36. Let c(j) = -25*j**2 - 27*j + 23. Let o(s) = 13*s**2 + 13*s - 12. Let g(a) = r*c(a) + 11*o(a). Solve g(d) = 0 for d.\nAnswer: -3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -114.32 - -113.52. What is the third smallest value in 4, -64, o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -451*z - 17984 = -2*c - 450*z, -5*z = 5*c - 45005. What are the prime factors of c?\nAnswer: 5, 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - (-26 - (19 + -13 - 42)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 11:42 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 + 37*t + 86. Determine c(-17).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -157 - -221. Suppose -q*g = -59*g - 290. What is the remainder when g is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/(u*u*(u\/(u**(-4\/3)\/u*u))\/u*u*u)*u))*u)\/(u*u**2)*u**(2\/5)*u**1 assuming u is positive.\nAnswer: u**(-59\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -7. Let u(x) be the third derivative of x**5\/60 - x**4\/12 + 6*x**2 - 1. Let t(l) = -l**2 + 4*l. Give m*u(w) - 2*t(w).\nAnswer: -3*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, 2\/73, 8, -1\/1401?\nAnswer: -1\/1401","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17190721 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**2. Let g(q) be the third derivative of -23*q**4\/24 + 2*q**3\/3 - 177*q**2 - 2. Calculate o(g(k)).\nAnswer: -1058*k**2 + 368*k - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 2:16 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b - -278?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-166 + 42 - 149)*(6*t + 8*t - 3*t)*(3*t**2 + 0*t**2 + 0*t**2) + (-2 + 2 + 2*t**3)*(-1 + 3 - 4).\nAnswer: -9013*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 11:08 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 457*p**2 - 147*p**2 - 155*p**2 - 13*p - 154*p**2 - 12*p to the form a + u*p + t*p**2 and give u.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -602 times -278.49\nAnswer: 167650.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7733233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 719*d - 2174. Calculate f(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -8008887217.\nAnswer: -8008887213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m - 722948574*m**3 + 722948543*m**3 + 0*m.\nAnswer: -31*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 15690\nAnswer: 47070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.7529 and -1.7.\nAnswer: -8.07993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-15)*(-13 + 12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55 by 1.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 5 - 25. Suppose -9 = s - x*s. Solve s*h - h + 22 = -4*q, 0 = 5*q + 5*h + 30 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 3*z**2 + 15*z - 68. Suppose 11*j = 6*j + 35. What is the units digit of x(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 1. Suppose 33 = -c - 27*l + 32*l, 3*l - 25 = -2*c. Solve 2*s + s + 3 = 0, 3*b - 2*s - c = a for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000058872428 to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + (-6 - -19))*2\/2. Solve r + 4*o + l = 0, 2*r - 7*o + 6*o - 13 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 t, and 2 w when four letters picked without replacement from ttdwtawtaaddwrttra.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 76312485*o - 1 + 5 + 76312489*o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.4, 1, 0.4, -47, -1\/6, 0.05, -4?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from lllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13)\/((-702)\/12) + 11\/(-9). Which is the smallest value? (a) l (b) -1\/6 (c) 3\/8 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 + 174 = 5*i - 4*t, -5*i + 299 = 3*t. What is the remainder when i is divided by (-26)\/(-4 - -2) + -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + -1*(sqrt(500) - (sqrt(500)*-2 - sqrt(500))) + -2 + 2)**2 + (sqrt(30)\/(1*sqrt(6)) - sqrt(5)) + -1 + (4*(1 + sqrt(125) + sqrt(5)))**2.\nAnswer: 192*sqrt(5) + 7395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 3 (c) 0.06 (d) 1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -265?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -14 = -2405\/171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 167*i**3 - 11*i**2 + 7*i + 29. Let h(d) = 93*d**3 - 6*d**2 + 3*d + 15. Let w(p) = 11*h(p) - 6*v(p). Let y(b) = b + 1. What is -w(s) - 9*y(s)?\nAnswer: -21*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -25.8 in decreasing order.\nAnswer: -2, -3, -25.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 36, 71, 124, 201, 308?\nAnswer: 451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 185712 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -2\/13 (b) -2\/9 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 330*k**2 + 1016*k + 11478. Calculate m(-327).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.2 - 0.2. What is the third biggest value in -7, h, 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-2)*h)\/((h**4\/h)\/h))\/(h*h\/(h**(-1\/4)*h))**(-12) assuming h is positive.\nAnswer: h**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 23. Which is smaller: d or 8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 4*l + 3. Let n be y(4). Let p be 25\/10*2\/1. Suppose u + 0*u = 4*s + 27, -p*s + 30 = n*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.634140776 rounded to 4 dps?\nAnswer: 5.6341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 379ee (base 15) to base 11.\nAnswer: 111600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 731500521*j*k*q**3 - 5*j*q**3 - 2*j*q**2 + 36*j*q - 27*j - 2436*q wrt k?\nAnswer: 731500521*j*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, 72, 2, 20, -3, 3 in descending order.\nAnswer: 72, 20, 3, 2, -3, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 8:32 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -4343998 greater than -4343997?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) 0.2 (b) -3 (c) 5 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -j**7\/2520 + j**5\/120 - j**4\/8 + 3*j**2. Let c(o) be the second derivative of f(o). Factor c(s).\nAnswer: -(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + w = -7, -2*w = 3*d + 2*w - 2. Suppose 5*o - l + 530 = d*l, 5*o + 4*l = -530. Let j = -23 + 23.1. Is o >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/(-816)*-16*2*12\/(-1120)?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 109693 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1633 less than -0.4?\nAnswer: -1633.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of b**4\/30 + 2*b**3 + 45*b**2 + 450*b + 26. Let c(g) = 0. What is g?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-1) + 7 + -4. Suppose -24 = -c*j + t + 36, -150 = -5*j - 5*t. Solve 0 = -y - 4*k - 5 + j, 0 = -y + k for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 12*t + 752. Give z(-63).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g. Let d(y) = 4*y. Let q(o) = d(o) + 5*p(o). Let i(a) = 16*a. Give i(q(u)).\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.15814 to 2 dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**2 - 504*f - 37948 = 0 for f.\nAnswer: -53, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + d - 2*d = -11, -18 = -3*n - 2*d. Let c(b) = b**3 - 8*b**2 + 9*b - 12. Let z be c(7). Let a be (z - -28) + 2 + 1. Solve -a + 13 = n*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, u: 1, j: 5, f: 1, p: 2}. What is prob of picking 1 m and 1 u?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 13) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 33*h**3 + 7*h**2 - 2*h**3 - 7*h**2 in the form c*h + q*h**3 + u*h**2 + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 3*x**2 + 10*x - 52. Calculate f(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2988932113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 41794 + 1?\nAnswer: 41795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 0.01 (b) -2\/165 (c) 83 (d) 4\/5 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -37347, -72685, -108023?\n\"Answer: -35338*j - 2009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 3:14 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1100010110011111001 (base 2) to base 5\nAnswer: -100422404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 23, 48, 71, 92, 111?\n\"Answer: -g**2 + 28*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + 2. Let p be (-10)\/(-4)*q\/25. Calculate the remainder when 14 is divided by ((-8)\/(-12))\/(p\/15).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 15*u**4 - 11*u**3 - 11*u**2 + 115. Let a(m) = -3*m**4 + 2*m**3 + 2*m**2 - 23. Let l(f) = 11*a(f) + 2*i(f). Differentiate l(w) with respect to w.\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -173 - m**2 + 173 - 3*m**5 wrt m.\nAnswer: -180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-2*(-5 + -4*((1*sqrt(350))\/sqrt(10))\/(sqrt(56)\/(-1*sqrt(8)))).\nAnswer: -60 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/3 + 40\/6. Let t be 2\/((h\/(-8))\/(-3)). Let z = 22 - t. What is the lowest common multiple of z and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -130*c + 132*c - 54, -4*n + 6*c = 156 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30828 is divided by 2362.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79*r**3 + 174*r**2 - 174*r**2)*(-8*r - r + 3*r).\nAnswer: 474*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t + 9. Let p be -6 - (0 - (-3 + 2)). Let g be y(p). Let h = -10 + 14. Solve g*s - 2 = h*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 4. Let t = y - -1. Are t and 6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44\/17 - 274\/119. Suppose -2*d + 3*x = 276, -d + 5*x = 135 + 3. Let i be d\/24 + 6\/8. Which is the third biggest value? (a) i (b) -0.4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 72 - 68. Find the third derivative of 2*m**2 + 121*m**4 - 82*m**d + 3*m**2 wrt m.\nAnswer: 936*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.019885 and -4.867.\nAnswer: -4.886885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26.43 + 0.57. Let i = -22 + t. What is the closest to 0 in i, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/7 (b) -166 (c) 3 (d) -1 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-176) - 0)\/(66 - (-26300)\/(-400))\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, b: 3, a: 1, d: 1}. Give prob of sequence kad.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 15.618.\nAnswer: -62.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -z**2\/2 + z - 3158. Let r(x) = -x**2 + 7*x - 6. Let m be r(5). Let b(k) = k - 1. Determine m*b(o) + 2*q(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w. Let g be r(0). Suppose 0 = -0*n + 2*n - 6. Suppose -u + 21 = c, -c + n*c - 8 = g. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, 2\/5, -57, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i = 3*i - 15744. Let w(o) = o - 6. Let p be w(9). Let t be (-6)\/(-8) - i\/32*p. Round t to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 755.88417ms to days.\nAnswer: 0.000008748659375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3557 - 1904. Suppose -29*h = -26*h - x. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*d + 7*t + 86 = 47*d, 0 = -5*d - 4*t - 57 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -361*p**2 + 2*p - 2*p.\nAnswer: -361*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (13 - -7) + -18 - 7. Let r(b) = -2*b**2 - 1. Let q be r(-1). Suppose 32 = 4*n + 40. Sort w, n, 0, q.\nAnswer: w, q, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 - 32 = 3*n - 5*y - 46, 2*n - 3*y = 53 for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63578245.\nAnswer: 5, 12715649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t - t + 27 - 14 - 4*t. Give k(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 14*y - 5. Let o be k(-14). Let r be 2\/(((-2)\/(-6))\/(o\/(-30))). Solve r = 5*f - 14 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 + -3 - (108 + -120)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4 + (-4)\/6*-147?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54483 is divided by 7781.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (147\/(-49))\/(27\/279)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c*k**4 + 74*c*k**3 + 156*c*k**2 + 2216*k**4 + 86*k - 1 wrt k.\nAnswer: 48*c*k + 444*c + 53184*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**4 - 5*l**3 + 30*l**2 + 20*l - 40.\nAnswer: -5*(l - 2)*(l - 1)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53 - -54. Put -5, 4, n, -5\/3 in decreasing order.\nAnswer: 4, n, -5\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 + 0.2. Let s = 57 + -53.1. Let y = s - 3.4. Sort y, 0.4, a in descending order.\nAnswer: y, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 121*n - 108. Let s be d(5). Suppose -27*b + 10784 - s = 0. What are the prime factors of b?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -6*l + 19. Let m(n) = n - 4. Let w(f) = -11*m(f) - 2*u(f). Let h be w(-6). What is the first derivative of h*s**3 - 4 - s**3 + 5 wrt s?\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**4 - 2*f**4 + 0*f**4 + 115*f**2 - 115*f**2 - 11*f**4 + (0*f**3 + 3*f**3 - 2*f**3)*(-4*f + 5*f - 2*f) + 4*f**4 - 32*f**4 - f**4.\nAnswer: -39*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w. Let p = -223 - -264. Let s(r) = 19*r - p*r**2 - 36*r + 17*r. Calculate s(g(b)).\nAnswer: -41*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.5758734 to three dps.\nAnswer: -8.576","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -294255*q*w**3 + 6850*q*w + 12*w**2 wrt w.\nAnswer: -1765530*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + 17. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 2. Let d = -0.921 + 0.421. Which is the biggest value? (a) t (b) 1\/2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2029444323 to the power of 1\/3, to the nearest integer?\nAnswer: 1266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33491538.\nAnswer: 2, 3, 1860641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 848 = 3*r. Suppose 4*k = -5*u + 857, 7*k = 3*k + 4*u + r. Suppose 250 + k = f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396)*-1 + sqrt(396))**2*-3 - ((-4 + (sqrt(396)*1 - sqrt(396)))**2 + sqrt(396))) + ((1 + sqrt(396) + -3)**2 - (-1*sqrt(396)*-4)**2).\nAnswer: -5952 - 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1380 in 0.05, 4\/7, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, r: 1, t: 1, c: 1, u: 3}. Give prob of picking 1 u and 1 t.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -11 - 5. Let o(r) = -n + 4 - r. Let f(a) = 4*a**2. Determine f(o(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (73 + -62 - (2 + 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 50.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -563*h**2 - 3*h - 544 wrt h.\nAnswer: -1126*h - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 18634*y**2 + 25*y + 179. Let k be r(-13). What is k rounded to the nearest one hundred thousand?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 551 = -m, 4*m + 0*m + 2219 = l. Let d = -150 - m. List the prime factors of d.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 19*i**2 + 35*i + 208. Give y(16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -869*k**4\/3 - 1639*k**3\/6 - 11831*k**2. What is the derivative of y(m) wrt m?\nAnswer: -6952","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 8:19 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17939 at most 17946?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - (-115)\/15)*3. Suppose -z = 2*j + 10 - 3, 0 = -3*j - 5*z - v. Let h = -1 + j. Which is the third smallest value? (a) h (b) 0.3 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150406 (base 7) to base 10.\nAnswer: 29014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + w. Suppose 5*x - 21 = -i, -i + w*x + 33 = -x. Suppose o + 23 = 5*c - 16, 0 = -5*c - o + i. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2628441862 = 2628441863?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 116664*i**3 + 116669*i**3 - 349998*i**3 + 116664*i**3.\nAnswer: -i**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/51582 and -139\/12.\nAnswer: 103164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 172830 (base 10) to base 5.\nAnswer: 21012310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 3*l**2 - l - 2. What are the prime factors of w(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -692*t**2\/13 + 4766*t\/13 + 42 = 0. Calculate t.\nAnswer: -39\/346, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 2)*(11 - (-2 - -10)). Suppose 4*o - z - 2851 = -2*z, -v*z - 3568 = -5*o. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of 6\/5*f - 4\/5*f**3 + 3\/10*f**2 - 9\/20*f**4 - 60. Let h(a) = 0. Calculate a.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 2029. Let r(c) = 598*c. Calculate r(u(f)).\nAnswer: -598*f**2 + 1213342","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -23 in descending order.\nAnswer: 5, 2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/322 or 1?\nAnswer: -1\/322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(11) + sqrt(110)\/sqrt(10) + sqrt(11)))**2 - sqrt(11))*4 + (3*-5*sqrt(66))\/sqrt(6).\nAnswer: -19*sqrt(11) + 9900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8402 - 8400. Solve -4*j - 4*i + 7*i = 26, 0 = 4*j - a*i + 24 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 0*d + 3\/4*d**4 + 4 + 0*d**2 + 1\/3*d**3. What is the third derivative of x(z) wrt z?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038 a factor of 27959568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.407 + -42.287. Let t = -39.9 - f. Which is the closest to -1\/5? (a) t (b) -2\/5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 = 5*d - 5*l, -d + 5*l + 63 + 5 = 0. Suppose 0 = -2*j - 4*k + d, 54 = 2*j - 0*j - 2*k. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q - 2*q - 4*q + 0 + 0 - 2*q + (-q + q + 2*q)*(-4 - 1 + 3) + 0*q + q - 3*q + q + 0*q - 3*q + 4*q + 0*q + 3*q)*(4*q + 0*q - 2*q).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 504.25 + -452.336. Let a = p - 52. Let z = -0.08531 - a. Round z to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m + 3. Let o be w(0). Let j(i) = 6*i - 2. Let s be j(o). Let y = 5 - s. Which is bigger: -10 or y?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/5 + (-6)\/(-20). Sort 2\/57, -1, x in descending order.\nAnswer: x, 2\/57, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 12:11 PM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d - 43 = 21. Let a be 9\/15 - ((-19413)\/(-15))\/(-3). Let y(c) = -219 + a - 219 - c. What is y(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2240734, -2240732, -2240730, -2240728?\n\"Answer: 2*z - 2240736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by (-9 - 11) + 8 - -24?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o - 108 = -141 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v. Let u(b) be the first derivative of 13*b**4\/8 - b**2\/2 + 20*b - 78. Let t(j) be the second derivative of u(j). Determine y(t(k)).\nAnswer: -156*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 101*f + 1679. What is a(-80)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 8, 2*w = -4*j + 4. Let o(p) be the second derivative of -1\/2*p**j - p + 0*p**2 + 0 + 1\/12*p**4. What is the second derivative of o(r) wrt r?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61 + 113. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1712333654?\nAnswer: 2, 389, 2200943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2.12 - 1248572421\nAnswer: -1248572423.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1985595877113 + -0.3.\nAnswer: -1985595877113.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -6*l - 51. What is n(11)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/q**(-2\/5)*q*q)\/q)\/q)\/(q**2*q))**(-2\/33)\/((q**0*q**(-2\/11))\/((q\/(q**(1\/3)*q))\/((q**(-4)*q)\/q))) assuming q is positive.\nAnswer: q**(217\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1212254424 + 3?\nAnswer: 1212254427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 1\/75*h**6 + 0*h**5 - 1\/15*h**4 - 4*h + 0 + 1\/5*h**2 + 0*h**3. Determine x, given that l(x) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -2*m**3\/33 + m**2\/11 - 1. Factor l(y).\nAnswer: -2*y*(y - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a + 0*a**3 - 3 + 0*a**3 + 3*a**3 + (1 + a - 1)*(0*a**2 - 2*a**2 + 3*a**2) - 3 + 3 + 4*a**3 + 3*a**3 + 2*a**3 - 4*a**3 + 9*a**3 - 5*a**3 - 6*a**3.\nAnswer: 7*a**3 - a - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -703*j + 766*j - 126. Which is the third smallest value? (a) 2.56 (b) -2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1221451 + 13?\nAnswer: 1221464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - l - 119 = 171, 3*l = -v + 79. Suppose 2*g - 112 = -4*p, -p - 2*p + 2*g = -70. Calculate the remainder when v is divided by p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.038992 to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4133 - 33616?\nAnswer: -41052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -479*r**4\/12 + 327*r**3 - 3*r**2 - 1298. What is the first derivative of f(d) wrt d?\nAnswer: -958","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-10)*((-245)\/21 + 10).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 8*w**3 - 5*w**2 + 5*w - 10. Let f be d(3). What is the highest common divisor of f and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*f - 6. Suppose -f = u - 6. Put u, -2\/11, 4 in descending order.\nAnswer: 4, u, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -332540 - 3?\nAnswer: -332543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -4. Let h be 1*(-8 + 0 + 12). Suppose 0 = -2*k - h*o - 28, m*o + 35 = -4*k - 9. Is -31\/5 less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzz. Give prob of picking 3 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -3*k**7\/140 + k**4\/2 + 4*k**3\/3 + k**2. Let m(l) be the first derivative of i(l). What is the derivative of m(u) wrt u?\nAnswer: -54*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-4*2\/(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p - 2. Suppose -7*z = -2*z - 55. Suppose z = -5*j - 49. Let x be k(j). What is the highest common factor of x and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.34579869 times 7\nAnswer: 2.42059083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 168247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002939 rounded to 6 dps?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j - 8. Let z be w(-11). Does 3 divide z\/(-2 - -5) + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 2*y - 0 + 3, -3*y = 0. Calculate the least common multiple of j and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d + d + 2*d - d - d + d - 2 - 2*d + 2 + (-4*d - 5 + 5)*(-3 - 4 + 5) + d + 3*d - 6*d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/27 - 37\/333?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-1)*14\/((-182)\/(-299)). What is the tens digit of (1 - 6) + u\/(-2)*5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z + 22. Let c(h) = 4*h - 23. Calculate 5*c(s) + 6*w(s).\nAnswer: 2*s + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -213148, -213126, -213098, -213064, -213024, -212978, -212926?\nAnswer: -212868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**2\/4 - 48429*s\/2 - 871398 = 0. What is s?\nAnswer: -96822, -36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81855 is divided by 676?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*h + 945760 = 945148 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-85)\/(-20) + -4 - 65\/100. Let t = r + 1\/15. Let v(l) = -l - 8. Let d be v(-4). Which is the second biggest value? (a) d (b) t (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -6*q. Suppose -3*s - 7 = -h, -17 = -3*h + 5*s - 4. Let c(k) = 3*k + 2. Let z(y) = y + 1. Let a(x) = h*c(x) - 2*z(x). Give r(a(u)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 - -23027?\nAnswer: 23014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3680 and 7.6.\nAnswer: -3672.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7532914um in kilometers?\nAnswer: 0.0000000007532914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -2\/11 (b) 4\/105 (c) -123\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11390, -44586, -99588, -176396, -275010, -395430, -537656?\n\"Answer: -10903*h**2 - 487*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2.63249 times -3\nAnswer: 7.89747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/7 and 2\/(-9) + (-127)\/9.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/2)*g**(3\/4)\/g*g*g*(g**9\/g)\/g*g*g\/g**(-8))**44 assuming g is positive.\nAnswer: g**891","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2866376?\nAnswer: 2, 358297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 17*o**3 - 2*o**2 - o - 2. Let l be q(-2). Let i be (-52)\/l + 2\/(-8). Which is the second smallest value? (a) 1\/2 (b) 3\/5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -1\/18 (c) 0.06 (d) -1 (e) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7482898?\nAnswer: 2, 3741449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**5 + 2 - 2 + (-48 + 4 - 94)*(13*h**2 - 13*h**2 + 3*h**5).\nAnswer: -415*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -9*(646\/(-38))\/(-816)\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -490580011*p**3 - 515625219*p**2.\nAnswer: -2943480066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 61*c - 50. Is x(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9854.835 millennia?\nAnswer: 985483.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13387\/8 + 1663. Let f = -770\/23 - -14849\/414. What is the common denominator of f and q?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -6603\/218833?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1481, 1467, 1453, 1439?\nAnswer: 1425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 - 2 - 2 + p - 2*p**2)*((0*p - 2*p - 2*p)*(2 - 5 - 2) + 2*p + 2 - 2).\nAnswer: -44*p**3 + 22*p**2 + 484*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-3)*-3)\/(-5*(-12)\/40). Which is bigger: f or -25?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - s - 1. Let k(t) = 13*t**3 - t - 5. Let x(z) = g(z) - k(z). Differentiate x(a) with respect to a.\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 515147?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 116*f**2 + 3*f - 4. Let q be r(2). Suppose -q = -6*n + 290. Calculate the greatest common factor of 18 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 79040 and 33275840?\nAnswer: 33275840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 29 - 55. Suppose -13*t - 756 = -16*t. What is the highest common divisor of i and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-1)\/2)\/((-7)\/280)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -6. Calculate the least common multiple of f and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3866 is divided by 1869.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 0. Suppose 2*b + t = -b + 4, -a*b - 4*t = -16. Solve 5*k + 25 = -b*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/8, 0.3, -0.3, 0.4, 11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 23*l**3 - 211*l**2 - 2*l + 36. Calculate i(9).\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - r**2 - 13*r - 1. What is the hundreds digit of z(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339201.\nAnswer: 3, 17, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/((-56)\/(-2)))\/(54\/324).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, z: 1, n: 2, f: 1, o: 1, q: 2}. Give prob of sequence fo.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -21571, -2, 2, 1\/7 in decreasing order.\nAnswer: 2, 1, 1\/7, -2, -21571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9765946 is divided by 117662.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooj when four letters picked without replacement from {j: 10, o: 4}?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/61 (b) 0.1 (c) 2\/9 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*m**4 - 17*m**4 + 4*m**4 - 30*m**2 - 11*m**2 wrt m?\nAnswer: -576*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -298*k**3 + 104*k**3 - 80 + 705*k**4 + 4*k + 100*k**3 + 94*k**3 wrt k.\nAnswer: 8460*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -67773 or 2414?\nAnswer: 2414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2, -0.134, 4, -7\/5, -10 in descending order.\nAnswer: 4, 2, -0.134, -0.2, -7\/5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*(y\/y**5*y*y*y)\/y*y*y*y*y**(-8)*y*y*y*y)**(-4\/5)*((y\/(y**(2\/3)*y)*y)\/y**(7\/3))**(28\/5) assuming y is positive.\nAnswer: y**(-52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 4, -2, 3, -5, 75 in increasing order.\nAnswer: -5, -2, -1, 0, 3, 4, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 0*x - x)*(-2*x + 3*x + x)*(-41*x**3 - 9*x**2 + 43*x**3 - 2*x**2).\nAnswer: -8*x**5 + 44*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 2*v + 3*v)*(-3 - 2 + 2).\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64 + 79. Suppose -19*q = -14*q + f. Suppose 2*i + 5*l = -0*i - 10, -6 = 3*l. Put 2, i, q, -5 in descending order.\nAnswer: 2, i, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3\/7 + 438*f**2\/7 - 3237*f\/7 - 3672\/7.\nAnswer: 3*(f - 8)*(f + 1)*(f + 153)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448)*3 + 3)**2.\nAnswer: 216*sqrt(17) + 22041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 0.01 (b) -4 (c) 3 (d) -0.3 (e) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**5 - 11*f**4 - 2*f**3 + 246*f**2 - 63*f - 1323 = 0.\nAnswer: -3, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/9 smaller than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 54528436646 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*y**4 + 4*y**3 + 1456 with respect to y.\nAnswer: -24*y**3 + 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + 73074.14604.\nAnswer: 73073.84604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -287, 9, -3, 0.08, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 561576972 to the nearest integer?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2569 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**2 + 19*x - 19. Let n be w(8). Suppose 2*s - 4*a + 22 = 0, 2*s - n*a + 26 = s. Which is bigger: s or 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -12.5. What is the nearest to -1 in -0.3, -3, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 39 = -41. What is the least common multiple of 18 and a?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 + -26.3. Let s = 4.7 - x. Let g = 5 - s. Which is the third biggest value? (a) -5 (b) g (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*d - 166 = 36*d. Suppose r + d = 3*v, 2*v - 232 = -2*v - 4*r. Suppose i - 58 = 5*k - i, 4*i = 4*k + v. Put 0, k, -3, 3 in descending order.\nAnswer: 3, 0, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-4*sqrt(171))**2 + sqrt(171) + -2).\nAnswer: -2734 - 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 155 + 121415?\nAnswer: 121603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1024, -4282, -9766, -17470, -27388, -39514, -53842?\nAnswer: -70366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 38?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/17)*c*c**(-3))**(-38) assuming c is positive.\nAnswer: c**(1368\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.1 - 8. Let d = 2 + j. Let x = -108.3 - -108. Which is the second smallest value? (a) x (b) 3\/7 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 6 - -2 - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 2*l - 27 = -o, 12 = -2*l - 4*o. Let r be (-6)\/(-4)*(-16)\/l. Suppose -3*f + 2*f + r*s + 20 = 0, -3*f + 55 = -5*s. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 83, -4, 0 in decreasing order.\nAnswer: 83, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4253, 4256, 4261, 4268?\nAnswer: 4277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of 3*s**4\/8 - 839*s**3\/12 + 93*s**2\/2 - 2734*s. Factor m(t).\nAnswer: (t - 93)*(9*t - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**3\/23 + 956*d**2\/23 - 958*d\/23 = 0. Calculate d.\nAnswer: -479, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, t: 4, f: 3}. What is prob of picking 1 f and 1 t?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*u + 233600 = -82*u. Is u a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -10 + 1 + 21 - 12. Let z(d) be the first derivative of -d + y*d**3 + 10 + 9\/5*d**5 + 0*d**4 + 0*d**2. What is the first derivative of z(g) wrt g?\nAnswer: 36*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + 0 - (-117 + 119 - (3 + -1 - -9)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5*u = 7, -4*u + 2 + 42 = -3*j. Let y be (9 - (13 + j)) + -1 + -1. Let n = -1 + 4. Sort y, n, 5, -17 in ascending order.\nAnswer: -17, y, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -591.32 to 0 dps.\nAnswer: -591","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.78*-0.3.\nAnswer: -2.634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9729 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u - 6. Let r = 34 + -30. Suppose 0*s + r*s - s = 0. Calculate b(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 12*r - 4. Calculate the remainder when ((-32)\/(-6))\/(-4)*-18 is divided by a(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 2:40 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -471*b + 484*b - 17511. What are the prime factors of b?\nAnswer: 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291010355 to the power of 1\/3, to the nearest integer?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -1\/3*y**4 + 0*y**5 + 1\/6*y**6 - 37*y**2 + 0 + 0*y**3 + 0*y. Find the second derivative of l(v) wrt v.\nAnswer: 120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3008.000704 + -3008. Round b to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23 and 522583.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*m**2 + 19*m**2 + 36*m**2 + (-4 - 2 + 5)*(-2*m**2 - m**2 + 5*m**2))*(45*m - 76 + 76).\nAnswer: 1755*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 w, and 1 z when three letters picked without replacement from {c: 1, z: 3, w: 3, a: 3}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -11 - -5 - 8\/(-10).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*w - 11*w + 3*w**2 - w - w**4 to i*w**2 + l*w + y + v*w**4 + b*w**3 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 62*y - 434. What is q(6)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -d - 2. Let c(p) be the first derivative of p**3\/3 + 2*p**2 - 2*p - 3. Let k(x) = c(x) - 2*m(x). Give k(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**4)**22*z**(2\/43)*((z*z**(-5))\/z*z)\/z assuming z is positive.\nAnswer: z**(3571\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21914 or 21916?\nAnswer: 21916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -25. Calculate the remainder when a is divided by (-9)\/2*2\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 457647 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -169 + 172. Is f\/((-30)\/8) + 856\/20 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-14))\/(6*(-6)\/(-8))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 12*z = -300. Calculate the highest common divisor of z and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4 + 16*h**3 - 34*h**2 + 20*h.\nAnswer: -2*h*(h - 5)*(h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 301979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*a + 472 - 1499 = 0, 3*y - 2*a = 3081. Suppose -4*b = 5*p - y, 5*b - 4*p = -0*p + 1335. What are the prime factors of b?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23282076 divided by -6.\nAnswer: -3880346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - 7 - (367 + -368)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -0.1, 3, 4, -2\/73, -2\/9 in ascending order.\nAnswer: -3\/2, -2\/9, -0.1, -2\/73, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r + 38. Let b be w(-29). Let n(g) = -18*g + 166. Let k be n(b). Solve f - k*f = -12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + sqrt(175) + 2 + sqrt(14)\/(sqrt(242)*-4)).\nAnswer: -3 + 219*sqrt(7)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 326 = 7814. Let w(p) = p + 2496 - l. Let r(j) = -12*j + 6. Let q(a) = a - 1. Let o(m) = -6*q(m) - r(m). Calculate w(o(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 28 = 8. Let s = i - -43\/9. Put s, -0.2, -1\/2 in descending order.\nAnswer: -0.2, s, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.1 + 3.3. Let p be (0\/(-2))\/(5 - 3). Let w = -4 + 3.8. What is the second smallest value in -2\/7, b, p, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xexxdxxzzteexz. What is prob of picking 1 d and 1 x?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57*g*z**5 + 3*g*z**4 + 4*g - 49*z**2 wrt z?\nAnswer: 3420*g*z**2 + 72*g*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o - 6. Let v(c) = -c**3 - 3*c**2 - 2*c - 1. Let h be v(-3). Let b be s(h). Calculate the greatest common factor of 35 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -93, -4, 1382, -0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -g**4\/6 - 7*g**2\/2 - 4*g + 2. Let b(j) be the first derivative of k(j). Find the first derivative of b(v) wrt v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 31\/2 of a decade?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111111110011111001110100111 - -100?\nAnswer: -1111111110011111001110100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 154 = -0*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -15 - 35. Let w be (-52)\/q + (-5)\/25. Factor w*t**2 + 2*t**4 + 10*t**3 - t**4 + 4*t**4.\nAnswer: 5*t**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + -48. Let g = l + 57. Which is smaller: -9 or g?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220354 divided by 12962?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u. Let p be 2*((-1 - 3) + 5). Let w(z) be the second derivative of 0*z**p + 1\/2*z**3 + 3*z + 0. Determine w(m(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.172895 to three decimal places.\nAnswer: 0.173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.122 + -2.182. Let z = y - -2.36. Let h = 0.9 - -0.1. What is the closest to h in 2\/7, z, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 2:26 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -32*f**6\/3 - 2048*f**5\/15 + 629*f**4\/9 + 1444*f**3\/9 - 640*f**2\/9 - 176*f\/3 + 6056. Determine p so that x(p) = 0.\nAnswer: -11, -3\/4, -1\/4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6052 by 89.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 716*g**2 - 134*g**3 - 1433*g**2 + 717*g**2.\nAnswer: -134*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + i - o - 11, -13 = -4*i + 5*o. Factor -2\/3*n**3 + 2\/3*n + 0*n**i - 1\/3 + 1\/3*n**4.\nAnswer: (n - 1)**3*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 114286679.71 to the nearest ten thousand.\nAnswer: 114290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 + -51. Let f(q) = q**2 - 5*q - 12. List the prime factors of f(k).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 78.58 * 117.\nAnswer: 9193.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 3. Let n(v) = 5*v. Suppose -4*q - 8 = -3*r + 39, 2*r + q - 35 = 0. Let k(h) = 14*h. Let t(b) = l*k(b) + r*n(b). Let z(f) = -f**2. Give z(t(y)).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 18627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -10*v**2 - 860*v + 34. Calculate g(-86).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 5, -0.4, 27, -8\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*n**2 + 8*n**2 + 105*n**2.\nAnswer: 97*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of 127*o**4\/12 - 3*o**3\/2 - 1551*o. Let k(q) = -q. Calculate y(k(a)).\nAnswer: 127*a**2 + 9*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 5*t - 45, -23 = -3*y + 4*t - 3*t. Suppose 4*p + 4*u - 76 = 0, 3*u + 16 = 2*p - 2. Calculate the remainder when p is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 252, 3, -11, -1, 0, -38.\nAnswer: -38, -11, -1, 0, 3, 252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -19, -36, -51, -64, -75, -84?\n\"Answer: q**2 - 20*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 5*t**2 - 3*t. Let u(n) = -26*n**2 + 16*n. Let s(w) = -16*a(w) - 3*u(w). Let h(l) = -7*l. What is h(s(j))?\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 32826 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 - 21*g**2 - 928*g + 1932.\nAnswer: (g - 42)*(g - 2)*(g + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48858 = 4*l + 5618. Let c = l + -17728. Let f = c - -41413\/6. What is the common denominator of f and 77\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qrqr when four letters picked without replacement from wqrrrrrwrwrrrwrrwr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5962 (base 11) in base 14?\nAnswer: -2bc0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3831619\/5 not equal to 766325?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 171, 1\/67, -0.06 in decreasing order.\nAnswer: 171, 1\/67, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90000*q**3 - 870751200*q**2 - 11610004*q - 38700 = 0. Calculate q.\nAnswer: -9675, -1\/150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/12, -0.5, 2\/49, 0.3, 0, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -749, -1503, -2255, -3005?\n\"Answer: g**2 - 757*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 71077533, 71077528, 71077523, 71077518, 71077513?\n\"Answer: -5*s + 71077538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*g*r*y**3 - 31*g*r + 2*g*y**2 - 1848*r*y**3 - 1510*r*y**2 wrt y.\nAnswer: 150*g*r - 11088*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67883?\nAnswer: 67883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186433 is divided by 46581?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22345 + -804535\/36. What is the common denominator of r and -163\/594?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1505.\nAnswer: 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zttzzzt. What is prob of picking 3 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1517416 divided by -33.\nAnswer: 1517416\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1106 - -1105. Let g = 5 + 4. Suppose 0 = 3*a - 0*a - 4*v + 8, 0 = a + 5*v + g. What is the closest to -0.1 in a, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5380 and 4035.\nAnswer: 16140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**11\/q))**(-2\/31)*q*q*(q**(-4\/11)\/q)\/q*q*q*q\/(q*q**(-2\/35)\/q*q))**(-1\/10) assuming q is positive.\nAnswer: q**(-13956\/59675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**5 + 34*j**4 + 184*j**3 - 3776*j**2 - 704*j + 14560 = 0. What is j?\nAnswer: -10, -2, 2, 13, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 13*y**2 - 7*y - 30. Is 28 a factor of d(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-140)\/98*-7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 480285 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**2. Let b(m) be the second derivative of -m**5\/15 - 5*m**4\/24 - 9*m**3\/2 + 26*m. Let p(f) be the second derivative of b(f). Determine q(p(z)).\nAnswer: -128*z**2 - 160*z - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*i + 202\/3*i**2 + 2\/3*i**3.\nAnswer: 2*i**2*(i + 101)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(((-220)\/33)\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171 = 35*w - 58 + 167 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 g, and 2 x when four letters picked without replacement from {x: 2, l: 1, d: 1, g: 13, w: 3}?\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -14 (b) 2\/9 (c) -0.4 (d) 3\/5 (e) -8.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -64*d + 66*d - 6504, -3*d + 18*g + 9708 = 0. Does 6 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tqte when four letters picked without replacement from tfffrmetrmmq?\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 6*m + 3. Let a be w(-6). Let x be (-6)\/a - (-9 - -2). Suppose x*h = -4*v + 12, -4*v = 2*h - 3*v - 6. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of z**4\/6 + 67*z**3\/6 - z**2. What are the prime factors of k(0)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2092840 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 - -251. What are the prime factors of x?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5*6\/(-20) - (-340)\/8 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 2. Is (-24)\/18*36\/x a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -415808*b**2. Let r(l) = -9*l**2. Calculate o(r(k)).\nAnswer: -33680448*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*o + 5*f = 33*o + 40, -32 = 2*o - 4*f. Let k = 1.2 - 0.2. Which is the closest to 1? (a) o (b) k (c) 1\/3 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-142)\/(-5680)*-145*(-2)\/4 and (-4)\/(-14) + 254\/(-252)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z + 2. Let c(d) = -d**2 + d - 1. Let o = 6 + -3. Suppose -4*m - 9 = 3*k, -10 = k + o*m - 2. What is k*a(j) + 2*c(j)?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 519\/(-14) - (4 - 3). Let d = -45\/7 + i. Find the common denominator of d and 71\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t**2 - 3*t - 3. Let c(v) = 3*v**2 - 2*v - 2. Suppose -6 = 17*h - 15*h. Determine h*c(o) + 2*s(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5999418 by -79.\nAnswer: 75942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -251104 divided by -42.\nAnswer: 17936\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(68)\/sqrt(4) + (sqrt(17) + sqrt(17) + sqrt(272))*2 + 5.\nAnswer: 5 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 266*j**2 + 1531*j + 7533. Calculate x(260).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dadaqtaaqvvqddvv. Give prob of picking 2 q.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215953*o - 431963*o + 216012*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**5\/2 + 577*k**4\/2 + 32564*k**3 - 2546040*k**2 + 39118464*k = 0?\nAnswer: -336, -297, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -7. Suppose s*p = 7*p. Let v be (p*3\/6)\/(-2). Solve 3*c - 3 + 9 = -3*u, 4*u + 5*c + 12 = v for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 378792.156 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -26\/3359 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -184.16, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2))**(-41) assuming b is positive.\nAnswer: b**82","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/44 - (-20)\/11. Is k smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 - 81) + 79 - (-2 + -2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -3 + 1 - (-18 + (-35 - -47))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8212600.\nAnswer: 2, 5, 11, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 + 4524780*q - 5118408512100.\nAnswer: -(q - 2262390)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 3\/5*w**2 + 12\/5*w.\nAnswer: -3*w*(w - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -u**4\/12 + 5*u**3\/6 + 9*u**2\/2 + u - 62. Let f(g) = -3*g - 5. Calculate -7*f(a) - 4*k(a).\nAnswer: 4*a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(275) + -1 + sqrt(275) + 1 - (sqrt(275)*2 + -4))**2 + 4 + 4.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 398, 410, 410, 392, 350, 278?\n\"Answer: -w**3 + 19*w + 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6375 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*r + 6. Suppose 10 = r*d - 5*l - 37, 4*d - 3*l - 87 = 0. Let c = -122 - -142. Which is smaller: c or d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1812714 minutes in milliseconds?\nAnswer: 10876.284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20712023 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22 + 56 - 34 - 272*x**2)*(x - 4*x + 4*x) as a + l*x**3 + v*x + k*x**2 and give l.\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.3469 + 3.9469. Sort -19, -4\/7, 5\/28, l.\nAnswer: -19, -4\/7, l, 5\/28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 290 by 2.\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -59a923 (base 13) to base 14.\nAnswer: -3d8b34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express o - 3 + 6 - 20*o**2 - 2 + (-5 - 1 + 4)*(-2*o**2 + 2*o**2 + 2*o**2) - 1 - 2*o**2 + 1 + 0*o**2 + 5*o**2 - 4*o**2 as g*o**2 + m*o + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*d + 5*d + 7*d - 17*d + 9*d - 22*d + 13*d.\nAnswer: -67*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qzwzzqvsqqzyvwv. What is prob of sequence qs?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1656 by 30545.\nAnswer: 1656\/30545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -h**4\/3 + h**3\/6 - h**2 - 4*h - 7. Suppose 5*n = 4 + 6. Calculate g(n).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6044 is divided by 121.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/179 or -1?\nAnswer: -6\/179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28173*d**2 + d**3 + 760 + 28173*d**2 + (0*d + 0*d - d)*(2*d**2 + 0*d**2 + 0*d**2) + 0 - d**3 + 0 to z*d + k*d**3 + w + c*d**2 and give w.\nAnswer: 760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oeo when three letters picked without replacement from {o: 2, e: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 10:14 PM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 4 - 16. Suppose 46 = w*n + 26. Suppose 3*g + n = 10. Solve -8 = -4*i + g*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w + 3*a - 1 = -18*w, -a + 7 = 4*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1822 by -3.\nAnswer: -1822\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55443021 by 18481007.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 40\/(-12)*57\/(-2). Let n = -155 + y. Let h = 67 + n. Solve 0 = 5*l - d - h, d + 0 = 2*l - 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ennjf. What is prob of sequence nfnj?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 10*h**2. Suppose -u + 5 = 2. Suppose 25 = -5*f, 0 = -u*s + 6*s - 2*f - 13. Let n(y) = -6*y - 1 + 8*y + s. Determine a(n(w)).\nAnswer: 40*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 6:55 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 485108028?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z + 33. Let d(k) = -7*k + 125. Let x(f) = 4*d(f) - 14*p(f). Give x(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.03, -1\/4, -0.22?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-15) + 21\/5. Suppose -16 = -8*t + g*t. Suppose 7*l - 4*l = 5*z - 8, t*l = 4*z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -297.98 - -294. Let s = q - -4.1. What is the third smallest value in s, -0.1, 0.01?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 11:12 PM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5 + sqrt(288)*1 - sqrt(288)))**2.\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1640.7 + 72?\nAnswer: -1568.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 526 (base 14) to base 5.\nAnswer: 13024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 - -44. What are the prime factors of u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 367875221?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 47*r**2 - 105*r - 107. Let g be q(-1). What is the greatest common factor of g and 1035?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from nddddnndn?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is 2120664341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l**2 - 25*l - 2. Let n be h(-6). Suppose -4*w + n + 12 = 0. List the prime factors of w + (4 - (-1 - 16)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102222101 (base 3) to base 4\nAnswer: 2020123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 50 = -2*k - 13, 31 = 2*k + d. Calculate the smallest common multiple of 20 and k.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -539982, -1079986, -1619992, -2160000, -2700010, -3240022, -3780036?\nAnswer: -4320052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Express (-104*o + 2 - 182*o + 101*o)*(-o - o + 0*o) as b + n*o**2 + p*o and give n.\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 8*t - m = -114, 2*m = 4. Let z be (t\/105)\/(2\/5). Let a = -0.02 - -2.02. What is the nearest to -1 in a, 7, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 230 + -54. Suppose 6*u - 1489 + 439 = 0. Do b and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 308077 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 41 = -3*x, 2*x + 9 + 0 = d. Let v(f) = f**3 + 7*f**2 - 3*f + 1. Determine v(x).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 2, s: 1, a: 6, c: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 632 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39\/8 - -125\/56. Let u = 157\/70 + n. Put -12, u, -2, -3 in decreasing order.\nAnswer: u, -2, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2819 - -0.4.\nAnswer: 2819.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k + 1. Let j(i) = -14*i**2 + 8*i + 5. Let b(x) = j(x) - 5*v(x). Let g(q) = q. Let o(y) = -b(y) + 6*g(y). Find the second derivative of o(l) wrt l.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -76*h - 75. Let s(u) = -4*u. Let g(j) = -2*s(j) + t(j). What is the first derivative of g(d) wrt d?\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 6*m - 55 + 103 - 55. Let x be y(2). Let v be (-5)\/x*-2 + -3. Which is smaller: 3\/23 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 223686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.55*-5.\nAnswer: -7.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2839512, -2839516, -2839520, -2839524?\n\"Answer: -4*u - 2839508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -43*d + 5. Let x be c(-5). What is the highest common divisor of 20 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -15*y - 12. Let f be j(-7). Suppose 2*b = i - 52 + 9, f = 3*i + 3*b. Suppose -7*h + 2*h = -i. Solve 0 = 4*p - h*p + 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 6 = -4*s, -4*u + s - 4*s = 1. Is ((-147)\/6)\/((-1)\/u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*k + 50 = -103*k + 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 210333 (base 4) to base 2\nAnswer: 100100111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3931)\/(-30) - 4\/20. Let t = s - 6475\/48. Find the common denominator of t and 21\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5834760 and 64?\nAnswer: 46678080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 2\/19 (b) -1 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o. Let d(r) be the first derivative of -1 + 0*r - 3\/2*r**2. Let f(w) = 13*w. Let c(b) = 9*d(b) + 2*f(b). Determine c(s(k)).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 50*b - 45*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -1. Let r(t) = -t + 26. Let d(n) = -5*a(n) + r(n). Let q(o) = -41*o**2. Determine d(q(w)).\nAnswer: 41*w**2 + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*z - 965 - 1595. Let w = z - -165. Solve -x = 7 - w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j - 1. Let z(n) = -5*n**2 + n + 2. Determine -2*f(g) - z(g).\nAnswer: 5*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 175457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 6:16 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1476)\/(-697) - (-4)\/(-34). What is the nearest to z in -1, -3, -15, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11771337 - -11771258.999468. Let w = 78 + l. What is w rounded to five decimal places?\nAnswer: -0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09*10.91.\nAnswer: -0.9819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*v**3 + 3*v**3 - 2*v - 10*v**3)*(-1 + 5 - 2).\nAnswer: 6*v**3 - 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*b**3 + 2*b - 263?\nAnswer: -18*b**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 0. Let i be (-5)\/15 + g\/(-3). Suppose i = -3*d + d - 3*x + 9, x + 8 = 3*d. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - -4. Suppose 0 = -5*f + 110 + x. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55108006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/2 of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44496, -44327, -44156, -43983, -43808?\nAnswer: -43631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**3)**(1\/47)*(y*y\/y**(-3))**(-25) assuming y is positive.\nAnswer: y**(-5872\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21133 and 365299?\nAnswer: 2557093","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 417*m + 3*j - 2 = 410*m + 10, 0 = m + 35*j - 382 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ofofoofoofooffffofo. Give prob of picking 2 o and 1 f.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17225 + -17209. Calculate the highest common divisor of z and 12664.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/(-10)*5 - (5 + 0). Suppose p + p = 2*l + 38, -50 = -3*p - 4*l. Let g be 24\/9*p\/8. Solve -g*i = -w*i - 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23186884*r - 57963 = 23187301*r for r.\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - t - t)*(-3 - 6*t**2 + 3 + (-4*t**2 - t**2 + 3*t**2)*(2 + 3 - 3) - t - 2*t**2 + t) + 3*t**2 + 2*t**3 - 3*t**2.\nAnswer: -10*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 248243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 - 30. Let c be (-2)\/(-5)*(h - (-3)\/1). Let r be 4 + (3\/c)\/((-12)\/16). Solve -2*x = r*v - 16, 2*v - 6*v + x + 17 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 10 + 1 = 0. Suppose -5*u + k*y = -0*y - 89, -y = 5*u - 77. Does 3 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/9)\/o*o*o*o\/o**28*o*(o\/(o**(-48)*o))\/o**(-1\/68) assuming o is positive.\nAnswer: o**(14221\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - n**2 - 2*n + 2. Suppose 4*i = 19 + 1. Does 17 divide x(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -1\/120*m**5 + 0 - 1\/6*m**3 + 0*m + 0*m**4 - 16*m**2. Let t(y) be the first derivative of o(y). Let l(q) = 3*q. Give t(l(p)).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 172*z**4 + 110*z**3 - 2*z**2 + z + 1757786.\nAnswer: 688*z**3 + 330*z**2 - 4*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(972) - (sqrt(972) + sqrt(972) + 3*sqrt(972))))**2 - (sqrt(9)\/(sqrt(27)*-3)*-1)**2.\nAnswer: -720*sqrt(3) + 420578\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69.841 + 0.159. Let f = c + -70.3. Let k = -291 + 299. What is the biggest value in k, f, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1685 = 545*k + 293*k + 17589 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2368\/444*(-3)\/(-2). Solve -b*o - 6*o = -70 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 469714?\nAnswer: 2, 7, 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5 = -10. Suppose b = -r*b + 64. Solve -3*m - m - b = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*i**2*q - 253*i**2*r**2 - 2*i*q*r**5 + 136*q*r wrt r?\nAnswer: -506*i**2 - 40*i*q*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 13 = -2*r + 3*z, 35 = 3*r + 5*z for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1711\/3 - -10297\/18. What is the common denominator of d and ((-913)\/176)\/(5*1)?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 37449094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -7*q - 45, -3*q - 324*u + 322*u = 20 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 338554, 338532, 338510, 338488, 338466, 338444?\n\"Answer: -22*a + 338576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 19. Let y = -10 - -13. Suppose 5*p - y*m - 837 = 0, 3*m = -2*p - 2*p + 648. Calculate the greatest common divisor of c and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 168076 + 270039. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -713*t**5 + 847*t - 397295*t**4 + 397295*t**4 wrt t?\nAnswer: -14260*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -50, -57, -68, -83, -102, -125, -152?\n\"Answer: -2*d**2 - d - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = c - 3, -w - 3*c = -5*w - 9. Suppose w = 5*h - 10*h - 2*y + 2, -2*y = 4*h - 2. Which is bigger: h or -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2474 - -2479. Solve 3*j = o - 10, -p*o + 2*j = -0*o + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 10 = 0, -4*v + 5*v = z + 39. Let g = v - 20. Let a = 11 - 2. What is the remainder when g is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84528 is divided by 4166?\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1129264064 to the nearest integer?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 225*t**4 + 12*t**3 - 2*t**2 - 62948 wrt t?\nAnswer: 900*t**3 + 36*t**2 - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 574 a factor of 8117508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2247141061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -28, 23, 74?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16463\/9 - 1829. Factor -2\/9*x**4 + 0 - 2\/9*x**3 + b*x**2 + 2\/9*x.\nAnswer: -2*x*(x - 1)*(x + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (2 - 16) - (21 - 12 - 11 - -7)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 31*z - 427. Solve 2*i - z = -3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26957232 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -414, -2\/7, 80?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 77 = 12. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*(297\/22)\/27. Put -25.8, -0.5, 4\/3, c in decreasing order.\nAnswer: 4\/3, c, -0.5, -25.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1037*y**3 - 4358*y**2 + 3726*y**3 + 1590*y**3 wrt y.\nAnswer: 38118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**2\/4 + 7844013*n\/2 + 20509513314723\/4 = 0 for n.\nAnswer: -2614671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 196 - 194. Suppose -15*t = -13*t - 4*a - 1532, 0 = n*t + 5*a - 1487. What are the prime factors of t?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 7 + 21. Let g(t) = t**3 - 8*t**2 + 6*t + 2. Let d be g(m). Do -6 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 192\/160*15\/(-6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 58*h - 3. Let d(a) = 57*a - 5. Let u(i) = -4*d(i) + 3*q(i). List the prime factors of u(-1).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l**2 + 256 - 461 + 3*l**2 + 215.\nAnswer: -3*l**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20703314 and 126028?\nAnswer: 1286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) 78 (c) 1 (d) -0.5 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 283 divided by -3\nAnswer: -283\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -5*w**2. Let p(d) = 2*d + 47. Give n(p(q)).\nAnswer: -20*q**2 - 940*q - 11045","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14565*k**2 + k**3 + 15*k**3 + 14565*k**2.\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -22. Let b = j + 15. Let n = b + -26.055. Round n to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -68 + (117 - 118 - (9 + 0 + -3 - 14))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1024 is divided by 1009?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -6*o - 3. What is the fourth biggest value in 3, -1\/2, -3, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*t, -5 = 4*h + 5*t + 2. Let o(c) = 27*c**3 - 30*c**3 - 4*c**2 + 8*c - c + 2*c**2. List the prime factors of o(h).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 5*l**3 - 3*l**2 - 19*l - 1. Let s(p) = -16*p**3 + 10*p**2 + 58*p + 4. What is 10*f(t) + 3*s(t)?\nAnswer: 2*t**3 - 16*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(3))**2 + 0 - (sqrt(3) + 3)*1) + ((1*sqrt(270) - sqrt(270))\/sqrt(10))\/(sqrt(1089) - sqrt(1089)*-2 - sqrt(1089) - sqrt(1089)).\nAnswer: 1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/372 and 67\/2004.\nAnswer: 62124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or -73.3?\nAnswer: -73.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.07 - 5.07. Let v = 0 + 2. Do v and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a decade in months?\nAnswer: 340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -42*o**3 + 3*o**2 - 13*o + 14. Give x(1).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(((-27)\/6 - 6)\/(-15)). Are -3 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 321 - 121. Calculate the highest common factor of 8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 11:23 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.226 * 1541\nAnswer: 348.266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -574, -631, -168, 809, 2294, 4281, 6764?\nAnswer: 9737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -786.96 + 755. Let o = 31 + q. Let t = -0.959977 - o. What is t rounded to six dps?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 - 14.60243928.\nAnswer: -14.56243928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 5. Let x = 23 + y. List the prime factors of 2\/(-7) - x\/(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3787)\/(-1082)*7\/((-196)\/(-240)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6101.189467 rounded to 1 dp?\nAnswer: -6101.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 9*m**2 - 2*m - 3. Let w be a(-2). Suppose 11 = 2*p - w. Suppose p = 2*f + f. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -612187*i**5 - 421196*i**2 wrt i?\nAnswer: -36731220*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5002?\nAnswer: 2, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 58980?\nAnswer: 58980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 27*z - 30. Let f be i(-26). What is the remainder when 11 - (-2 - (-4)\/2) is divided by f + 8 + 3 + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-21)\/10)\/7)\/(2\/(-4)). Let g be ((-3)\/22)\/((-9)\/8). Let b = g - -1\/22. Sort v, b, -5.\nAnswer: -5, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - 4*7*-1. Suppose -2*q + 20 = 2*s, 4*s - 4*q - 38 = l. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 65\/10 + (-2)\/4. Let m = 1 - r. List the prime factors of (-30)\/8*(m - -1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -11*p + 154. Let o be n(12). Suppose -23*t + o*t = -2*s + 2, 5*t - 20 = -5*s. Solve 5*g - 13 = -t*m, -5*g + 4*g + 3 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*x - 12 = -5*u, 7 = u - 2*x. Let m = u + -7. Suppose m*c - l + 0*l - 7 = 0, 4*c + 2*l + 6 = 0. Sort -3\/2, -2\/7, c.\nAnswer: -3\/2, -2\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -6*x**4 - 36*x**3 - 24*x**2 - 6*x + 51. Let i(b) = -b**4 - 7*b**3 - 5*b**2 - b + 10. Let u(m) = 21*i(m) - 4*z(m). Factor u(w).\nAnswer: 3*(w - 2)*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 53 - 67 = 0. Suppose 12*s = 5*s + 42. Let a be ((-4)\/s)\/((-16)\/z). Let p(l) = -l**2 + 6*l + 2. Determine p(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -665, -1182, -1555, -1784, -1869, -1810?\n\"Answer: 72*t**2 - 733*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n + 1 - 1. Suppose 45*a + 5*a = 2200. Let w(i) = a - 97 + 21*i**2 + 53. What is o(w(k))?\nAnswer: -42*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/15)\/((-16)\/12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 74, 5, -29, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -b**6\/180 + 77*b**5\/30 + 175*b**4\/9 + 52*b**3 - 2*b**2 + 371. What is y in x(y) = 0?\nAnswer: -2, -1, 234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/167 or 634076?\nAnswer: 2\/167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of 5*o**8\/336 + o**7\/2 + 33*o**6\/8 - 121*o**5\/12 + 41*o**2 - 4*o. Factor g(l).\nAnswer: 5*l**2*(l - 1)*(l + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 246 and 1148?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8065 + -5986. Is 34 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 10, -93, 363 in ascending order.\nAnswer: -93, -1, 2, 10, 363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 76422 (base 10) in base 14?\nAnswer: 1dbca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47318*j**4 - 24*j**3 + 5856282*j?\nAnswer: 567816*j**2 - 144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p**3*w**3 - 46683*p**3 - 572*p**2 - 2*p*w**3 - p*w**2 - 17*p*w - 6262*w**3 - 40 wrt p?\nAnswer: -12*p*w**3 - 280098*p - 1144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 7*z + 6. Calculate r(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25591 and 628?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.6 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-5*(sqrt(99) + -5*(sqrt(99) + -2)) - (2 + sqrt(99)*2 + -1 + -1*sqrt(99)))*6)**2.\nAnswer: -209304*sqrt(11) + 1380240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 236*m**4\/3 + 117*m**2 - 23*m + 12. Differentiate r(y) with respect to y.\nAnswer: 1888*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 598 or 504491\/842?\nAnswer: 504491\/842","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/13 in 0.2, 0.128, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 6 = 6. What is the remainder when (-1568)\/(-168)*((3 - -1) + -1) is divided by (-21)\/l - 5\/20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 - 423c?\nAnswer: -4247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10567428 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.05 and -184697036229179.\nAnswer: -184697036229178.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 921*r**3 - 32*r**3 - 107*r**3 - 9*r**2.\nAnswer: 782*r**3 - 9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1109055, 1109060, 1109065?\n\"Answer: 5*c + 1109050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 7:47 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 3*y + 2. Let n be f(-4). Suppose n*q - 3*q - 261 = 0. Suppose 44 + q = c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from qqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 5*k**2 - 5*k - 1. Let p be t(-4). Suppose -p = -q - 4. Sort q, 1, -2.\nAnswer: -2, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**4\/7 + 3096*y**3\/7 - 9381*y**2\/7 - 68238*y\/7 + 74520\/7 = 0. What is y?\nAnswer: -1035, -4, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 3*c + 1 + 16, 5*p - 21 = 4*c. Determine m, given that 18\/7*m - 16\/7*m**3 + 0 - 12\/7*m**4 - 2\/7*m**p + 12\/7*m**2 = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - v - 13 = 0, -4*q + 26 = -q + 5*v. Suppose q*g = 11*g - 132. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 0*p + 3*p - 2*p + 2. Let z be s(2). Let a(n) = -2*n - 3*n + z*n. Determine a(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -41, -57, -45, 7, 111, 279, 523?\n\"Answer: 2*b**3 + 2*b**2 - 36*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3337, -3170, -2999, -2824, -2645, -2462?\nAnswer: -2275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 2264511051?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + (sqrt(91) - (sqrt(91) - (5*(sqrt(91)*-2 - sqrt(91)) + sqrt(91) + sqrt(91)))) - (sqrt(91) + (sqrt(91) - sqrt(91)*1))*-4)\/(sqrt(1008)*2*2).\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -9.45 (b) -2\/9 (c) -0.5 (d) -2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2180 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by 2242?\nAnswer: 15\/1121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from 1.0100119459.\nAnswer: 1.5100119459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*n**2 + 13 - 13 + (258 - 258 + 14*n)*(0*n + 0*n - 2*n) in the form d*n + v + h*n**2 and give h.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4493)\/(-5) + 3\/20*-4. Suppose 5*h = -4*j + j + m, -h + 174 = 2*j. What are the prime factors of h?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t + 0*t + 2*t**2)*(-38 - 19 - 48) + (2*t - 4 + 4)*(t + 2 - 2) - 4 + 4 + 8*t**2 in the form v*t + d*t**2 + y and give d.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4439*k - 456 = -4591*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 204561\/(-49708) - 3\/(-4). Let n = x - -58\/17. Is n less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/6 and 145\/192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 1. Let c(a) = 9*a + 3. Give -c(d) + 4*n(d).\nAnswer: -9*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 459350.\nAnswer: 2, 5, 9187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k*(k\/(k*k\/(k\/(k*k*(k**(-11)*k)\/k))))\/k)*k)**(-4\/11)*(k**(-2\/23))**43 assuming k is positive.\nAnswer: k**(-210\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -874 + 849.59. What is h rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*n + 222 - 987 = 0 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5305 + 5304.98. What is the second biggest value in w, 3\/8, -29, -0.1, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 + 378414*k**2 + 15132960*k + 151317600.\nAnswer: 3*(k + 20)**2*(k + 126098)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, q: 2, o: 2, u: 3, p: 2, k: 2}. Give prob of picking 1 k, 1 p, 1 u, and 1 o.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2625935 and 4615?\nAnswer: 2625935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 2*b - 2, 0 = 4*w - 0*b + 9*b - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u**2 + 25045*u**3 - 7*u**2 - 25048*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1585040, 1585047, 1585042, 1585019, 1584972, 1584895?\n\"Answer: -l**3 + 14*l + 1585027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 12, k: 2, p: 5}. What is prob of sequence kj?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(288)\/(-1*sqrt(12)) + sqrt(24)*1*-4)\/(1*(sqrt(32)\/(sqrt(4) - sqrt(16)) - (sqrt(8) - 5*sqrt(32)))))**2.\nAnswer: 675\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.17025 litres in millilitres?\nAnswer: 70170.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(-30)\/18*((-427)\/70 - -7). Let t be (-9)\/4*34\/3. Let h = 25 + t. What is the nearest to -0.9 in -3\/5, m, h?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q + 1. Let k(o) be the third derivative of o**5\/60 - o**4\/8 + o**3\/2 + 6493*o**2. Give k(b) - 2*y(b).\nAnswer: b**2 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -4 (b) -2\/3 (c) -6 (d) 3 (e) 597 (f) -2\/339 (g) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - -3. Let r = q + -5. Let b(x) = 1 - x**r + 2*x - 3*x + x**2 + 2. Give b(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 - 0.6. Let o = 21.5 + -22. Suppose 4*m = -5*u - 11, u - 7 - 6 = 3*m. Which is the closest to q? (a) m (b) o (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64 and 1791432?\nAnswer: 14331456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 8501168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -33916 and -0.021.\nAnswer: 712.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35 * -7.7.\nAnswer: 269.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 2\/1913?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-1 + 40\/(-32) + 4?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -7 + (1 - -4) + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**3 - q**3 - q**3 + (5 - 1 - 2)*(-q + 0*q + 3*q)*(-6*q**2 + 10*q**2 - 8*q**2) to g*q**2 + l*q + s*q**3 + r and give s.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010100 + 1110111010?\nAnswer: 1000100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, i: 3, o: 3, n: 2, g: 4, e: 1}. What is prob of sequence nio?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2899 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txxxtxxtxx. What is prob of picking 2 t?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 991 + -994.984. What is l rounded to 1 decimal place?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2376 (b) -3 (c) 8 (d) 2 (e) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/12642 and -41\/1656102.\nAnswer: 1656102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yi when two letters picked without replacement from {b: 2, p: 2, h: 4, y: 1, i: 1, n: 2}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 230154815 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (u**2 - u + u)*(-73*u + 73*u + 20*u**2) in the form a*u**4 + y*u**2 + k + t*u**3 + c*u and give a.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 + -20. Calculate the greatest common divisor of d and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 4:03 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 + 18 + 33\/(-11))\/(-6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000201543246 to five decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/15)\/(3*8\/30)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/7, 2\/13, 8317, -2\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fmpmqqfmrlf. Give prob of picking 2 f.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 10939845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000001457126 rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2405\/116009 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 20*z - 1. Calculate i(-2).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4935939?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -301.9132 - 3936.\nAnswer: -4237.9132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1643\/5 + 10\/25 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**2 + 4*a**2 + 2*a**4)*(-1 + 3*a + 1) + 0*a**5 - a**5 + 4*a**5.\nAnswer: 9*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 3 (c) -0.7 (d) -5\/4 (e) 15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*(-1)\/(-2)*(-5)\/((-5)\/(-1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -272*z**2 + 78*z - 1730. Let r be x(80). Round r to the nearest ten thousand.\nAnswer: -1740000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 1. Let s be h(0). Let p = 1 - s. Let q be (-6)\/(-9)*(-1 + -2). Sort p, q, 3.\nAnswer: q, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**3*y**3 - 118*h**3*y + h**3 + 25*h**2*y - 5*y**3 + 516493*y**2 - y - 42 wrt y?\nAnswer: -6*h**3*y - 30*y + 1032986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, u: 2, m: 2, e: 4}. Give prob of picking 1 p and 1 e.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jqq when three letters picked without replacement from {w: 3, j: 4, e: 1, q: 5}?\nAnswer: 20\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -72532 - -2176181\/30. Let r = l + -15\/2. Sort r, 0.1, 3 in descending order.\nAnswer: 3, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -0*x - 2*x. Let n = -0.1 + -0.1. Which is the closest to -2\/5? (a) n (b) 2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 182, 2\/13, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 5 (c) 0.34 (d) -4 (e) -18510\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 9 - 4*w + 14 - 16. Let s(l) = -2*l + 3. Determine 4*b(h) - 9*s(h).\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6419 - -6425. Calculate the highest common factor of c and 162.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) + (-2*sqrt(36))\/sqrt(6) + sqrt(6))\/((sqrt(144) + sqrt(9) - sqrt(9))\/sqrt(3))*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3671 + -3515. What is the greatest common factor of 84 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -10*f**2 - 12*f. Let y be 7*30\/35 + 6. Let p(n) = n**2 + n. Let t(g) = y*p(g) + a(g). Let i(j) = 78*j. What is t(i(d))?\nAnswer: 12168*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 3*q**2 + 2*q - 2. Let k be d(2). Suppose 7 = 4*f - 3*a, -2*f = 2*f + 3*a - 25. Let y(w) = -5 - w**2 + 2*w + 2 - f*w. Determine y(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n**2 + 5*n**2 - n**2. Let h(b) be the first derivative of -3*b**2 - 1 - b**3 + 3*b**2 + 3. Determine z(h(c)).\nAnswer: 9*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 2*y**2 + 2*y - 62. Give o(0).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 6 - 15 + 7*o)*(1 - 4 + 4).\nAnswer: 7*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 5*g - 3. Let h be (10\/6)\/((-287)\/(-42) + -6). Determine w(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 5*f + 4\/3*f**3 + 12 + 2*f**2 - 1\/4*f**4. Determine k(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 - 44. Let l(x) = -23*x**3 - 6*x**2 - 14*x - 6. Let q(r) = 8*r**3 + 2*r**2 + 5*r + 2. Let y(s) = 6*l(s) + 17*q(s). What is y(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 1 = 2*h, -2*h + 4*h + 8 = -4*i. Suppose -3*u + h*k = -2 - 3, 4*k = u + 5. Is 22 + u + 2\/(-1) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7511671?\nAnswer: 17, 131, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, h: 13, m: 2}. What is prob of sequence hyh?\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2 = 2*k + 3*k, 2*u - 1 = 5*k. Let n be u + (-20)\/8 + (-46)\/36. Let w = n + 1. What is the second smallest value in 4, w, 1, -1\/6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/9, -33, -2\/19, 2\/3, 3?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 89872397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajjxjijrx. Give prob of picking 2 j.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u**2 - 7*u + 7. Let s(b) = -b**2 + 2*b - 2. What is 21*s(d) + 6*v(d)?\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02888 in 0.2, -0.75, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 - -0.2. Let v(y) = -y**3 + 7*y**2 - 15*y + 41. Let q be v(6). Let w = -35 + 38. Sort q, w, g in descending order.\nAnswer: w, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004362 rounded to four decimal places?\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54 + -54. Suppose z = 5*b - 6*b - 120. Calculate the remainder when 114 is divided by -2*(-1)\/2*b\/(-3).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h + 2*h - 3*h)*(-2486 + 2486 + 161*h) + 4*h + 4*h**2 - 4*h in the form f*h + c + o*h**2 and give o.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.069 - 0.001. Round z to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -d + 4. Suppose -14*c = -10*c - d. Solve -3*t + 19 = c*y, -3*y = -t + 3*t - 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 772.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**4\/11 - 18*j**3\/11 + 32*j**2\/11 + 120*j\/11 = 0. What is j?\nAnswer: -10, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 143, -9 in ascending order.\nAnswer: -9, -4, 5, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2 - 3*h - 5. Let i be u(4). Let m = -22 + i. Let p be 2\/m + (-172)\/(-14). What is the greatest common divisor of 36 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 17143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -166*c**2*y - 109*y wrt c.\nAnswer: -332*c*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -273798608969 and -0.04?\nAnswer: 273798608968.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -k**7\/840 + k**5\/120 + k**3\/6 + 3*k**2. Let b(c) be the first derivative of t(c). Factor b(j).\nAnswer: -j*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/9)\/(r**(1\/2)*r))\/(r\/r**(-9)*r*r**(-7)) assuming r is positive.\nAnswer: r**(-97\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 i when two letters picked without replacement from iniamiinnmiiiiaoam?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of 643*f**9\/72 + 2533*f**5\/20 - 48*f**2 + 1. Find the third derivative of n(z) wrt z.\nAnswer: 540120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -4 + (-9 - -15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -46*f**2 - 4*f - 10. Let z be b(-4). What is z rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 23130.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0378 * -0.0367.\nAnswer: 0.00138726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -62838394 and -62838395 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 + (-36 + -1 - -39 - (8 + 1))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a factor of 11235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-392)\/(-2210) - 8\/(-10)*7120\/(-37024)\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 0 - 2 - (-18 + (9 - -8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 22, -1\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12, 6, 0?\n\"Answer: -6*c + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -559.899 * 0.06\nAnswer: -33.59394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 3:37 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 28. Let k(y) = 5*y**2 - 5*y - 5. Let x(r) = 2*r**2 - 2*r - 2. Give m*x(t) - 3*k(t).\nAnswer: -t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*((x\/x**2)\/x)\/x*x)\/x)\/x**2)**15\/((x*x*x**(-6))\/x**1)**7 assuming x is positive.\nAnswer: x**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -17. Let a(v) = -2*v**3 + 2*v**2 - 2*v + 1. Let t be a(1). Suppose -2*f + 5 = 3*f. What is the closest to s in f, -0.2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o**2 + 3. Let j(u) = u**2 + u + 1. Let t(l) = -g(l) + 3*j(l). Find the second derivative of t(i) wrt i.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 73280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 11:47 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/176, 1\/4, -1\/3?\nAnswer: -1\/176","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 1659?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s. Let p(j) be the second derivative of j**4\/12 + j**3\/6 + j**2\/2 + j - 142. Determine -n(i) - 2*p(i).\nAnswer: -2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by -1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of 2*u**3\/3 - 8*u**2 + 14*u + 246. Let x be i(7). Solve 4*f - 14 = -0*f + z, x = 5*f - z - 17 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 1288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 9*d**3 + 10*d**2 - d. Let z be k(1). Solve 0*y = -5*y - i + z, 0 = 4*y + i - 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1)**(-5))**(-34)\/((p**(-1))**(1\/9)\/(((p**(2\/5)\/p)\/p)\/p**(4\/9))) assuming p is positive.\nAnswer: p**(2521\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0609 - 0.0391. Let n = -188 - -186. Let o = -0.2 + 0. Which is the closest to o? (a) i (b) -2\/11 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4)\/(b*b\/(b**(-2\/9)\/b)))**(-13\/6) assuming b is positive.\nAnswer: b**(845\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 - (-1 + -1) - -13 - -7?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*f + 5*r - 636, 3*r = -5*f + 634. What is the greatest common factor of f and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -214193?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0, 84, 3, 467\/9, -1\/4, -1\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 5*w + 1. Let c = -224 + 223. Give k(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**4 - v**4 - v**5 + (0 + v + 0)*(2*v**4 - 3*v**3 + 3*v**3) - 3*v**4 - 3*v**5 + 3*v**4 + (2 + 0 - 10)*(3*v**5 - 4*v**5 - v**5).\nAnswer: 14*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -2. Let j(i) = 7*i**2 - 5*i + 6. Let k be j(1). Suppose 0 = -4*r + k*r - 12. Which is greater: r or c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/4 (b) 3 (c) 0 (d) 5\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 745601.9 decades?\nAnswer: 7456019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/56 and -37\/12.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 327077 or 327078?\nAnswer: 327077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -7. Let c be (u\/(-6))\/((-2)\/8). Suppose 8*d = 7*d - 3*r + 4, 4*r = -16. Calculate the highest common divisor of d and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1974.411141 + 1974.4. What is d rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 116, 1, 25656 in increasing order.\nAnswer: 1, 116, 25656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 7*b - 3. Let a = -27 - 49. Let x = a + 86. Calculate the remainder when f(x) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1233934775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 23. Let v(a) = a**3 + 4*a**2 - 6*a - 2. Let y be v(t). Solve o + 0*o - y*g = -14, -2*g = 3*o - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1014 (base 7) in base 4?\nAnswer: 11202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, v: 7, r: 3}. Give prob of sequence rvr.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2479 and 925.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 417730274 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14493 + -5802. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2042586 a multiple of 273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108555590 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.8 - 8. Let s = p - -2.1. Which is the closest to 0.1? (a) 5 (b) s (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 0.7. Let h be (-11)\/(-396)*3 + 1\/4. What is the smallest value in h, l, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 400470979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*z + 127*z - 36*z + 123*z = -7616 for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z + 6. Let m(g) = -4*g - 5. Let i(d) = 5*m(d) + 4*v(d). Let h(j) = -45*j - 38*j + 74*j - 2. Calculate 2*h(x) - 5*i(x).\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14458751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 22*r**2 - 34*r + 3. Let w be m(4). Suppose 0 = q + 4*l - 59, 3*q - l - 23 = w. What is the remainder when q is divided by 42?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1867776 a multiple of 260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 125*a*f*l**2 - 12*a*l**2 + 11*a*l - 22*a + 900*f*l**2 + 4*l**2 wrt f?\nAnswer: 125*a*l**2 + 900*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 + 0*j + 0*j + (j - 2*j + 2*j)*(j + 2*j - 4*j) + 330 + 1056*j**2 + 355 - 685 + (-3*j - j + 6*j)*(2*j - 5*j + 2*j) + j**2 + 2*j**2 - 4*j**2.\nAnswer: 1050*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7238866 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*((sqrt(187) - sqrt(187)*1)*6 - (sqrt(187) + (sqrt(187) - (sqrt(187) + (sqrt(187) - -1*sqrt(187))))*-2)))\/(sqrt(440)\/(-1*sqrt(1000))))**2.\nAnswer: 170000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6053 + -6047. Sort 4, 47, 1, t in descending order.\nAnswer: 47, t, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691.582 millilitres in litres?\nAnswer: 0.691582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 281649?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1748 is divided by 867?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -6. Let c = -83605\/10269 + -2\/1467. Let a = 143\/21 + c. Put g, -0.5, a in increasing order.\nAnswer: a, -0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(4 - (-3 + 8)). Suppose -2*s = -p + 4*p + 7, k*p - 4*s - 5 = 0. Let g be -3 - -9 - (2 + p). Solve -c - c - 2*o + 2 = 0, 3*c - 3 = -g*o for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41296632.\nAnswer: 2, 3, 13, 132361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000039584563 rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -5. Let d = k + -25. Let g = 21.998 + d. Round g to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 83 - 82.97. Which is the nearest to -0.3? (a) d (b) 0.1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -31?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3873.\nAnswer: 3, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3*-1*3)\/(11\/(-77)). Suppose -9*i = 12*i - b. Solve -2 - 7 = -i*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.7226076 centuries?\nAnswer: 867.12912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwjpwljww. What is prob of picking 2 p?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 17\/2 of a meter?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -66219004 times -5?\nAnswer: 331095020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 196033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 46449*o - 648 = 46434*o, 4*o = 5*x + 161 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 22*l**2 - 5*l - 99. Let p(s) = 7*s**2 - s - 33. Let i(q) = -6*h(q) + 19*p(q). Give i(-14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, e: 4, p: 2, k: 2, o: 2, q: 1}. Give prob of picking 1 e and 1 q.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*g**2 + 49*g**2 + 102*g**2 - 224*g**2)*(-3*g + 0 + 0).\nAnswer: 87*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/5)\/(1068\/5340)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 68*l**2. Let c(f) = f. Give c(q(j)).\nAnswer: 68*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2. Let r(c) = -268270*c**2. Give r(g(n)).\nAnswer: -1073080*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3102040 (base 5) to base 10\nAnswer: 50270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 763027789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -69 - -74. Suppose 5*v - 4*n - 3900 = -1157, -k*n = -4*v + 2189. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**5 + 695698*t**4 - 60469189008*t**3 - 5266147750912*t**2 + 5326616244224*t = 0.\nAnswer: -88, 0, 1, 173968","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/8, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + (-29 - 45 - -20)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**3 - x - 9. Let w be m(7). Suppose -3*c + w = 2*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -11508.\nAnswer: 5\/11508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*v = -119*v + 4*r - 28, -31 = v - 3*r for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/43 (b) 2.4 (c) 654\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z = -326 + 200 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4*a**2 + 7*a - 4. Determine n(2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**3 - 21*p**2 + 69*p - 86. What is d(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-39)\/12 + 3 + -8 + 1855\/220. Find m such that -2\/11*m**4 + 0 + 8\/11*m**2 - n*m**3 + 8\/11*m = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 20014176 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -30*u - 473 + 96 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10548 and -0.044844.\nAnswer: -473.014512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 527885.\nAnswer: 5, 71, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d. Let h(v) = -6246291*v - 6. Determine r(h(w)).\nAnswer: 12492582*w + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -12*n - 2. Let h(x) = 11*x + 1. Calculate 4*h(d) + 3*z(d).\nAnswer: 8*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + -2 - (-5 + 1). Let h be m + (-2 + 3 - 3). Let s be (h - -5)*(-6)\/102. Which is bigger: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c0 + 23477?\nAnswer: 23397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*o + g, 3*g + 2*g = o + 28. Let q = 7 + o. Find the third derivative of 4*c**4 - 7*c**q + 6*c**5 - 2*c**2 + 3*c**4 wrt c.\nAnswer: 360*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 209434379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (133\/(-4))\/(-7) + (-3)\/4. Suppose -d*n = -6*n + m - 1, -4*n + 5 = 5*m. Solve n*l - 2*l - 2 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41099*r**2 + 20579*r**2 + 20550*r**2.\nAnswer: 30*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52 - -56. Put l, -0.1, 1\/3 in descending order.\nAnswer: l, 1\/3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 10*h**2 + 71*h + 74. Let w be s(-6). Let t(k) = -2*k**3 + 17*k**2 - 10*k + 17. Give t(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 2344?\nAnswer: 2341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3630)*1)\/(sqrt(90)*-4)*6.\nAnswer: -11*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by (-3874)\/(-130) - (-1)\/5.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 4.02. Let u = q - 0.28. Which is the second smallest value? (a) u (b) 0.5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -600 = -5*x - 5. Suppose 2112 = -9*p + 21*p. Let a = p + -159. What is the greatest common divisor of a and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -3*c**6\/20 + c**5\/60 + 5*c**4\/2 - 9*c**2 + c. What is the second derivative of g(h) wrt h?\nAnswer: -108*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318445031.\nAnswer: 318445031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8077616903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 11*n + 36. Let s be d(22). What is the units digit of s + ((-4)\/8)\/(-1)*8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10101 (base 2) to base 7\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q + 11 - q - 16*q**3 + 4*q.\nAnswer: -16*q**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001930081 to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29590682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -38974.189 to the nearest 1000.\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12542262 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is (-3364)\/(-986)*102\/12?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 69 = 5*p - 6, 4*t + p - 61 = 0. Suppose 0*l + 5 = l. Suppose -l*u = 3*z - 0*z + 2, t = -4*z. Sort -5\/4, -5, u in increasing order.\nAnswer: -5, -5\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (14\/(-6) - -3)*-6. Let x be 2\/4 - (-2)\/j. Solve -u + 2 = -x*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22122.95355 - -0.2.\nAnswer: -22122.75355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -17*231\/(-561) + (-837)\/(-1). Calculate the highest common factor of 8 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/12 - 4*t**2\/3 - 64*t\/3 + 1024\/3.\nAnswer: (t - 16)**2*(t + 16)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100 and 20?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 3*f - 82, 5*q + 37 + 21 = 2*f. Suppose -29*g + f*g - 125 = 0. Let n = -25 - g. Is -3\/20 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**4 + 290*z**3 - 11696*z**2 + 83232*z = 0.\nAnswer: 0, 9, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 107 by 107.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1210666 is divided by 302666.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69.105006 - 69.185. Let i = -0.6 - -0.68. Let w = l + i. Round w to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 34515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 5. Let m = -4 - o. Let g be (0 + 8\/(-6) + 3)*3. Is m less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 10*b**3 - 2*b**2 + 2*b - 1. Let a be u(1). Suppose -3 = 3*g - a. Is (-2649)\/(-8) + (g - (-85)\/(-40)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-8) + 1\/2. Suppose -4*j - 16 = -0*j. What is the nearest to i in j, 1\/3, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a - 2*v - 0*v + 6, -10 = -3*a + 4*v for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/1480 and -137\/1332?\nAnswer: 13320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*c**2 + 22*c**2 + 2*c**3 + 7 to n*c + o + p*c**2 + b*c**3 and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -51424, -0.1, 1\/7, 4, 0, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of c**4\/3 - 6*c + 1. Let y(o) be the first derivative of p(o). Let l(w) = w. What is y(l(i))?\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.87 - -6.94. Let h = g + 1.93. Which is the nearest to -3? (a) h (b) 20 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5219235\/8 + 652405. Let -x*p**3 + 0 + 0*p - 1\/8*p**2 = 0. What is p?\nAnswer: -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*n + 41*n - 11 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23159 + -23159. Let m(g) be the second derivative of l*g**2 + 0*g**3 - 1\/4*g**4 + 0 + 11*g. Let s(p) = 12*p. Determine m(s(o)).\nAnswer: -432*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1005413 (base 7) to base 11\nAnswer: 81920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 11*x + 31. Let f(w) be the third derivative of w**4\/12 - w**3 - 10*w**2. Let y(c) = 33*f(c) + 6*q(c). What is the derivative of y(s) wrt s?\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3647 (base 9) to base 3.\nAnswer: -10201121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 300144007 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 3 - (-8 - (-8 + 1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1116 divide 116402148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230*k - g = -227*k - 15, -g = -k - 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a decade in months?\nAnswer: 744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 d when two letters picked without replacement from tdttttdtddtd.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 16*a + 83. Let q be k(-4). Solve -3*m = -q - 9 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o. Let f = 14 + -16. Let y be ((-5)\/2)\/(1\/f). Suppose -2*n = -4*u - 9 - y, 2*n + 22 = -5*u. Calculate w(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - 4, 3*v + 16 = -0*v + w for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -18840*s**2 - 179633892 + 179633892. Let r(d) = 2*d. What is l(r(k))?\nAnswer: -75360*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1829*n - 130776 = -4575 for n.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -3, 5, 2 in descending order.\nAnswer: 5, 4, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 10. Let i(j) be the third derivative of -j**3\/6 + 22*j**2. Let n(k) = 5*i(k) - q(k). What is the units digit of n(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37795357 to the power of 1\/2, to the nearest integer?\nAnswer: 6148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 31 = 3*l, 0 = -5*l + 5*u - 13 + 123. What is the remainder when l is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 25*q + 1. What is the units digit of a(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 7a?\nAnswer: -7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 35.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2601*b - 2602*b + j + 19 = -0*j, 0 = -b + 5*j + 15 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -1303*h**4 + 5724*h + 1933. What is the first derivative of t(z) wrt z?\nAnswer: -15636*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159006 a multiple of 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -732 + 732 = -3*j + s, 3*s + 7 = 5*j - s - 7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9858 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilometer in centimeters?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -131 - 674*d**3 - 426 - 10*d + 10*d - 138*d**3 wrt d?\nAnswer: -2436*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -3\/10, 11?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39066, 78139, 117212?\nAnswer: 156285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4743 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 5:17 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k + 32. Let o be m(-26). What is the greatest common factor of o and 258?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1062799 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -4, -0.03, -2\/153, 1\/4 in increasing order.\nAnswer: -4, -3, -0.03, -2\/153, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -7 - 47. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -277 + 281. Suppose -5*w = -3*n + 7*n - 20, 5*w - 20 = -n. Which is the third smallest value? (a) 11 (b) -2 (c) r (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9115*l - 854 = -9054*l, 4*x - 3*l - l - 57 = 15 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 8*c + 12. Give j(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -212, -283, -52, 631, 1916?\n\"Answer: 25*l**3 + l**2 - 249*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1148356?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, g: 1, o: 11}. What is prob of picking 1 o and 1 i?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -c**4\/4 - 14*c**3\/3 - 10*c**2 - 5*c - 31. Let n be u(-9). Let r = n - -767. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35808.7 rounded to the nearest 100?\nAnswer: 35800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62623873\/203 - 308491. Is 0 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -2*x**3\/3 - 4*x. Let o(b) = 4*b**2. What is z(o(j))?\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46236 divided by 23118.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -56*p + 60*p + 13, 0 = 3*p + 6. Suppose 0 = -4*z + 2*z + 2. Which is the closest to 1? (a) v (b) -0.1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 3:26 PM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 p when three letters picked without replacement from {p: 5, n: 1, l: 9, e: 2, i: 1}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -836 = -12*n + 8*n. Let m be 1\/(-6) + n\/66. Which is smaller: 8\/5 or m?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 8, h: 4, t: 2, i: 2, v: 1, w: 2}. Give prob of picking 1 h and 1 v.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2513705, 5027412, 7541119, 10054826, 12568533?\n\"Answer: 2513707*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -0*t - 3*t + 13, 5*t - 3*f = 3. Let r = 0 + t. Solve -r*v - 22 = -7 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - l + 29 = 0, -l - 4*l + 25 = 0. Let n be ((-32)\/g)\/(2\/(-6)). Suppose 11*f = n*f. Solve 2*r - 4 = f, -2*m - 8 = -5*r + 8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5413*d*o**3 - 2336*d + 767*o**3 - 2377*o**2 wrt o.\nAnswer: 32478*d + 4602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/8 and (-9*1010\/(-840))\/(6\/(-4)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*k + 2 - 2)*(5047 - 2501 + 3*k - 2624) to r*k**2 + i*k + q and give r.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 119040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -316 and 12.03?\nAnswer: -3801.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9548 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h - 1. Let t be d(-3). Suppose 51 = 5*b - 3*m - 51, 2*b + t*m - 28 = 0. Let s be 25 + 2\/4*4. Calculate the greatest common divisor of s and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -9*f + 93. Let i = -255 + 261. What is the remainder when 112 is divided by l(i)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31057472 is divided by 10352481.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u - 3*u + u)*(6 - 10 - 6)*(4*u + 0*u - 2*u)*(3*u + 9*u + u + u - 3*u + u + (u + 3*u - 6*u)*(1 - 1 + 1)) to k*u**3 + t*u + q*u**2 + x and give k.\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1116?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**4*d\/(d\/(d*(d*d**(1\/7)*d*d)\/d)))\/(d**(3\/2)*d**9) assuming d is positive.\nAnswer: d**(-33\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4233317 - -32?\nAnswer: -4233265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -300158 * -0.2781.\nAnswer: 83473.9398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -113*v + 112*v - 29, -4*v + 2*z - 6 = 0. Which is the closest to -0.3? (a) 1\/10 (b) 1\/8 (c) v (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 17*b**2 - 16*b - 13. Does 11 divide q(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -154583 and 0.7?\nAnswer: 154583.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 4*o + 3. Let p(i) = -2*i**3 + 10*i**2 + 6*i + 10. Let w be p(6). Let r be ((-30)\/w - 1) + (-392)\/182. Calculate t(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b + 2*b - 6*b + (-b + b - 2*b)*(0 + 0 - 3) - b + b - 2*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 19 (b) -3 (c) -4\/9 (d) -14 (e) 73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -871001, -1742038, -2613105, -3484208, -4355353, -5226546, -6097793, -6969100?\n\"Answer: -k**3 - 9*k**2 - 871003*k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 41 + -74.1794771\nAnswer: -33.1794771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**5\/2 - 3*a**4\/2 - 6*a**3 + 6*a**2 = 0. Calculate a.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44856, -44865, -44872, -44877, -44880, -44881?\nAnswer: -44880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7025.\nAnswer: 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 4*w**2 + 4*w + 6. Let j be k(5). Let p be 3\/(-9)*-6*j. Suppose -5*b + 24 + 16 = 0. Solve -b = p*a - a - 2*o, 2*o - 12 = -a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 8, -26, 5, -3, 33 in decreasing order.\nAnswer: 33, 8, 5, 4, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2. Let s(v) be the second derivative of 1757*v**3\/6 + 2*v + 562. Calculate s(u(h)).\nAnswer: -3514*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6261 + 6263. Factor 3\/2*i**4 - 3\/2*i**b + 0*i**3 + 0 + 0*i.\nAnswer: 3*i**2*(i - 1)*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g - 51. Let m(y) be the first derivative of -y**3 + 145. Give m(j(f)).\nAnswer: -12*f**2 + 612*f - 7803","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -24?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 92661339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - ((-2)\/(-4) - 3\/6). Suppose -3*n = 5*x + 2*n - 10, x + 2*n = o. What is the smallest common multiple of x and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 17 - 3*i**2 - 17. Let r(b) = 7*b. Give s(r(f)).\nAnswer: -147*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*s - 2*s - 98 + 14 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 - 1. Let u = -48 + b. Let f be 0 + (-4)\/30 + u\/(-45). Solve -l - 3*h = 15, h + f = 2*l - 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/(70\/32)*-5. Let r = -14 - w. What is the first derivative of r - 15*m - 17*m + 27*m wrt m?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 130 and 1264380.\nAnswer: 1264380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/2192646 and 121\/18?\nAnswer: 6577938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 7*o = -33. What is the second derivative of 6 - 47*m**4 + 6*m + 45*m**4 - 33*m**o + 8*m - 3*m wrt m?\nAnswer: -24*m**2 - 198*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**5 + 54*m**4 - 243*m**3 = 0. Calculate m.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 1. Suppose -2*f + 5*c = 15, -5*c - 60 = 4*f - f. Let b be ((-4)\/f)\/(13\/(-39)). Sort b, o, 2\/9.\nAnswer: b, o, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 3. Solve -c*a - 18 = -o, -2*a = -6*a - 4*o for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/38 - 24\/(-7296)*196. Let y = 29\/14 + -11\/7. What is the nearest to y in -2\/17, -2\/65, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -54976252*u**2 + 37695271 with respect to u.\nAnswer: -109952504*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 4*k + 7. Let x be 46\/(-10) - 16\/40. Let t be g(x). Solve t*r = 7*r + 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 36 - 76 = 0. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 21\/(-1)*(-21 + 7 - 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 602. Let d(j) = -4571*j. Calculate v(d(s)).\nAnswer: 20894041*s**2 - 602","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s + 24. Let y be v(-11). Suppose 95 = y*w - 579. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 0. Let q = 227\/687 - -2\/687. Sort q, g, 0.2 in decreasing order.\nAnswer: g, q, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -cb281?\nAnswer: cb279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*t = -14 + 98 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-1 + sqrt(11))**2 + 1 - -2*sqrt(539))*-6.\nAnswer: -72*sqrt(11) - 83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -2. Let l be 2 - (s + 2\/5). Suppose 5*x - 2*h = -0*x + 3, 3*h + 14 = -2*x. Which is smaller: l or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.127 + 4.127. Suppose 12*l - 46 + 82 = 0. Which is the closest to -0.6? (a) k (b) l (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 87\/2 of a litre?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**3 - 2*r**2 - 4*r + 3. Calculate j(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ron when three letters picked without replacement from {l: 5, r: 2, n: 7, o: 2, s: 2}.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*h**2 + 33*h**2 - 23*h**2.\nAnswer: 63*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 120*w**3 + 3*w**4 + 12 + 3*w**2 - 3 - 115*w**3 wrt w?\nAnswer: 72*w + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0894112 minus 14945?\nAnswer: -14945.0894112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**6*k**(2\/5))\/(k**(-6\/5)\/(k*k**(-9))) assuming k is positive.\nAnswer: k**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*m**2 - m**2 + 6*m**2)*((5*m - 3*m - 4*m)*(-243*m + 12*m + 119*m) - 2 - 3*m**2 + 3*m**2 - m**2) as r + c*m**4 + o*m**2 + u*m**3 + h*m and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-2) + (-10)\/(-28). Let n = -2082 + 2080. What is the nearest to g in -1, 2\/13, n?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g - 13. Let n be p(-12). Let l(h) = 5*h. Let f(t) = t. Determine n*l(w) + 4*f(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 170 + 29. What is the remainder when s is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 237, 1031, 2349, 4185, 6533, 9387, 12741?\n\"Answer: -u**3 + 268*u**2 - 3*u - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67007594.\nAnswer: 2, 367, 91291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h + 0*h + 9*h + ((-h - 4*h + 3*h)*(-3 + 0 + 5) - 2*h + h + 0*h - 5 + 5 - 8*h)*(-3 + 3 - 1) - 2*h + 0*h - 6*h.\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.8 - 2.8. What is the second biggest value in 2\/21, i, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p. Let v(o) = -20 + o + 20. Calculate v(y(u)).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-4))\/(7\/(-2)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3045*w**2 + 52*w + 26 wrt w.\nAnswer: 6090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 92\/11 + -883\/99. Which is bigger: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 46. Suppose -9 + 3 = 3*s. Let j = s + 2. Is z(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33937894425 plus 0.3?\nAnswer: -33937894424.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*s**3 - 5175934*s**2 - 3303455*s wrt s?\nAnswer: -12*s - 10351868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 2117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7277, -29123, -65547, -116555, -182153, -262347, -357143?\nAnswer: -466547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 2*z**2 - 3*z + 1. Calculate g(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 8, o: 2, b: 4, s: 2, r: 3, u: 1}. Give prob of picking 1 u and 2 b.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 519 > 519?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*g + 527920 = -617633 + 154266. List the prime factors of g.\nAnswer: 3, 17, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169595814 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 960.495 to 0 dps.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or 12556.7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -503 - -744. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*p + 31*p - 19*p - 7 - 2 to q*p + y and give q.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -900 - -1282. Let u = d + -317. Is u a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2618, 2077, 1524, 953, 358, -267?\nAnswer: -928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.767, -1.\nAnswer: -1, -0.4, 0.767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*x - 8470*x**3 + 1 - 102*x + 8468*x**3)*(-64 + x + 64).\nAnswer: -2*x**4 - 153*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**4 + 0*v**4 + 0*v**4 + (-9 + 9 - 5*v)*(v**3 - 4*v**3 + 4*v**3) + (3*v**2 - v**2 + 0*v**2)*(2*v**2 + 0*v**2 + 0*v**2) - 4*v**3 + 4*v**3 + v**4.\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 189*f**2 + 4*f + 1409 wrt f.\nAnswer: 378*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8 - ((3 - (-8 - -1)) + 5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000047946059 to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + -9. Let u = o - -38. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1300.38 + -1300. Which is the closest to m? (a) 1 (b) -2\/9 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 37647 = 4*r - 97513, -5*g - 3*r + 168940 = 0. What are the prime factors of g?\nAnswer: 5, 29, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371937 is divided by 360?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 437 - 280. What are the prime factors of t?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -84 + 88. Suppose n - 22 = -o*f, 5*f = n + 26 + 6. Suppose 15 + 16 = 3*a + 5*v, -2*v = 3*a - 25. Calculate the remainder when a is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-5)\/30*-3.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -d**4\/12 + 6*d**3 - 21*d**2. Let k be o(17). Factor 9*p**2 + k + 322*p**4 - 9*p - 5*p**3 + 2*p - 321*p**4.\nAnswer: (p - 2)*(p - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 839 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q - 4*q - 100 = 0. Calculate the remainder when 12 is divided by -1 + 58\/q - 4\/(-20).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-63)\/(-84))\/((-4)\/((-240)\/3))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 11:59 AM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*d + 1284 = 228. Solve 2*w - 21*z - 6 = -d*z, -10 = 2*w - 5*z for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, -10, 9 in descending order.\nAnswer: 62, 9, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + j + 68 = 77, 0 = 4*j + 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 557561 to the power of 1\/2, to the nearest integer?\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5640691.\nAnswer: 7, 433, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 9:40 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -29 - (1361 - 1310)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide (4\/6)\/(32\/29472) + 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/7*t**3 + 1\/7*t**5 + 1\/7*t**4 + 0*t - 1\/7*t**2 + 0 = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11629 is divided by 580.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -27970 - -90792362\nAnswer: 90764392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*p + 455 + 624 = -1090 + 155 for p.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 6:12 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 195268500 a multiple of 4500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of l**4\/12 - 2*l**3\/3 - l**2\/6 + 2*l - 129. Factor u(b).\nAnswer: (b - 6)*(b - 1)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.079343738 less than 78?\nAnswer: 78.079343738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-1)*a)\/a*a*a)\/a**(-7))\/(a**(-1)\/a)**21*a*a**7*a**(-1)*a**(-4)\/(a\/(a\/(a*(a*a\/a**(-1))\/a))) assuming a is positive.\nAnswer: a**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 244820?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6 + -7)\/((-2)\/4). Suppose -13*x + 3*x + 297 = x. Let f = 0 + 5. Sort f, a, x in increasing order.\nAnswer: a, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3, -6, -27, -66, -129?\n\"Answer: -o**3 - 2*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 104, 113, 122?\n\"Answer: 9*l + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5831*w**5 + 603*w**4 + w**3 + 6*w**2 - 761*w + 560?\nAnswer: 349860*w**2 + 14472*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9087870*d**2 + 2*d - 12493239?\nAnswer: -18175740*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3\/(636\/208 - (8 + -5)) is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 269*x**2 + 11*x**3 - 269*x**2 - 5*x**3 + 48*x**3.\nAnswer: 54*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4 + 11 = 0. Suppose j*y - 5 - 10 = 0. Solve -6 = 5*d - 4*a, 0 = 5*d + 5*a - 25 - y for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.2 (b) -6 (c) -5\/4 (d) 0.04 (e) 3\/3688\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 7*p + 1. Let d = 6 + -10. Let c be 17\/2 + 6\/d. Let k be o(c). Solve u + 4*h + 5 = -k, 5*h + 10 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12694 + 12695.2. Which is the closest to -0.1? (a) t (b) 0 (c) -1\/4 (d) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 261 minutes before 7:34 PM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**4 + 4*j**2 - 4*j**2)*(3 - 2*j - 3) - 152600*j**4 + 163*j**5 + 152600*j**4 + j**5 + 2*j**5 - j**5.\nAnswer: 167*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6*(21\/24)\/7\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2 - 159*i + 329*i + 273*i + 752*i + 206*i. Is n(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 2*g - 3*k = 6, -5*g + 2*k = -25 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -267.1 + 273. Let o = 2.9 - b. What is the biggest value in -3\/4, o, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 6. Let w(h) = -3*h**2 - 17. Let y(r) = -17*u(r) - 6*w(r). Let j be y(-2). Suppose 0 = b + 2, 0 = j*z - b - 3 - 7. Solve -3*d = -d - z for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 2*w**2 + 3*w - 1. Let t be g(3). Let o be (-1*4)\/(t\/(-4)). Let v = -10 - o. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34472440.\nAnswer: 2, 5, 79, 10909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**12\/j*j*j*j*j*(j\/(j**(-1\/2)*j))\/j*j*j*(j*j\/j**(-1\/22)*j)\/j**16 assuming j is positive.\nAnswer: j**(50\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11100101 (base 2) to base 16\nAnswer: e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5753584.\nAnswer: 2, 359599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 4*g - 32 = 0, -6*f + 123*g = 125*g - 166 for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 0*k - 3 = 3*k, -8 = -5*i + 4*k. Suppose -2*a + 2*s + 233 = 7, -4*a - i*s = -468. Calculate the remainder when a is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a hour in seconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14.9 + -14.727. Which is bigger: -0.3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/5 + 24042*c\/5 + 24044\/5.\nAnswer: -2*(c - 12022)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - 4*c = 9*k + 55, 0 = -2*c - 1369 + 1373 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1313 rounded to 2 decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -823.2805631 to the nearest 10.\nAnswer: -820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/(-1) + (1 - -6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -0.6. Let j = p - -1.385. Let b = 0.062 - j. What is b rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1867 - 1866.9. What is the second biggest value in 39, 5, n, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**2\/8 - 50329*f\/4 - 50331 = 0. What is f?\nAnswer: -4, 100662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 3*c + 2*c - 3*i, i = -2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 313\/3 + 14\/(-42). Calculate the greatest common divisor of 8 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -21*c - 75 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -451.9 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjurjkkjajjjrkjjzjj. Give prob of picking 1 k and 1 z.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)\/sqrt(3) + sqrt(48) + sqrt(48))\/sqrt(8))\/(sqrt(2) + sqrt(288) + 2*sqrt(288) + sqrt(288)).\nAnswer: 3*sqrt(3)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y + 296. Does 34 divide l(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 0.2 (c) -73224\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*o + 623 = -2050 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of a**4\/12 - a**3\/3 - 5*a**2\/2 + a. Suppose 86*r - 81*r = 4*s + 33, -5*r - 2*s = -21. Determine v(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-17 - -9) + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -3*c + 2*n - 27, 0 = c - 48*n + 89 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1104 - -1103. Which is the nearest to s? (a) -1 (b) -2.5 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5323613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**2 + 18*z. Calculate a(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*f - 2772 = -150*f. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1188.3 - 848.77. Let v = -429 - -767. Let w = g - v. Round w to 1 decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 32a?\nAnswer: -329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.892 - 75.808. Let v = s + 80. Let d = -1.8 + v. Which is the nearest to 2? (a) 3 (b) -3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -226, -1\/3, -2, 53, 2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/4)\/(1\/(-4))*(-816)\/(-714)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 26*u**2 + 84*u - 38. What is the remainder when 185 is divided by n(-29)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5600213*t + 20027251 wrt t?\nAnswer: 5600213","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4158 is divided by 59.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 684 by 228.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) 2\/5 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -159.76958?\nAnswer: -15.976958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**4*o\/(o*o**(-4)))\/(o**(-9)*o\/o**(-2\/13)))\/(((o\/((o*o**(1\/12)\/o*o)\/o))\/o*o**(-4\/9))\/((o\/(o\/(o\/(o\/o**9))))\/o**(-6))) assuming o is positive.\nAnswer: o**(14683\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 11*y + 25. Let t be p(8). What are the prime factors of (-724)\/(-3) + t + (-4)\/3?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1607420719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5*-2.553713\nAnswer: 12.768565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 25300999935 and 549.\nAnswer: 25301000484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-39)\/(-9) - 1\/3. Suppose -3*x + n = -11. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(475)*-1 + -4.\nAnswer: -5*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pxjjppxp. What is prob of picking 1 p and 1 j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 24 = -5. Suppose 4*x - 2*x - 74 = 0. What is the remainder when x is divided by u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*y + 425 = -11*y. Suppose 2*u = 7 + 23. Calculate the remainder when y is divided by (-6)\/u - 74\/(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - (-4)\/4*5. Let z be (f\/(-10) - 0)*-1. Let g = z - 19\/20. Which is the third biggest value? (a) -5\/6 (b) g (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 6 + (9 - 7) + (-28 - -29)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1222415256 rounded to five dps?\nAnswer: -0.12224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -r**5\/20 - r**4\/4 + 2*r**3\/3 + 3*r**2\/2 + 2*r. Let a be d(-4). Solve a*m - 6 = b, -2*b = -m + 3*m + 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, 980, 18, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -42.9113 to one decimal place.\nAnswer: -42.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36653?\nAnswer: 36653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 8*v - 1106 = -218*o, -v - 3*o + 4*o - 9 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -467*i + 6. Let t be x(-5). Let p = t - 37549\/16. Calculate the common denominator of p and ((-9)\/6)\/((-2)\/66).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*r = 6*o + 1, 28 = -2*o + 4*r. Let d be o\/6 + (-70)\/(-15). Solve 5*h = -3*c + h + 1, 16 = d*h for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -7*x + 21*x + 1 - 2*x + 4*x + 31*x. Let s(c) = 7*c. Calculate p(s(w)).\nAnswer: 329*w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuxxuxxuxxxuu. What is prob of sequence xxuu?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -4*z - 3. Suppose 13 + z = 4*g. Let a(m) = 4*m + 5*m**2 - 2*m**2 - g*m. Let x(j) = 8*j. Determine x(a(d)).\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65438 is divided by 29?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**2 + 5*g\/7 + 2\/7 = 0. What is g?\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -135042, -135036, -135028, -135018, -135006?\nAnswer: -134992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 2 - 31) + (204 - 192)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-36)\/14)\/6 + 16\/21. Put 3, c, 1\/8, 2 in descending order.\nAnswer: 3, 2, c, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-21) + 61\/(-7). Let k(f) = -1 + 2 + 0 - 4*f. What is the remainder when k(p) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 7. Suppose -4*n = x - 33, 3*n - p - 1 = 0. Let g = -5 + x. What is the highest common divisor of g and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35058780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and (-73)\/(-4) + (-1)\/4?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 n, and 2 d when four letters picked without replacement from {d: 1, b: 3, n: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*s + 1891 + 5768. Solve 4*o - 823 = -s for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -6, -4*p + 6 - 1 = t. Suppose 3*d = 4*y - 27, p*y = -0*y - 4*d - 14. Suppose 0*k + 36 = y*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(-10)*(2 + -7). Is 501\/9 - 4\/i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 267 divide 10035195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 5:40 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 6*f**2 + 225. Let g(i) = 4*i. Give l(g(x)).\nAnswer: 96*x**2 + 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47111497618.928069 + 47111472858. Let g = -24761 - c. Let h = -0.072 - g. What is h rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18885 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 235 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrwrrrrrrrrr. Give prob of sequence rr.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 3*p - 17 = -4*i, -i + 14 = 4*p. Suppose 0 = 2*b - i. Let m = 50 - 50.4. What is the third smallest value in -4, b, m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -52878?\nAnswer: -52867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 80, 116 in ascending order.\nAnswer: -8, 80, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 27 - 15\/(2 + -5). Suppose -7*j + q + 10 = 0. Let z be (-11)\/(-2) - 1\/(-2). What is the highest common factor of j and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 2*x**2 + 4*x - 4. Let h be k(3). Which is smaller: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33317904*z - 66635776*z + 33317875*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 b when two letters picked without replacement from {d: 4, b: 1, x: 1, a: 1, v: 2, n: 3}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -73 > -0.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 258 = -2*r, -r + 342 = 5*b + 2. Suppose t + 4*x - 7 = -56, -333 = 5*t - 2*x. Let j = b + t. Is 7\/9 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 4*r + 3*r)*(2 + 0 - 1) - 2*r + 3*r - 2*r + (1 - 3 + 0)*(-3*r + 3*r + r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26082, -1\/4, -4, 1, -18, -0.2.\nAnswer: -26082, -18, -4, -1\/4, -0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9687127 and -0.4.\nAnswer: -3874850.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 313.0662km?\nAnswer: 313066200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 395 and 158?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48.1 + 20.3. Let r = 30.77 + 0.23. Let m = n + r. Round m to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19425\/(-585) - -34) + 4\/13*(-9)\/6\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80\/((3\/(-2))\/((-651)\/28))?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/469611 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 89 - 85. Suppose 4*p - p = i*c - 9, 3*c - 4*p = 5. Solve 5*a = u + c*u + 20, -8 = -2*a - 5*u for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28 - -1720?\nAnswer: 1748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -273.08537971 and -0.1.\nAnswer: -273.18537971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 95*a**2 - 22 - 538*a + 541*a - 4 wrt a?\nAnswer: 190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 35285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -16*v**2 + 177*v - 11 = 0?\nAnswer: 1\/16, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*o + 68 + 7 = 0, -h - 13 = 5*o. Let f = 413\/705 + 2\/141. Let 0 - 21\/5*k**4 + 54\/5*k**3 + 24\/5*k - h*k**2 + f*k**5 = 0. Calculate k.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/((sqrt(6) - sqrt(24) - sqrt(6)) + sqrt(6)))\/(-2*sqrt(4)*1)*-6.\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 450564527?\nAnswer: 7, 149, 419, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.02 - -0.22. Let a be ((-5)\/8*-4)\/(-2). What is the closest to -2\/5 in i, a, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1008, 2001, 2974, 3915, 4812, 5653, 6426?\nAnswer: 7119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/4)\/((-74)\/(-888)). Solve -3*a + 6*j - 18 = h*j, a - 2*j + 11 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4794382, 9588764, 14383148, 19177534, 23971922, 28766312?\nAnswer: 33560704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, 425, 1405, 3339, 6551, 11365, 18105, 27095?\nAnswer: 38659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**2 + k - 6 - 5*k + 0 - 7*k. What is the units digit of n(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -44 + 4?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 328 = -8*o. Let a(b) = -6*b + b**2 + 82 - o. What is a(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 18 = -27*i + 102. Let m be 1*(3 - (-6)\/(-2)). Let y(l) = l**3 + l**2 + 3. Let q be y(m). Solve -3*b + w = -q, 5*w + 0 = i*b - 15 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1362 or -1339?\nAnswer: -1362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -134*j + 361. Calculate z(3).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 2:42 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1864 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: Suppose -3*u + 5*u = 0. Let n(p) be the third derivative of p**2 + u*p**3 + 0*p + 0 + 0*p**4 + 1\/30*p**5. Let k(i) = i**2. Give k(n(b)).\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 81 + -166. Let m = -40 - i. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1577136 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.112 or 1\/4?\nAnswer: 0.112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 57*t. Let x(n) = -12290*n + 2. Calculate x(a(i)).\nAnswer: -700530*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -1351802 and 0.25 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111 - -122?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + -5 - (536 + -2 - -4). Let w = -537 - u. Suppose -4*b - 20 = 0, b - 5 + 1 = -3*a. Solve -5*x + 3 = -x - 3*z, 3*z = w*x - a for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus -11731?\nAnswer: -11729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -37649\nAnswer: 150596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cvtcvcbbt. Give prob of sequence tvt.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -46 (b) 0.3 (c) 18\/5 (d) 261 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -25*p**3 - 3*p**2 + 4*p - 1. Let b = 35 + -15. Let c = b - 23. Is k(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230 is divided by 23?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 461\/29 + -248 + 295 + (-6 - 57)?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 33244 (base 7) to base 14\nAnswer: 3094","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71734 is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3281 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 50?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of 114*y**8\/7 - 211*y**4\/4 - y + 329. Find the third derivative of a(o) wrt o.\nAnswer: 109440*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -541221 + -22?\nAnswer: -541243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9209621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {h: 6, s: 1, o: 1, b: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1594746 is divided by 748?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102855, 102801, 102747, 102693, 102639?\nAnswer: 102585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 2*w**2 + 14*w + 17. Give z(-5).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-5 - -2 - -1). Is ((-12)\/(-10))\/(k\/295) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 437136*q**4 + 3134787.\nAnswer: 1748544*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 721 or 28165\/39?\nAnswer: 721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 a when three letters picked without replacement from {a: 2, t: 16}?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -u**5\/12 + 2*u**3\/3 + 4. Let r(s) be the third derivative of h(s). Let y(p) = 4*p**2 + 0*p**2 - 3*p**2. Determine y(r(w)).\nAnswer: 100*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 0 (c) -54 (d) -0.4 (e) 1 (f) 11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 275810 rounded to the nearest 1000?\nAnswer: 276000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1617 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 110000?\nAnswer: -110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -9. Calculate the remainder when g is divided by 2\/(-4) - (-20)\/8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 + 2. Let r = p - -23. Solve -m - 3*m - 4 = -4*o, r = 2*m - 5*o + 8 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 7*f**3 - 2222*f**2 + 967*f - 4757. What is p(317)?\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 1296, 4, 0.63, 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 2. Let r be (-1 + -2)\/(l\/28). Suppose r*y - 114 = 6. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5\/3 (b) 0.04 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -662, -669, -680, -695?\nAnswer: -714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**2 - 3*y - 3. Let s(c) = -6*c**2 + 7*c + 7. Let o(x) = -7*d(x) - 3*s(x). Let m(k) = k**2. What is m(o(j))?\nAnswer: 9*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d = -17*d + 12. Is (0 - (-4 + d)) + 52 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15891979?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 519, -4.\nAnswer: -4, 12, 519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*q + 5*q + 0*q - 4*q - q**2 wrt q?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 419 + -605. Let o = 301 + m. Let a = o - 78. What are the prime factors of a?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 558484 to the nearest integer?\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 r when three letters picked without replacement from {i: 2, r: 2, p: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d**2 - 1866*d + 58309. What is g(33)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m**2 + 2*m - 1. Let l be f(3). Let z be (-62)\/l + 18\/99. Find i, given that i**2 - i**3 + 3*i**z - 7*i**2 + 8 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) + -1 + sqrt(320) + sqrt(320) + sqrt(320) + sqrt(320) + sqrt(320))**2 + 3*2*sqrt(5))*-5 + (2*sqrt(405))\/(5*sqrt(81)).\nAnswer: -57605 + 2252*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316372541?\nAnswer: 113, 2799757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/5620 and 89\/6944.\nAnswer: 9756320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3448 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 143 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 814272.15 to the nearest one thousand.\nAnswer: 814000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5012636, -5012643, -5012650, -5012657, -5012664?\n\"Answer: -7*h - 5012629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -c**7\/1680 - 77*c**6\/480 + 49*c**4\/4 + 13*c - 1. Let f(b) be the third derivative of r(b). Find u, given that f(u) = 0.\nAnswer: -77, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (18 + -19 - (-1 + 1))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**3\/15 - 5266*y**2\/15 + 230914*y + 1156326\/5 = 0. Calculate y.\nAnswer: -1, 1317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - w**2 + 9*w - 9. Let k be i(-4). Solve k*l - 2*y - 2*y = -26, 17 = -l + 3*y for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19340, 19336, 19332, 19328?\nAnswer: 19324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n**2 - 7. Let t(g) = g**2 + 1. Suppose 4*w + 3*w = 14. Let q(v) = w*z(v) + 14*t(v). Let a(u) = -4*u**2. Calculate q(a(h)).\nAnswer: 128*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q + 3. Let d be f(4). Let g = 4711 + -4683. Calculate the highest common divisor of g and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(4000)\/sqrt(8).\nAnswer: 2 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3611544, 3611546, 3611548, 3611550, 3611552?\n\"Answer: 2*d + 3611542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1177141.\nAnswer: 7, 337, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -24*k**3 + 33*k**2 + 16*k - 93. Let u(z) = 17*z**3 - 22*z**2 - 11*z + 62. Let a(n) = -5*h(n) - 7*u(n). Determine a(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 124810990 to the nearest integer?\nAnswer: 11172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5007092 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8642 by 29.\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b + 14. Let t = -54 - -64. Let k be w(t). Solve k*q = g + 12, 3*q + 4*g + 14 = -g for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 122*u + 1063. What is the ten thousands digit of q(120)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -2. Suppose b*m = 10, -2*m + 13 = -3*j - 6*m. Let t be 2\/j*140\/30. Is t > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 86.9 + -116. Let v = -30 - x. Which is the closest to 1? (a) v (b) 0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144.3402km to meters.\nAnswer: 144340.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - 2. Suppose -3*p + 15 = 0, -2*a + 31 = 3*p - 2*p. Suppose a = 2*l - 141. What is the remainder when l is divided by h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + 16*u + 49*u - 24*u.\nAnswer: 40*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -653*i**5\/20 + 161*i**2 - 2*i + 299. Find the first derivative of u(n) wrt n.\nAnswer: -1959*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385 is divided by 355.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -2, -9, -22?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q**2 + 60*q + 2. Let w be g(-15). Suppose -11*x = -w*x + 9. Which is greater: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 280, 778, 1276, 1774?\nAnswer: 2272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) 0.5 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**0\/z)*z**(-2\/7))\/((z**(-2\/9)\/z)\/(z*z**4*z)))**(-29) assuming z is positive.\nAnswer: z**(-16327\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.1682 rounded to two dps?\nAnswer: -6.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -80, -189, -384, -689, -1128, -1725?\nAnswer: -2504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 8*i**2 - 9*i + 10. Let n be u(7). What is the units digit of n\/5 + (-4)\/(-20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/6 + 1499*g**2\/6 + 38467*g\/6 + 82979\/2.\nAnswer: (g + 13)**2*(g + 1473)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 9830\nAnswer: 2\/4915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -6 + 2. Suppose 5*w = w - 8. Let z be 3*-3*w\/9. Solve 4*g + y*d = 8, -3*g - z*d = -7*d - 19 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 333 (base 8) in base 9?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 228434*n**6 + 82*n**4 - 6*n**2 - n + 81771776 wrt n.\nAnswer: 27412080*n**3 + 1968*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 3*l + 17 = 0, 20*q + 3 = 21*q + l for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53*t**4 - 103*t**3 + 33732*t**2.\nAnswer: 1272*t - 618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4296, 3504, 2712, 1920, 1128, 336?\n\"Answer: -792*j + 5088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l - 99. Let d be r(-24). Put 0.4, -0.3, d, 2\/9 in decreasing order.\nAnswer: 0.4, 2\/9, -0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -117.08 - -112. Let a = -6 - -6.08. Let b = a + q. What is the second biggest value in b, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-51)\/2*-2*(-2)\/(-6). Let u(i) = 13*i**2 - i - 1. Let t be u(-3). What is the greatest common factor of t and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*t - 121*t = 172*t + 1070 - 26454 for t.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 17*u - 80. Let r = 9673 + -9682. Determine p(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 107 + -70. Calculate the highest common divisor of z and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 9\/5)*25\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 55 + 15 + 14 - 21*r**3.\nAnswer: -21*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 316065923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60226980 to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 - -135. Suppose -z + d = 351. Let m = z + 445. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 393, 799, 1195, 1575, 1933, 2263?\n\"Answer: -q**3 + q**2 + 410*q - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 3:29 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/5*(-770)\/14*20\/(-40).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -8456 and -8456 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -r**2\/2 - 3*r + 2. Let t be z(-10). Suppose -4*o + 45 + t = 0. Solve -p + 0*p + 7 = -y, 3*y + o = -p for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 16*u**2 - 26*u**2 + 56*u**2 to the form n*u + s*u**2 + h and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**2 + 0*w**2 - 2 - 25*w**2 - 16*w**2 in the form n*w**2 + l*w + u and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y**3 - y**2 - y + 1. Let k be s(1). Suppose -19 - 14 = k*x. Let w(f) = -f + 15. Is w(x) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/8697?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5004394573 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -107 - -188. Suppose s = 4*s - c. What is the greatest common factor of s and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-21) - (0 - (-68)\/(-14)). Suppose r - q*r + 6620 = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 0*k - 7 + 5*k**2 + 10\/3*k**3. What is the second derivative of m(d) wrt d?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b**2 + b + 2. Let o(u) = 17*u**2 + 3*u + 6. Let h = 75 - 64. Calculate h*y(c) - 4*o(c).\nAnswer: -2*c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -26164 take away 27?\nAnswer: -26191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 9 = -6*i + 5, -14 = x - 3*i for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t**3 - 7*t**2 - 13*t + 13. Let p(q) = -2*q**3 + 4*q**2 + 7*q - 7. Let z = -5 + -1. Let l(x) = z*b(x) - 11*p(x). What is l(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2980043?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z**2 + 53355*z = 0. What is z?\nAnswer: -53355, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmm when four letters picked without replacement from mmmmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 6*v**2 - 6*v + 6. Let i be o(5). Let z = -6.4 - -6. Which is the nearest to i? (a) -0.3 (b) z (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2120 + -2011200?\nAnswer: -2002010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -15*r + 14*r + 6*r. Let a(f) = f. Calculate m(a(j)).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = y + 5. What is the third biggest value in y, -1\/8, 2\/15?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 13*d**3 - 4*d**2 - 8*d + 48. What is the remainder when u(3) is divided by 51?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55.3 - -58. Let h = o + -3. Suppose 0 = -4*s - 5*l + 30, 4*s + l - 9 - 13 = 0. Which is the biggest value? (a) h (b) 1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7\/3 (b) 1\/3 (c) 2 (d) 2\/119 (e) 0.5 (f) -3\/10 (g) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 19959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*l + 463 = -191 - 94. Let y(g) = -10*g + 0 - 7 + 4*g. Let h be y(-5). Is l bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1137117?\nAnswer: 3, 379039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10\/13*f**2 + 3376\/13*f - 2022\/13 = 0. What is f?\nAnswer: 3\/5, 337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 3:08 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24488535 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/3*-3 + 3. Suppose c + n*w + 5 = 0, 5*c + 3*w - 3 = 23. Suppose -c*f = -2*f - 230. What is the remainder when f is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2 - 9*w - 16. Let f = 17 - 7. Suppose 0 = -v + f - 2. Does 9 divide x(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 11*n - 9. Let j(q) = q. Give -22*j(y) - 2*x(y).\nAnswer: 2*y**2 + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4721 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -83 + 80. Let c be (-2 - v) + -3 + 13. Suppose 5*r + 6 = 11. What is the greatest common factor of r and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -182.\nAnswer: 72.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.67101 to 1 decimal place.\nAnswer: -25.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 1037982457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 5*q + 2*q)*(0 + 1 + 1) + (-90*q + 148*q - 135*q)*(3 + 2 - 3).\nAnswer: -158*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1707.66201 to the nearest ten.\nAnswer: -1710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1142564 = 10*y + 206134. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48.3 - -48. What is the third biggest value in m, 2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) -15\/4 (c) -20 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**14))\/(y**(-2\/19)\/y)*(y**10*y*y)\/(y*y\/(y*y**6)) assuming y is positive.\nAnswer: y**(78\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 447*p + 42598. Give q(138).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25193*0.4.\nAnswer: -10077.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21826.39755 rounded to the nearest 1000?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18*a**2 - 67099*a + 13914593 wrt a?\nAnswer: 36*a - 67099","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vrleckkl. What is prob of sequence crv?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*j**2 - 2\/3*j**3 + 0*j + 0.\nAnswer: -2*j**2*(j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 65 = -5. Let j = 42 - w. Calculate the lowest common multiple of 11 and j.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1*(sqrt(108) + -1*sqrt(108)))\/(sqrt(72)\/(sqrt(32)\/sqrt(4)) + sqrt(9))*6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 50\/(-30)*2\/(-20). What is the nearest to -2\/3 in 2\/13, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.744 - 0.416. Let i = 3.16 + y. Let v = 0.02 + 1.98. Sort v, i, 4 in descending order.\nAnswer: 4, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.28 + 84.72. Let u = 85.8 - j. Put -6, 0.3, u in descending order.\nAnswer: 0.3, u, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3763455393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17337792 by -4334448.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 5 = -4, 5*j - 33 = 14*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-276)\/552)\/(-2*7\/4)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16563 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 8 - 28*m**2 + 119*m**2 + 13. Let y(l) be the third derivative of 3*l**5\/20 + l**3\/3 + 7*l**2 - 1297*l. Determine -2*c(n) + 21*y(n).\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*h**5 + 2355*h**3 + 2315\/2*h**4 - 1450*h - 3845\/2*h**2 - 210 = 0.\nAnswer: -14, -3, -2\/7, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42814 + 115121. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -191*j + 63*j + 125*j. Let g(u) = 51*u. Determine l(g(z)).\nAnswer: -153*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44 + 44 - 3*j + (-3 + 2 - 2)*(1 - 1 - 2*j) + 271*j + 3 - 341*j - 4.\nAnswer: -67*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-11)*g**(-1\/10)*g*((g\/((g*g**6)\/g)*g)\/g)**(9\/5))**29 assuming g is positive.\nAnswer: g**(-5539\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/72448 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/4, -257, 35\/9, -1\/9, -2\/19 in descending order.\nAnswer: 35\/9, -2\/19, -1\/9, -5\/4, -257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -25b3?\nAnswer: -25b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 + (-11074)\/(-113) + -137?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 422521142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*m + 194 + 126 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 20273598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -450 + 425 - (32 - 2)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-6 + 1 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4946.2 + 0.147\nAnswer: -4946.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 7*c**3 - 12*c**2 - 5*c + 115. Is 15 a factor of p(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - z + 9 = 0, -5*j + 3*z + 109 = 0. Let w be 9\/((-9)\/7) - -8. Let q be 7 - -1 - ((w - -9) + -7). Solve -q*h - 5 = j for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/8055? (a) -2\/7 (b) -0.03 (c) -3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.972 rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -576.8 and 0.04.\nAnswer: -576.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/(-9) + (-6)\/9. Let n be 155\/(-20) + r\/(-4). Let q be 1\/(0\/2 - n). What is the third biggest value in -3\/2, -1\/4, q?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 232*v - 3*v**3 + 17*v**3 + 0*v**3 - 60*v**2 - 232*v to the form o*v**3 + c + r*v + w*v**2 and give w.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -75, -150, -263, -408, -579, -770?\n\"Answer: l**3 - 25*l**2 - 7*l - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.22 - -1.52. What is the nearest to j in 5, -2\/21, -4\/5?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10720)\/1334)\/4 + 2. Let g = m + 87395\/2001. Let f = g - 44. Find the common denominator of f and -11\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -8 (c) -17.439 (d) 0.34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 14*d**2 - 24*d - 11. Let m(r) = 5*r**2 - 8*r - 4. Determine 17*m(q) - 6*n(q).\nAnswer: q**2 + 8*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -1386, 0.3, -2\/7, 5, 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k - 1. Let z(t) = -3*t. Let u = -16 - -13. Let f(n) = -10*n + 2. Let d(c) = u*f(c) + 12*z(c). Suppose o = -o - 2. Give o*d(w) + 5*m(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -5, 4, 15, 2.\nAnswer: -15, -5, 2, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 2*c - 14. Let r be a(-15). Let s = 359 - r. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.58556 rounded to 3 decimal places?\nAnswer: 0.586","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/15460 and -149\/102036?\nAnswer: 510180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 257783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/3 + (242 - (-5 - -11)). Suppose u - x = -87. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 40*r**3 - 2*r**2 + r. What are the prime factors of c(1)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -64*u + 2. Let y(v) = v**2 - 2*v + 3. Let p be y(3). Let n be t(p). Is (4 + -2)\/((-4)\/n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 1) + 4 - 2. Let s be 106 + -15 + (-45)\/3. What is the first derivative of -h + 56*f + 41*f - s*f wrt f?\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 27*o - 37*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**3 - 33*t**2 - 18*t + 130. What is the hundreds digit of x(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -52 - 4?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -6*x**2 + 8*x - 21. Let l(q) = -7*q + 59 + 0*q**2 + 5*q**2 - 37. Let m(s) = -3*j(s) - 2*l(s). Is m(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -0*u - 20. Suppose 4*y - 3 = 5*c + 5, 0 = u*c + 4*y - 8. Let v be 5\/(2 + 3)*(1 - c). Solve 0*a - v = a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*r = -105, -2*f + 4*r = -7*f + 105. Suppose -18 = -5*t + 2. Suppose t = -d + f. Is 17 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68220 and 486260?\nAnswer: 1658632860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*u - 2*u + u)*(-3 + 4 + 0)*(5*u + 3*u - 5*u) in the form o*u + c + j*u**2 and give j.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 11*m**2 + 13*m - 3. Let s be p(-12). Let w be (-4)\/(-10) + (-24)\/s. Solve 0 = -c - 0 + w for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*i**5 + 29557907*i**4 - 152582472*i?\nAnswer: 80*i**3 + 354694884*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -h + 5. Let k = -8 - h. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -1519*p**2. Let n(y) = 86*y**2. What is n(i(v))?\nAnswer: 198433046*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 0) + (-18 - 899\/(-124)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20922312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - 5 - (7 + -16)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*q**4 + 55*q**3 + 540*q**2 + 380*q - 400 = 0.\nAnswer: -2, 4\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o - 1479*b + 1474*b - 117, 4*o - 5*b = 111 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**5 - 4*m**4 + 4*m**4)*(17 + 11 - 4).\nAnswer: -48*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c + 1 + 11*c**2 - c**3 + 3*c - 7. Let y be p(11). Suppose 13 = y*h + 3, -2*b = h + 6. Put b, 4, 2 in decreasing order.\nAnswer: 4, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -5*v - 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*v = 0. Suppose 0 = -5*a + 10 + 10, v = 2*o - a - 212. What is o rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 6*i**3 + 17*i**2 + 4*i. Let g be d(-4). Let s = -77 - g. Calculate the remainder when s is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1359.039515 to the nearest integer.\nAnswer: -1359","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -10023\/3671 equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2170 + 2380. What is the remainder when 642 is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -629066 or -628947?\nAnswer: -628947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1949, -1968, -1989, -2012?\nAnswer: -2037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zzfzzfzzffzzzzzf.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r - 2190 = -1119. Let h be 104 - 3\/((-6)\/2). What is the greatest common factor of r and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 97209?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 2*c**2 - 6*c + 5. Suppose -5*q - 205 = j, 4*j + 27 = 7. Let d = q + 64. Calculate the remainder when d is divided by h(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**3*f)**21\/(f*f**(-6)*f**3) assuming f is positive.\nAnswer: f**86","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jbbo when four letters picked without replacement from bbbbbjobowbj?\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -155, -134, -113?\n\"Answer: 21*o - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.201 - -0.099. Let n be (4 + -2)\/(11*1). Put j, n, 1 in decreasing order.\nAnswer: 1, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7423042l in millilitres?\nAnswer: 742.3042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 (base 10) in base 9?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229060?\nAnswer: 2, 5, 13, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {l: 6, i: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 8\/7 (c) 1\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 + -68. Let c = -30 - g. Let z = -2 - -2.1. Which is smaller: c or z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4*j + 4*s = 30, 4*j = -2*s + 40. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (0 + -2 + -6 - -10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10003 - 120320?\nAnswer: -110311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (7908\/1290 - 6)*-1 and 121\/10.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2804081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-171)\/(-63) + 4 + -7 + 0. Which is the third smallest value? (a) -2 (b) -3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, 478, -4, 5, -7, 3 in ascending order.\nAnswer: -7, -4, -1, 3, 5, 6, 478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 102\/(-8)*14\/30 and 67\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + 0)*1 + -8. Let s be 6\/(-1) - (-10 - x). Find the common denominator of 2 - ((-21)\/10)\/s and 1\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 7:46 PM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 - 127 = -3*t + 4*r, 5*r + 46 = -3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4425009018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 6:47 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -26*v - 24. What is the hundreds digit of w(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (16\/3 - 0)\/((-4)\/(-6)). Suppose 3*a = -15, 5 = -o*d + 3*d + 3*a. Calculate the lowest common multiple of d\/20 - 52\/(-10) and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-120))\/(61\/549)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3498 - 901 = 95*w - 348 for w.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 258566272 a multiple of 420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04968 + -0.05548. Round t to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -10. Let h(u) = -11 - 4*u**2 + u**s + 11. Let c(y) = 2*y. Calculate h(c(d)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -79671*v**5 + 550*v**3 - 8398479*v**2 - 10*v?\nAnswer: -4780260*v**2 + 3300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -153, -3, -260?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (30\/(-8))\/5 + 44612\/(-16). Let i = m + 4285. Suppose 2*z - 10*z = -i. List the prime factors of z.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 46\/3545?\nAnswer: 46\/3545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244 - 2474*w + 244.\nAnswer: -2474*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 69\/2 of a year?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - 2) + (-14)\/36. Let f = o - 1\/9. What is the second smallest value in 0.4, f, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2951.61 - 2951.9. What is the biggest value in y, -0.5, 2\/9, -0.3, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + s - 5, -5 = -2*s + 5. Let z = 3869\/15444 + -2\/3861. Solve 0*b + x*b**2 + 0 - 1\/4*b**3 + z*b**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a kilometer in meters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -81076721\/189 + 2998480\/7. Let y = o - -623. What is the second biggest value in 0, -9, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -355, -695, -1059, -1453, -1883?\nAnswer: -2355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 252*m**2 - 3. Let i(y) = -179*y. Determine h(i(g)).\nAnswer: 8074332*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5607)\/3471)\/(210\/(-195)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*d - 887, 4*d + 3*f - 888 = -f. Calculate the greatest common factor of 832 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 11) to base 2\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4114*x - 76. Let u(o) = -6171*o + 119. Calculate -11*m(b) - 7*u(b).\nAnswer: -2057*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 5) to base 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of q**4\/24 + q**3\/6 + q**2. Let i(z) = -2*z**3 + 3*z**2 - z - 1. Let v be i(3). Let d = v - -29. What is p(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 8:13 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 3*z**4 - z + z**2 - 9*z**3 - 6*z**4 - 3*z**3 - 5*z**4 + 12*z**4 as m*z + p + n*z**3 + q*z**4 + i*z**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 76168.37m in millimeters?\nAnswer: 76168370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (1\/(-1) + -54). Let o = f + -549\/10. Let v = o + 71\/40. Calculate the common denominator of v and -14\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + i + 5 + 2*i**3 + 0*i**3 - 2*i**3. Determine r(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -250948, -250955, -250950, -250927, -250880?\nAnswer: -250803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**4\/2 - 34*v**3 + 637*v**2\/2 - 285*v = 0. What is v?\nAnswer: 0, 1, 10, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 38*l - 870. Calculate the remainder when f(29) is divided by 74.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*i + 10 - 130 = 0, 0 = -3*i - 3. Let h = -21 - n. Factor 5*b**2 - 3*b**2 - h*b**3 - 2*b**3.\nAnswer: -2*b**2*(5*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.5 - -2.5. Let i = -1197 + 14389\/12. Let v = -11\/4 + i. Which is the second biggest value? (a) 1\/6 (b) v (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 9*r**5\/40 - 71*r**3\/3 + 75. Let q(u) be the third derivative of d(u). Let s(a) = -a - 6 + 14 - 8. Calculate q(s(b)).\nAnswer: -27*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 6:58 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 6*u**2 - 2*u + 6. Let s(c) = c**3 - 7*c**2 - 2*c + 7. What is 7*h(p) - 6*s(p)?\nAnswer: p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -9, -27 + 7 = -2*d - 2*v. Which is the closest to d? (a) -0.2 (b) 1 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 276*m. Let q(a) = 29*a. What is -5*b(c) + 48*q(c)?\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89985.33ms to minutes.\nAnswer: 1.4997555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 272\/(-32)*2 - -9\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/90 + (-34)\/(-30). Let y(l) = -11*l + 1. Let v(n) = n - 1. Let r(t) = i*y(t) - 2*v(t). Find the first derivative of r(u) wrt u.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -17284, -20323, -23362, -26401?\n\"Answer: -3039*k - 14245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*q = -51*q + 10647. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bnadlxnlb. Give prob of sequence ndnl.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*i**5 - 18*i**5 + 16*i**5 + (-111 + 111 + 47*i**2)*(-1 + 1 - 2*i**3).\nAnswer: -110*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + (-6)\/15)*-5. Suppose 2*u + 0*x + 4*x + 2 = 0, 3*u - p = -5*x. What is the least common multiple of u and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-22)\/44*(10 - 0). Let k(u) = -u**3 - 7*u**2 - 5*u + 8. Let w be k(-6). Suppose 30 = -w*v - 3*v. Which is bigger: n or v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 8 = 0, 5*p - 3 = q - 11. Let m be -4*-15*(3 + q). Calculate the highest common divisor of 12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*u + 133 - 14*u + 32)*(4*u - 4*u + 3*u**2).\nAnswer: 6*u**3 + 495*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3612)\/(-3440)*8\/6?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 18 + 1 - 5 - (10 + -19).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 3, -43, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 900 and 46597500.\nAnswer: 46597500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 6 - 1)*(755*m**3 + 2350*m**2 - 2350*m**2) in the form p*m**2 + n*m + y + g*m**3 and give g.\nAnswer: 2265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 + 393690\nAnswer: 393690.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*b*k**3*l**2 + 588305*b*k**3*l - 2*b*k*l + 2*k**2*l**2 - k**2 - 16*k*l + 37*k + 2*l**2 wrt k?\nAnswer: -24*b*l**2 + 3529830*b*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60458 by 3182.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - 2*z**2 - 2*z**2)*(-7*z + 4*z + 2*z) - 2*z + z**3 + 2*z + (0*z + 3*z - 2*z)*(43 - 43 + 10*z**2).\nAnswer: 14*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 + 0)*(-4*c + 2*c + 3*c) + (-4 + c + 4)*(-7 + 3 - 1) + 0*c + 2*c + 0*c + (2 - 4 - 1)*(6*c - 5*c + c) + 5 - 5 - 2*c in the form p*c + m and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s**3 - 13*s**2 - 41*s - 14. Let v be y(-9). Suppose -2*c + 4*l + 1099 = -385, -2*c + 3*l = -v. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-4 + -220)\/4)\/(-1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1680 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 1 - 2 + (2 + 1 - 4)*(248 - 116 - 27))*(-2*u + 2 - 2)*(1 - 1 - u).\nAnswer: -200*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220772.25 seconds to hours.\nAnswer: 61.325625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/6 - (-40)\/12. Let z be ((-9)\/3)\/i - 0. What is the units digit of (-2 - -7) + -1 + z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -16640*h**3 + 1201*h**2 - 7*h + 25. Let r(i) = -8319*i**3 + 601*i**2 - 4*i + 13. Let q(b) = 4*g(b) - 7*r(b). Find the third derivative of q(l) wrt l.\nAnswer: -49962","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9e (base 15) in base 12?\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-142)\/36 + 4)\/((-2)\/(-9)). Let w = 0.86 + -0.8. Sort -0.1, o, 0.7, w in decreasing order.\nAnswer: 0.7, o, w, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -506 - -50?\nAnswer: -486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47075 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-7)*s**5*s*s**(3\/8)*s*s**(2\/7) assuming s is positive.\nAnswer: s**(37\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18346 times -13587?\nAnswer: -2492.67102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 7*j**6\/15 - 29*j**2 + 55*j + 69. Let m(q) be the first derivative of i(q). What is the first derivative of m(t) wrt t?\nAnswer: 56*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 174828 a multiple of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3057*18\nAnswer: 55026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/((-72)\/(-2240))*-4. Let i(p) = 0 - 1122*p + 0 + x*p. Let n(t) be the first derivative of 4*t**2 - 1. What is n(i(q))?\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 5:14 PM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/5 + 4\/5*j**3 - 12\/5*j + 0*j**2.\nAnswer: 4*(j - 2)*(j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 - -53. Let w be 17\/(-2)*(5 - -19). Let u = w - -219. What is the highest common divisor of n and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dcddcccc. What is prob of sequence dcd?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of z**3 + 28. Let s(c) = 3*c + 2*c - 4*c. Determine f(s(v)).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 43*x**2 - 495*x - 1362. Give a(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3133 + 1801*d - 3133.\nAnswer: 1801*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a day in hours?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(36\/6)*(-49)\/(-84)*4.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1395619 + 0.11153252.\nAnswer: -1395618.88846748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-26)*2\/(-1). Let u be (-27 + 31 - 104\/32) + (1 - 1). Sort u, -0.5, -0.1, f in decreasing order.\nAnswer: u, f, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -1, -216, -2\/5, 0.4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -13*z**4\/12 - 4*z**3\/3 - 30*z**2. Differentiate d(g) wrt g.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23\/(-207)*34*5 + 20\/(-18)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 6, -2*g + 0*g + 12 = 3*n. Suppose x = -g, -x + 3*x = -j - 8. Let w(f) = -7*f**2 + 2*f - 1. Let m be w(j). Which is smaller: -32 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 11*w**2 + 15*w - 1. Let v be m(10). Suppose -19*r + 4 = -23*r. Sort 1, v, r in increasing order.\nAnswer: r, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23182 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 425 - 612. Let p = 186 + f. Is 105 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 333?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 232260.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -374*r**2 - 66*r. Let o(m) = 83*m**2 + 15*m. Let c(f) = -22*o(f) - 5*w(f). Let a be c(1). What is the highest common divisor of 10 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -59, -53, -43, -29, -11?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/765 and 4\/207.\nAnswer: 17595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 12 = -0. Let w(f) = f**2 - 2*f**2 + q*f**2. Let h(p) = -p**2. What is w(h(i))?\nAnswer: 3*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 10692 = -10928. What is the thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 3*m - 31, 5*q = -3*m - 20 + 1. Suppose 4 = m*i + 2. Calculate the remainder when (-3 + 0)\/i - -76 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*d + 20*d + 6 = 0. Suppose 387 = 3*f + d*y, f - y = 196 - 71. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.4 + 4.6. Let m = t - 19.4. Let u = 1.4 + m. Which is the closest to 1\/2? (a) -4 (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 387 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 18 (c) 0.4 (d) -0.3 (e) -0.073\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2. Let i be n(0). Let r(v) = -2*v - 1. Let m be r(-2). Suppose q = -4*o + 12, m*q = 5*o + 2*q - 15. What is the closest to 2 in i, o, 2\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 2) + -4 + -1 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348695376 is divided by 431.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -21 - (-5 - (-845)\/140)?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 + 14*w + 29)*(-3*w + 3*w + w**2).\nAnswer: 14*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13796*j**5 + 2*j**4 - 20*j**3 + 2694*j**2 - 184*j wrt j.\nAnswer: 827760*j**2 + 48*j - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 1. Suppose 5*f - 2*t - 99 = u, -f - 2*f = -2*t - 57. Does 5 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 6*g + 32. Let n be i(11). Is n greater than -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -11. Solve 0 = -5*p + 2*g - 16, 2*g = -l*p - 1 - 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*f - 2*y - y, 5*f + 2*y + 20 = 0. Let q(w) = -6*w**2. Let b(s) = -5*s**2 - s. Let c(o) = f*q(o) + 3*b(o). Factor c(n).\nAnswer: -3*n*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sjlggsessssfgjgggl. Give prob of sequence se.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(0 - 2) - 0. Let u = x - 1. Let n be 16\/6 + 2\/6. Sort u, n, -5 in decreasing order.\nAnswer: n, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1152377 and 28?\nAnswer: 32266556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 96 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14055?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -6*n + 8. Suppose 3*o - n*o + 155 = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**5\/6 + 47*p**4\/6 + 134*p**3\/3 - 202*p**2\/3 - 104*p = 0 for p.\nAnswer: -6, -1, 0, 2, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z = -28*z + 16*z + 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t**3 - t. Let z be y(1). Let l = z + -6. Let v be 1*-10*1*l. Calculate the greatest common divisor of v and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 3*t - 8189 - 389, 5*z = 2*t + 42825. Does 16 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5570675.\nAnswer: 5, 11, 47, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 6:12 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3990 divided by 44\nAnswer: -1995\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2180750 divided by 187\nAnswer: -198250\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -16, -2, 1850, 5, -4 in increasing order.\nAnswer: -16, -4, -2, 5, 47, 1850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/8, 46.62, -1\/3, -2.4 in ascending order.\nAnswer: -4, -2.4, -1\/3, 1\/8, 46.62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - 3*h - 12. Let m(z) = -65*z**2 + 2*z**2 + 64*z**2 - z + 6*z. What is m(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0 + -1 + 3 - (131 + -397)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**3 + 54*w**2 + 728*w - 19676. Determine j(27).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 11*y**2 - 17*y + 12. Let l(i) = -i**3 - 11*i**2 + i + 2. Let j be l(-11). Let k be b(j). Solve -4*x + k*x = -5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45230 take away 0.5?\nAnswer: -45230.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6930620 or 6930621?\nAnswer: 6930621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 27593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - y = 5*u - 13, 4 = -u + 3*y. Sort 8, 12, u in decreasing order.\nAnswer: 12, 8, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v. Let r(t) = -t**2 + 3*t + 3. Let w(p) = 6*d(p) - r(p). Let s be w(-3). Are s and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + a - 4. Let w(z) = z**2 + 5*z + 18. What is the lowest common multiple of h(-4) and w(-5)?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238290474?\nAnswer: 2, 3, 39715079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(3\/(-82)) + (-5)\/15. Let h = -41 + l. Let t = h - -25. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13423*w**2 - 5*w + 57329 wrt w.\nAnswer: 26846*w - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 765 and 388294110?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 9:42 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3543 - 223205\/63. Put 0.3, q, 0.1 in descending order.\nAnswer: 0.3, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 10 = 2*k, 6*k + 4*g + 11 = k. Suppose 5*p - 14 = k. Solve -15 = -4*j + 3*i, -p*i - 18 = -j - 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 - -24.3. Suppose 3*u + 4*i = 3*i + 2, -2*i = 8. Which is the smallest value? (a) v (b) 1\/6 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 96911928 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 250101 divided by 1593.\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(84)\/(sqrt(12)*1) + sqrt(7) + -1 + sqrt(140)\/sqrt(5) + 1*sqrt(7)*2)**2.\nAnswer: -12*sqrt(7) + 253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0*-105.647\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -145569.857 to the nearest ten.\nAnswer: -145570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 57 or 0.04?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 14, -5\/3 in descending order.\nAnswer: 14, 2, -1, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 94025 and 7578415?\nAnswer: 37892075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**2 + 1. Let q be h(1). What are the prime factors of 7\/(-14)*(166 - 0)\/q?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 2*o + o**4)*(-3*o + 2*o + 0*o) + 10 - 10 - o**5 + 2 + 3*o**5 - 2 + (2*o - 5*o + o)*(0*o**3 - 2*o**4 + 0*o**3).\nAnswer: 5*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, k: 2}. What is prob of sequence kt?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 10*o. Suppose r - 53 = -47. Let v(a) = 11*a. Let h(z) = r*m(z) - 5*v(z). Let p(x) = 12*x. Calculate h(p(g)).\nAnswer: 60*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -94*(-1 + 6\/4). Round w to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22242 + -32?\nAnswer: 22210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4640049 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-289 - 184 + 158)*(-31*r + 45*r - 28*r) to the form w + k*r and give k.\nAnswer: 4410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -16047 in decreasing order.\nAnswer: 3, -3, -16047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/95)\/(49\/(-70)*(-20)\/(-35))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 34*o**2 + 5*o + 10. Suppose 3*y = -2*w + w + 12, -3*y + 9 = 2*w. Let l be c(y). Is (l\/(-9))\/(1\/(-3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/8)\/(1\/18*(-420)\/40).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 67701, 135400, 203099, 270798, 338497, 406196?\n\"Answer: 67699*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2178) - (2*sqrt(2178)*-4 + sqrt(2178)))*5)\/(sqrt(216)*6 - (sqrt(96) + sqrt(6))*-2).\nAnswer: 220*sqrt(3)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 522.575l to millilitres.\nAnswer: 522575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31581 and 4783977?\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 85 + 28)*(0*f**3 - f**3 + 3*f**3)*(-2 + 2 - 3*f**2).\nAnswer: 168*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -46*p**3 + 11*p + 67778?\nAnswer: -138*p**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, 3, -5, 1302, 1 in decreasing order.\nAnswer: 1302, 6, 3, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 + 2212000212111?\nAnswer: 2212000212220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 50057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) -4 (c) -7 (d) 2\/31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 0)\/(-7 - -4)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1139 and -26.\nAnswer: 29614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 555456, 555474, 555504, 555546?\nAnswer: 555600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -1. Let s(y) = 3*y + 9. Let u(b) = 5*g(b) + s(b). Suppose -12*f - 19 = 4*p - 13*f, 2*p + 11 = -f. Calculate u(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -304, -1849, -4622, -8623, -13852, -20309?\nAnswer: -27994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 736 - 395. What is the remainder when v is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 2*z + 12 = 0, 5*z = 4*z - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, f: 2}. What is prob of picking 2 f?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 255349734 divided by 224582\nAnswer: 1137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.06494 (b) -2\/9 (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*x - 871 - 840 = 0. Solve -2*c = 21 - x for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (2 + sqrt(1539) + 0 + 0)*5)**2.\nAnswer: 450*sqrt(19) + 38500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2419100 to the nearest one hundred thousand.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2174 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 10:07 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**2\/6 + 1076*c\/3 + 811083\/2 = 0.\nAnswer: -819, 2971","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence co when two letters picked without replacement from ucvuvoccuvpccc.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 - -65 - (5 + (0 - 8 - -4 - -9))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*s - 16. Let w(x) = -s + 5*x + 3 - 6 - 3*x. What is the units digit of w(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -5. Let s = g - -3. Which is smaller: 2 or s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 36800 = 2*t, 3*t = -t. Suppose 2*b = -0*b - m. What is b rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49304 is divided by 19629?\nAnswer: 10046","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j - 8. Let z be y(-11). Suppose 7*f - 4*f = -3*l - 9, l + z = f. Solve f*c + c = 5*a + 7, 9 = 3*c - 3*a for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h. Let g(c) = 21*c + 6. Let q(f) = -22*d(f) + 2*g(f). Let m be q(6). Suppose -u + 1 + 3 = m. Solve 3*j = -j - u for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.017384 * -4\nAnswer: -0.069536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2793573 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 - 2*b**2 + 2 - 11.\nAnswer: -2*b**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 31 + -1071520807421\nAnswer: -1071520807390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -7. What is the remainder when z is divided by 7 + (1 + 0)*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -4*q + 23. Is q > 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63579 and 126.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 361452 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 1 - ((-30 - -12) + 6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uf when two letters picked without replacement from ffurcuururuu.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -608 - -611. Solve 4*x - 2 = -w*l + l, 4*l - 2*x - 4 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 442306.9183 from -0.4.\nAnswer: -442307.3183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 1:17 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4350715 and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*d = -16*d + 265 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 72 - 39 - (1 + 8)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1140 and 50?\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 15) to base 11.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12202022 - -12?\nAnswer: 12202111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5167015 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: What is 1\/18 of a day in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 116 or 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + -3 - -1) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54*44\/77*35\/(-40).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (10 - 0)) + (0 - -2 - -7).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/12165 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6174.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35 + 1132304435?\nAnswer: 1132304514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15174, -60728, -136656, -242958, -379634, -546684?\n\"Answer: -15187*i**2 + 7*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 16, 8, -16, -56, -112, -184, -272?\n\"Answer: -8*d**2 + 16*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from akayrakgaayyagay. Give prob of picking 1 y, 2 a, and 1 k.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3472 and 70742.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/10 + 6\/(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 8 - 8. Suppose 0 = -3*o - b + 16. Solve 0 = 5*i + 3*f - 7, o*i + f - 6 - 1 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + sqrt(243) + -1 - (3 + sqrt(243) + 0 + sqrt(243))).\nAnswer: -9*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 0 + -17 + 45.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hl when two letters picked without replacement from ghglgghllhhhlggglhh.\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, r: 2, p: 4, g: 1, f: 7}. Give prob of picking 4 p.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1442 is divided by 304.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39073\/10 - -3903. Calculate the common denominator of 33\/28 and a.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 8643*p. Let s(q) = 2*q. Determine g(s(l)).\nAnswer: 17286*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, 0.3, -0.03, -188 in increasing order.\nAnswer: -188, -0.03, 0.3, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3288.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 69c315b?\nAnswer: -69c3160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 123, 170, 173, 126, 23?\n\"Answer: -g**3 - 16*g**2 + 102*g + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0791 - -0.0809. Is j greater than 195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 - 14607*h - 337548.\nAnswer: 3*(h - 4892)*(h + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*q + 187 = 16*q for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w + 9. Let a be p(-7). Let y be (a + -3)*(4 + -8). Suppose -268 - 1224 = -y*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3145.\nAnswer: 5, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -4 (b) -0.2 (c) 3 (d) -1 (e) 59\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*x - 1. Let r(i) = -i**2 - 4*i + 1. Let l be r(x). Sort l, -1\/4, 2\/9.\nAnswer: -1\/4, 2\/9, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -1\/150*q**6 - 3*q**2 + 0 + 0*q**7 + 0*q**5 + 0*q + 0*q**3 + 1\/840*q**8 + 1\/60*q**4. Suppose w(r) = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -0.5, 4, -11, 1.05, -7.92?\nAnswer: 1.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 955.8656 hours?\nAnswer: 3441116160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 1 = j, r - 6 = j. Suppose r*n = 9*n. Solve n = 4*t + 4 - 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) 2\/17 (c) -391 (d) -69\/4 (e) -170\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/4)\/(1\/(-16)). Suppose 4*j - d = 72, -a - 36 = -4*j - 5*d. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35*u**4 - 2030421*u**3 + 23670*u**2 - 143*u - 10 wrt u.\nAnswer: -840*u - 12182526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 21*k - 12. Let c be q(25). Solve m = 2*u + c - 85, 0 = -u - 2*m + 11 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5082379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b**2 - 41*b + 13. Let i be h(10). What is n in -22*n**2 + 5*n**2 + 5*n**4 + 6*n + 6*n**4 + 16*n**4 + 6*n**i - 10*n**2 - 12*n**5 = 0?\nAnswer: -1, 0, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.44 + -2.56. Let d = -1692724\/287 - -5898. Let k = d - -80\/287. Which is the nearest to -0.2? (a) 3 (b) u (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r + 21 - 6*r**2 - r**3 - 8 - 10 + 0*r**2. What is l(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 89 + 79. Let o = -8 + 8. Suppose 5*j - 2*n - 41 - 9 = o, -4*n = -20. Calculate the lowest common multiple of j and s.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 40185*a**5 + 241122*a**4 + 522477*a**3 + 482376*a**2 + 160884*a + 48 = 0. Calculate a.\nAnswer: -2, -1, -4\/13395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1476 - 739 - 32750*p**3 - 737.\nAnswer: -32750*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o + 3 - 263*o**2 + 2 + 2*o.\nAnswer: -263*o**2 + o + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -2*y - 132. What is the remainder when (y\/4 - -2)*754\/87 is divided by 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -283 minus 0.04?\nAnswer: -283.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 6:24 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 104360 and 20?\nAnswer: 104360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-51 + 3 + (-12)\/(16 + -4))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.114 - 0.114. Let a = f - 70. Let m = -1 - a. Which is smaller: m or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -480*a**2 - 84*a - 4. Let l(u) be the third derivative of u**5\/60 + u**4\/24 - 18*u**2 - u. Let z(d) = j(d) - 4*l(d). Let z(c) = 0. Calculate c.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5295, -21994, -50081, -89562, -140443, -202730?\nAnswer: -276429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281385 is divided by 116.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h - 13. Let u be c(-13). Let z be ((-6)\/(-344))\/((-9)\/(-8)). Are z and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/55)\/(63\/105)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 - 11*p.\nAnswer: -p*(p + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 693\/(-396) + 7\/4. Let a be 0 - -1 - (-1 - 1). What is the second derivative of 3*x - x**3 - x**a + n*x**3 + x wrt x?\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 5 - (19 + -12)) + -14.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/12)\/(3\/84*2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6496 = 20273*f - 20389*f for f.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-7189)\/882 + 10\/105 and 606\/(-40) + (-6)\/(-15).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/14 - (-3132)\/(-1260) - 1?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b*b**(4\/5)*b))\/b)\/(b\/(b\/(b*b**(-1\/5)))*b))\/(b**5*b**(5\/3)*b) assuming b is positive.\nAnswer: b**(-184\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57699 - -57699.0348424. Let i = z - 0.0343. What is i rounded to 5 dps?\nAnswer: 0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5557602.362 from 0.\nAnswer: 5557602.362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 106 - 47. Is 3\/(3 - 0)*x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/27)\/(-24 - 651\/(-27)). Sort -27, q, 1, -4, 5.\nAnswer: -27, -4, q, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10114 (base 11) in base 5?\nAnswer: 433102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 4, l: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 556 divide 1019606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-10 - -19) - 14?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (51*t - 2 - 98*t + 52*t)*(3*t - 4*t + 3*t) to g*t + f*t**2 + i and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -x**5 - 2*x**4 + 1107483*x**3 - x**2 - 85163*x - 18.\nAnswer: -60*x**2 - 48*x + 6644898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 36 + 40 = 0. What is the nearest to 1 in -0.2, p, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - k + 0*k + (3 - 4 - 1)*(k - k - k))*(-35*k - 34*k - 28*k).\nAnswer: -97*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*r = 2638, r = -8*s + 11*s - 1966. Calculate the highest common divisor of s and 1679.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9381324, -18762686, -28144048, -37525410, -46906772?\n\"Answer: -9381362*v + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9d9 + da404?\nAnswer: daddd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*n + 21*n = 4900. Solve -17*o = -n*o - 108 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110, -218, -316, -404, -482, -550?\nAnswer: -608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 17*a**2. Let r(o) be the third derivative of 7*o**5\/20 + o**4\/24 - 1177*o**2. Determine n(r(z)).\nAnswer: 7497*z**4 + 714*z**3 + 17*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2946\/32705 or 1?\nAnswer: -2946\/32705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207*a + 5*a - 182*a + 3*a - 23*a + 53*a.\nAnswer: -351*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -69, -45, 27, 165, 387?\nAnswer: 711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9480\/(-2528)*(-12)\/27\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1 + 190935516*h**2 - 190935358*h**2 + 0.\nAnswer: 158*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**1)**41\/(v**(-2\/5)\/v*v\/(v*v\/(v\/((v**4*v)\/v))*v)) assuming v is positive.\nAnswer: v**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 14*j - 6*j - 95 + 95 - 6*j. Let a(w) = 9*w**2 + 28. Calculate g(a(v)).\nAnswer: 18*v**2 + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1327069948?\nAnswer: 2, 31, 10702177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 167003485 to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-23 + -1)\/((82\/287)\/(43\/(-7))). What is the highest common factor of 2150 and k?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*y + 126 = -5*y, -5*y - 122 = -3*n. Let a = 9 + n. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 515 = -37*o + 2032. Let k(b) = -b**2 - 3*b**3 + 2*b**3 - 2*b**3 - b. Calculate the remainder when o is divided by k(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2293332 and 147?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4 = -f. Let w be (-3)\/f - (-5)\/2. Solve 0 = -5*b - w*r + 19 - 7, 5*r = -4*b + 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - (-12)\/(-3))*-150. Suppose -396 = -6*j - i. Suppose 3*o - 62 = -4*f, 0*o - 3*o = -f - 37. What is the remainder when j is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68940098 divided by 6.\nAnswer: -34470049\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 4526, 12, -12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/3042 and -17\/2704.\nAnswer: 24336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7252 + 7749. Solve -c*h + 13 = -484*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17*v**2 - 348*v - 29902 wrt v?\nAnswer: -34*v - 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33317665*q + 3*q**2 - 33317665*q.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-1)\/1)\/(12\/36)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -84*w**3 - 8*w**2 - 2*w + 3. Let m be (-11 - 5\/(-1))*2\/(-4). Let q be (2\/m*-1)\/((-60)\/(-450)). Is k(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 813\/4141 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 12 + (-7 - -5) + 1 + 4\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 6:31 AM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of t**2\/2 + 3*t + 23. Suppose -3*v = 12, -5*c + 3*c = -v - 20. Calculate i(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 949.\nAnswer: 1898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20157750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2250 is divided by 374?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28.705435 - 28.7. Round y to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1056915 by -70461.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -49.9 in -5, 0.07, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + m - m)*(171*m - 290 - 288 + 578).\nAnswer: 171*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32829 - -59406. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23200214 (base 6) in base 9?\nAnswer: 1310401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77517 = 36282*u - 36292*u + 350567. List the prime factors of u.\nAnswer: 5, 43, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a - 1. Let h be l(6). Let p be -4*(1 - ((-27)\/2)\/(-9)). Suppose -2*x = -4*m - 12, -3*x - p*m = 3*m + 37. Put h, x, 2 in descending order.\nAnswer: 2, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -62\/17 in -0.2, -7, -2\/9, 2, -2\/33?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 g, and 1 l when three letters picked without replacement from {g: 1, l: 4, k: 2, e: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v - 9. Let t be g(-6). Let l be (-9)\/(-4) - 1\/4. Suppose -3*m = l*z - 3*z - 7, t*m = -2*z + 13. What is the remainder when 4 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1664502?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 13*l**3\/3 + l**2\/2 - l + 7. Is s(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(-3)\/555 - -1398*7\/(-8547)?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40*112\/2240*13\/8?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*m - 16. Solve 2*z - m*x = 18, 44*x = z + 49*x + 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10df (base 16) in base 8?\nAnswer: 10337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.184 - -6.183997281. What is b rounded to 7 dps?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10114*h**2 - 8563*h**2 + 2255*h**2 + 3410*h**2 in the form q + d*h + k*h**2 and give k.\nAnswer: -13012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11111200 - 0?\nAnswer: -11111200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7340*a + 286970 - 1219150 = 0 for a.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 262, 5, 4 in increasing order.\nAnswer: 4, 5, 262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3c1f2 + -19?\nAnswer: 3c1d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-50)\/100)\/(1 + 2147\/(-2146)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j**2 + 18*j**3 - 3 - 29*j**3 - 4*j**2 + 54*j + 14*j**3 in the form a*j**2 + u*j**3 + c + d*j and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 - 4444*h + 4407*h + 70 to the form v*h + i and give i.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t + 6. Let j be g(6). Let b(n) = j + 5 - 1 + n. Let q = -36 - -32. What is b(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eyyoookekoeeyaaayooa. Give prob of sequence aoko.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4913 by -1.\nAnswer: 4913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 73187, 73170, 73143, 73106, 73059?\n\"Answer: -5*u**2 - 2*u + 73194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 + -3507.3213.\nAnswer: -3517.3213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -887 != -888?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 331492 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 5*j**2 - 4*j - 4. Let x = 20 - 11. Let h(r) = -4*r**3 - 20*r**2 - 16*r - 17. Let u(c) = x*w(c) - 2*h(c). Give u(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24367613*n**4 - 149791969*n wrt n?\nAnswer: -292411356*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 11*h**2 - 4*h - 8. Determine m(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.9 - -1.9. Let d = 3 + p. Let w(z) = -z**3 - 7*z**2 + 9*z + 6. Let n be w(-8). Which is the third smallest value? (a) n (b) -0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.2 - 2.6. Let a = 134.5 - 135. What is the closest to l in a, -2, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, z: 5, f: 3}. Give prob of sequence fz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/(-8))\/1)\/((-6)\/(-60))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5*u - 29 = 0, 3*w - 2*u - u - 12 = 0. What is the biggest value in w, 0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8686981?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -o**3 - 2762*o**2 - 9*o + 55587 wrt o?\nAnswer: -3*o**2 - 5524*o - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9039.\nAnswer: 3, 23, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1034, 2179, 3436, 4799, 6262?\nAnswer: 7819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uujjjjjujjjjju. What is prob of picking 1 u and 3 j?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -158*t + 183. List the prime factors of u(-24).\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -335, -333, -331, -329?\nAnswer: -327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*n + 3 - 3)*(-3*n**3 - n**3 + 2*n**3 + (-45*n - 37*n + 68*n)*(-1 + 1 + n**2)) to r*n**3 + h*n**2 + s*n + v*n**4 + t and give v.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 5*l**3 + l**2 - l. Determine b(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - s + 0*s)*(-397 + 236 + 316).\nAnswer: -465*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 15539421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*(-9)\/6 - -33. Is (15\/2)\/(a\/80) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 154, 150, 156, 178, 222, 294, 400?\nAnswer: 546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (8 + -72)) + 6*(-24)\/144 + 12\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-140 + 10*o + 140)*(0*o + 2*o - 3*o).\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 28780509, 28780513, 28780517, 28780521, 28780525, 28780529?\n\"Answer: 4*k + 28780505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -6. Suppose -10*f = -11*f. Let m = -0.1 + 4.1. Which is the second smallest value? (a) x (b) f (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4226 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1826 at most as big as -1.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12511429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 871.301 greater than or equal to -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 3 = k + 8, -5*o + k = -26 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 86*b**2 - b**2 - 2*b**3 - 23*b**2 - 18*b**2 + 13*b**2 to the form f*b + s + d*b**3 + n*b**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 6*d**2 - 9*d + 9. Determine h(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -8*p**5 + p**3 - 5*p**2 - 1. Let l(b) = -b**5 + b**3 - 1. Let v(k) = l(k) - u(k). Find the third derivative of v(n) wrt n.\nAnswer: 420*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20107048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of 4 + 0*k**5 - 1\/6*k**3 + 46*k**2 + 0*k**4 + 4\/3*k**7 - 11*k + 0*k**6. Find the second derivative of p(h) wrt h.\nAnswer: 1120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 81c4a + 5?\nAnswer: 81c50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {p: 2, i: 1, a: 2, e: 1, w: 1, o: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.6529 + -22.7581. Let i = y - -0.011. Round i to zero dps.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/900177 and 59\/7259?\nAnswer: 107121063","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12250, -25238, -38226, -51214, -64202, -77190?\nAnswer: -90178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -y**4\/24 - y**3\/6 - y**2. Let p = -20 - -18. Let c(q) = -2*q - 4. Determine p*c(m) + 6*l(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 253?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1168 divided by 146\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150)\/sqrt(3)*-4)\/sqrt(10) + 0 + (sqrt(45)\/sqrt(3))\/sqrt(3))*-5.\nAnswer: 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 6*h**2 - 3*h + 3. Let t(a) be the second derivative of -a**4\/2 + 2*a**3\/3 - 3*a**2\/2 + 77*a + 14. Calculate -4*i(k) - 3*t(k).\nAnswer: -6*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -24, -18, 3 in descending order.\nAnswer: 3, 1, -3, -18, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -6*j + 4*j - 15, 4*g = 2*j + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 28\/(-8)*8\/(-7). Let m(i) = i**3 + 4*i**2 + 3*i. Let a(d) = d**3 + 5*d**2 + 2*d. Let b(s) = k*a(s) - 5*m(s). Find the second derivative of b(t) wrt t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1581*j**2 + 1007*j**2 + 582*j**2.\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -5 + 60 - 3\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 + 13*n**2 - 8*n**2 - 7*n**2.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 803338589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1673)\/(-1912) - (-8)\/32?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 3\/2, 0.39, -4, -1\/3, -9, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1126 divided by -6\nAnswer: 563\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 0. Let g = -1934 + 1927. Sort a, 2, g in ascending order.\nAnswer: g, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + z**4 - 2 + (-4*z**3 + 7*z**3 - 2*z**3)*((3 - 4 - 1)*(1 + 3*z - 1) - 397 - 25*z + 200 + 200).\nAnswer: -30*z**4 + 3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 29788\nAnswer: 5957.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 2*p - 1. Let f = -54 - -55. Let g be j(f). Suppose 0 = v + 4*t, g*v = v - 5*t - 4. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 3320b6?\nAnswer: 3320b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 10*h**2 + 14*h + 31. Determine y(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3675*q**5 - 140105*q**4 + 411575*q**3 - 345335*q**2 + 112710*q - 12600 = 0. Calculate q.\nAnswer: 4\/15, 3\/7, 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19\/7 in -9, -12.08, 5, -1\/8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w. Let t(x) = 2*x**2 + 2596304. Give t(v(d)).\nAnswer: 2*d**2 + 2596304","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1155*v = -1153*v + s - 17701, -3*v + 5*s = -26532. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242238.\nAnswer: 2, 3, 47, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 19 = -5*g, 351*g = 356*g - 14*u - 29 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**5\/4 + 15*z**4\/2 + 50*z**3 + 140*z**2 - 95*z + 2. Determine k so that d(k) = 0.\nAnswer: -14, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v**3 - v + 1. Let r be s(1). Suppose -69 = -r*u + 66. Let o be 0 - -30*(-3 + 4). What is the highest common factor of o and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 7 - 2 + 3*z**3 - 4 + z**3. Let h be x(1). Let n = -3 - -4. Solve -3*r + 16 = -2*k, 2*r = -k + n + h for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u**3 - 4770*u**2 - 38445*u - 33670 = 0. What is u?\nAnswer: -7, -1, 962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -124 + 124. Suppose 5*w = -4*j - 3, w - 2 + 1 = 0. Which is the nearest to s? (a) -0.3 (b) -3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/(-9))\/(-1)*10*36\/(-48)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 + 2)*(t - 11*t - 21*t).\nAnswer: 93*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (3 + 24 - 26).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 686 = -0*w + w, -5*w = 2*r + 334. Let x = -84 - r. Suppose -a + 2*k + x = 0, 5*a - 3*k - 49 = 370. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/2538 and -19\/282?\nAnswer: 2538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-9)*9\/(-8)*(-990)\/(-135).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 w when two letters picked without replacement from ppwwpkpwjkwvrpwv.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l*l\/(l**(-1\/8)*l))\/l*l\/(l*l**(-1\/3)*l)*((l*l\/(l\/(l**(-2\/3)*l))*l)\/l)**(2\/85))\/(l**1\/l**(2\/3)*(l**1)**(3\/11)) assuming l is positive.\nAnswer: l**(19829\/22440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 7:01 AM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6))\/(7\/18*4).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -590 + 559.3. Let d = -32 - y. Let k = 3.7 - d. Which is the nearest to -0.1? (a) k (b) -0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110011101100111101 (base 2) to base 12.\nAnswer: -1aa311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a*t**3 - 25*a*t - a + 281*t**4 - 5 wrt t?\nAnswer: 18*a*t + 3372*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 20 from -347377.178.\nAnswer: -347397.178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 7*i**2 - i + 9. Let s be u(7). Suppose -d - 10 = 3*j - 7*j, -s*d = 2*j - 10. Solve -3*v + l - 7 = 0, v = 3*v - d*l + 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2, 0.1303, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -0*k - 4*l - 35, 3*k + 11 = -4*l. Solve 3*u**4 - 501*u**3 - 6*u**4 + 507*u**k - 3*u**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cnlqlleeeeqllqlllec. Give prob of sequence lq.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.03 (b) -0.4 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -1064 and -1648 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -7\/4, -3, 3, 56.5 in descending order.\nAnswer: 56.5, 3, -1\/5, -7\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence euss when four letters picked without replacement from {d: 1, u: 1, s: 3, j: 3, r: 3, e: 2}.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 1. Let s be y(-4). Suppose -4*f + 6*b - b = -57, 0 = -s*f - 4*b + 61. Calculate the remainder when 55 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-8) - 858\/(-88). Let y(j) = -4*j + x + 17 - 24. Give y(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put together -261531.07472 and -2.\nAnswer: -261533.07472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 54384152453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -0.14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.6 + 0.4. Let t = c + -0.8. Is 1\/4 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17830499?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -68, -206, -398, -638, -920, -1238, -1586, -1958?\n\"Answer: w**3 - 33*w**2 - 46*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-12)*2)\/(3\/54). Suppose -4*p + 132 = 4*b, x*b - 132 = 8*b + 5*p. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 5*w + 19. Let j be ((-18)\/(-27))\/(w\/(-2)). Suppose -8*v - f - 7 = -4*v, v + 4 = -f. What is the smallest value in 0.1, j, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i**4 + 24*i**3 + 20*i**2 - 16*i - 16. Let f = -24 + 16. Let a(w) = -w**3 - w**2. Let k(b) = f*a(b) - v(b). Factor k(j).\nAnswer: -4*(j - 1)*(j + 1)*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + -2 - -2) + 12. Suppose 5*d - d = h. Suppose -m + 3*m = 10. Sort 2, m, d.\nAnswer: 2, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/3 - 6723960*q - 16954364280600.\nAnswer: -2*(q + 5042970)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -6*r**3 - 7*r + 7. Let w be j(1). Let m be (20\/11960)\/((-3)\/w). Which is smaller: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 349 a factor of 24662407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bmsebmbbambs. What is prob of picking 2 s?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3779580 divided by 269970?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 12:35 AM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9290 rounded to the nearest 100?\nAnswer: -9300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2163\/1485188 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 17030650.894 to the nearest one hundred.\nAnswer: 17030700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**2 - 2*o**2 + 5*o**2 - o**2 - 2*o**2 + 5*o**2 + (0 + 0 + o**2)*(2 - 2 + 2) + 1 - 2*o**2 - 1.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -o**7\/1960 + 3*o**5\/280 - o**4\/28 - 2*o**3 - 6*o**2. Let v(l) be the first derivative of t(l). Factor v(k).\nAnswer: -3*(k - 1)**2*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 15*y + 1. Give r(-9).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v**2 + 2*v - 2. Let u(o) = o - 5. Let h be u(3). What is n(h)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23339 - -23358. Let h = 0.65 - 0.7. Which is the second biggest value? (a) s (b) -5 (c) h (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*n = 66*n. Solve n = 9*o - 26*o + 34 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-11) + (4 - 45\/55). Let d(y) = 4*y - 1. Let h be d(3). Let k = 16 + h. Calculate the greatest common factor of r and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011648892 rounded to 6 decimal places?\nAnswer: -0.011649","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -120032 + -124?\nAnswer: -120156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 78. Let d = p - -60. Suppose 4*x - 708 = -d*f, -5*x + f + 292 = -607. List the prime factors of x.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 356\/(-20) + 29 + (-14 - -2)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31151930?\nAnswer: 2, 5, 3115193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18\/90 - 1\/(-5)*1869 is divided by 38?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of h**2 - 2. Let j(c) = -31*c - 5. Let t(o) = 16*o + 3. Let a(u) = -3*j(u) - 5*t(u). What is a(q(x))?\nAnswer: 26*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3)\/u*u**(-3\/4)*u*(u*u**1)**49)**(-21\/4) assuming u is positive.\nAnswer: u**(-7917\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1242647*l**5*n**2 - l**5 - 2565*l*n**2 + 47*l*n - 5*n**2 wrt l.\nAnswer: -24852940*l**3*n**2 - 20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 6. Is 53\/(4\/48*d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -55. Let b = z - 5. What is the remainder when 45 is divided by b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.162 less than 32617402?\nAnswer: 32617402.162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vuz when three letters picked without replacement from opozohhhhhpvuhphzuhh.\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1281 + 1271 + (-1 - -8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 5*l + 2*l - 7*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 107, 3, 0.1 in descending order.\nAnswer: 107, 3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -411.1.\nAnswer: -822.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u - 5. Suppose -4*m - 3*d + 6*d = -16, 0 = d. What is r(m)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9075369t to grams.\nAnswer: 907536.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -400898571 divided by 1229.\nAnswer: -326199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**(-5\/7)*a))\/a)\/a**(-7)*a**(1\/8)\/a**(-17) assuming a is positive.\nAnswer: a**(1279\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 91 in -8, 6\/41, 0.4, -0.5, -0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9714 and 54?\nAnswer: 87426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -6*f + 5 - 7 + 4 + f - 1. What is m(-4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 0*m**2 - 3*m + 4 - 5*m**2 - 2*m - 3*m**2. Let f(w) = 15*w**2 + 9*w - 7. Let z = -18 - -12. Determine z*f(r) - 11*u(r).\nAnswer: -2*r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -235 (base 13) to base 4.\nAnswer: -11332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 436 - 492. Let p(f) = -f**3 + 2*f**2 + 5*f - 2. Let u be p(-5). Let r = u + h. List the prime factors of r.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74101070839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i - 12 + 12 - 1 - 3*i**4 + (-4*i**2 + 5*i - 5*i)*(i**2 + 0*i**2 - 3*i**2).\nAnswer: 5*i**4 - i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(18) + (sqrt(18) - sqrt(72)\/(sqrt(24)\/sqrt(6))) - sqrt(18)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.531269032 - 1.\nAnswer: -2.531269032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -4*f**2 + 1040215280*f - 67627989296592400 = 0.\nAnswer: 130026910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, r: 5, d: 1}. Give prob of picking 1 d and 1 r.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 334.818 - 334. Let l = 1.7 - 0.9. Let h = x - l. What is h rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/16 - 2)*(-15 - (-695)\/45).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 15) to base 11\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*h - 11*h - 4*s - 175, 0 = 5*h + 4*h - 5*s - 155 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -444113\/10 + 44354. Let p = 55 + g. Calculate the common denominator of 154\/16*-2*1 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of b**3\/3 - b**2\/2 - 2*b - 9. What is i(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -11. Sort -2, s, 2\/13.\nAnswer: s, -2, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 4. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 5*s - 23. Let c be d(4). Let j be (-126)\/54*c\/((-21)\/2). Sort -0.6, -4, j in descending order.\nAnswer: -0.6, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 7:16 PM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k*o*v**3 - 134*k*o*v + k*v**2 + 2*o*v - 12*v**3 wrt v?\nAnswer: -6*k*o*v + 2*k - 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1800 and 550.\nAnswer: 19800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -18?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.78 - -2.68. Suppose -o - 19 - 5 = 0. Let s be (-9)\/o*(-3)\/(-9). What is the nearest to r in -2\/11, 1\/7, s?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2 + 2 = 0. Let a(l) be the first derivative of -l**6\/120 - l**5\/12 - l**4\/12 + l**2 + 2. Let k(c) be the second derivative of a(c). Calculate k(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a - 47. Let w be m(23). Let s(g) = -44*g + 4. Calculate the smallest common multiple of 6 and s(w).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 0 + -3 + (1 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*d = -29*d + 71*d - 196 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or -185?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2043*d**3 + 2675*d**2.\nAnswer: 12258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16506.6 litres in millilitres?\nAnswer: 16506600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7143, 7142, 7141, 7140, 7139, 7138?\nAnswer: 7137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(-8 + 6) + 3\/(12\/56). Put w, 2, 1, -4 in increasing order.\nAnswer: -4, 1, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(2 - 1\/2). Let u = 2 + a. Suppose q - 5*q = -80. Solve -5*l = -u*b - 4*b + q, 3*l = -2*b + 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**2 - 8. Let d(a) = -9*a**2 - 7*a - 52. Give d(o) - 4*q(o).\nAnswer: -o**2 - 7*o - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2406*f - 96. Let b(c) = 802*c - 34. What is -17*b(d) + 6*k(d)?\nAnswer: 802*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*s**2 - 6*s**2 + 5*s**2)*(26 - 21 + 21) to p + u*s + r*s**2 and give r.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - -8.7. Let u = d + -8.8. What is the third biggest value in 3, -1\/2, u?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (173 - 85*r - 173)*(15*r - 29 + 29)*(r + 0*r + 0*r) to j + q*r + s*r**2 + w*r**3 and give w.\nAnswer: -1275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*i = 126, -i = i. Suppose 3*k - s = -5*q, k + q = 4*k - 63. List the prime factors of k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 897215692 - 147955.\nAnswer: 897067737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13 - 1740\/(-135))\/(((-105)\/18)\/(-7)))\/5?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 7*h**2 + 9*h. Let r(m) = -m**2 + 10*m - 1. Let l be r(9). Let s be w(l). Let b be (-4)\/16 + 5602\/s. Round b to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + m, 26*o + m + 6 = 22*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/97 - 185\/873. Which is the closest to -4? (a) y (b) -0.8 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48 + 53 - 42)*(2*b**5 + 4*b**5 - 4*b**5).\nAnswer: 118*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 476 by -119.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 89494690 to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122871?\nAnswer: 3, 7, 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63 + -59. Suppose 135 = o*r - 1. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, w: 9, i: 3, e: 2}. Give prob of picking 1 e and 1 n.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/28 of a week?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2 + 65*a - 33. Let m be c(-33). Let d = 36 - 92\/3. Factor -d*o + 4\/3*o**2 + m.\nAnswer: 4*o*(o - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27 + 16 + -27 - (-2 - -1)) + -8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3 = -a + 3*q, a + 9 = 5*q. Solve -h = 5*r + a, 0 = -h - 3*h + 2*r + 22 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2 + 9*y**3 + 12 + 0*y - 13 + 2*y. Let c = 16 + -10. Let d be c\/(-2) - (-6 + 2). What is k(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 1012*v + 5. Let k(s) = -2*s - 105. Give r(k(h)).\nAnswer: -2024*h - 106255","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 9*g**2 - g - 6. Let m be j(-9). Let z = m + -4. Calculate the least common multiple of 9 and z*2*7\/(-2).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11637 (base 8) to base 15.\nAnswer: 174d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -8 + 0*g**2 + 3*g**2 + g**2 + g**3 - 2*g + 2*g**2. What is t(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 99 times 0.2281\nAnswer: 22.5819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (11\/((-132)\/(-40)) + -3)*-6. Put -8, z, 142 in decreasing order.\nAnswer: 142, z, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 488 divide 1729472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.92317 from 16.867528.\nAnswer: 15.944358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 8:00 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45.6 - 23.3. Let d = r + -29. What is d rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222343*d + 222341*d + 6 = 2*x, -10*d - 30 = -5*x for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-5))\/((-2)\/30). What is the second derivative of -6*t**2 + j*t + 10*t - 7*t**2 + 3*t**2 wrt t?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s\/(s\/((((s\/s**(1\/16))\/s)\/s)\/s*s))*s)*s**(-13\/2)*s**(-12)*s*s**(-3\/16)*s)**(1\/7) assuming s is positive.\nAnswer: s**(-19\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 251*m - 255*m + 4870444. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 + 0 - (184 - 175)) + -15.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 101001 (base 2) to base 8\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 7 - 17 - 1913*w**2 + 36.\nAnswer: -1913*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -102 + 116. Suppose -1 = -3*p + a. Calculate the highest common factor of 40 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 782165, 1564354, 2346543, 3128732, 3910921, 4693110?\n\"Answer: 782189*l - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 39.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 971257 and 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 270 and 7938.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 12. Let c(q) = -2*q + 2*q + 3*q - p. Let x(d) = -6*d + 9. Let t(o) = 7*c(o) + 3*x(o). Find the first derivative of t(r) wrt r.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -408.8216977 rounded to two decimal places?\nAnswer: -408.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.066 and -2.08.\nAnswer: -2.146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.175 and -0.8453904.\nAnswer: -1.0203904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -11613 <= -11628?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-54))\/(-1*4\/3).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2*(2*sqrt(33)\/sqrt(3) - ((sqrt(99) - sqrt(11)) + 0)) - (-3 + (sqrt(396) + -1 + -1 - sqrt(396)))) + 0)**2.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -17*c**2 + 5*c + 1. Let r be ((-18)\/(-2))\/(4 - 5). Let v(a) = 4*a**2 - a. Calculate r*v(j) - 2*x(j).\nAnswer: -2*j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a week in minutes?\nAnswer: 23520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/325, 11, 0.5, 0.4, 41, 1\/7 in descending order.\nAnswer: 41, 11, 0.5, 0.4, 1\/7, 2\/325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mn when two letters picked without replacement from {m: 1, a: 1, n: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fxv when three letters picked without replacement from uvxmf?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 - 37. Which is the second smallest value? (a) -2 (b) 2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 53020*m**2. Let h(c) = c**2. What is b(h(y))?\nAnswer: 53020*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 6*f + 273. Let p be v(-14). Calculate the highest common divisor of p and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159994 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 586, 579, 572?\n\"Answer: -7*v + 593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 + -4.5. Let x = 1522 - 1522.02. What is the closest to x in y, 3\/4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3*sqrt(513))\/sqrt(9))\/(1*4*sqrt(363)).\nAnswer: -9*sqrt(19)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1592 and 10192?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -62.29 and 0.4?\nAnswer: -24.916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.35 and -1053?\nAnswer: -2474.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -14\/25, -5, -2\/7, 0, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4892148 and 3?\nAnswer: 4892148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 313176 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 6*k**3 - 3*k**2 - 73*k + 73. Let l be m(1). Suppose -15 - 12*q**2 + 3\/2*q**l - 57\/2*q = 0. Calculate q.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -25*m. Let z be (-33)\/55 + 774\/(-10). Let d = z - -75. Let v(w) = -3*w. Calculate d*x(p) + 24*v(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53*v - 24 + 24 - v - 3*v + 3*v + (-2 + 4 - 1)*(7*v - 3*v - 2*v))*(-158 + 65*v + 158).\nAnswer: 3510*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(1\/5*525\/(-315))\/(8\/228)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 3*h - 6*h + 21, 4*a - 8 = h. Solve 2*k = k + a for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 15694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/25? (a) -8.6 (b) -0.1 (c) -1\/9 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-1 - 0) - -7 - 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4857845 litres in millilitres?\nAnswer: 485.7845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 3, a: 1, s: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - -9. Let t = -11 + s. Let q(g) = -g + 3. Give q(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 2*j - 3*w - 15, 0 = 5*w + 25. Let f(s) = -s**2 + 10*s + 5. Let h be f(10). Solve -h*t + 1 = -3*q - j, -5*t = 4*q - 22 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*4*(-3)\/(-20).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/5312 and 57\/90367744.\nAnswer: 90367744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, j: 2, f: 2, t: 4}. Give prob of picking 2 j and 1 f.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3 + 0 + 0*g - g + 10. Let z be t(5). Suppose -z*v + 2 = -8. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)*1*-3 + 4*(-1*sqrt(204) + sqrt(204)))\/(-6*(sqrt(432)*1 + sqrt(432) + sqrt(12))))**2.\nAnswer: 17\/676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 47 = -0*f + 5*f, -4*f - 5*u + 45 = 0. Let d = 7 - 7. Suppose d = s + 3*s - 20. What is the remainder when f is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344 - 264 = -76*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10573452 divided by 278\nAnswer: 38034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/9*393\/6550.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -954900 divided by 954900?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 2*w**2 - 18*w + 38. Let h = -368 + 362. Let u be i(h). Put u, -5, -6, 31 in decreasing order.\nAnswer: 31, u, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -1)\/(60\/30). Let q be (-7)\/(-35) - (f - (-307199997)\/(-15)). What is q rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2 - 2*g. Let i be (0\/(16\/4))\/(-3). Let p be z(i). Which is the second smallest value? (a) 2\/11 (b) 5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 4*b**2 + 6*b + 7. Let n be x(-5). Let c(w) be the third derivative of -w**6\/120 + w**5\/15 - w**4\/8 + w**3\/2 + w**2. Does 5 divide c(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 0*z + 2*z)*(1 - 3 + 3) + 8*z + 9*z + 48*z.\nAnswer: 68*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*l - 2*q, q - 191 = -4*l - 186 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 1550 = g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 6*g - 8 = -2*o, 0 = -g. Let k be 10\/(-15)*6\/o. Let u = k - -8. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -447 * -105.\nAnswer: 46935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 852 + -849. Let i(o) = 2*o + 2. Let f(w) = -w - 1. Give v*f(j) + i(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10, -1, 8, 17, 26?\n\"Answer: 9*x - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 823773 is divided by 274571.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5479 and 0.1832.\nAnswer: 1003.7528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64 + -69. Put n, -3, -30 in decreasing order.\nAnswer: -3, n, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102613617.\nAnswer: 3, 37, 308149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 1:26 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from zszzs.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vhvvvvhvvhhvvvvvhh?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-9)\/(-30))\/((-3)\/4))\/(37\/(-3330)). Solve 0 = 3*w + 6*v + k, -8 = 5*w + v + 7 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -330911*u**2. Let a(k) = -6*k. Determine a(n(f)).\nAnswer: 1985466*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 556957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19486?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 - 27.91. Do d and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 7\/688 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6\/(-7) - (-557568)\/168?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 1\/6*i**2 + 814323\/2 - 521*i = 0.\nAnswer: 1563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - (-5 + -33)) + (0 - 14)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 3:38 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 121 = 11*x, 47*x + 44 = 51*x + j for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of 5*i**4\/12 + i**2 - 5*i. What is the first derivative of o(v) wrt v?\nAnswer: 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -446 - 2.52194\nAnswer: -448.52194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 6*r**3 + 2*r**2 + 24*r - 13. Let j = -260 - -265. Is g(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 947 + 726 = 7*b. Is b <= 241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 574532\/3 + -199635. Let q = b - -74701\/9. Let s = q + -176. What is the second biggest value in s, 0.4, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91633099477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 6. Suppose k - 19 - 97 = f. Suppose 44 - k = -4*z. What is the remainder when z is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 48, 77, 108, 141?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21441 take away 33944?\nAnswer: -12503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0191 at most as big as 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 21 = 4*t. Let n(d) = d. Let v(k) = -7*k + 1. Let z(i) = t*v(i) - 39*n(i). What is the first derivative of z(y) wrt y?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 8*x**2 + 7*x + 7. Determine v(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 3*m = -2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/9)\/((-21)\/(-28) - 725\/1020). Solve -5*s = 2*c + n, c + 0*c - 3*s = 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 424055043 - -2?\nAnswer: 424055045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, 1\/3, -0.00978, -2\/3?\nAnswer: -0.00978","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5081274cm in kilometers?\nAnswer: 0.000005081274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10919 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -31829.1544 to the nearest integer.\nAnswer: -31829","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-128)*12\/9*6)\/(-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 6*w**2 + 7*w + 5. Let q be d(4). What is the closest to 1 in -10, -0.1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 12*d**4\/7 + 1468*d**3\/7 + 5632*d**2 + 272304*d\/7 - 570240\/7 = 0.\nAnswer: -88, -18, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -29*w**2 - 20*w - 6. Let b(s) = -3*s**2. Calculate t(b(c)).\nAnswer: -261*c**4 + 60*c**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -765.746 * 11.\nAnswer: -8423.206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -43. Let m = -28.74 - r. What is m rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*((-39)\/6 - -5). Suppose 15 = n*v, -2*v + v - 35 = -5*s. Let u(f) = 6*f**2 - 1. What is the remainder when s is divided by u(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -597*f - 5371. Let k be m(-9). Let j(d) be the third derivative of -1\/30*d**5 + 0 - 2\/3*d**4 - 16*d**k + 0*d - 7\/3*d**3. Solve j(u) = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zy when two letters picked without replacement from {i: 1, y: 3, p: 2, z: 2, t: 6}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2. Let r(n) = 7*n**2 - 5*n + 7. Let x(i) = -5*j(i) + r(i). Let d = -19 - -27. What are the prime factors of x(d)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -v + 5*r - 8, 12 = 3*r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4501923 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -18*w**2 + 756*w - 32. What is d(42)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*o + 5*o**2 + 3*o**3 + 11*o - 5*o**3 + 2*o**4 to m*o**3 + g*o**2 + u*o**4 + j*o + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.068855 rounded to 3 dps?\nAnswer: -0.069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 731 = -236*g - 921. Put -3, 27, 0, g, -1\/2 in descending order.\nAnswer: 27, 0, -1\/2, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -161.9242 + 1537847.9242. Let n = j + -1537693.999994. Let i = -8 - n. What is i rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100000 + 0?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 63*z**2 - 38207*z - 2. Let x(o) = -67*o. Give x(t(v)).\nAnswer: -4221*v**2 + 2559869*v + 134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-88)\/(-1408))\/((0\/18)\/(-6) + (-1)\/(-6)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (210\/(-14))\/(-15)*1\/5\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -245 + 0.00862567.\nAnswer: -244.99137433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h + 2. Let w be p(0). Is (74\/w + 0)*73 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 6*z + 2*b + 2749 = 0, -b + 3 = 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8132 = 868*y - 2624*y + 900*y + 963*y for y.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(85) + (sqrt(85) - sqrt(85)*-2))*-2 - (5*(sqrt(85)*2 + sqrt(85)) - sqrt(85)))\/(sqrt(80)*-2 + (sqrt(5) - sqrt(180))).\nAnswer: -5 + 22*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 13\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 i when two letters picked without replacement from {c: 7, i: 2, f: 5}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 29614979*j**2 - 22870362 wrt j?\nAnswer: 59229958*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*3\/(-6)*-7. Let x = v - -26. Let r = x + -5. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 396 and 882?\nAnswer: 19404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 27673743?\nAnswer: -27673744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51\/2 - -26. Let j = -2 + -1. Which is greater: l or j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + y + 20 = 0. Suppose -18*s - 440*s = -57*s + 2406. Sort s, -1, y, 1 in decreasing order.\nAnswer: y, 1, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - 2*x + (2*x + 0*x - x)*(-2 + 1 + 0) + 8 - 15*x - 8.\nAnswer: -18*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-27)*(-5 + 6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17510 + 70043\/4. Which is the fifth smallest value? (a) 5 (b) w (c) -1.2 (d) -4 (e) 4\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4\/5 - 7588*a**3\/5 + 7151546*a**2\/5 + 86639784*a\/5 + 260741448\/5.\nAnswer: 2*(a - 1903)**2*(a + 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 7:15 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 8 + 3 + 125*r - 4071*r**3 + 2*r**2 - 127*r + 6 to y*r**3 + t*r + v*r**2 + k and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -57b694 (base 13) to base 6\nAnswer: -112341250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 54 = 10*b. Suppose -q + 39 = 5*y - 9, -5*q - b*y = -194. What is the greatest common divisor of 14 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 40 + 1 = f, 3*f + 32 = -h. Let y = h + 19. Let w(z) = -2*z**3 + 2*z**2 + 2*z - 3. Determine w(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 48. Let g be y(-3). What is the highest common divisor of 136 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*d - 4. Let f = 25.5 + -26. Let u = 111\/214 - 2\/107. Which is the nearest to d? (a) u (b) f (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 12:33 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 32 = 147. Let y = -23 + a. Solve 3*c = -y*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 2*z + 2, 8*s - 13*s + 3*z + 4 = 0. Sort s, 42, 6.\nAnswer: s, 6, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.20402982*3\nAnswer: -0.61208946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1335 + 216 = 3*n - 4*c, -2068 = -4*n - 5*c. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2557, 5, 583 in increasing order.\nAnswer: -2557, 4, 5, 583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**4 - 16*r**3 + 60*r**2 - 11*r - 6. Let i(m) = 3*m**3 - 12*m**2 + 2*m + 1. Let n(s) = 11*i(s) + 2*l(s). What is the third derivative of n(y) wrt y?\nAnswer: -48*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**3\/6 - 4235*j**2\/6 - 720872*j + 56449878 = 0.\nAnswer: -2154, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m*m\/(m**(-7)\/m)*m**(-21)*m*m*m**(4\/19)*m\/((m\/(m\/(m**(-4\/3)*m)))\/m) assuming m is positive.\nAnswer: m**(-311\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r + 7. Let y be q(9). Suppose 5*a - y = -9. Let i(b) = b - 1. Give i(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2610 in -2\/3, -11\/6, -0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-3*(2 + 3 + ((sqrt(605) - (sqrt(605) + 0)) + 5 - (sqrt(605) - ((sqrt(605) - (-2 + sqrt(605) - sqrt(605))) + -4))))**2*-5.\nAnswer: 3840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, n: 10}. What is prob of picking 3 n?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*72.\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 108656 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 14.7, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -44, -172, -414, -806, -1384?\nAnswer: -2184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -102 + 101.9. Let d = 1 - 0. Which is the nearest to y? (a) -0.5 (b) d (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -123, -186, -249?\nAnswer: -312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -7528?\nAnswer: -7525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 divided by 1.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -14621 and -171.\nAnswer: -14792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**5 + 39896*h**4 - 239322*h**3 + 358956*h**2.\nAnswer: -2*h**2*(h - 19942)*(h - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000020294381565 rounded to 7 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 5*d = -64, 775*k + 6*d + 15 - 93 = 770*k for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.20584, -67, -0.2 in descending order.\nAnswer: 3, 0.20584, -0.2, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23808, 24386, 25350, 26700, 28436, 30558, 33066?\nAnswer: 35960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 7*m**2 - 2*m + 59. Let u(v) = 8*v**2 - 3*v + 59. Calculate 4*u(j) - 5*w(j).\nAnswer: -3*j**2 - 2*j - 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/1100 and -77\/3450.\nAnswer: 75900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21767, 21768, 21769, 21770, 21771?\nAnswer: 21772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 503362\/3 - 167786. Let y(v) = 18*v. Let u be y(5). Which is the biggest value? (a) u (b) -0.4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 + 58 + 109*l**3.\nAnswer: 109*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 7*c - 22. Determine f(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 868996 divided by 868996.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 136.8771 to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.94, 0.83, -10 in descending order.\nAnswer: 0.94, 0.83, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 + 6 = 5*c + 2*o, 12 = -2*c + o for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 702 + 6063. Let x = y + -547952\/81. Calculate the common denominator of x and -14\/27.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24\/5 + -1\/20. Find the common denominator of j and -43\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 46 = -5*c, 2*c - 439 = 4*m - 435 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (455 - 406) + (6 - -1) + 2 + 0 - 11\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-3*((-94)\/(-1128))\/(4\/3).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1895.3 - 7221.8. What is p rounded to the nearest 100?\nAnswer: -5300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/21 of a week in hours?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000235661 to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6*a**3 + 4*a**2 + 5*a + 4. Give t(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 55.19\nAnswer: -11.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 2 + n - 1)*(2 - 2 - 2)*(-1 - 2*n + 1) + (-2*n - n + 0*n)*(-36*n + 12*n - 3*n) - 3*n**2 + 4*n - 4*n to the form i + b*n + g*n**2 and give g.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 10 + 16. Let s(x) = -3*x**3 + 4*x**3 - 9*x**2 - h + 17. Let l be s(9). Solve l*d = -0*d + 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 3:39 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**3 - 3*k**2 - 3 + 9*k**3 - 3*k**3 + k + 6*k**2. Let w be a(1). Solve -2*g - 5 = -w*r, 4*g + g + 24 = r for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 603789 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 641 or 724?\nAnswer: 641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -c**4\/54 + 2*c**3\/9 - c**2 - 6*c. Let k(g) = 0. What is g?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10443 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -133140 - -10118791\/76. Let t = 52\/19 - v. Which is the second smallest value? (a) -3 (b) t (c) 3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*r - 53*r - 27*r**2 + 10*r**2 + 3*r**2 - 26*r**2.\nAnswer: -40*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 10 + (7 - (21 - 10))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.818, -0.9, -2\/7?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -72381 and -72382 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 198173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((536\/(-8))\/(-4623))\/(1\/((-3)\/2))?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 2 - (-2 - (4 + -1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -4 (c) 5457.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2815097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 13 + 12 + 3*j**2. Calculate c(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 91 - 167. Let l = y + 76. Suppose l = 38*s - 41*s + 9. What is the remainder when 17 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**2 + 145*u + 621. Determine g(-56).\nAnswer: 1909","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2*-163\nAnswer: -326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*m + 176 - 104. Let g be (-12063)\/2 + (-2)\/m*-6. Round g to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a centimeter in micrometers?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ptsstmjtjjjata. What is prob of sequence jp?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 11*n - h + 9 = 0, 5*h = 15. Let r = -30 - -45. Suppose -r = 3*b - 39. Solve -4*o + b = -n*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34422+0.4\nAnswer: -34421.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*l - 236 = 0, 2*h - 169 = -h + l. Let g be 2\/(-6) - h\/(-63). Which is the third biggest value? (a) 0.4 (b) -4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4077612 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 637880303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*f**2*l*w**3 + 6426*f**2*w**3 + 7*l*w**3 wrt l?\nAnswer: -6*f**2*w**3 + 7*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5185983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1731 minus -14.5?\nAnswer: 14.6731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.038*0.3\nAnswer: 0.0114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 15 = -3. Suppose 40 = 2*g - b*g. Let z = g - -69. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 70*x - 165*x + 475. Solve x*g + 1034 = 1059 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 4*y - 3092 - 6898, -4*h + 8 = 0. Let f = y - 1256. What is f rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 10.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 11:49 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z\/z**17*z*z)*z*z**9)\/(z*(z**(-1)\/z*z)\/z*z**(-2)*z))**7 assuming z is positive.\nAnswer: z**196","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 + -19.5. Put 0, x, -6 in ascending order.\nAnswer: -6, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*(sqrt(1800) - (sqrt(1800)*2 - sqrt(1800))))**2 - (2 + -5 + (sqrt(72) - (sqrt(72) + 1)) + 2)**2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54055 - 271908 = -10*s + 487. Is s a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = 7*f - 2730. Let h = f + -178. Solve 3*q = -i + 3*i - 6, 0 = -i - h*q + 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**2. Let j(l) be the second derivative of -71*l**4\/4 - 770*l. What is j(v(z))?\nAnswer: -1917*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 10*z - 7. What is i(-4)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6961252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33293.45 centuries to decades.\nAnswer: 332934.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and 1691.804051.\nAnswer: 1691.904051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 184. Let r = 25420 - 25385. Calculate the remainder when q is divided by r.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 17 = -2*g. Solve -c - 3*p + 9 = -5*c, 4*c = -5*p - g for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d = -3*d + 78 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -661 - -361. Let f = 300 + k. Let j(i) be the third derivative of i**6\/120 - i**5\/60 + i**2. Determine j(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 105*l**2 - 1795*l - 713. Determine x(22).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103397 is divided by 14768?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1*(-2)\/((-8)\/(-28)) + (-194)\/36 and -167\/756?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(63490\/175 + (-11)\/(-5)).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 184517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(-21*y**2 - 11*y**2 - 11*y**2) + (2*y - 4*y + 3*y)*(5*y - 3*y + 0*y) - 4*y**2 + 5*y**2 + y**2.\nAnswer: 90*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8775959, 8775928, 8775887, 8775830, 8775751?\n\"Answer: -s**3 + s**2 - 27*s + 8775986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 1166*x**3\/27 + 584*x**2\/9 + 2*x\/9 + 8133. Factor t(h).\nAnswer: 2*(h + 1)*(583*h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -21*u - 10. Let x(d) = -d - 1. Let k(c) = f(c) - 4*x(c). Differentiate k(l) wrt l.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8057 + -1?\nAnswer: -8058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 32 = m, -2*m + 1237*p - 1232*p - 41 = 0. Sort m, -2, 4, 34 in decreasing order.\nAnswer: 34, 4, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 616292853?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3113, -7, -1 in descending order.\nAnswer: -1, -7, -3113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 4*b + 18, -b = 3*l + 2*b. Suppose -l*s + 16 = z + 2, -4*z + 38 = 2*s. Solve t - 6 = 3*t - r, 0 = 2*t - 2*r + z for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235043 is divided by 325?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) - (sqrt(16) + (sqrt(96)*5 - sqrt(96))\/sqrt(6)))\/(sqrt(56)\/sqrt(7)*4).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 37? (a) 0.5 (b) -1\/2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**1)\/n)**(13\/2))**(-5\/7) assuming n is positive.\nAnswer: n**(-65\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0*x*x)**(-1\/13)\/(x*(x**(7\/3)*x)\/x*x**(-1\/8)\/x*x) assuming x is positive.\nAnswer: x**(-1049\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/36)\/(3\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*s + 1210 = -52*s - 32*s for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*3*-3*(3 + (-5 + -1 + sqrt(20))**2).\nAnswer: -1080*sqrt(5) + 2655","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.3, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 711*y - 648*y - 1179045. What is the ten thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = 4*c - 8. Let y = -2 - c. Solve y = -4*g + 12 - 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2dc48a + 0?\nAnswer: 2dc48a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 97, 83\/6, 0, -7?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - w**2 - 5*w + 2. Let t be a(3). Let f(j) = j**3 - 6*j**2 + j + 5. Let r(y) = -y + 1. Let c(v) = f(v) - 2*r(v). Calculate c(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 78\/455*(-20)\/6. What is the third biggest value in j, -1, -5\/3, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and -57.547881.\nAnswer: -56.547881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -1. Suppose -p + 4 + 0 = q. Let z(c) = c**2 + 2*c + 4*c**2 + 1 - p*c**2. Calculate z(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7201*a**2 + 70*a + 3313341?\nAnswer: 14402*a + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = h + n + 1, 0 = -h - 3*n - 13. Let m = -6.4 + 2.6. Let i = m - -4.1. What is the closest to -2\/7 in i, -4, h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of z**5\/5 - 17*z**2\/2 + 1. What is the second derivative of y(a) wrt a?\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**3 + 15*t**2 - 6*t + 11. Let p be y(-7). Let z(d) = -102 + p - d. Let b(f) be the second derivative of -2*f**3\/3 - 5*f. Give z(b(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 1)*(-v**4 + v**4 - 2*v**4) - 186*v**4 + 272287736*v**2 - 272287736*v**2 + 2*v**3 to t*v + s + p*v**3 + r*v**4 + y*v**2 and give r.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 23*p**2 - 22*p + 59. Let t(w) = -3*w**3 + 49*w**2 - 17*w - 8. Let s be t(16). Determine a(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/13 + -27\/91. Let f = 29 - 33. Let o = 77 + -537\/7. Which is the closest to o? (a) i (b) -2\/3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*n + n + 4*n)*(2*n - 2*n - 3*n**2 + (5*n + n - 2*n)*(-2*n + 5*n - 2*n)) as y*n + i*n**3 + a + f*n**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19711 = -4*t - 255. Suppose -5*o + 12341 + t = 0. Let z = -13665\/4 + o. Find the common denominator of 11\/4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10540242 (base 8) in base 14?\nAnswer: -434014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s + 3*s + 2*s + 6. Suppose 2*i + 20 = -3*i. Let f be t(i). Which is bigger: -3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (424\/(-40))\/((-53)\/265) - (10 - 0)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15955\/23937 - -1\/7979. Factor 0*c**3 + c**2 + m*c - 1\/3*c**4 + 0.\nAnswer: -c*(c - 2)*(c + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 2*o**3 - 2*o + 0*o + o**2 + 3*o**2 - 1. Calculate p(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -2*a + 14, -j = 3*a - 2*j + 7. Let t(u) = 29*u**3 + 2*u + 1. Give t(a).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -432*l**3 + 114*l**3 + 960*l**2 - 144 + 148.\nAnswer: -318*l**3 + 960*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 9:55 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q**2 - 2*q**2 + 7 - 7.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*f - 1. Let s = 5 - f. Is 6\/s*-1 + 99 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -707271, -706979, -706673, -706347, -705995, -705611, -705189, -704723?\nAnswer: -704207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - x - 3*x)*(16*x**3 - 1309*x + 257*x - 34*x**3 + 2*x**3).\nAnswer: 32*x**4 + 2104*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (0 - -1) + 99 + 83 + 39 + -122?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 8 - -37 - 25.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wdawhwhhww. What is prob of picking 4 w?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*n - 35*n = -9. Let i be ((-3)\/(-2))\/(1\/(-4)). Let p be 8\/(-21) + (-4)\/i. Which is the nearest to -0.1? (a) 1\/5 (b) n (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, g: 2, c: 4}. Give prob of picking 2 q.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1359749204?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-25)\/(-10))\/(1\/(-2)). Let q(p) = p**2 + 6*p + 9. Let z be q(s). Solve -3*d + 15 = 0, z*d - 3 - 11 = -3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -5493?\nAnswer: 5496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 248*g - 128. Does 12 divide l(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4\/7 (b) -0.8 (c) 0.2 (d) -1 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9010 is divided by 220?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -982?\nAnswer: -982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 833.724*-511\nAnswer: -426032.964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m**3 - 1. Let b be r(1). Let l(d) = d**3 + 6*d**2 + 5*d + 6. Suppose 14*g = -0 + 28. What is the smallest common multiple of g and l(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 15*d**2 + 15*d - 11. Let b be g(-16). What are the prime factors of -4 + (40 - (1 - b))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of 24649*l**5\/20 + 157*l**4\/4 + l**3\/2 - 2*l**2 - 50. Let a(o) = 0. What is o?\nAnswer: -1\/157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -867*z**2\/4 + 357*z\/2 - 147\/4.\nAnswer: -3*(17*z - 7)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 112 + 23. Let i = b + 0. What is the remainder when i is divided by 489\/21 + 2\/(-7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -461, -5, 7 in ascending order.\nAnswer: -461, -5, -4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 392469759 - 392469759 + 3*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/9*m**3 - 4\/9 + 10\/9*m - 8\/9*m**2 = 0. What is m?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 5 - 5)*(2*c + 4*c - c + (-2*c - 2*c + 6*c)*(1 + 2 - 1))*(-1 + 1 - 1) - 6*c + c + 2*c as v + w*c and give w.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 35305 (base 11) in base 14?\nAnswer: 147d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-13)\/((b*b**26)\/b) assuming b is positive.\nAnswer: b**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6)\/(x\/(x\/x**18*x)))\/(x**11*x**(2\/25)) assuming x is positive.\nAnswer: x**(-852\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*v**3*z**2 + 21*v**2*z - 60*v*z + 2*v + z**2 wrt v?\nAnswer: -24*v*z**2 + 42*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*b**2 + 893*b + 23394.\nAnswer: (b + 42)*(8*b + 557)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4.23 (b) -1\/8 (c) -2\/17 (d) 3 (e) 17.29 (f) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 432630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 1 = -2. Let f = h - -3. Suppose -3*i + 69 = -f*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - 1)*(0 + -1). List the prime factors of (1 - -1) + (-32)\/h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63 - -73. Let u be ((-2)\/16*-4)\/(1\/t). Suppose 0 = -3*r + u*l + 4382, -3*l = -0*r - 2*r + 2923. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 4*r + 25 + 34, 3*n + 63 = -3*r. Let h = n - -27. Calculate the least common multiple of 18 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -18. Solve -r*o - 6 = -2*m, -3*o + 0*m + 13 = 2*m for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -97*g. Let u(d) = -2*d**2 + 71*d. Calculate t(u(r)).\nAnswer: 194*r**2 - 6887*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64 + -63.5. Let u(k) = -2*k + 2. Let l be u(2). Which is the second smallest value? (a) z (b) 0.4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2.06, 1\/3, 14, -2\/3, -39, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436137 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 8:52 AM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-5) + 48\/120. What is the closest to 2 in -5, s, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5*c + 2 + 1, 2*i = 4*c + 2. Suppose -3*l = -4*t - 25, -3*t - 3 + 0 = 0. Let y = i - l. Solve y = -w + 9 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rqhh when four letters picked without replacement from {q: 5, y: 5, r: 2, a: 1, h: 3}?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -43, -60, -93, -148, -231?\nAnswer: -348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 1)*(-3*l + 4*l - 17*l + 1) to the form u*l + d and give u.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23002704 and 81787392?\nAnswer: 736086528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -30*p - 236. Let j be k(-8). Solve j*a = -h - 0*a + 18, -3*a + 15 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 357436154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -23. Sort v, -5, -3, 4 in ascending order.\nAnswer: -5, -3, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 206.349 - 1100.539. Let j = z + 890. What is j rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 9\/2*y**3 + 3*y**2 + 0 + 0*y**4 - 3\/2*y**5 + 0*y = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -521 + 561. Calculate the common denominator of (177\/84)\/(50\/c) and 49\/50.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - r = -2*o, -2*r + 15 = -5*o. Put o, 0, 1 in descending order.\nAnswer: 1, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.9884 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjclxxgxjjgljxj. Give prob of sequence gcl.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/20 and 4 + -23 + (-707841)\/(-37266).\nAnswer: 124220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, x: 1, y: 1, v: 1, p: 2}. What is prob of sequence bby?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (57 - 43) + 51 - 16\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2627.3 times -6\nAnswer: 15763.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, s: 4, f: 1}. Give prob of picking 1 q and 1 f.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 11 - 5 = 0. What is the third derivative of -r*o**4 + 4*o**2 + 2*o**4 + 2*o**2 + 0*o**2 wrt o?\nAnswer: -48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*v + 6*v - 6*v)*(-3 + 3 - 1).\nAnswer: -14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3030280 to the power of 1\/2, to the nearest integer?\nAnswer: 1741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 equal to -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m + 12. Let b be n(9). Find y, given that 2\/5*y**b + 0*y**2 - 2\/5*y + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 471 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 207300 to the power of 1\/2, to the nearest integer?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47*i**4 - 3*i**2*l**2 + i*l + 140*l**2 wrt i?\nAnswer: 564*i**2 - 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -f + 31, 0 = t + 2*t + 2*f - 20. Let c = t + -4. Calculate the smallest common multiple of 10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -174 + 173. Let a = 415\/549318 - 2\/861. Let k = a + -1261\/9570. Is w <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d**2 + 5*d - 5*d - 6*d**2 + 7*d**2.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5074?\nAnswer: 2, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1222 or 1223?\nAnswer: 1222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1)*i*i**(-2\/7)\/i*i)\/((i**(-2)\/i*i)\/(i\/(i\/i**5))))\/((i*i*(i**(-2\/3)*i)\/i)**4*(i*i\/i**(1\/7))\/(i\/(i\/i**(1\/7))*i)) assuming i is positive.\nAnswer: i**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 9 = 3*i, -1 = i - 0*i - n. Suppose -29 = -5*w + r, r + 21 = 5*w + i*r. Let b be (14\/5)\/((-4)\/(-20)). Sort 0, b, w.\nAnswer: 0, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/3 - -2)\/((-2)\/(-15))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/6*(-36)\/24\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14677034.0000066 + -14677031. Let i = 250 + -247. Let d = i - w. What is d rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 8*m - 5. Suppose -20 = -4*x + 20. Let a(z) = -z + 1. Let y(n) = x*a(n) + 2*b(n). Find the second derivative of y(l) wrt l.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-11472)\/(-80)*(-5)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 + 2793858*m + 40 - 21 - 19 - 2793850*m.\nAnswer: -2*m**2 + 8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5105479 and 232.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31417481?\nAnswer: 227, 138403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4769265025?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -6*(sqrt(112) + 2*sqrt(112) + sqrt(112)) + 3 + 1)**2.\nAnswer: -1728*sqrt(7) + 64593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -137, 50, 3, -5 in decreasing order.\nAnswer: 50, 3, -5, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 3. Let r be (2\/(-3))\/((-4)\/18). Suppose 0 = 6*g - r*g + 3. Which is the nearest to g? (a) h (b) 0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*k + 265 - 924 = 468 for k.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1092*o**2 + 101*o + 547*o**2 + 549*o**2 - 101*o.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000140015 to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 24580*m**3 - 830*m**3 + 2164*m**3 + 2.\nAnswer: -23246*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -823 - 11328 = -52*v + 8909. Calculate the greatest common divisor of 45 and v.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 3*g = -58 + 81, -101 = -8*n - 3*g for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -3\/8 (c) -166567 (d) 0.0252\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 0*n + 50. Suppose -c + 5*a - 8 = 4*a, 4*c = a - 38. What is the least common multiple of n and 4\/c + (-246)\/(-15)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22.9 at least as big as 1390?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 6.8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + q - 17 = -q, 3*h = -4*q + 9 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.508 + -0.118. Let p = 650 + -660. Is m greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 43*b**2. Let q(h) = h. Let i(z) = k(z) + q(z). Let r(j) = 10*j + 19*j - 68*j + 38*j. Give i(r(v)).\nAnswer: 43*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 10:12 PM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + -3*1)\/((-152)\/228). Solve -5*b - 2*d - 4 = 0, -b - d = l - 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1232009029?\nAnswer: 79, 1867, 8353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2*h - 10. Suppose 5*b + 0*b - 285 = 4*n, -h*n = -b + 78. What are the prime factors of b?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -275 - -279. Calculate the lowest common multiple of 54 and 41622\/231 + w\/(-22).\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 5, -3 in descending order.\nAnswer: 8, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 2*c - 10 = -0*v, -4*v - c - 11 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*j - 49*j = -54439. Calculate the remainder when j is divided by 58.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w - 4*w**2 - 3*w**3 - w + 8*w - 8*w to z + q*w**3 + h*w + f*w**2 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 427999?\nAnswer: 11, 13, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**2 + 2*y**2 + 3 - 3*y**2 + 3*y + 2*y**2. Let s be d(4). List the prime factors of s - ((-21)\/3 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*w - 12 = -68*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -73220.6 rounded to the nearest 1000?\nAnswer: -73000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-19)\/(-3))\/(3 - (-176)\/(-60)). Let v = -79 + m. Suppose -3*j = 0, 0 = 4*w + 5*j - 0*j - v. Solve -w*x + 2*k - 3 = 13, 0 = -4*k for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 - 1468*t + 1468*t.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 26*s**3 - 5*s**2 + 10*s - 9. Let r(h) = 27*h**3 - 6*h**2 + 12*h - 10. Let m(g) = -6*d(g) + 5*r(g). Differentiate m(u) with respect to u.\nAnswer: -63*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -31108.7.\nAnswer: 62217.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2850\/1859?\nAnswer: -2850\/1859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -z**6 - z**2 + 4*z**6 - 674*z**5 - z**6 + 23*z**5 - 467*z - 3*z**6 wrt z?\nAnswer: -120*z**3 - 39060*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-18) - (-1)\/(-3). Which is greater: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6315 + 6310. Let v(a) be the third derivative of -7*a**6\/120 + 13*a**5\/60 + a**4\/6 - a**3 - a**2. Is v(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 2*s**2 + s + 4. Let i be (0 - (-5 + 3))\/(-1). Suppose 1 = -o + 5. Let g be -1*i\/2 - o. Determine q(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 3600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -157 + 170 - 172 - j**2 - j + 2*j - 3*j wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2390 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: Solve 0 = -252424*i + 252421*i - 15*f - 87, 5*f = 4*i - 9 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) 0 (c) 0.5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43023560 rounded to the nearest ten thousand?\nAnswer: 43020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5\/(-4))\/((-3)\/12). Suppose a*i = 20, 3*b + 3 = -0*b + 3*i. What is the third derivative of k**2 - k**3 - k**b + 0*k**3 wrt k?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4163.5 - 4163.50121908. Round w to 5 decimal places.\nAnswer: -0.00122","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/567 and -7\/108.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3000 + 3007. Calculate the least common multiple of 944 and z.\nAnswer: 6608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4808571 or 4808574?\nAnswer: 4808574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 260902385 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -437 - -613. Let p be (-12100)\/825*1\/2*-3. What is the highest common factor of p and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 5 - 24 - 1 = -8*v + 5*v, 6*d - 7*v + 38 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r + 5 - 5)*(-2 + 2 + 3*r) + 21*r**2 - 2 + 3*r - 22*r**2 - r as u + k*r**2 + b*r and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 815322347?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 9:28 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2612686 is divided by 41?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13866*u**2 - 52*u**3 - 13866*u**2.\nAnswer: -52*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1.1 (b) -0.15 (c) 9\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r + 2*l, -62*l + 31*l = -36*l - 10 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1437.4 - -1402.332. What is x rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(3\/2)\/(((f**(-26)*f)\/f)\/f) assuming f is positive.\nAnswer: f**(57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**2 - 4*m**2 + 31*m**2 + m**2 - m**2 + 2*m**2 + (-m + 0*m + 0*m)*(-3 + 3 - 2*m) - 21*m**2 + 212 - 212.\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1206 - 2*b**3 - 1210 + 4*b**3.\nAnswer: 2*b**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + 3*(sqrt(5) + sqrt(15)\/sqrt(3))**2)*-2.\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (141 - (-15 - -8))\/(44 - 48).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 237612 (base 8) to base 11.\nAnswer: 56506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 25833673, 25833674, 25833675, 25833676?\n\"Answer: x + 25833672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2\/5 + 92766*u\/5 - 2384640.\nAnswer: 3*(u - 128)*(u + 31050)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 18. Let g(b) = -b**2 - 10*b - 6. Let v be g(z). Suppose d - 23 = -v. Is 10 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1075\/265 - (-1593)\/(-28143).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 359, 350, 341?\nAnswer: 332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9722609 and 123071.\nAnswer: 9722609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2. Let d(x) = 56287*x. Give d(q(y)).\nAnswer: 112574*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/3 - (16\/(-3) - -5). Let a be y - (-5 + (-1 - -13)). Sort 12, a, -4, 0.\nAnswer: a, -4, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3516 and 6153.\nAnswer: 24612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1cbc + 1?\nAnswer: 1cbd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 + 1127\/69)\/(1\/(-3) - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3601 and 6.18?\nAnswer: 3594.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 3450.1891 to the nearest 100.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (24\/(-18))\/(-2)*114. Suppose 4*q - 4*x = 252, 0 = q - 0*x - 4*x - 54. Let z = u - q. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 1:49 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00014780431 rounded to five decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**3 - 46*c**2 - 5*c + 5. Let z(p) = 2*p**3 - 45*p**2 - 4*p + 5. Determine -4*n(s) + 5*z(s).\nAnswer: -2*s**3 - 41*s**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1536 = -66*o + 207 - 27. Solve 9*g + 80 = o for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-126)\/(9 - 27) - (-2 + (-345)\/(-39)). Do j and -3\/1118 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.84796 - 0.15204. Sort -4, i, 26, 3\/4 in descending order.\nAnswer: 26, 3\/4, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34 - -914)\/(-40) + (-2590)\/(-115).\nAnswer: 12\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**2 + 7*q - q + 8 + q**2. Let k be g(8). Let b(l) = l**2 + 7*l + 10. Is 18 a factor of b(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, a: 1, v: 4, r: 6, u: 3, x: 2}. What is prob of sequence rv?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 271510639?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6424 a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10212012 (base 4) in base 12?\nAnswer: -aa86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5309439?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 15. Let i be c(8). Differentiate 6 - i - 7 + 7*w**2 wrt w.\nAnswer: 14*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14450038819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/7 + (-4)\/(-35). Let l = -0.8 + 0.3. Let z = -0.4 - l. Which is the nearest to -2? (a) -2 (b) i (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*5)\/((-2*(-36)\/56)\/((-186)\/434)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3483948595 less than -130?\nAnswer: 3483948465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7e8 (base 15) to base 13.\nAnswer: -a7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*h - 76*h - 170 = 64*h for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25154395?\nAnswer: 5, 7, 83, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 9, s: 5}. What is prob of picking 2 s and 2 l?\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yr when two letters picked without replacement from cyycyppyyppry?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 92 + -19. Suppose 39 = s - 4*h, 5*s + 36 - 356 = -5*h. Suppose 5*g - m - 78 = 2*m, 4*g + m - s = 0. Calculate the remainder when u is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 164 = 148. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -708, -782, -866, -966, -1088, -1238, -1422, -1646?\nAnswer: -1916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.45122 centuries?\nAnswer: 541.464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + (-4)\/((-5444)\/(-2711)). Let p = w + 400079\/6805. Let x = p - 2626\/45. Do 1 and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 12*o - 53. Let j be m(12). Calculate the highest common divisor of 7 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -ac6d (base 14) to base 5\nAnswer: -1424024","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -7. Suppose -4*t - 18 = -3*n - 2*n, 0 = -2*n + 5*t + 14. Suppose 5*x + 21 = -q, 5*x = -3*q - n*q - 45. Which is smaller: k or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 124 - 84. What is the remainder when 132\/11 + -6 + (3 - (9 + -74)) is divided by t?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 12 = -3*t, -4*t + 6 = -2*t. Suppose c + 4*i = 40, -4*i + 40 = -184*c + 183*c. Solve 0*d + 3*d + z = c for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24154222 - -512?\nAnswer: -24153310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n + 442 = 562 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*x + 34*x - 1199 = 1798 for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -108735, -435173, -979333, -1741215?\n\"Answer: -108861*v**2 + 145*v - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 1 - (11 - (26 + -3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 638*i**2 - 56 + 15 + 41 - 35*i**2.\nAnswer: 603*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 1931*h + 310510. Give i(177).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 9*x + 286. Let i(q) = -2*q - 52. Let m(u) = -2*h(u) - 11*i(u). Let n(r) be the third derivative of -r**4\/12 + 8*r**2. What is n(m(g))?\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {m: 4, n: 16}.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-13)\/5 + 3 - (-6339)\/15. Suppose -1079 = -8*k - n. List the prime factors of k.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13.058354 - -425.939576. Let y = 282 + 157. Let i = s - y. Round i to four dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 988195 is divided by 446?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmmfdmfbpbdpm. What is prob of sequence dp?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13397 + -13392. Let g = -2.8 - -2.3. What is the second biggest value in j, g, -0.2, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 60 = 6*d. Let k = -16 - -25. Suppose 18 = 12*u - k*u. Calculate the remainder when d is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + -8. Let v be (-118)\/(-5) - m\/5. Factor -v*i**3 - 24\/5*i - 96\/5*i**2 - 2\/5.\nAnswer: -2*(4*i + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*39\/(-24))\/((-65)\/(3900\/15)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 5. Let x = n - -0.9. Let q = -0.19 - 0.81. Which is the third biggest value? (a) q (b) 2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**4 - 99*d**3 + 312*d**2 + 604*d - 816 = 0?\nAnswer: -102, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 4*c - 5*c)*((-1 + 0 - 1)*(1 + 3 - 2) - 1 + 4 - 17) + (3 - 3 + c)*(5 - 5 - 2).\nAnswer: 34*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 219330661 to the power of 1\/4, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9 - (-10)\/(-15)) + (-17 - -10). Is -233 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 86 * -0.12302136.\nAnswer: -10.57983696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17532176, 35064353, 52596530?\nAnswer: 70128707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3622 - -5492. Suppose 2340 = 2*g - 4*q - f, -2*g = -q - 4201. Suppose 16*a = 15*a + g. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -443\nAnswer: -8\/443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(245)*1 - sqrt(245)) + sqrt(245))*6)\/(2*sqrt(28)))\/((sqrt(5) - (sqrt(75)\/sqrt(5))\/sqrt(3)) + -4*sqrt(35)\/sqrt(7)).\nAnswer: -3*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 7*q**2 - 2*q + 9. Calculate i(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -19440*b + 11*b**4 - 7*b**4 - 4944 + 3672*b**2 - 18384 - 212*b**3 = 0. Calculate b.\nAnswer: -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02803 times -88\nAnswer: 2.46664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g + g - 57 - 52 + 3*g as k + x*g and give k.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o + 5*l + 7043 - 7080, -l + 17 = -3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 25 = -10. What is the remainder when 5 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*l = -11*l - 72 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 4.579201ms?\nAnswer: 4579201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/u**(2\/7)*u)*u**(9\/5))\/(u*u**(1\/3))**26)**(-1\/5) assuming u is positive.\nAnswer: u**(3526\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((-80)\/64 + 524\/(-80)).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/3*(-6)\/63?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w*w*w\/(w*w**17)*w)\/w)\/(w*w*w*w**(3\/5)))**(-14\/5) assuming w is positive.\nAnswer: w**(1232\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 563 - 563.3. Sort -2, 4, 1.9, x in decreasing order.\nAnswer: 4, 1.9, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(150\/10))\/(2\/(-18)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 11:46 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-28)*h**(-16)*h*(h**(-2\/27))**(-2\/41) assuming h is positive.\nAnswer: h**(-47597\/1107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 1 - 18)*(5 - 2 - 1)*(1 + z - 1).\nAnswer: -72*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6319616623 to the nearest integer?\nAnswer: 1849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1927.944 + 1908. Let i = 37 + -57. Let z = y - i. What is z rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-2)\/a)\/a)**(16\/7))**14 assuming a is positive.\nAnswer: a**(-128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.469*418.41.\nAnswer: 196.23429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -t**5\/20 - t**4\/2 + 7*t**3\/6 - 2*t. Let w be 4*-7*(-3)\/(-12). Let q be h(w). Solve 4*b - 8 - 4 = q for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 - (46\/(-4))\/((-8)\/(-20)*5). What is the fourth smallest value in 23, h, 2, -0.2, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/122, -4, 0.4, 79247.\nAnswer: -4, -3\/122, 0.4, 79247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -336*m - 171405. What is y(-510)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 7*x**2. Let t(d) = 3*d - 11. Let i be t(6). What is z(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2 + 10*o + 19. Let r be c(-3). Let y(b) be the first derivative of -b**2\/2 + 7*b + 4. Let s be y(r). Solve -t = -s*t - 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 5:22 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*r + 386 = 194 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x**2 + 1. Let s be h(1). Let t be (s\/(-4))\/1*3*2. Let o(y) = -8*y - 3 - 15*y + t. Let a(v) = 2*v**2. Calculate o(a(w)).\nAnswer: -46*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1756, 3, -4 in ascending order.\nAnswer: -4, 3, 1756","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xnnbgbggx. What is prob of picking 1 n, 1 b, and 1 g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 65 = 15. Is 25 a factor of 4\/20 - 2216\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-393 - 1312 - 4)*(b - b + b) + 0*b + 0*b + b.\nAnswer: -1708*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -30, 15, -3, 97, -4, -1 in ascending order.\nAnswer: -30, -4, -3, -1, 3, 15, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + 56 - 135 - -83.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22555?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 7*u - 20. Let p be (37 - 30)\/(21\/6). Solve -5*b - u = p*w, 3 = -2*b - b - 3*w for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -12*r + 7*r. Let l be 2835\/(-3150)*10\/(-3). Solve 0 = 3*i + r*p - 5, 2 = -p + l*p for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 9*v**2 - 9*v - 4. Let n be g(10). Suppose 0 = n*i - 2*i - 448. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -3580.\nAnswer: -3580, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -303.2 - -303. Let f be ((-2)\/5)\/(1 - -1). Suppose 5*h + 9 = 2*h. Which is the nearest to m? (a) f (b) -1\/4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 + 13 - 18) + -5?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*h**2 + 1551*h - 1512.\nAnswer: -3*(h - 1)*(13*h - 504)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1\/(p*p**(-2\/27)\/p))**23 assuming p is positive.\nAnswer: p**(667\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1639 is divided by (-2 - -26) + 3 + -1 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 572708840 to the nearest integer?\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -38 - (0 + -11)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9838005 a multiple of 465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -9*-1*2 + -69*(-1008)\/1288\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 3*r + 133 = 71 + 29, 7 - 2 = 5*r for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 8*t + 36. Let s(h) = 3*h + 12. Suppose -7085 = 7*z - 7183. Calculate z*s(d) - 5*l(d).\nAnswer: 2*d - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9\/10 of a decade?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and 718644184825?\nAnswer: 718644184824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*n + 5. Suppose 5*m - n*m = -4*v + 30, -2*m = 10. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wbbn when four letters picked without replacement from bnbwnknnnnhnbnb?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c + 1. Let v be h(-3). Let l = -8 + v. Suppose -2*x = -4*b + 3*x - 17, 2*b = -l*x + 14. Is 2 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6*(-4)\/8 - 8899997. Round u to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 6*j - 3. Let x be u(-3). Let i be 5*-3*x\/9. Let n be i\/(-3)*(-6902 + 2). What is n rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 506 and 53866.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85119 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6033, 12118, 18197, 24270, 30337, 36398, 42453?\n\"Answer: -3*w**2 + 6094*w - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.08 - 2.92. Suppose 0 = p - 5*p - 16. Let k be (-3)\/6 + 2 - 0. What is the third biggest value in j, k, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.05 less than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + -2)\/((-1)\/2). Let m(c) = 6*c + 4. Let l(d) = 2*d + 1. Let q(v) = f*l(v) - 3*m(v). Let z(n) = -n + 1. Determine 5*q(o) + 8*z(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-14)\/(-4))\/1 + 15\/30. Suppose 5*d + 3*v - 31 = 4*v, t*v = d - 10. Suppose d*z = -0*z + 12. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 188700 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -45*((3 - 2) + 0). Suppose -k - 57*w = -56*w + 13, -w - 11 = 0. Sort z, -1, k in increasing order.\nAnswer: z, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/10*(-40)\/16?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 3*k**2 + 130*k - 328. Let m be v(-14). Solve -2*w + 2*p - m = 0, -3*w + 11*p = 9*p + 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-33) - -2 - 3. Suppose 0 = 13*y - 0*y - 39. Suppose -r = -y*r + 3*r. Which is bigger: r or o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 4*m + 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + d**2 + 46. Let b be i(0). Suppose -2*f - 3*f - t + b = 0, 0 = f - 2*t - 7. What is the highest common divisor of 9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.06 - 7.51. Let a = n - -9.6201. Let o = a + -0.04707. What is o rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + -39. Let d be u\/33 + 26\/6. Let n be d\/(7\/4 + -1). Solve n = h + 9 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -787108*u**6 - u**4 + 244*u**2 - 3*u - 244 wrt u.\nAnswer: -94452960*u**3 - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 - -43. Solve 0 = -4*d + o*y, -6 = -d + y + 3*y for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13716794 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2720926 < 2720926?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-2))\/((-2)\/(-4)). Let x = -380\/579 + -2\/193. Is x less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - k - 22 = 0. Let n = -7 + k. What is the second derivative of -v + v**4 - 2*v**4 + 0*v**n - v**4 wrt v?\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29169475979.00000221 - -29169475755. Let n = 224 + z. Round n to 7 decimal places.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 94*l**2 - 8*l - 14. Is 14 a factor of d(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y**2. Let a(d) = -15909*d**2. Determine s(a(b)).\nAnswer: -1265481405*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 123045?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3381)\/4830*(-2375)\/(-532).\nAnswer: -25\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssqsrsvrs. What is prob of picking 1 s, 1 r, and 1 v?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1902125, -3804287, -5706449, -7608611, -9510773, -11412935?\n\"Answer: -1902162*b + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w - 4. Let z(s) = -3*s + 13. Let a(m) = 11*k(m) + 4*z(m). Suppose -4*j + 31 - 11 = -2*x, -4*j - 2*x + 12 = 0. Calculate a(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0609570907 rounded to three decimal places?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -15249 to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -5387830?\nAnswer: -16163490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 - (-69 + 144) - -49?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1637737 to the nearest one thousand.\nAnswer: -1638000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 51.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-7))**(33\/7)*b**(4\/17)*b*b*b**17)**(-41\/5) assuming b is positive.\nAnswer: b**(44157\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -392 - -393. Sort 0, s, 2 in decreasing order.\nAnswer: 2, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -59, -72, -87, -104?\n\"Answer: -h**2 - 10*h - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6))**(-17)*(a**(5\/6))**(-3\/25) assuming a is positive.\nAnswer: a**(1019\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5*o - 15. Let x be q(7). Let i = x + -12. Solve i = 4*k, -2*k - 2 = -3*j - 3*k for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 times 201?\nAnswer: -8643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1976.2 rounded to the nearest 10?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 0 - 1\/4*f**3 + 0*f - 1\/4*f**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/6 and 5\/152.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxc when three letters picked without replacement from xcccxcccxcc?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*p**3 - 5*p**2 + 2*p + 0*p - 7*p**3 in the form y*p**2 + j*p**3 + s + u*p and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28*u - 7*u - 10*u - 1)*(u + 1 - 1 + (-u + 2*u - 2*u)*(-2 - 1 + 2) + 0 + 0 - u) + 5*u**2 + u**2 - 29*u**2 as b*u**2 + o*u + c and give b.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 33601 in ascending order.\nAnswer: -5, -2, 33601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*x, -4*j - x - 2 = -6*x for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1971*f + 549*f = -33455 - 165910 - 4755 for f.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 5:50 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = o - 120. Let l = -89 + 48. Let n = l + o. What is the highest common divisor of n and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/10)\/t**(-25)*t**(2\/75)*t**(-30) assuming t is positive.\nAnswer: t**(-761\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-5)\/2)\/(-5))\/((-16)\/(-32)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 6 = m. Solve w - m = 0, -z - 3*w = -0*w - 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 15, u: 3}. Give prob of picking 1 n and 1 u.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*d - 6 = 6*d, -a = d + 1. What is the tens digit of (6\/15)\/(a\/10) - -13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 788502586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*p - 10 = 0, -4*a = 5*p - 70. Let o = -890 + 904. Calculate the least common multiple of a and o.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*c + c - 3*c)*(14 - 14 - 2*c**3) to j + w*c**2 + i*c**4 + d*c**3 + u*c and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + (-12)\/3 - -137. Let t(k) = k**2 + k + 5. Let n be t(-4). What is the greatest common factor of n and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -12*l - 8. Let z be -1 - -3 - (-1 - -4). Let y(f) = f**3 + 14*f**2 - 15*f + 8. Let h be y(-15). Let n(o) = -o - 1. Determine h*n(q) + z*m(q).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83 + 0.05.\nAnswer: 83.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17.3 - -0.3. Let t = n - -17.2. Which is the closest to t? (a) 3 (b) -1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 - 1.513.\nAnswer: -12.513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-8) - (-16)\/32. Let s = -5 - -1. Sort 5, b, s, 2\/11 in descending order.\nAnswer: 5, 2\/11, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*i = -4. Suppose -i*j - j = -27. Let o = 21 - j. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k - 29. Give r(-12).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*j = -13, -5*c + 7*c = -3*j - 14. Calculate the remainder when 53 is divided by c\/(-8)*1*88.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 - 3*m. Let g be a(2). Suppose -4*b = 4*d - 0 - 16, g*b + 4*d = 6. Let v(o) = -9*o**3 + 5*o. Let u(r) = 8*r**3 - 4*r. Give b*u(i) + 4*v(i).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7263*s**4 + 2 - 159*s**5 - 7263*s**4 - 56*s wrt s.\nAnswer: -3180*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 172340155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -222? (a) -0.5 (b) -2 (c) 4 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74141809 and 1772?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/15, -2\/15, 1\/3, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**3 + 2*d**2 + 4*d - 9. Let v(j) = -1548 + 5*j + 2*j**2 + j**2 + 1538 + 2*j**3. Let z(o) = -6*k(o) + 5*v(o). Does 6 divide z(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15586*1*3\/45. Let r = -1036 + i. Calculate the common denominator of r and 34\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/5482431 and 13\/117557.\nAnswer: 60306741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3390, -3389, -3388, -3387, -3386?\n\"Answer: i - 3391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 42*r - 10. Let y be w(4). Let x = y + -98. What is the greatest common divisor of 12 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 6)*(-2)\/(-125). Which is the biggest value? (a) q (b) 1\/6 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + 1 + ((-95)\/15)\/1. Let j = -0.3 - 4.7. What is the nearest to j in -8, 5, h?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhwwujdqqjddjj. What is prob of picking 1 h, 1 q, and 2 w?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -4*r - 6. Suppose 3*s - 2 + 5 = 0. Let g be -3 + s*(0 - -1). List the prime factors of q(g).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -183. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26788.712 rounded to the nearest ten?\nAnswer: -26790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -145.245 rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p**4\/5 - 8*p**2\/15 = 0. What is p?\nAnswer: -2\/3, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19794047?\nAnswer: 7, 13, 217517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2119 divided by -24868\nAnswer: 2119\/24868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -b288?\nAnswer: b28a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of m**4\/12 + m**3 - 2*m**2 - m + 1. Let v(z) be the first derivative of p(z). What is the tens digit of v(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 32 + 12 + 31*c**2 + 14 + 37*c**2 to x*c + u + l*c**2 and give l.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 198932.841 seconds to days.\nAnswer: 2.3024634375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 6*i - 3. Let l be d(-5). Let s = 10 + l. Suppose -2*o + 764 = s*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16161.42 - -7.\nAnswer: -16154.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*u + 5 + 139 = 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35647 + -35646.6. Let t = -0.1 - 0.9. What is the nearest to t in 0.07, -2, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 4.0776994.\nAnswer: -0.9223006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cr when two letters picked without replacement from {c: 5, r: 5}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -293 - -317. Find m such that 5 - 4 + 9 + 3*m**2 + 11 + z*m = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 171865881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10467 by -3489.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/1910 and 57\/1910.\nAnswer: 1910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -994, -2566, -4124, -5662, -7174, -8654, -10096, -11494?\n\"Answer: d**3 + d**2 - 1582*d + 586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -0.2, 5, -0.5, 898, 4, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-10)*234\/(-39)*-15?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 10*h**2 + 40181*h + 40320619. Let o(n) = 15*n**2 + 60270*n + 60480930. Let u(p) = -7*o(p) + 10*t(p). Find b, given that u(b) = 0.\nAnswer: -2008","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.003 * -15\nAnswer: -0.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1190*j = -1290*j + 6397200. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 58\/(-8)*(-24 + (1 - 9)). Suppose 2*t - u - 208 = 0. Is 35 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 15*h - 5. Let a be x(-15). What is the closest to -1\/2 in 5, 2, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3640*l + k = -3644*l - 1, -k = -l + 3*k - 13 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -4 (c) -426 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 8:28 AM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2027297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1928\/3856)\/(2\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*b = 282*b - 7570 + 8051 + 3407 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/10*(1 - -1). Let d be 0 + 0 + (-2 - y). Let b(c) = -1 - 3*c**2 - 3*c**3 + 2*c**3 + 2. Give b(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/3)*l\/l**(-24)*l*(l**(4\/3))**(-6\/13) assuming l is positive.\nAnswer: l**(1003\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -302 or 22?\nAnswer: -302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k - 11. Let s(h) = h - 1. Let z(f) = -c(f) + 5*s(f). Give z(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 814 and 2101.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5491*y + 4896*y - 13500*y as t*y + g and give t.\nAnswer: -14095","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**3 - 3*m**2 + m - 1. Determine u(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 3*d - 4. Determine t(7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7048.91 millilitres in litres?\nAnswer: 7.04891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**4 - 1245*c**3 - 21471*c**2 - 12795*c + 121482 = 0. What is c?\nAnswer: -397, -17, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-2*sqrt(38) - sqrt(38)) + sqrt(38))*2)\/(sqrt(8)*2))**2 + 2 + -1 + (sqrt(304)*1 + 0)**2.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + q + 4*q**2)*(-2*q + 2*q + 2*q**2)*(-2 - 1 - 2).\nAnswer: -40*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/6 and 1659\/414 + (3 - 8)?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**23)**(-18)*o**(2\/11)*o**25\/o*o assuming o is positive.\nAnswer: o**(-4277\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 59*b. Let s(g) = 13*g + 501. What is s(h(r))?\nAnswer: 767*r + 501","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46159398 - -46159397.779999876. Let n = 0.22 + g. Round n to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3402*i + 3432*i + 3569550. Round i to the nearest 1000.\nAnswer: -119000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 24095.02 (b) 0.6 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 18, 21, 3 in increasing order.\nAnswer: -5, 3, 18, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + 4*b**2 - 2*b**2 + (3*b - 3*b - b)*(-2*b + 0 + 0) - 2 + 2 + b**2 - 3*b + 3*b + 2*b**2 + b**2 + 4*b - 4*b)*(0*b - 17*b - 8*b).\nAnswer: -175*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20.60475*1.\nAnswer: 20.60475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1441377 to the power of 1\/2, to the nearest integer?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 833 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: Convert d2 (base 15) to base 11.\nAnswer: 16a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f**3 + 77*f**2 + 11*f. Let s(w) = 2*w**3 + 44*w**2 + 6*w. Let h(a) = -4*b(a) + 7*s(a). Factor h(v).\nAnswer: 2*v*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p - 1. Let w be c(5). Calculate the greatest common factor of w and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 - 2) + 25 + -5. Let o = 110 + -105. Solve -z + 53 = -o*f + 4*b, -b = 3*f + 11 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2868899671 to the nearest integer?\nAnswer: 1421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 2*f - 1. Let v = -6 - -16. Suppose 3*l - 4*l = 0, -5*k - 4*l = -v. Suppose m + k = 3. What is c(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 357.1318 milligrams to grams.\nAnswer: 0.3571318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*p - 772*p + 7733994 = -24*p. Is p a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5928 divided by -24\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a - 24. Let b(z) = -2*z + 25. Let x(i) = -2*b(i) - 3*y(i). Let h be x(11). Solve 28 = -h*t - 5*t - 3*p, 3*p = 3*t + 12 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**14*h*h**(-3\/10)*h\/(h*h*h*h**9)*h*(h*h*(h\/(h**(-18)\/h))\/h)\/h assuming h is positive.\nAnswer: h**(-23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 6, 4\/71, -107?\nAnswer: 4\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 5*i**2 - i - 26. Let m be c(6). Suppose m*w + 840 = w. Let d = w + 410. List the prime factors of d.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 + (-80)\/15)*3*1. Solve -2*j + k = -4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1168 and 219.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2 + sqrt(7) + (sqrt(7) - (sqrt(7) + sqrt(7) + -2 + -4))**2 + 4 + (sqrt(7)*-3)**2.\nAnswer: -11*sqrt(7) + 110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 + (4 - (1 - -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/24)\/((-5)\/(-10)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5539 is divided by 118?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.12 + 0.08. Let t = -0.6 - h. Let o = 1.2 + t. Which is bigger: -1\/3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2532169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 62748369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/15841395 and -17\/360.\nAnswer: 126731160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.7 + 1.85. Let n = q - -4.85. What is the nearest to -1 in n, -2\/5, 0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -65 + 39. Is -27 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89035 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a54 (base 11) to base 5.\nAnswer: -20034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 64847 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.29999927 - -4.3. Round r to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -883*y - 4411. Let b be f(-5). Let c = 7 + -1. Solve -m = -b*m - c for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/64*164)\/((73\/292)\/((-2)\/(-4))).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**2 + 20589210*j - 35326297368675 = 0.\nAnswer: 3431535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 2*a = -s + 8, 3*a = 5*s + 11. Let q = a - -5. Solve -6 - q = 4*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7888757?\nAnswer: 7888757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/20195 - -513533\/60585. Let v = f + -57\/7. Factor 0 + 8*x**2 + 16\/3*x + 3*x**3 + v*x**4.\nAnswer: x*(x + 1)*(x + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5152 - 5093 = 0. List the prime factors of q.\nAnswer: 5, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - x + x**2)*(-2*x**3 - 2*x**3 + 6*x**3) + (0*x**3 + 4*x**3 - 2*x**3)*(3*x**2 - x**2 - x**2) + 1 - 1 + x**5.\nAnswer: 5*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -17.5. Put 0.2, 0.1, j in decreasing order.\nAnswer: j, 0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 6 = 0, -51*g = -52*g + 5*f + 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5056\/640 - (-15)\/150\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7 - 14 - 10*-7. Let s = 77 - 53. Solve -5*o + y = s for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*c + 18*c = 559 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -2*s, 0 = 3*s + 39*r + 34*r for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 5 = 5*t + 32, 3*v = -6*t - 36 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 314.5 + -314.2. What is the third biggest value in 5, -5, -8, -1\/6, y?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 423 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c**2. Let k(s) be the second derivative of -s**3\/2 - 44*s. Determine k(z(b)).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 59 + -27. 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 -11250 = -22*k + 564. Calculate the remainder when k is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22487 + -18010. What is the greatest common divisor of 1089 and m?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 - 42 - (-6)\/(-4) - (-3)\/6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221 + 221 - 8*h**2.\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 12\/11, 68, 556 in increasing order.\nAnswer: -1\/2, 12\/11, 68, 556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -36118\/9 bigger than -4013?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + m**2 + 3 - 20*m**2 - 3*m**2 + 4*m**2 + (-m - 2*m + 5*m)*(5*m - 2*m - 2*m) to i + b*m + l*m**2 and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14\/6*18\/1 and (1\/2*-2)\/(-33 - 11248\/(-342))?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 469134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 4 = 8 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49420?\nAnswer: 2, 5, 7, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20460\/7 + -492083\/168. Let s = -13670 + 601525\/44. Calculate the common denominator of x and s.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**4 + g**4 + 3*g**4 + (3*g + 2*g - 4*g)*(2*g**2 + 2*g**3 - 2*g**2).\nAnswer: 10*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - q - 5. Let j be c(0). Let u = -3546 + 3785. Let k = j + u. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 18*m**2 + 7382*m + 820 = 0.\nAnswer: -410, -1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35.932 + -36. Let s = 0.268 + n. What is the fourth smallest value in -1\/4, 2, s, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -s**4\/16 + 3*s**3\/2 - 33*s**2\/8 + 4*s + 357. Let o(n) = 0. What is n?\nAnswer: 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 2, -2\/29, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.06 + 6.06. Which is bigger: -120\/13 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5411.\nAnswer: 7, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39678*f - 940 = 39631*f for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-57)\/12)\/(-4 - -1) + 18\/(-72). What is the fourth biggest value in 4, 1, 5, v, -14?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 48?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 y when two letters picked without replacement from {y: 7, s: 1, x: 2, t: 4}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (135\/(-1230))\/(168\/(-112)).\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -877.63 rounded to the nearest 10?\nAnswer: -880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 5*r**2 - 1. Let t be p(5). Let b be (36\/2)\/(13\/((-91)\/14)). Let k = t + b. Which is bigger: 1\/2 or k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + o + 4*o - o = -61, 5349*s - 5347*s - o + 1 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 931*c - 4727. What is k(5)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jrg when three letters picked without replacement from jjjggjjjgrjgjj.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005993545886 to 4 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 20\/(-40))\/(10\/(-48)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(sqrt(12) - sqrt(48))*2.\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -7*(-2222755)\/(-5)*-1. Suppose -5*q + 3*v - 5638143 - m = 0, 4*v = 0. Round q to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gpgrnsi. What is prob of sequence nigs?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-552))\/((-4)\/(-248)) - 9\/36.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 27*p**2 + 106*p + 87. Let u be y(22). Put u, -29, 1, -4, 0 in decreasing order.\nAnswer: 1, 0, u, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4982*f**2*i*x + 145*f**2*i - f**2*x + 2*f*i*x + 2*f*i + 2*i*x + 132021*i - x + 2 wrt f?\nAnswer: 9964*i*x + 290*i - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3392948 * -0.5.\nAnswer: -1696474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/4)\/(6\/8). Suppose r - f*y - 11 = 0, -y = -4*r - 1 + 17. Suppose 0 = -r*u - 5*h + 3, 3*u - 2*h = -18 - 0. Is u at most -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 5*w**2 - 4*w + 4. Let p be 1\/(-5) + 406\/(-70). Is g(p) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/9*54\/(-96))\/3\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45960.5 + -45962.056696. Let y = -0.143234 + h. Let q = y + 1.7. Round q to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-10)\/i*i*i*i**(4\/7)*(i\/i**18)\/i**(2\/13) assuming i is positive.\nAnswer: i**(-2328\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-105886)\/(-43317)*(-1)\/((-2)\/27).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one fifth of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1892 and 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39 * -12.\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h + 9. Let q be -6*42\/(-8) - 6\/4. Let c be 9*((-12)\/(-9))\/4. Suppose -2*l - q = c*l. What is z(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-112)\/48)\/((-21)\/(-18)). Put -0.11, b, -1 in increasing order.\nAnswer: b, -1, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00013118 rounded to 5 dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14452334 (base 7) to base 6.\nAnswer: -45242102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 952963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1746*m**3 - 1779*m**3 + 5229*m**3 - 2*m - 1808*m**3.\nAnswer: -104*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of j**5\/60 - j**3\/6 + 2*j. Let n(f) be the second derivative of p(f). Let z(y) = -202*y - 10*y**2 + 202*y. Calculate z(n(a)).\nAnswer: -40*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -1\/5, -0.28.\nAnswer: -0.5, -0.28, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 358993047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32864?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*x**2 + 5524 - 16*x**2 - 2760 + 59*x**2 - 2764 - 29*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + v**2 + v + 2. Let z = -7 - -7. Let r be q(z). What is the second derivative of -f + 2*f**2 + 0*f**2 + 2*f**r - 3*f**2 wrt f?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 323066367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 44. Let a be o(22). Suppose 2*z - a = -6. Solve -4*y = -z + 14 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ajjmrrjamhjjjrz. Give prob of sequence azra.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1090 divided by 2.\nAnswer: -545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 11*m**2 - 8*m - 1. Let y be o(-10). Suppose 56 = -d + y. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 15, v: 4}. Give prob of picking 3 v.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -30.756 - 0.5\nAnswer: -31.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14934 - 4*l**2 + 14917 + 48*l + 25*l.\nAnswer: -4*l**2 + 73*l - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w - 123 = -100*w. Let o be 4*(-3)\/(-2)*-1. Sort w, o, 2 in decreasing order.\nAnswer: 2, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -9*x + 4. Let f(m) = m + 6. Let d be f(-8). Let c be l(d). What is the greatest common divisor of c and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*u - 45035 + 45152 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 181 or 3?\nAnswer: 181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/32230 and 77\/60.\nAnswer: 193380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -67*n + 67*n + 2*n**2 in the form a + k*n + j*n**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of 0*y + 0 - 491\/24*y**4 - 13*y**2 - 19\/6*y**3. Let q be c(-9). What is q rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (150\/(-16))\/(-5)*(-124)\/279?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 4*m + 3. Let u be n(-4). Suppose -3*w + w - l + 51 = 0, -u*w + 87 = -2*l. Suppose 3*v - w = -0*v. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) -209 (c) -0.3 (d) -3 (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5655229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9318?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4))**(1\/2)\/(n**(-15)*(n*(n\/(n*n\/((n**(-5)\/n)\/n*n)))\/n*n)\/n) assuming n is positive.\nAnswer: n**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 4*a - 688 + 88, h + 4*a = -312. Let l = h + 699. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5143 + -59?\nAnswer: -51a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65681?\nAnswer: 7, 11, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 164843435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6716 + 3267 - 8338 - 6165 = -561*s for s.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 455799 and 62061.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 5 + 2 = 0. Let r = f + 3. Suppose r*k - 29 - 331 = 0. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -397*c**3 - 2*c**2 - 514*c + 6. Let w(g) = 8*g**3 - g**2 + 2. Let d(j) = f(j) - 3*w(j). What is the second derivative of d(l) wrt l?\nAnswer: -2526*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -1, -27, -2 in increasing order.\nAnswer: -27, -2, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85850800 and 525.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -17*k + 5. Let h(o) = 8*o - 2. Let n(w) = -5*h(w) - 2*z(w). Let q(b) be the third derivative of 11*b**4\/24 + 590*b**2. Calculate q(n(d)).\nAnswer: -66*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94, 902, 2554, 4856, 7802?\nAnswer: 11386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 d when two letters picked without replacement from {z: 2, d: 1, y: 1, b: 2, n: 8, g: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -316\/61 or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -374 by -1.\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 333845 = -5*n, 3*n - 4*t - 277832 + 77581 = 0. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/78 and -57\/52.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -19\/4, -18, 0, 2\/9, -4.\nAnswer: -18, -19\/4, -4, -1\/4, 0, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -81, -166, -315, -528, -805, -1146, -1551?\n\"Answer: -32*m**2 + 11*m - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from kqlhdlh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**4 + 2*b**3 - b**2. Let m(r) = r**4 - 11*r**4 + 3*r**2 - 4*r**3 + 8*r**4. Let w(t) = -2*m(t) - 5*p(t). Suppose w(i) = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -9 - 5. What are the prime factors of 28\/(-98) - (-121)\/o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 4. Let j = 30 + -20. Let y be 44\/(-12) - 2\/(-3). Sort y, l, j in increasing order.\nAnswer: y, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 38*d**2 + 9*d - 8. Let m be n(4). What is the common denominator of 47\/8 and (6\/32)\/(45\/m)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**3 + 4*i**3 - 504*i + 997*i - 8*i**3 - 493*i.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + -1. Let z be -6*-1*(-1)\/r. What are the prime factors of (2 + -3 + z)\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16.18479 from -4.\nAnswer: -20.18479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a litre in millilitres?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from grpyyyrgppryypyypyy.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 w when two letters picked without replacement from {d: 3, i: 1, w: 4}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -323.96 + 324. Put 3, -0.1, 0.2, w in ascending order.\nAnswer: -0.1, w, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5977 to two decimal places.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1789? (a) 6 (b) 0.1 (c) -1\/49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -17\/4 (b) -1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -570 and 6?\nAnswer: -3420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15 - 276?\nAnswer: -290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46730 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-9)*(-63)\/(-6). Let m = l + 12. Solve k = m*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 267260660.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22.857 - -9.857. What is the second smallest value in s, -2\/7, 2\/11?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a kilometer in centimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*0.0558.\nAnswer: -0.01116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 14) to base 15\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 6860.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15 + -9 - (-6 + 6). Let u(j) = 7*j**2 - 2*j - 6. Let r(b) = 4*b - 6*b**2 + 5 + 2*b - b - 2*b. Calculate v*r(a) + 5*u(a).\nAnswer: -a**2 + 8*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -37. Put s, -4, -1 in ascending order.\nAnswer: s, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5*13)\/(-3*(-9)\/(-270)). Let p = 1107 + u. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4733*a - 9. Let k(o) = -2344*o - 5. Determine 11*k(t) - 6*n(t).\nAnswer: 2614*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5320, -22901, -52740, -94831, -149168?\nAnswer: -215745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 6 = 0, -x - 2*s - 7 = s. Suppose -4*u + x*u = -348. What is the tens digit of 4\/6 + u\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (88 - 89 + 401)*(3 + 3*m - 3).\nAnswer: 1200*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(70) + (sqrt(70) + -2*sqrt(70) - sqrt(70)))*-1 + (6*1*sqrt(70) - sqrt(70)))\/(sqrt(810)*2*-5).\nAnswer: -5 - sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 9*h**2 + 22*h + 5. Let o be n(11). Find the second derivative of -36*w + 28*w**o - 46 + 46 wrt w.\nAnswer: 560*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 4:31 AM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 0 + (-3 - 1 + 1)*(-3 + 2 - 3))*(-x + 2*x - 4*x)*(-31*x**2 + 35*x**2 - 28*x**2).\nAnswer: 648*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 11*d**2 - 10*d + 29. Let m be (-90)\/(-40)*16\/(-3). Let k be s(m). Find the second derivative of 2*f - 2*f + 9*f**k - 10*f - 2*f wrt f.\nAnswer: 180*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y be 7 - 4\/((-5)\/5). Which is smaller: y or 12?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -2180637?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**6\/60 - 19*u**5\/60 + u**4\/4 + 16*u**3\/3 - 19*u**2 - 49*u. What is x(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/419 - -864\/5447. Let z = -0.5 - -0.9. Sort z, k, 3.\nAnswer: k, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 60*r**4 - 65391*r**3\/5 - 1549662*r**2\/5 - 8758431*r\/5 - 52272 = 0?\nAnswer: -11, -3\/100, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 100001001100010111010?\nAnswer: -100001001100010111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 5*t - 5. Calculate r(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 9*q**2\/2 + 7*q - 14. What is the tens digit of x(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -4 (b) 289 (c) 30 (d) 1 (e) 24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 982350310 to the nearest integer?\nAnswer: 31342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -108, 3, 4 in descending order.\nAnswer: 4, 3, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 519697.\nAnswer: 709, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 624\/(-72) - (1 - 10). Let i = 0.07 + 0.13. Suppose 4*d = -0*d + 16. Put i, z, d in ascending order.\nAnswer: i, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -10) + 1 - (2 - -29 - 3).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236000*i**2 + 46516*i**2 + 23663*i**2 - 11669*i**2.\nAnswer: 294510*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3c8 (base 16) to base 10\nAnswer: -968","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 + 61. Suppose 4*q = g - m, 2*g - 16 - 32 = -q. Let f be 1\/2 - g\/(-16). Solve -f*r - r = 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(20\/9))\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/80 of a millisecond in nanoseconds?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.07 - 0.37. Let m = 2 - r. What is the nearest to 7 in -5\/4, m, 2\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44 + 41. Let j = -7 + 12. Sort 1, c, j in increasing order.\nAnswer: c, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from sssshywwyy?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 90*c - 45. Let q be v(1). Suppose -9*o + 12*o = 2*n - 5, -o = -5*n + q. Is 86\/9 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k - 3*k - k)*(5*k**2 - 2*k**2 - k**2) + k**3 - k + k - 11*k**3 - 3*k**3 + 6*k**3 - 4.\nAnswer: -3*k**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven halves of a day?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 23*k + 44. Suppose 456 = 31*f - 12*f. Calculate the smallest common multiple of 30 and v(f).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1027567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 8:29 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10341, -20679, -31017, -41355, -51693?\n\"Answer: -10338*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/10 - 5)\/(350\/2625).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/5679 and 83\/252.\nAnswer: 159012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 7*h + 4. Let b be s(1). Suppose 400 = 12*y - b*y. Suppose 4*m - y = -0*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: Rearrange 17*x**3 - 23*x**3 - 18*x**3 + x to the form m*x**2 + t*x**3 + y*x + j and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 - 6*m - 6. Let b be u(7). Suppose 9 = -j + b. Let f = 88 - j. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-14))\/k*k**1 assuming k is positive.\nAnswer: k**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w + 19 - 463 + 5*w - 306 + 2*w.\nAnswer: 4*w - 750","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 43\/23704?\nAnswer: 43\/23704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1922384501 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/4 - (-196)\/8 is divided by -24*2\/(-32)*-4*(-21)\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -1841*z + 37099 - 1883 = -40265 for z.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4, 35, 138, 335, 656, 1131?\n\"Answer: 5*d**3 + 2*d**2 - 2*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-18) - 100\/3. Let x be (-64)\/s + (-42)\/(-357). Suppose -3*y - 15 = -x*z, -7*y + 3*y - 20 = 4*z. Solve 3*f - 5*f = z for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = q - 4. Let l(y) = y**2 + 2*y - 13. What is the remainder when l(-10) is divided by (-33)\/11*(-17)\/q*1?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30224b (base 14) to base 2\nAnswer: 110001011010111011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -115584 by -6.\nAnswer: 19264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.93 - 5. Let k = -0.17 - s. Put -0.2, k, 1 in descending order.\nAnswer: 1, k, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-270)*72\/4224*40\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11542590*p**3 - 50*p - 8749.\nAnswer: 69255540*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - 1 - (-323 + 292)) + -38?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 250504, 250764, 251204, 251830, 252648?\nAnswer: 253664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0 (b) 5\/3 (c) -0.3 (d) -196 (e) 165.2 (f) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 36051.85837?\nAnswer: -36047.85837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(12)*2*6 - sqrt(12))*-4)\/(sqrt(256) - (3*sqrt(256) - sqrt(256))*2))**2.\nAnswer: 121\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 42\/85 and (2\/748)\/((-130)\/(-8879)) - (-35)\/(-140).\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a**3 + 10*a - 17. Give q(2).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -3606973.4.\nAnswer: 1803486.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -p**8\/30240 - p**7\/7560 + 3*p**5\/10 + 10*p**2. Let g(m) be the third derivative of s(m). Suppose g(b) = 0. What is b?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.00475 times -0.5\nAnswer: -0.002375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14612, -938, -4 in decreasing order.\nAnswer: 14612, -4, -938","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.59057 - 0.04057. What is the nearest to 1\/2 in j, 22, 0.05, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 224, 149, 90, 65, 92?\n\"Answer: 3*k**3 - 10*k**2 - 66*k + 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 335301800 rounded to the nearest 100000?\nAnswer: 335300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 135 - 6*h - 11*h**3 + 39\/5*h**5 - 21\/4*h**4 + 33\/2*h**2 - 2*h**6. Let y(q) = 0. What is q?\nAnswer: -1, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2\/3 + 21806035*j\/3 + 109030300\/3.\nAnswer: -5*(j - 4361212)*(j + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -160.3 - -160.29083. Round x to four dps.\nAnswer: -0.0092","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251 + 201 = -2*c - 5*t, -5*c + 49 = 6*t - 24 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/4 or 28.4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a factor of 14615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2 - 2*y. Let p be r(4). Suppose 4*z + p = -4*c, -2*c + z - 12 = 3*c. Calculate the common denominator of ((-9)\/(-10))\/c*21 and -13\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 7*d**2 + 4. Let k be f(-7). Let p = 0.33 + -0.03. What is the third biggest value in 5, k, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-13 - -11)*(-4)\/((-8)\/3). What is the biggest value in -5, 1\/4, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and (1200\/(-39))\/(-5) - 6 - (-3168)\/26.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/55)\/((4256\/(-285))\/112)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 1497*d**8\/56 + 5*d**4\/12 + 38*d**3\/3 - 961*d. Find the third derivative of j(c) wrt c.\nAnswer: 179640*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 301 + -77 + -140 + -3 + 34?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27250 and 11225.\nAnswer: 12235250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -182157000 to the nearest 1000000.\nAnswer: -182000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 3*k = 4*i + 98, -4*k + 2*i = 68. Let s(x) = -x - 15. What is s(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1086450*v**2 + 287887*v + 1?\nAnswer: 2172900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 11. Let u = 179 - 178.533. Let l = u - -0.033. What is the closest to 2 in t, l, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*m - 13 = -4*h, -5*h + 5*m = -15. Suppose -9 = -2*l + 3*t + h, -5*l = t - 41. Sort 1, l, -5 in ascending order.\nAnswer: -5, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*r - 5*p = -38*r - 500, -197 = -2*r - p. Calculate the remainder when r is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (87 - 137 + 125)*(-3 + 2 + 0)*(2*v**2 + 0*v**3 - 2*v**3 - v**3) as a*v**3 + t*v**2 + c + w*v and give t.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5837974049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 50640511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 5 = 3*i. Let w(k) = 6*k - 3 + i*k**3 + 0*k - 4*k - 3*k**2. Is w(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -1901?\nAnswer: -1902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 23 times -4\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10660 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = k - 4, 0 = 4*q - 2*k - 2*k. Suppose -2*w = 3*w + 2*i - 2316, -q*i = 4*w - 1854. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**5 + c**4 + c**2 + c. Let d(x) = -4*x**6 + 3*x**5 - 3*x**4 + 12*x**2 - 3*x. Let z(k) = d(k) + 3*h(k). Find the third derivative of z(i) wrt i.\nAnswer: -480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46\/(-8) + (4 - 0\/(-29)).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 22?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19384 + -1550631\/80. Find the common denominator of (-4)\/20 + 266\/20 + -5 and f.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5*((-27)\/(-15) - -3). Let x = 30 - l. Which is smaller: 5 or x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 7. Let u = -8 + x. Let o = -7.4 + u. Which is the nearest to 2\/7? (a) 1 (b) 1\/4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2444 and 11.\nAnswer: 26884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(2) + -1 + 2.\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -3*n**5\/5 + 9*n**4\/4 + 9*n**3 + 15*n**2\/2 - 121. Factor a(y).\nAnswer: -3*y*(y - 5)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4*m**2 - 5*m + 7. Give h(-4).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 3*m + 4748. Let f = 1920 + m. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s = 20*s + 2. Let v = s - -3. What is the first derivative of -1 - 6*k**2 + 4 - v + 4 wrt k?\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 286*b**5*g + 28*b**4*g*q**2 - 11*b**2*g*q - b*g*q + 1459*q**2 wrt b.\nAnswer: 17160*b**2*g + 672*b*g*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 2*k**2 + 7*k + 4. Determine r(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 178927843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003978891586 to four decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - v. Let n(g) = -2*g**2 - 4*g. Let j(w) = -n(w) + 3*y(w). Suppose -5*r + 22 = 6*r. Suppose -3*a + 4 = -r*l, -8 = -l - l - 3*a. Give j(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 407\/(-111)*6\/(-11). Let m(k) be the third derivative of 29*k**2 + 0 - c*k**3 + 1\/30*k**5 + 0*k + 5\/12*k**4. Solve m(r) = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*s = -44*s + 16 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 4*v - 2. Let n be i(-5). Let u(o) = -32*o - 2. Let g be u(0). Let p be ((-60)\/18 - g)*-3. Solve 0 = -f - n*x + p, -x - x = 5*f - 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112\/2660*19*40?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.48269463 - -3.\nAnswer: 7.48269463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11016 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 12:46 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31742 is divided by 222.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.16880316 - 0.5.\nAnswer: -0.33119684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*y**2\/11 - 67619912*y\/11 + 189335832\/11.\nAnswer: -2*(y + 6761994)*(5*y - 14)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02918 and 45181.\nAnswer: -1318.38158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) + 4*sqrt(700) - sqrt(7))*-6 + -3 - (-4*sqrt(343) + -5 + -5))**2 + -4.\nAnswer: -3724*sqrt(7) + 495337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1*t)**(-16\/9)\/(t**(1\/13)\/t**(-7)) assuming t is positive.\nAnswer: t**(-1244\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*x + 165 - 120 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 11*o**2 + 113*o + 41. Give r(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-1)*64155\/3666\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -20 (b) -0.4 (c) 2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/6*(-6)\/(-4)*2. Let h be (-1 + (-55)\/(-5))*s\/5. Calculate the greatest common factor of h and 120.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - -1)\/(-3 + 2). Is 4\/10 - 103\/w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4760 - 4726. Solve 31*q = -o + 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68299 and 25333?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 46066.18ns in microseconds?\nAnswer: 46.06618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20221 + -11202100222012?\nAnswer: -11202100201021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2736192*f**4 - 404166*f.\nAnswer: -32834304*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 115.1 and -0.017?\nAnswer: -1.9567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*n - 949 = 5977 + 382 for n.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10239 and 71673.\nAnswer: 71673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -497, -496, -495?\n\"Answer: u - 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/6 - (-8)\/12. Let y be g\/(4\/(-15))*20. Let n be (178\/1)\/((-3)\/y). What is n rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 6*p + 5. Let j = -57 + 52. Determine w(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 528.\nAnswer: -1\/264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 - 1)*(-4*x + x + x) - x - 1 + 1)*(-3*x**2 - 28 - 55334*x + 55334*x).\nAnswer: -9*x**3 - 84*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 7*d**2\/2 + 58. Let b(o) = -o**2 - 3*o + 5. Suppose 0 = 4*q - 6*q - 8. Let m be b(q). Calculate k(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 11*t - 5. Let x be v(-10). Suppose -98 - 127 = -x*f. Suppose 0 = 5*g - 3*h + 5*h - 80, 0 = 4*h. What is the remainder when f is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**3 - 8*i - 27832 + 55667 - 27830 - i**2 + 0*i - 3*i**2. Give n(4).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 o when four letters picked without replacement from rodrdddodroc?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**2 + 5*r**2 - 2 + 1177*r - 2*r**2 - 2*r**2 - 960*r in the form d + t*r + i*r**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.22 + 2.22. Which is the third biggest value? (a) -0.5 (b) -5\/2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-6)*(-25)\/(-125)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 750 by -6.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3015.96 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 122?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 335*c + 206.\nAnswer: 335","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 10*o - 5. Suppose 10*i = 4*i + 66. What is the remainder when s(i) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 27*j - 45. Let h be w(5). Suppose b = 71 + h. List the prime factors of b.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r - 4. Calculate i(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.3 (b) 696.19 (c) -4 (d) 2\/23 (e) 2\/5 (f) -123\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78 + -82.1. Let x = -4 - g. Which is the closest to x? (a) -3 (b) 4\/7 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1400)\/144)\/5 - -2. Which is bigger: a or 0.018?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -367\/10 > 4.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1194 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6548081989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 42 (b) 2\/3 (c) 4 (d) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11617942*j**2 - 17002860*j?\nAnswer: 23235884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-445)\/(-25) - 20\/25. Solve 8*p - 3*p - 4*m = 37, 4*p = -m + n for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 p, and 1 n when three letters picked without replacement from nfiinnpinnfifn.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 270 + -76. What is the tens digit of (-2)\/6 + q\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 250 = 10*s. Suppose -5*k + 4*k = -s. Find r, given that -38*r**3 + k*r**2 + 11 - 342*r**5 - 32*r - 3 + 14*r**4 + 340*r**5 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 5*t**2 - 375*t + 5320 = 0.\nAnswer: 19, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3116 - 3090.628. Let j = s + 0.228. Let n = j + -26. What is the nearest to 1\/4 in 2\/11, -2, n?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*o = -5 + 5 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3357755 bigger than 3357754?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11111 + 21120110221?\nAnswer: 21120122102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/79758 and -121\/112252.\nAnswer: 3030804","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136445 and 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (21 + 236\/(-11))\/(4\/44).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/8526 and 38\/33?\nAnswer: 93786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000372825789 to seven decimal places.\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h**2*l**2*y**3 - 60*h**2*l**2 - h*l**2*y**3 + 2*h*l**2*y**2 + 7*h*l*y**2 wrt h.\nAnswer: -4*l**2*y**3 - 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 91483.83t?\nAnswer: 91483830000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(2) + sqrt(6)\/sqrt(3)) - 1*sqrt(500))**2 + (2*(sqrt(5) - (sqrt(180) + 2)))**2.\nAnswer: 80*sqrt(5) + 3869\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 3*y**2 - 7*y + 6. Let c(n) = 11*n + 137. Let p be c(-12). Calculate m(p).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2. Let f(i) be the first derivative of -24*i**2 + 4. Give f(v(s)).\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7423084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**7\/24 - 7*n**6\/90 - 7*n**3\/3 + 25*n. Let a(d) be the second derivative of f(d). Find the third derivative of a(q) wrt q.\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n = -168 - 27. Let u(f) = 2*f**3 + 4*f**2 - 5*f + 2. Calculate the remainder when u(5) is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 16742 - 16740. Let k = -0.3 + 1.3. What is the closest to 0 in k, -3, x, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(42)\/sqrt(6) + sqrt(7) + -5 - 6*(-1 + sqrt(7) + 4 - sqrt(7)))**2 + -2.\nAnswer: -92*sqrt(7) + 555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 0 = 4*f - 5*k, -5*k = -3*f - 2. Let q = 2.4 + -4.4. What is the nearest to q in -0.1, f, 1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 9*u = 0. Suppose u = -3*b + 2*p + 17, 0 = 2*p - 2 + 10. Let w(s) = -2*s + 10. Calculate the lowest common multiple of w(b) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48725477.5 rounded to the nearest 10000?\nAnswer: 48730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1548\/430)\/((-2)\/5)*-1 + (-1 - -102)\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gtt when three letters picked without replacement from ttgt.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21003, 20975, 20947, 20919, 20891, 20863?\nAnswer: 20835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of g**4\/4 - 4*g**3\/3 + 2*g**2 - 3*g + 14. Let h be z(3). Suppose 4*t - 714073 - 6085927 = h. Round t to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/8 - 2\/(-8). Suppose -2*r + 12 = r, 0 = -i - 5*r + 22. Let f(y) = y - 2. Let s be f(i). Put 4, j, s in ascending order.\nAnswer: s, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1453706 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (32\/(-40))\/(52\/(-10)). Suppose 0 = -5*o + 18 - 3. Which is the nearest to -1\/4? (a) o (b) l (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -3*y - 4 + 27, 14 = 2*w + 2*y. Suppose 0 = w*d + 4*m - 1698, 2*d + 8*m - 1671 = 13*m. What is d rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ltl when three letters picked without replacement from lgllggtltggll?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 3*a - 3, 3*y + 2*y + 2*a - 2 = 0. Suppose -10*v - 82 - 308 = y. Let l = 0 - -1. Which is smaller: v or l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -8*i - 1. Let l be v(-1). Suppose l*g = 10*g - 12. Let x(c) = -c + 0*c**2 + c**2 - 1 + 0*c**2. Calculate x(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 82461 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6661 and 4759.1?\nAnswer: 1901.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9463214 is divided by 946311.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19607 and 14.\nAnswer: 39214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 170 and 458636030?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**2\/3 - 5*l - 9 = 0.\nAnswer: -3\/2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.502 and -18.\nAnswer: -45.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 7*o**2 + 3*o - 4. Let b be -15*(48\/(-18) + 3 + 0). Calculate the remainder when k(b) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 675*a**2 - 9*a - 9. Let p(c) = -168*c**2 + 2*c + 2. Determine -2*f(h) - 9*p(h).\nAnswer: 162*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3728105997 to the power of 1\/4, to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(8))*3 + (1 + (1*sqrt(22) - sqrt(22))\/sqrt(11))**2.\nAnswer: 6*sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/((-4)\/(120\/15)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**4 + 269*c**3 + 490*c**2 wrt c.\nAnswer: -24*c + 1614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, -1\/2, -23\/143 in decreasing order.\nAnswer: -23\/143, -1\/2, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.01 not equal to -826?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.36 - -0.16. What is the smallest value in p, -1\/3, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -7*k - k - 4*k + 12*k**2 - 13*k**2 - 7. What is l(-5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104076.414 microseconds to days.\nAnswer: 0.000001204588125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**2 - 230*i**2 + 63*i**2 - 170*i**2 - 120*i**2 in the form y*i**2 + a*i + j and give y.\nAnswer: -459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 34.\nAnswer: 13.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 4*v**2 + 7*v - 1. Let p = 36 + -31. Suppose 0 = -3*y + 3*f - 2*f - 10, -40 = p*y + 3*f. Determine j(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 8*s - 5. Let v(w) = -2326477*w. Give v(f(j)).\nAnswer: -18611816*j + 11632385","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 + n**2 + 4*n**2 - 110 + 110.\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -14005*y - y**3 + 6*y**4 + 13415*y - 367*y**2 + 368*y**2 in the form a*y**3 + t*y**2 + n*y**4 + q + i*y and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*n + 6. Let r be n\/10*8 - -2. Let d = -0.35 + -0.05. What is the second smallest value in -4\/5, d, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4235) + -2*sqrt(4235)*3)*-4)\/(5*(sqrt(125) + 2*sqrt(125))*6) + -4.\nAnswer: -4 + 22*sqrt(7)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l**2 + 1267 + 1262 + 936 + 4*l**2 - 3902.\nAnswer: -l**2 - 437","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -117 - 711045?\nAnswer: -711164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1219 less than or equal to -6\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/132 and 53\/5616?\nAnswer: 61776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*z, 5*u - z + 3 = 9. Suppose -u*p - 10 = -30. Suppose 38*i = 25*i - 103 + 779. Calculate the least common multiple of i and p.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3137 times 2\nAnswer: 6274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 18*v + 40 = 0. Suppose -185 = -5*u - v*i, 0*u - 45 = -u + 3*i. What is the highest common factor of 52 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 324*n + 15. Let u(c) = -c - 5. Calculate 2*h(w) + 6*u(w).\nAnswer: 642*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 16*n**2. Let g(o) = 35*o. What is a(g(k))?\nAnswer: 19600*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66424 divided by 38.\nAnswer: 1748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -1)*(187\/(-153) - 2\/(-9))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1230 (base 10) to base 6.\nAnswer: -5410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 1 + sqrt(11) + -5)**2 + 4 - (-5*(sqrt(704) + -2) + -2)**2) + -5.\nAnswer: -17650 + 636*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 3\/4, 40, 0, -22\/71, 2.\nAnswer: -22\/71, 0, 0.3, 3\/4, 2, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -327*p**3 + 660*p**3 - 336*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/33200 and 47\/29880?\nAnswer: 298800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -151.7 + 152.7. Let l = 0.18 + -7.18. Let o = 6.7 + l. Which is the third smallest value? (a) -2\/3 (b) o (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - y + 2*y - 86 = 0, 7*t + 9*y - 410 = 243 - 57 for t.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16229134.\nAnswer: 2, 8114567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7339957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.1072 * -30\nAnswer: -3.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -544122 (base 6) in base 13?\nAnswer: -1761b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*s - 196*s + 34*s - 1480 = 0 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*z - 6 = 3*k, 5*k = 5*z. What is the closest to 0.1 in z, 0.3, -56\/19, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -105482 from -253.684.\nAnswer: 105228.316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -128? (a) 5 (b) 0.1 (c) -1\/2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/(d*d*d**(-15))))\/d*d**10)\/(((d\/((d*d**(4\/13))\/d))\/d)\/d*d\/(d*d\/d**(22\/9)*d)))**(24\/7) assuming d is positive.\nAnswer: d**(-2936\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 290 - 287. Suppose -2*a = -0*a, -240 = -f*z - 5*a. What is the lowest common multiple of z and 88?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7355341 * -0.2\nAnswer: -1471068.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 484*b**3 - 2262792268*b**2 - 822833600*b - 74803056.\nAnswer: 4*(b - 4675191)*(11*b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15181812 or -106272681\/7?\nAnswer: -15181812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 221*(-30)\/780*4?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand p + 0 + 0 + (3 - p - 3)*(2 + 0 - 3) + 3*p - p - 3*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1626778670 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3\/172 - 8075\/516. Calculate the common denominator of -61\/9 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 - -24. What is the nearest to -2 in j, 2, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336*w + 210*w = -297*w + 75*w + 16128 for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 0*c + 2*c)*(-6 - 3 + 44)*(-3 + 0 + 1).\nAnswer: -140*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -79448841 - -5.\nAnswer: -79448836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/8 of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*m*v*x - 2813796*m*v + 81*m*x + 402*v*x + 4*x wrt x.\nAnswer: 2*m*v + 81*m + 402*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 69104592?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -56591\/2 or -28295?\nAnswer: -28295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4113 = 1484*s + 23110 + 135339 for s.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 a when four letters picked without replacement from {i: 2, a: 2, k: 2, h: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4178 + 1?\nAnswer: 4180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10041 is divided by 205?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 7*n**2 + 5*n - 7. Let v be z(3). Suppose 67*k - v*k = -12. Let j be 18\/5 - (-6)\/15. Solve 0 = c - k*c - j for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -6*s - 345. Determine j(-46).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -52908, -105850, -158788, -211722, -264652?\n\"Answer: 2*u**2 - 52948*u + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -6*s**2 - 11*s - 16. Calculate m(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (191100\/(-1386))\/(-130)*15\/(-25)?\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1655335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/4*94\/(-423).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**4\/8 - 7*q**3\/6 - 3*q**2. Let h(j) = -j + 4. Determine -3*g(o) - 5*h(o).\nAnswer: -4*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2171 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 3:26 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - (66\/(-165))\/((-2)\/(-10)). Put f, 2, 307, 1 in ascending order.\nAnswer: f, 1, 2, 307","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4 = 1. Suppose j*t = t. Suppose 2*l - 37 = -l - 4*u, 0 = -2*l + 5*u + 17. Solve -5*g = 4*q - 27, t = 4*g - 1 - l for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 67598\nAnswer: 1\/67598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of 17*t**3\/3 + t**2\/2 + 3*t. Let g be s(1). Let l = -12 + 19. What is the highest common factor of l and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o + 15. Suppose -4*s - 7 = n, 13 = -n + s - 4. Does 15 divide j(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 234.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.961 + 0.\nAnswer: 1.961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1455 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-5*(-2)\/(-4 - -2))\/((-1)\/12368)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0858632188 to four decimal places.\nAnswer: -0.0859","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 9)\/(-9) - 6\/2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 5 (b) 0.2 (c) 1\/3 (d) 197\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -911.12835*2.\nAnswer: -1822.2567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y - 238 + 234 + 2*y - 5*y. Determine s(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4537\/3 + 1535. Let q = -22 + u. Let r be 1\/(1\/(-3) - 0). Which is the second biggest value? (a) r (b) -1\/5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 6*-6*(sqrt(2448)*1 + 2)**2.\nAnswer: -88276 - 1728*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3 = -45. Suppose -3*r - 18 = -5*r. Let m = z - r. Which is smaller: 14 or m?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of i**3\/3 + 3*i**2\/2 - 2*i - 1. Suppose 4*q = 2*q + 46. Calculate the remainder when q is divided by t(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-8))\/(11 + (80\/(-64) - 10))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1377) + sqrt(1377) + 0) + sqrt(1377)*2 + -1)**2.\nAnswer: 144*sqrt(17) + 88129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-21)*v**(-13)*v**(-29)*v\/v**31 assuming v is positive.\nAnswer: v**(-92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -118468543*v**2 - 224753670*v wrt v.\nAnswer: -236937086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l. Let i(n) be the first derivative of -n**2 - 13*n + 103. Determine z(i(t)).\nAnswer: 4*t + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -1480. Which is bigger: 2917\/2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 9*y**2 - 8*y - 1. Let i be q(-8). Let c be 1*(0 + (-6)\/(i - 2)). Sort 1, 3, c, -4.\nAnswer: -4, 1, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -164\/7 - 78\/7*x + 2\/7*x**2 = 0.\nAnswer: -2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4 + 2 - 3*p + 3.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328653 is divided by 108655?\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 183 - 155. Find the third derivative of -11*o**4 - 80*o**2 + 15 - v + 13 - o**3 wrt o.\nAnswer: -264*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 7\/12*p**4 + 0*p + 0*p**3 + 0 + 184*p**2. Let l(m) = -5*m**2. Give l(o(f)).\nAnswer: -980*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5223035 (base 7) to base 13.\nAnswer: 18c93b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 6 - 2)*(5 - 6 + 146*z**2 + 602*z - 600*z) as x*z**2 + r*z + n and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6\/5 of a week?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -503 - 355 = -66*j for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 s when four letters picked without replacement from {a: 2, s: 5, p: 6}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -10*k + 12. Let n be k*5\/(15\/(-2)) - 11. Let q(c) = c**2 + 5*c - 25. What is the units digit of q(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 1, -0.08, -1.09?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j + 3*j - 65079*j**2 + 65167*j**2.\nAnswer: 88*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -15*l**2 + 9. Let v(y) = -8*y**2 + 5. Let k(o) = 9*v(o) - 5*z(o). Let i(c) = -3*c**2. Give i(k(w)).\nAnswer: -27*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w + 12. Give b(19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, k: 3, y: 3}. What is prob of sequence uk?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**3 + 5*u**3 + u**3 + (-3 - 2*u + 3)*(3*u**2 - 5*u**2 + 4*u**2) - 5 - 2*u**3 + u**2 + 14*u - 2*u**2 - 13*u.\nAnswer: -3*u**3 - u**2 + u - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p. Let v(s) = 1456*s - 1. Give h(v(z)).\nAnswer: 1456*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 637?\nAnswer: 6370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5527 * 114.\nAnswer: -630078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 32*g - 62. Let d be x(13). Differentiate 148*i - 307 + d - 222 wrt i.\nAnswer: 148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35772504 to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 1\/3*o**3 + 0*o**2 - 1 + 3*o. Find the first derivative of z(q) wrt q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -17*v**2 + 28*v + v**2 - 28*v. Let h(u) = -3*u**2. Determine h(w(f)).\nAnswer: -768*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2054321 is divided by 684617.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, 1111, -1.\nAnswer: -1, 61, 1111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 355\/77 + (-207)\/483 + 4\/(-22).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 80 + 6. What is the second derivative of -13*p - q*p**3 + 74*p**3 + 6*p**5 wrt p?\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -23*a**2 + 5*a + 2. Let w(h) = -23*h**2 + 6*h + 2. Let p(r) = -7*l(r) + 6*w(r). Let n = 1 + 0. Is 17 a factor of p(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -0.4, 119.4, 1, 8.3, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 576*o + 25836. Determine b(-45).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -651 divided by 3.\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13.1087 + 0.1087. Let k be (10\/8)\/((-3)\/(-12)). Suppose k*n - 3*a - 1 = 0, 0 = -3*n + 2*a + a + 3. Is n less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -5 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mkv when three letters picked without replacement from mvkmtqzzq?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -2, -6, -20, 2\/7, -3\/4, 1 in descending order.\nAnswer: 1, 1\/3, 2\/7, -3\/4, -2, -6, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8736 by -336.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**4 + 13504*i**3 + 81132*i**2 + 121752*i.\nAnswer: -4*i*(i - 3382)*(i + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104011430 (base 5) to base 3.\nAnswer: -212001202110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -207 - -134.5. Let a = 81.27 - 1.27. Let r = a + x. Is -0.1 >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 15 = 12. Solve v*x = 1 + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l - 169. Let q be a(-15). Let i = q + 333. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(3\/4))**43*(m*m*m\/((m\/(m\/(m**3\/m)))\/m))\/m**8)**(-37) assuming m is positive.\nAnswer: m**(-3885\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 9*a**2 + 3*a**2 - 7*a**2. Let x(s) = s. What is o(x(p))?\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -343.5 + 343. Which is the nearest to 3? (a) -4 (b) 1\/2 (c) 4 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s - 12 = -4*s, -5*s = -d - 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*c**5 - 4482452*c**3 + 75619223*c**2 wrt c.\nAnswer: -360*c**2 - 26894712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 9251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**5\/7 - 38*t**4 - 3438*t**3\/7 - 12766*t**2\/7 - 18160*t\/7 - 1224 = 0?\nAnswer: -119, -9, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 534241690 to the power of 1\/2, to the nearest integer?\nAnswer: 23114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 431 - 148. Suppose o + 30 = 5*g - 4*o, -2*g + 6 = -4*o. Calculate the lowest common multiple of g and m.\nAnswer: 2547","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -50*d**3*h - 21*d**2*h**2 + h**2 + 2434 wrt d.\nAnswer: -150*d**2*h - 42*d*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5264 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven quarters of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 545557, 1091167, 1636777, 2182387?\nAnswer: 2727997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-2\/7))**(-23)*z**(-5\/2)*z\/z**(-4\/11))**(-27\/7))**(-2\/21) assuming z is positive.\nAnswer: z**(7533\/3773)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 881 a factor of 435782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*q - 8, 3*q = 2*r + r. Let u(b) = 133*b + 9. Let w be u(r). What is the greatest common factor of w and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49931 (base 10) to base 5\nAnswer: -3044211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 386 - 241. Let t = q - 145.3. Suppose -f = -3*f. Which is the second smallest value? (a) f (b) t (c) -1\/2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-1444.\nAnswer: 433.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -462*u = -3*f - 458*u - 17, 5*f - u = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 7*w**2 + w + 1. Let j be -3 + 4 + -6 + 4. Let i be t(j). Suppose -2*z - 3*v + 8 = 0, -z - 4*v + i = -2. What is the closest to -3 in -0.2, z, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/(-7)*(-3)\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19\/84 - -1\/21. Let x = 23\/266 - 3\/19. Let g = m + x. Which is the nearest to 0.02? (a) g (b) 3\/2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**4\/5 - 3*i**3\/5 - 121*i**2\/5 - 117*i\/5 = 0 for i.\nAnswer: -9, -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 340?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 87.06 times -3\nAnswer: -261.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 4*h - 2*h - 4*g, -3*h + 4*g + 57 = 0. Suppose -2*l = k - 54, k - 49 = -0*k - l. Calculate the remainder when k is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 5*c - 476, -4*s = 7*c - 3*c - 404. Solve 63 = -43*k - s for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 518301 or 8811110\/17?\nAnswer: 8811110\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2499 - 733?\nAnswer: 1766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (-5 - -2)) + 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 1409891*k - 6450. Let j be z(-50). Round j to the nearest 100000.\nAnswer: -70500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4 = 3*n + n, -3*w = n - 16. Let b(j) = -4 + 0 + j - 3. Let v be b(10). Solve f - 4*h - v = -12, 5*f - n*h = 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**3\/3 + 58*z**2\/3 - 20*z = 0?\nAnswer: -30, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 7 - (-21 - -12).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s + 2*o + 11, 69*s = 73*s + 2*o - 14 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/3797524 and 81\/344.\nAnswer: 326587064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 8067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5089 rounded to the nearest 100?\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7747 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cg when two letters picked without replacement from gcgcg.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -17*i**3 + 3*i**2 - 2*i - 7. Determine o(-3).\nAnswer: 485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -196?\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in sixty-one halves of a second?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6*h + 64 = 4*t, 2*h = 0. Which is the second biggest value? (a) t (b) -0.4 (c) -13\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hyyhhhyyhhyhghyhhhh. What is prob of picking 2 h?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -122897100 rounded to the nearest 1000000?\nAnswer: -123000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 6 + 4 - a)*(45*a**2 - 44*a**2 - 1 - 6*a + 3).\nAnswer: -a**3 + 3*a**2 + 16*a - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(525)*-1 - sqrt(525)))\/(1*sqrt(243)*6).\nAnswer: -10*sqrt(7)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92\/69*(-84)\/16?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 7*y - 11. Suppose y*o + 10 + 2 = 4*z, -6 = -2*z - o. Solve -2*g + 2*s + z = 1, 0 = 2*g - 5*s - 14 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 4*d + 28, -3*f - 4 = -f + 4*d. Suppose 0 = -3*a + f*a - 2. Factor 1\/4 + 0*i - 1\/4*i**a.\nAnswer: -(i - 1)*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 1 - (-7 + 63 + -33)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -9*p + 2 - 16 + 14. Give o(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-6)*5\/(210\/(-18)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -7*z**2 - 141*z + 3. Let u(o) = 8*o**2 + 147*o - 4. Give -6*l(a) - 5*u(a).\nAnswer: 2*a**2 + 111*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 23840, 23844, 23852, 23864?\n\"Answer: 2*c**2 - 2*c + 23840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + sqrt(847) + -3 + (3*sqrt(847))**2)*5.\nAnswer: 110*sqrt(7) + 38100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {x: 11, z: 9}.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 249697264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(931) + 0 + -2 - sqrt(931))**2 + sqrt(931) - sqrt(931))*-3 + (2 + sqrt(931) + 2 - (sqrt(931) + (sqrt(931) - sqrt(931)*-3*-5))).\nAnswer: -7 + 98*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-22)\/6)\/(26 + 2826\/(-108)). Suppose o = 2*o + 3. Let k(w) = -w**3 - w**2 + w - 4. Let m be k(o). What is the greatest common divisor of m and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29126 = -61*a - 208*a - 579*a + 1402 for a.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 712*b - 370*b - 342*b + 86*b**2.\nAnswer: 86*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -39400 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - c - 160 = -8*b, 5*c = 2*b - 323. Suppose 5*d = 4*p - b - 49, 5*p = -d - 59. Is (-498)\/12*(-3)\/((-6)\/d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 2*z**2 - z - 2. Let k = -7 + 13. Let w(t) = -2*t**3 - 126*t**2 + t + 64. Let d be w(-63). Let p be k*d*4\/(-8). What is b(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10820 divide 1488712980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**2 - 470652996*x - 18459520220314668 = 0. What is x?\nAnswer: -78442166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 113 + -103. What is the lowest common multiple of d and -2 - (1655\/(-35) - 10\/(-35))?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -128c43 (base 16) to base 12\nAnswer: -4a7543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h. Suppose -o = -9*o + 72. Let t(z) = o*z - z + 17*z + 13*z. Give t(w(j)).\nAnswer: -76*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/(-105))\/(4\/(-56)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 5*k, -78*m + 82*m = -2*k + 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13379256?\nAnswer: 2, 3, 11, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v + 4 - 4)*(13 + 11 + 0) to a + s*v and give s.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 981548000 to the nearest 1000000.\nAnswer: 982000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a + 14285 + 14237 - 28522 + 6*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t**3 + 1178*t**2 + 273*t + 93505. Give l(295).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ruhrzhrhrrhrrrrqrmr. What is prob of sequence uqr?\nAnswer: 11\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 13*h**2 + 12*h + 4. Let o be a(12). Suppose -o = -2*g, -3*j + 2*g = 5 + 5. Let x(z) = z + 3. What is x(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.6 + -0.5. Let a be (-2)\/(4 - (-8 + 12 + 1)). Sort l, -9, a in ascending order.\nAnswer: -9, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 7*h**2 + 5. Let p be f(7). Let a = 0 + p. Let w = -2 + a. Solve 5*x + 22 = 5*n - 2*n, w*n + 2*x = 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 19 - 1 = -5*h, 3*u = 0. Solve -5*g = 3*q - g - h, 2*q - 18 = 5*g for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 529, 1086, 1643?\n\"Answer: 557*f - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23459822471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 420*r - 32*r = -7372 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r + 2*r + 0*r)*(-2 - 4 - 2)*(-465 + 465 + 940*r**3) in the form s*r + h*r**3 + c*r**4 + t*r**2 + j and give c.\nAnswer: 7520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 798554*-9.\nAnswer: -7186986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 401*b**2. Let q(k) = 5*k. Calculate q(x(z)).\nAnswer: 2005*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*n**3 - 7377*n**2 - 45203 with respect to n.\nAnswer: -12*n**2 - 14754*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-765 - -815) + (-1 - 55).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -9*g + 2. Let h(o) = -3 - 4*o + 4 + 0*o. Let s be (-14)\/(-63) + (-104)\/(-18). Suppose 0 = -w + 1 - s. Calculate w*h(u) + 2*n(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -73557881*c**4 - 67801630*c**2 wrt c.\nAnswer: -1765389144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -24. Let p be (184 - 1)*(4 - x). What is p rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.509 take away 0.0268?\nAnswer: 0.4822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -8) + (16 - 25).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2. Let g(i) = -30819*i**2 + 2*i + 93. Give g(z(l)).\nAnswer: -123276*l**4 + 4*l**2 + 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 2\/5 (c) 174 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2121, -4140, -6161, -8184?\n\"Answer: -n**2 - 2016*n - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2 + 2*l + 2. Let b be d(2). Suppose -3 = -12*q + 13*q. Is q smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from laccc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 98, 363, 804, 1421, 2214, 3183, 4328?\n\"Answer: 88*q**2 + q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that c**3 - 89*c**2 - 1014*c + 2376 = 0.\nAnswer: -12, 2, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -21, 2, -7 in increasing order.\nAnswer: -21, -7, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a + 12. Suppose 26*s = 57*s + 186. Let y(r) = r + 2. Let f(w) = s*y(w) + v(w). Let d(n) = 38*n**2. Determine d(f(x)).\nAnswer: 38*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w*(w*w**19*w*w)\/w*w)*w)\/w*w)**(2\/21) assuming w is positive.\nAnswer: w**(-40\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55\/3 - 19. Put -0.3, 3, c, 0.1 in ascending order.\nAnswer: c, -0.3, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-984)\/246)\/(3*-6)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**4 - u**2 + u + 1. Let s(y) = -17*y**4 - 2*y**3 + 6*y**2 + 2*y - 5. Let r(b) = -5*j(b) - s(b). Find the third derivative of r(n) wrt n.\nAnswer: 528*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((486\/(-12))\/9)\/((-9)\/115902)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.977 times 12.962\nAnswer: 64.511874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7671 + 7670.6. What is the third biggest value in 3, 0, -5\/3, -6.1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 + 4*u**2 + u**2 + 0*u**2 - 8*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/1*(1 - 3). Let s be (-1)\/(b\/(-24)) + 2. Let g be (-6)\/4*28\/21. Sort g, -3, s.\nAnswer: s, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**28*o\/(o\/o**(-18)) assuming o is positive.\nAnswer: o**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 71 = 5*z - 31, -59 = -4*z - 15*v for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8683 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-6) - 42\/(-4). Suppose -30 = -2*l + b. What is the least common multiple of (-1 - -7)*(3 - (3 - 1)) and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 2 - 26) + (78 - 69) - (6 + 2).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2404793 is divided by 601197?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*u = -z + 234, 3*u + 3*z - 51 = -69 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -62, -193, -450, -875, -1510, -2397, -3578?\nAnswer: -5095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133997352?\nAnswer: 2, 3, 97, 57559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 9 = -0*j - j, -13 = j - 2*p for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 11*m**2 + 32*m + 8. Suppose -26*q + 16*q - 18*q = -168. Give j(q).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 84*g**2 - 279 + 94 + 153 - 2*g**2 - 3 + 3 - g**2 + 2*g**2 + 0*g**2 + (-2 - 1 + 1)*(-2*g**2 + 3*g - 3*g) + 3*g - 2*g**2 - 3*g + 0 + 0 - 2*g**2.\nAnswer: 83*g**2 - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14934621.\nAnswer: 3, 13, 382939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*l*y**3 + 4904690*l + 13*y**3 - 16784*y wrt y?\nAnswer: -12*l*y**2 + 39*y**2 - 16784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = 5*t - 5*k, -t - 56 = -2*t - 3*k. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = v + 1, -794 = c - 3*v - 821. Suppose 0 = 3*p - 744 + 294. Calculate the greatest common factor of p and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 704101870 to the nearest one hundred thousand.\nAnswer: 704100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 7)*(647*h - 738 + 738) + 0*h + 6*h - 4*h to y + z*h and give z.\nAnswer: -4527","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1.5*22489.78\nAnswer: 33734.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -10188\nAnswer: -50940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 5655 + 5648 = 0. Solve 0 = 2*a - 3 + 9, a + m = -2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 6*l**2 - 35*l + 2. Let c be o(6). Suppose -11*b + 2584 = c*b. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/53 in -0.4, 18, -4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 9*t**2 + 14*t + 81. Is k(-20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-26)\/7 + 2 - -2. Let n = -29.3 + 29.1. Which is the nearest to n? (a) 2\/3 (b) -1\/4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16971.47 rounded to the nearest 10?\nAnswer: -16970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5826, 4196, 2566?\n\"Answer: -1630*y + 7456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.884 plus 13.03613965?\nAnswer: 13.92013965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of a**5\/30 - 5*a**4\/12 + 8*a**3\/3 - 5*a**2. Let q be u(7). Suppose -q = -c - c. What is the highest common factor of 33 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*a + 2*a + 0*a + (-3*a - 4 + 4)*(-2 + 2 + 3))*(4*a - 5*a - 2*a).\nAnswer: 57*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(3) - (sqrt(21)\/(sqrt(7) - sqrt(252)) - sqrt(3)))**2.\nAnswer: 1452\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + sqrt(832))*-3 + 4.\nAnswer: -120*sqrt(13) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.939256 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*b - 5*b + 3*b)*(2*b**2 + 0*b**2 - 3*b**2 + (-3*b + 3*b - b**2)*(-4 + 3 + 2)) to j*b**2 + x + w*b**3 + c*b and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 8 = -2*r, 4*r - 16 = -0*a - 4*a. Let t = 7 - r. Put t, -1, -3 in ascending order.\nAnswer: -3, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000001010011 - -1101100110110?\nAnswer: 101011100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 108, 122, 144, 174, 212?\n\"Answer: 4*k**2 + 2*k + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 8*d = 175. Let j(f) = d*f - 23*f + 10*f. Let k(r) = r**2 + r + 1. Let a(s) = -4*s**2 - 3*s - 3. Let h(g) = a(g) + 3*k(g). Calculate h(j(q)).\nAnswer: -144*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 830425?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 1. Let f(c) = -7*c**2 - 2*c - 4. Let n(w) = 6*a(w) + f(w). Calculate n(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -0.056, -2\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 482 and 44630301.9.\nAnswer: 44630783.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003286439621 rounded to 5 decimal places?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*h + 29*h = -20*h - 276 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 5*o - 20 = 0. Suppose -t = o*t - 40. Let g(d) = d**2 - 2*d - 17. What is the remainder when g(-6) is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 4, k: 7, n: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 246*t - 7341. Let f be g(30). Suppose 0 = s - 2*s + 8. Suppose 0 = y + u - s, 0*y - 3*y + 34 = u. What is the highest common factor of f and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 8*r + 6. Let h be b(9). Suppose -24*v - 4 = -20*v. Let d be 0\/(2 - v) + -1. Is h at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 3*t**2 + 7*t - 3. Let x be a(-5). Suppose -x*y - 26 = -14*y. Suppose -107 = -5*v + y. Does 5 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 divided by -158155?\nAnswer: -612\/158155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 59*i - 866. What is c(28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*x - 25555 = 6339. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**28\/i)**44*((i*i**23*i)\/i*i)**25 assuming i is positive.\nAnswer: i**1813","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58662 - -58666. Let w be 2\/(26\/12 - 2). Solve -j*v = -v + w for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 7:28 PM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**3 + 2 + 17*k + 8*k**4 - 17*k to b*k**2 + w*k**4 + j*k**3 + q + z*k and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g - 4*g + 0*g)*(-4 + 3 + 0)*(-18*g - 14*g - 2*g)*(-g + g - 4*g**2).\nAnswer: 1224*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -227 by -525890.\nAnswer: 227\/525890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from omhmmomohhmohhohmmhm. What is prob of picking 3 o and 1 h?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -2*s + a, 0*a = a + 1. Solve 3*y - 4*q + q = -18, -s = 3*y - 5*q for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = 2*y + 2*y. Let o be 2\/(-4) + y\/(-6). Let x be (-696)\/(-7) + o\/(-14). Calculate the highest common divisor of 9 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104689.\nAnswer: 13, 8053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 591*o - 10 = -1184*o + 592*o, -3*s = 2*o - 11 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 18*q - 37. Let w be o(2). Let b(u) = u + 1. Let f(k) = 4*k**3 - 12*k - 12. Let c = 2 - 14. Calculate c*b(g) + w*f(g).\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -129.202 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -122 - -317. Let h = a + -195. Sort 3\/2, 4, h, -0.2.\nAnswer: -0.2, h, 3\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 8:43 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a + 1 - 1)*(-5 + 3 + 1) - 7*a + 8*a + 6*a - 2 - a + 2 to the form c + w*a and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**5 - 292*j**4 + 3976*j**3 + 83920*j**2 - 1214176*j - 1293824 = 0. Calculate j.\nAnswer: -16, -1, 14, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3 = 5*d - 0, -4*v - 3*d + 57 = 0. Let w(u) = -12*u - 3. Let a be w(2). Let m = a + 61. Calculate the remainder when m is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 7325601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -4*m**3\/3 + 21*m**2\/2 + 12*m - 2. Let i be p(15). Let s = 964 + i. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 6 = 4. Factor -2*q**2 + q + q**5 - 3*q**r + q**5 + 2*q**4.\nAnswer: -q*(q - 1)**3*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + (25 - (8 - -14)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - b**2 - b. Let l(u) = -22*u**3 + 4*u**2 + 6*u - 2. Give -l(i) - 5*o(i).\nAnswer: 27*i**3 + i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 n when four letters picked without replacement from nnffdfffnn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -10299*o. Let a(x) = 2*x. Determine q(a(z)).\nAnswer: -20598*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -10 - (49 + -55)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, -16\/5, 0.5, 48, 3\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*p**3 - 8*p**2 + 961*p.\nAnswer: -72*p - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -616*f**2 + f - 84. Let j(p) = p**3 + p - 28. Calculate 3*j(k) - m(k).\nAnswer: 3*k**3 + 616*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + y = -160, 5*d - 5*y + 177 = -123. Let t be (-1)\/3 + d\/(-3). Suppose 2*a - 7*a = -360. Calculate the highest common divisor of t and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-8)*10*2. Let n be ((-10)\/(-21))\/f*-6. Let y = -4\/21 + -2\/63. Put n, y, -5\/2 in decreasing order.\nAnswer: y, n, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-five halves of a tonne?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*c - 120*c = 7924 for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eewkeeweeeewew. What is prob of picking 1 k and 1 w?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -166*c**3 + 2*c**2 - 32*c + 4. Let r(o) = -o**3 + o**2 - o + 1. Let t(x) = -k(x) + 4*r(x). What is the third derivative of t(d) wrt d?\nAnswer: 972","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7401650 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 11 = -c + 4*q, 0 = -5*c + 5*q - 40. Let s(y) = -5*y**3 + 3*y**2 - 11*y - 6. Does 27 divide s(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-36*o**2 - 192*o + 192*o)*(-57 + 58 + 19*o + 24*o) as m*o + h*o**2 + l + j*o**3 and give j.\nAnswer: -1548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jghx when four letters picked without replacement from {d: 1, h: 2, x: 4, j: 1, g: 2}?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.5, 18, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 322709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -0.4, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7878728?\nAnswer: 2, 11, 13, 71, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 l when three letters picked without replacement from {l: 1, u: 3}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5137, -0.9, -0.1, 4, -0.5, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 - 1913*d - 3 + 1900*d)*(-2 - 3*d + 2) to v + f*d + i*d**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9, -17, -31, -51, -77, -109?\n\"Answer: -3*i**2 + i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*l**3 + 3*l**2 + 17*l**3 - 3*l**2 + 45*l**3.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.45 - 0.05. Let b = 22 + -23. What is the closest to b in -3, g, 0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76\/18 + (19 - 23)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53 - 16*p + 12*p - 155)*(-4*p**3 + 4*p**3 - 2*p**4).\nAnswer: 8*p**5 + 204*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ubtb when four letters picked without replacement from {e: 1, u: 1, t: 11, b: 6}?\nAnswer: 55\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -6. Let t(w) = 3*w**2 + w. Let o be t(-1). Let z be (20\/(-15))\/(o\/6). Which is smaller: f or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 0) + (83 - 58) + (41 - 50)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 + 2*g**4 + g**3)*(2*g - 6*g + 2*g) + 2*g**5 - 10*g**5 + 7*g**5 + 2*g**3 + 0*g**3 + 3*g**5 - 2*g**5.\nAnswer: -4*g**5 + 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-16)\/324)\/(2\/(-3)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 542368592 and 1180.\nAnswer: 2711842960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 61851 divided by -1?\nAnswer: -61851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of 7*u**6\/30 - 9*u**5\/10 - 1867*u**3\/6 + u - 313. Find the second derivative of g(y) wrt y.\nAnswer: 84*y**2 - 108*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -80*p - 1190. Let q be r(-15). Solve 2*j + 4*m = -q, -24*m + 25*m = -j - 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2422670, -2422662, -2422654, -2422646?\nAnswer: -2422638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -121.66 from 698.\nAnswer: 819.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 28 = -4*l. Suppose -8 - 4 = 3*s. Let f = l - s. Calculate the greatest common factor of 4 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23\/5 + -67\/20. Which is the third biggest value? (a) o (b) -0.1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 - 6. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*n = 3*k - 5412457, 0 = -n + 4*k + 5412422. Let s = 11112442 - n. Round s to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/38 - 3476849\/(-77083).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-84))\/((-9*26\/585)\/((-42)\/(-35)))\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5526 + -19?\nAnswer: 550c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) - 5*sqrt(528))\/sqrt(11).\nAnswer: -19*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 31, 42, 53, 64?\n\"Answer: 11*h + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2089 is divided by 25.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 7 - (5 - 3). Let r = j - -1. Suppose 3*l = 2*l + r. Calculate the greatest common divisor of l and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-962 - 685 + 509 - 1519 - 599)*(-3*x + 2*x - x).\nAnswer: 6512*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -1937*y**3\/6 + 1731*y - 2. Let o(k) = 2*k. Calculate o(j(x)).\nAnswer: -3874*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (3 - 9) - -10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5*w + 4*c = -6, -w + 2*c + 8 = 0. Solve 0*f - w = 2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -5*g**4\/24 + 5*g**3\/6 - 2*g**2. Let o be y(2). Sort o, -3, 11.\nAnswer: o, -3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3409)\/28 - (-6 - -1). Let u = -142 - h. Find the common denominator of -91\/8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.14 - -0.14. Let g = 12 + n. Which is the closest to -1? (a) g (b) 4\/7 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*i = -5, -2*k - 3*i + 5 = 1. Let n(u) = -4*u**3 - 3*u**2 - 2*u. Let w be n(k). Let s = w - -1. Solve -3*g = -4*p - s*g + 25, -4*g = p - 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n + 7*y - 0*y - 11, 735350*n - 735346*n + 4*y = -0*y - 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.055 - 0.055. Let x = 32 + -33. Suppose -s + 5 = 4*p - 6, -3*s = p. Which is the nearest to s? (a) 2\/11 (b) x (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -13241?\nAnswer: 13244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 38310 divided by 7662\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -13*i**3 + 5*i**2 + 5*i + 10. Let b(q) = 40*q**3 - 16*q**2 - 16*q - 32. What is 16*a(d) + 5*b(d)?\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4 = -4*k - k, 2*k - 5*s = -20. What is the remainder when 2882\/121 - ((-4)\/22 - k) is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 9361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 12 = -9 - 27 - 23, 4*r + 5*t = -231 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*l = 27, -23 = a + 5*l - 0. Find the common denominator of (-150)\/(-24)*a\/(-2) and 37\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 10. Let s = 0 - 6. Let l = s + -2. Let d be h(l). Solve 5*u + 2 = -d*t, 5*u - 8 = 3*u - 3*t for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 363, -5 in ascending order.\nAnswer: -5, -1, 363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 1800.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**6*q**2 + 4*j**3*q**2 + 26*j**2*q**2 - 2*j**2 wrt j.\nAnswer: 120*j**3*q**2 + 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/17 and 23\/1394?\nAnswer: 1394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1119.1 and -0.055975.\nAnswer: 1119.044025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5732 to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(-3 + (-3)\/((-6)\/23)). Suppose -g = -6*p + 13. What is the remainder when p is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2989 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1138556*o*w**3 - 2*o*w**2 - 14983*o + 82 wrt w?\nAnswer: 3415668*o*w**2 - 4*o*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (6\/(-4))\/((32\/240)\/(1812\/(-15))) is divided by 32?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - (12 - 4 - 5)) + 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 6, 5*m + 3*w = -42292 + 1092483. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**2 - 64 - 11*x**3 + 64 to r*x**2 + v*x**3 + b + i*x and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - -6)\/(8\/((-7040)\/(-2))) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from eetooeeeoete?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3482572163 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.18 in -0.2, -0.03, -19?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 5*m + 27, 2*m = -x - 2*x + 12. Suppose 0 = s - x*s + 15. Calculate the lowest common multiple of s and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -14797304 and -0.3.\nAnswer: -14797304.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 17*o**2 + 41*o + 209. Let w be l(-15). Solve 0 = -w*u - 16*u - 120 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -p**7\/315 + p**6\/225 + p**5\/150 - p**4\/90 + 5*p + 2. Let u(x) be the first derivative of r(x). Factor u(v).\nAnswer: -2*v**2*(v - 1)**2*(v + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32972, -33051, -33130, -33209?\nAnswer: -33288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3b + -a?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-21))\/(((-25)\/525)\/(1\/(-27)))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -0.06\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-4 - 0) - 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + d - 20. Let g be (2\/2)\/(55\/d). Put 4, g, -0.2 in increasing order.\nAnswer: -0.2, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37692438?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-3)*38\/(-38)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 + 18. Find the common denominator of 71\/14 and ((-2)\/k)\/(20\/(-632)).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -9*l + 36. Let w = -109 - -112. Let v be h(w). Suppose 104 = -v*t + 365. What is the remainder when 35 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**6 + 104*h**3 + 31*h**2 + 2*h?\nAnswer: -120*h**3 + 624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*m - w - 2118, -25 = 5*w. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 589?\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 0.06 (c) 4 (d) -2\/17 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 52\/10 + 10\/(-50). Solve 2*z - y = 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.351 - -56.851. Let r = o - 61.5. Which is the biggest value? (a) -4 (b) -3 (c) 2\/15 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/54 and -119\/270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.7 and 5.73 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**5\/2 + 3*g**4 - 4*g**3 - g**2 + 9*g\/2 - 2 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146013553?\nAnswer: 7, 20859079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 45 = 3. Let v = 38 - 19. Suppose 0 = -5*z + 41 + v. What is the highest common factor of z and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 + -32. Suppose h*m = -5*m + 10. Let j = -2 + 4. Solve -16 = 3*q + q - m*o, -j*o = 4*q + 8 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 1 = 4, -4*r - 12 = 2*x. Suppose 2*v + 3*s = -5, -s = v - x*s + 1. Suppose -1 + 3 = v*q, 2*q = 3*b - 31. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q**3\/3 - 4*q**2 - 2*q. Suppose 8 = -2*a, -3*a = 3*s - 60 - 18. Suppose 0 = -2*n - 3*n + s. What is i(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46716 a multiple of 229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4639 or 5285?\nAnswer: 4639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 252.853 and -27.\nAnswer: 225.853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 71059494 to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*j - 15*j + 5*w - 1342, 2*j - 660 = 3*w. Let a = -317 + j. Suppose -4*o = o - 60. Solve -4*h + 0*h + d + a = 0, 0 = -3*h - 4*d + o for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -126?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 116888422130 from -31.\nAnswer: -116888422161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 96.774 - 97. Let j = 0.031 + c. Let z = j + 0.2073. Round z to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20101 (base 3) in base 8?\nAnswer: -254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -w + 5*v, -25 = 3*v + 2*v. Let o be 2\/(2\/(-3))*w\/(-21). Let h be -3 - (o - (-78)\/(-15)). What is the fourth smallest value in -3, h, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*w + 5 + 1017. What is the remainder when w is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4614576*l**4 - 70*l - 35933 wrt l?\nAnswer: 55374912*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 672054 to the power of 1\/2, to the nearest integer?\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 552333694?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/200*8)\/(7\/5).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.95 less than 965379?\nAnswer: 965399.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 + 66?\nAnswer: 66.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 4*g**2 + 3*g - 5. Let v be x(4). Suppose 3*h - 2*a + v*a - 27 = 0, 0 = h + 2*a - 8. Is 2026\/h - (-2)\/7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 419*p**2 - 4*p + 3. Let m be i(-5). Suppose -3*s + m = -0*g + g, -5*g = 10. 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: What is the derivative of 21181746*v**2 + 10647606 wrt v?\nAnswer: 42363492*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3510 and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*k + 4*k + 20 + 38*k**2 - 9*k + 5*k**2 wrt k.\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -n**4\/4 + 4*n**3 + 3*n**2\/2 - 14*n - 19. List the prime factors of s(12).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.08 (b) -0.1 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15923869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 8, 3, -2, -7?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 224807975 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of 9*k**4\/8 + 13*k**3\/3 + 40*k**2. Differentiate i(r) with respect to r.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/7, 2\/11, 45 in descending order.\nAnswer: 45, 6\/7, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 + 11. Let u be k\/(-156) + 15\/(-13). Which is the biggest value? (a) -1\/3 (b) 0.2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q + 2. Let z(d) = -4*d**3 - 24*d**2 - 12. Let k(x) = -5*x**3 - 25*x**2 - 12. Let r(w) = 3*k(w) - 4*z(w). Let y be r(-21). What is c(y)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/6, -7, -2.\nAnswer: -7, -5, -2, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 6615?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 2*j**2 + 3*j + 2. Let k = 13 - 16. Calculate the lowest common multiple of x(k) and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 7*i + 8. Let b be a(-6). Suppose -44 - 12 = -b*n. Let j = n - 14. Calculate the greatest common factor of 84 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*g - 2*a + 174, 4*g - 363 = -a. Suppose -3*r - h + 4*h = -g, -5*r + 190 = 5*h. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 f when three letters picked without replacement from iirifdidddfvrj.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6976 + -4775. Calculate the lowest common multiple of 426 and c.\nAnswer: 13206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 216 and 397791?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 23 - (6 - 3\/1). Suppose 287*o - 292*o = -20. Solve -8*l + o*l = -2*q + f, -3*l - 9 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-119 + 119 - 129*v)*(3 - 4 + 2).\nAnswer: -129*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*n + 1122, -2*n - 1634 = -3*a + 1760. Suppose 13*j = 4*j + a. Calculate the remainder when j is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -3.7. Let f = -54 + 52. Let c = 1127\/15 + -75. Sort f, c, s in decreasing order.\nAnswer: s, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l + 10. Let z be o(-6). Let m(a) = -39*a - 3. Let p be m(-3). Suppose z*v = v + p. Calculate the remainder when v is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-22)*14\/168*-8. Which is smaller: z or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 4:22 AM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 384328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**1\/p)**(15\/2)\/(p\/((p\/p**(1\/5))\/p)*p**(-1)) assuming p is positive.\nAnswer: p**(73\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zng when three letters picked without replacement from ngzunkb.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*q + 22*q - 10 = -5*s, -5*q - 10 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 137161446 to the nearest integer?\nAnswer: 11712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -71 - -70.959. Round j to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 338*a**4\/5 - 121524*a**3\/5 - 35632*a**2 - 62796*a\/5 - 6498\/5 = 0.\nAnswer: -1, -3\/13, 361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/282 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*f - 4 - 2*f + 15*f)*(-2*f + 19 + 19 - 1) to k*f**2 + i*f + m and give i.\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/220*-11 - 44195\/(-50) is divided by 42?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - -25 - (0 + 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - 22) + ((-2 - -1) + 2 - (54 + -57)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -686*t**5\/15 - 6763*t**3\/6 - 11069*t**2. Find the first derivative of o(v) wrt v.\nAnswer: -5488*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 8*g**2 - 5*g + 27. Give j(8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 1233171*z**2. Let y(i) = 17*i. Determine u(y(o)).\nAnswer: 356386419*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 6601 and 6603 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 70 * -743\nAnswer: -52010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*x**3 - 47*x**3 - 43*x**3 - 13*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9036442479 and 1.65?\nAnswer: 9036442477.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/2)\/t**(-2\/15)*(t*t**(-2\/19)*t*t*t)\/t**(-1\/3) assuming t is positive.\nAnswer: t**(2201\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (24\/(-15))\/(-2)*5. Suppose h*u = -u + 35. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -754959 plus -109.8?\nAnswer: -755068.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2008172 years in decades?\nAnswer: 0.02008172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10664 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002108516 rounded to six decimal places?\nAnswer: 0.000211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express z - 7 + 1 + 15*z - 9*z as l*z + b and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b - b = 36. Let q be 3*(((-134)\/(-21))\/(-2) - b). Sort -2, -4, 0, q in increasing order.\nAnswer: -4, -2, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/240 and 97\/426.\nAnswer: 17040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus -16394783?\nAnswer: 16394783.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 10 = -5*s. Calculate the common denominator of -3*((-155)\/(-18))\/s and (-4)\/18 + (-2932)\/(-72).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113 divided by 79\nAnswer: 113\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/((-24)\/(1440\/25)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -9. Let s = l - -1. Let c be (-8)\/(-12) - s\/(-3). What is the greatest common divisor of 6 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1025776533 to the power of 1\/3, to the nearest integer?\nAnswer: 1009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 8 and -25 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 13 = 3*t, 3*p + 5*t - 25 = -2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 15 = 9*k - 4*w, 2*k + 4*w + 6 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**3 + o**3 - o**3)*(54 + 18076*o + 6*o**2 - 18076*o).\nAnswer: 18*o**5 + 162*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50 - -98. Is 5 a factor of (c\/1)\/((-3)\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*s - 33 = 177 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1552089 and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -115\/2 (b) -32 (c) -0.1585\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*v - 4 + 4 - 1074*v.\nAnswer: -974*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 - 28 = -4*r - 3*v - 30, -2*r + 3*v + 2 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 632 is divided by 60?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -603*z = -523*z + 480 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0274 + -77.9726. Put -2\/3, -4, o in descending order.\nAnswer: -2\/3, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 25\/9*w**3 + 4\/3*w + 10\/3*w**2 + 1. Factor m(a).\nAnswer: (5*a + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -163854.33851 + 0.08017.\nAnswer: -163854.25834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 0.5, 9, 39?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04478 rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (-8 - (-2 - 12)) - 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 43*j + 5. Let r(v) = 3*v + 1. Let h be r(1). Suppose 5*c - 58 = 2*t, -t + h = 3*t. Is u(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168 and 424.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-32))\/((-12)\/8).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-10))\/(10\/(-50))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4247, -4253, -4261, -4271?\n\"Answer: -w**2 - 3*w - 4243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 3*i**5\/5 - 3*i**4 - 42*i**3\/5 + 108*i**2\/5 + 216*i\/5 = 0?\nAnswer: -2, 0, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*p**3 - 3 + (203 + 6*p**2 - 203)*(4 - 4 - p))*(4 + 4 - 3)*(1 + 1 - 1).\nAnswer: -40*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-6) - (1 - 0). Let q = -10 - -6. Let y = 27.929 + -27.829. What is the closest to 0 in h, q, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q - 2. Let f be j(0). What is the units digit of (39\/6)\/(f\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttl when three letters picked without replacement from srlssrpsptrrwstrs?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 180 = r. Let y = -6464 + 6456. What is the smallest common multiple of 1 - (-3)\/((r\/y)\/5) and 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -416*o = -418*o + 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8626 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -745 + 107736?\nAnswer: 106771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 3)*(-t + 7*t - 2*t)*(-4*t**2 + 2*t**2 + t**2).\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1749*i**2 - 268*i - 2 wrt i?\nAnswer: -3498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 360\/823?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/3)\/l)**(12\/5))**(1\/32)\/((l**0)**(3\/7)*(l**(-2))**(11\/5)) assuming l is positive.\nAnswer: l**(35\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -222.993 + -0.007. Let l = c + 222.94. Let i be (-48)\/(-63)*(-3)\/4. Is i less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11, -8, -5, -2, 1, 4?\n\"Answer: 3*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 5400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 85159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -12 + 4 + 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 25\/10*(-1 + 3). Suppose j + 3*t = -2*t + 12, 3*j - 4*t + 2 = 0. Suppose -3*z + a = -j*z. What is the remainder when 13 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (350\/(-5)*(-2)\/(-12)*16\/112)\/3?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24.056 + 0.056. Let s = -23.25 - c. Let v = s + 0.25. Is -9 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 2, -41, -108, -205, -338, -513?\nAnswer: -736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -4. Suppose 5*g - 17 = z. Solve 0 = -g*y - 2*t + t - 3, t = 2*y - 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9976 is divided by 1654.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*i**3*o**4 + i**3*o**2 - 144*i**2*o**5 - 6064*i*o wrt o?\nAnswer: 240*i**3*o - 8640*i**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2336345?\nAnswer: 5, 11, 107, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 0*r**2 + 1643*r**3 - 1644*r**3 + 9. Calculate the lowest common multiple of 30 and d(0).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -113, 11, 2\/7, 0.2, -6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/6)*(t*(t*t\/t**4*t*t)\/t)\/t)\/(((t*t**(-3))\/t)\/(t\/(((t\/t**(1\/4))\/t)\/t))) assuming t is positive.\nAnswer: t**(49\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/1386*-21)\/((-1)\/(-3))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9.634212 decades?\nAnswer: 1156.10544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 29*a**2 - 165*a - 623. What is w(14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1909990000 to the nearest one million.\nAnswer: 1910000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4))\/((-2)\/(-16)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 - 1. Let o = 36 - 40. Let y be o + (-2 - -31) + -2. Suppose -5*q + y = s, 4*s + 3*q = -q + 12. Calculate f(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15282 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 7\/198?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -8*v + 5*t + 3, -9 = -3*v - 3*t. Suppose -v = -2*f - w - 17, 0 = -2*f + 4*w. Let o be (2\/3)\/(f\/(-63)). Is 2\/5 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -302 + 377. Let v = 369 - k. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19710 - -19711. What is the nearest to -0.03 in -1.7, 4, -0.2, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4077 is divided by 227?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 485 and 1164.\nAnswer: 5820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5 - 883*q - 23 + 869*q + 7. Let r(y) = 9*y + 7. Let p be 10\/18*-3*-3. Let z(x) = x**2 + 2*x. Let j be z(2). Determine j*r(f) + p*d(f).\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 166393255 and 2590.\nAnswer: 1295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 - 22)*16\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 129*p - 2001. Determine w(115).\nAnswer: -391","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -11. Let t = g + 13. Let y = 13 - 8. Calculate the highest common factor of y and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*i - 7, -1 = -i - 2*d + 2. Let x = i + 15. Let j be x\/(-15)*(-9)\/2. Solve -10 = p - 5*w, j*p = 5*w + 1 - 11 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*v - 471061 = 4*v + 189599. Does 154 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**3\/7 - 29618*j**2\/7 + 177622*j\/7 + 29606 = 0. What is j?\nAnswer: -1, 7, 14803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 490000 to the nearest 10000.\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3 = -4*o - 5, -5*o = -r - 11. Let t be (-15 - r\/6)*1\/(-1). What are the prime factors of 111 - (-7)\/t*(1 + 1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 4 + 1)*(-2*f + f + 0*f)*(1 - 1 - f) + 4*f**2 + 3 - 1 - 4.\nAnswer: 8*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 404*o - 98*o + 4 - 117*o in the form p*o + f and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, -3.8, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 7:00 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/275)\/(2\/5).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.19 - 0.189914. What is q rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30559 + 7087 = -12*l. Suppose -3*z = 5*a - 1916, -z + 3*a + l = 2*z. List the prime factors of z.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**4\/4 + 49*s**3\/4 - 39*s**2 = 0.\nAnswer: -52, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a - a + 6*a)*(-251*a**2 + 251*a**2 - 102*a**3) as d*a + o*a**4 + z*a**2 + j + k*a**3 and give o.\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/237 and 149\/1811850.\nAnswer: 143136150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-15) - (-4)\/6.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3 - (-13 - -11))\/(2\/(-2974))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58 - (-25 + 77 + -21)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 7*b + 5*d + 371, -4*b + 452 = 4*d. What is the remainder when b is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -262057835 bigger than -262057836?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1733*k + 37*k**3 - 3466*k + 1733*k.\nAnswer: 37*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/60940 and 25\/13857756?\nAnswer: 69288780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooioxxuoiiocco. Give prob of sequence uxoo.\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 24319532.18 to the nearest 1000.\nAnswer: 24320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*y - 10 = 0, -4*g + 5*y = -0 - 10. Suppose b - 5*b - 140 = g. Let r = 1 - b. 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: Suppose -2*p + 5*q = 32, -12*p + 4*q + 14 = -17*p. Put -3, p, 0, -98 in ascending order.\nAnswer: -98, p, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3.5 (b) -0.05 (c) -786 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k**4 + 28*k**3 - 4*k**2 + 42*k - 1663. Let q(a) = -4*a**4 + 35*a**3 - 5*a**2 + 43*a - 1662. Let f(y) = 4*q(y) - 5*x(y). Differentiate f(w) wrt w.\nAnswer: 16*w**3 - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - s + (-5 - 2 + 1)*(-4 + 3*s + 4) + 0*s - s + 0*s.\nAnswer: -20*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i + 2*i + 0 + 1)*(-16 + 0 - 1)*(-39*i + 18*i - 21*i) as m + a*i + c*i**2 and give a.\nAnswer: 714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*f = 5394, 2*a + 2*f - 13499 = -3*a. Is a a prime 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 - 93*y + 116. What is t(-11)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 51040 a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18 - -23) + (-3 - -1). Suppose -7*f + 100 = a*f. Solve p + f = 3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 656?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -101001101111?\nAnswer: 101001110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -98 - -197. Is 33 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19993694\/6525 + 27577\/9. Find the common denominator of 71\/580 and t.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 656*n + 57*n + 4991 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43088.\nAnswer: 2, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x**2 + 8*x + 5. Calculate i(4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 9*t**2 + 5*t + 47. Let c be d(-9). Let s be (5 + 35\/(-10))\/(1\/c). Solve 4*g + 9 = -s*i + 2*i, 5*i = -g + 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m. Suppose 3*n + 39 = 3*w, 5*w - 4*n = 72 - 10. Let f(a) = -w*a + 10*a - 14*a**2 - a - a**2. Give f(v(q)).\nAnswer: -60*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**3*w + 134219732*r**2*w**3 - 704955*r*w**3 + 8*r wrt r.\nAnswer: 6*r*w + 268439464*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.17 + 1.17. Let l = -81.2 + 81. Let x be (-3*12\/9)\/(-22). Which is the closest to x? (a) -0.4 (b) h (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 + 39*q**2 - 22*q**2)*(3*q + 0*q - 5*q).\nAnswer: -34*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in millimeters?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 57, 247, 763, 1767, 3421, 5887, 9327, 13903?\n\"Answer: 27*y**3 + y**2 - 2*y + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 4*v + 21, 4*l + 2 - 29 = 5*v. Let u be (l\/(-3) - -5)*2. Calculate the highest common divisor of u and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.7427556 and 1.\nAnswer: 1.7427556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 299*k - 312*k + 104 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v**2 + 2*v. Suppose 20 = -3*l + 13*l. Let r(n) be the second derivative of n**4\/12 + n**3\/6 - n. Calculate l*r(o) - g(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1086 a factor of 572518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7630 (base 10) to base 15.\nAnswer: -23da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144999479?\nAnswer: 1531, 94709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3354897699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) -1 (b) 1\/3 (c) 0.1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven halves of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4 + 12*a + 2 + 1 - 5. Calculate the remainder when y(3) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10236727*p**3 + 4*p**2 - 2289761*p.\nAnswer: 61420362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75\/5*40\/(-30)*2\/8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -17415 (b) -1.348 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8\/15 - -2\/15. Sort -2\/15, -1, w, 4 in descending order.\nAnswer: 4, -2\/15, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -102*r - 632. What is z(-6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22383785*v = -22383782*v - 9, 5*v = h + 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -75*k**5 + 2*k**4 + 8713*k**3 - k**2 - 664*k + 1281 wrt k.\nAnswer: -4500*k**2 + 48*k + 52278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one fifth of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.078 (b) -2\/11 (c) 4312\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1153 - -1170. Let x = -21 + 24. Let t be x - (-8)\/12*21. Calculate the greatest common divisor of v and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 868 + -422. Is 44 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(-1\/4)*a))\/(a\/(a**(-6\/5)*a))*((a*a**(-6\/7)*a)\/a)\/a*a**(-1) assuming a is positive.\nAnswer: a**(-533\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6542940*l**3*w - 827*l**2*w + 6*l**2 + 6*l*w - 208*l + w + 1 wrt l.\nAnswer: 39257640*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 11:47 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*s = 27*s + 40 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 7*w - 6, -10*w + 40 = -5*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -25481, -50963, -76445, -101927?\n\"Answer: -25482*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*v**3 - 128*v**3 - 538*v**3.\nAnswer: -729*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 = 5*k + 4*n, -12060 + 12144 = -5*k - 2*n for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(243) + sqrt(243) + 0 - sqrt(3)) + ((-2 + (sqrt(6)\/sqrt(2) - sqrt(3)))**2 + sqrt(3) - (5 + sqrt(3)*-1 + sqrt(3))).\nAnswer: -6 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 512*c - 514*c = -2, -3*j + 2 = 4*c for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence beb when three letters picked without replacement from {g: 3, e: 1, b: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-6) + (62358\/(-36))\/(-19). Suppose 15*b + 1 = i. Calculate the lowest common multiple of 9 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, 1, 5, -0.05, -680?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, p: 1, a: 1, f: 1, k: 1}. What is prob of sequence ak?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2392755 is divided by 37980.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7273404 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h + 7*h**2 - 2*h**2 + 2*h - 2. Let x be g(2). Solve -4*q - 3*z = 23, 2*z - x = 5*q + 4*z for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1)**(7\/4))**(23\/2)*(k**(-5)\/k**(-14\/3))**(1\/17) assuming k is positive.\nAnswer: k**(8203\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m**3 - 43*m**2 + 1597*m + 11. Give r(17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -398*w - 55342. Give m(-139).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -a - 2*u + 16, -5*u - 9 + 50 = 13*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*m - 440. Suppose -11*n + m = -6*n. Suppose 4*w - 7 = -4*b + 29, 0 = -4*w + 3*b + n. What is the highest common divisor of w and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-43)\/(-129) - ((-16)\/6 + 3). Sort h, 4, -7 in ascending order.\nAnswer: -7, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 228 + 5?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*r**2 + 4*r - 3*r - 2*r.\nAnswer: 144*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + (97 + 1 - -1). What is the remainder when (138\/8)\/(x\/44 + -2) is divided by (-2)\/(1 + (-19)\/18)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(7\/3)\/(r**9*r)*r**(6\/7)\/r*r\/(r\/(r**(2\/15)*r*r*r)) assuming r is positive.\nAnswer: r**(-491\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -173452, -346342, -519232?\n\"Answer: -172890*y - 562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -5*l**3 + 8*l**2 - 8*l. Let f = -394 - -386. Let u(v) be the third derivative of v**6\/40 - v**5\/12 + 5*v**4\/24 - v**2. Determine f*u(w) - 5*g(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 4*p**2 - 3*p + 9. What is v(-8)?\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/20081 and 107\/102340.\nAnswer: 47792780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*d - 11. Suppose -d*j + 28 = 2*j. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 2*d = 2*q - 16, -4*q = 4*d + 28 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -58, -67, -76?\n\"Answer: -9*q - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -454a104 - -1?\nAnswer: -454a103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 d when two letters picked without replacement from {d: 1, y: 2, c: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 9*z + 3. Suppose 0 = 2*t + t - 5*t + 10. What is c(t)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, s: 16}. Give prob of picking 1 l and 1 s.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -642281\/9 + 76041. Let m = 4683 - n. What is the common denominator of -46\/3 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 17\/5 + (-14)\/35. Let v(y) be the first derivative of 47*y**3\/3 - y**2 - 4*y - 209. Is v(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k*k*k\/(k**3\/k))))\/k**(1\/4))\/((k\/(k**(-5)\/k))\/k*k*k*k**19\/k*k) assuming k is positive.\nAnswer: k**(-105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 6*i - 27. Let d = i - 4. Differentiate 8*t**4 + 6*t**4 + 7 - 5*t**d with respect to t.\nAnswer: 36*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 7:05 AM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 3) + (3 - -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10959 = -86*o + 204115. List the prime factors of o.\nAnswer: 2, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -13*a - 25. Suppose 2*g - 60 = 7*g. Let u be i(g). Let n = -76 + u. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (-2997)\/7 - -2. Suppose -4*f + f - 1295 = 4*i, 3*f + 2*i + 1291 = 0. Let v = f - g. What is the smallest value in -2, v, 3\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5739\/26900 - 26\/269. Find the common denominator of j and 61\/660.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 10) to base 11.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*r - 287 = 282*r + 1009 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -4*u**3\/3 + 1334. Let q(r) be the third derivative of 4*r**5\/15 + 2*r**2. Give q(a(v)).\nAnswer: 256*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -5*f. Suppose 12 = 2*v - 4*k, v + 4*k + 6 = 2*v. Suppose f = -n + 2*n - v. Calculate the remainder when 10 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33705.3 to the nearest 100.\nAnswer: -33700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5821, -23523, -53067, -94459, -147705?\nAnswer: -212811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04 - -0.2. Let d = h - 17.24. Let s = d + 17. Which is the closest to -1? (a) 1 (b) -1\/4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-6)\/32*(-3928)\/1473.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.36 (b) 3 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14.97 and -1.3139.\nAnswer: -19.669083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(10\/6))\/((-33)\/22).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 274, -311, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (-81 + -1 + 4). Suppose 4*q = -20, 5*a - 4*q = -3*q + t. Suppose k = -5*c + a, -5*c - 2*k = -11 - 4. Solve c*j = -0*j - 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10398, 0.4, 28, 3 in ascending order.\nAnswer: -10398, 0.4, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 301 divide 15012131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -111b5?\nAnswer: -111b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**4*d**15\/d assuming d is positive.\nAnswer: d**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (2\/(-4))\/((-14)\/840) and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 11:39 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 9*s**2 + 11*s - 10. Let y be b(10). Suppose y = 5*i - 74 - 196. Is 2 a factor of (-2)\/(-8) - i\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1529796 a multiple of 394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) 0.2179 (c) 0.03 (d) 3\/2 (e) 0 (f) -4 (g) -66\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u + 2. Let c(g) = 3*g - 7. Suppose -l + 3*t = 0, -2*l + 4*t + 1 = -3. Let z(r) = l*c(r) + 21*h(r). Let m(y) = 3*y. Calculate m(z(s)).\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 92417*r**2 - 88941*r wrt r.\nAnswer: 184834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 6*j**2 - 7*j + 3. Let g be x(-7). Suppose -4*b - 4 = 0, v - 8 = 2*b + g*b. Put v, 0, -0.01 in decreasing order.\nAnswer: v, 0, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a*a**(1\/5)\/a)\/a*a)\/a*a*a*a**26*a*a*a)\/(a*a\/a**(2\/59)*a\/(a**19*a*a)) assuming a is positive.\nAnswer: a**(14524\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 20. Let p(j) = j**3 + 8*j**2 - j + 2. Let g be p(o). Suppose 13*s - 9 = g*s. Solve -11 - 4 = -s*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -251 (base 7) in base 10?\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 1, 5, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 4*n**2 + 424*n + 11236 = 0.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifty-five quarters of a day?\nAnswer: 19800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 17, 21, 37, 71, 129, 217, 341?\n\"Answer: i**3 - 3*i + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/8 (b) 1 (c) 2\/41 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q*q\/(q**(-5)*q))**9*q**(-17\/3)*q\/((q*q**(-2\/43)\/q)\/q))**(-8) assuming q is positive.\nAnswer: q**(-70568\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000233235 to 7 dps.\nAnswer: -0.0000233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2500)\/16*(4 + (-232)\/60) and (-12)\/(-8) - 408\/298.\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(1 - (0 - -2)). Let r(k) = 1. Let a be ((-10)\/(-6))\/(3 - 8\/3). Let n(p) = -4*p + 3*p**2 - 4 + 8*p - 5*p - a*p**2 + 10. Determine i*r(z) - n(z).\nAnswer: 2*z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 277, 278, 279, 280?\nAnswer: 281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -170*o**2 - 1545*o + 1. What is t(-9)?\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**4\/5 + 4*i**3 - 14*i**2\/5 - 128*i\/5 + 24 = 0.\nAnswer: -10, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 262, 529, 796, 1063, 1330, 1597?\nAnswer: 1864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d**2 + 22*d**2 + 0*d**2)*(-8 + 61*d - 63*d - 42 + 12) as q*d + v*d**2 + b + a*d**3 and give a.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h + 1. Suppose -5*c + 8 = -z - 22, -2*z - 30 = -4*c. Let k(x) = x**2 + 5*x - 1. Let v(q) = z*l(q) - 3*k(q). Differentiate v(n) wrt n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 571 = -4*x + 585, -3*i = -3. Let q(s) = -27*s**2 + 4. Let c(p) = 1403*p**2 - 207. Give x*c(n) + 207*q(n).\nAnswer: 23*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-3 - -4 - -2) + -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 44*v**2 - 3*v + 9. Let s be l(-5). Let o(g) = 3*g**3 - 3*g**2 - g + 3. Let z be o(6). Let y = s - z. Is y 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) 3\/2 (b) -44\/535 (c) -146\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**3 - 9*j**2 - 9*j - 4. Let b be z(6). Suppose 438 = 4*a + b. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/760 and 25\/6?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {g: 1, q: 1, u: 1, a: 2, c: 1, p: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 5*a + 9. Let d be g(4). Suppose -d*v + 88 = -12. Solve -j = -1 - 4, v = -2*b + 4*j for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**3 + h**2 + h - 1. Let t = 1 - 0. Let b be m(t). Let d(l) = 1 - 5*l**2 - 8 + b*l**2. Determine d(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93714.86um to millimeters.\nAnswer: 93.71486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 e when four letters picked without replacement from {q: 3, l: 2, e: 7}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 6. Suppose 3*g + 2 = -1, -3*k + 3 = 3*g. Sort z, -6, k in decreasing order.\nAnswer: z, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 340369497 to the power of 1\/3, to the nearest integer?\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -1. Let k = -0.02 + -0.58. Let u = k - -2.6. Which is the closest to 1? (a) u (b) g (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -y + 28. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - -17 - -1 - -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.56742um in meters?\nAnswer: 0.00006956742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b - 2. Let a(l) = 35*l + 41. Give -a(h) + 5*d(h).\nAnswer: -20*h - 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -28 - 14 - 13 - j + 58. Suppose 0 = 5*h, 5*h = -5*i + 2*h + 15. Let f(w) = -2. Determine i*d(l) + 4*f(l).\nAnswer: -3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.073 + 13.073. Let b = h + -12.5. Sort -0.6, b, -5 in ascending order.\nAnswer: -5, -0.6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-197 - 1470 + 221)*(-2*g + 3*g + 5*g) + 3*g - 3*g + 2*g.\nAnswer: -8674*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 + -2 + 584 + 3 and 3.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11*(-234)\/8580)\/(9\/35)*15\/98\nAnswer: -5\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/1)\/((-27)\/(-189))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 22 = -1282*x + 1287*x, 2*x - h - 9 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = h + 1, -7*z + h = -5*z + 1. Suppose z*y + 17*y - 1292 = 0. List the prime factors of y.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -234971 + 2\nAnswer: -234969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n - 52986 + 49177 + 118657 = 0. List the prime factors of n.\nAnswer: 2, 37, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/36*21\/420.\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -30\/7531 (b) -5 (c) 2\/3 (d) -2\/3 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((63\/((-11340)\/8))\/(12\/10)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in nine tenths of a hour?\nAnswer: 3240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -421.85 - -435. Round c to 0 decimal places.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -452 - -473. What is the remainder when 585 is divided by d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 318444.2064 to the nearest one thousand.\nAnswer: 318000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1280 divide 824346880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -15 + 23 + -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in nine tenths of a century?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*d**3*m*v**3 + 2*d**3*v**3 + 148*d**3*v + 58*m**3 with respect to m.\nAnswer: 4*d**3*v**3 + 174*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-5)\/m**(-1))**(-31))**(-29\/3) assuming m is positive.\nAnswer: m**(-3596\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -82265.27 to the nearest one thousand.\nAnswer: -82000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**5\/7 - 1790*m**4\/7 - 79894*m**3\/7 - 154426*m**2\/7 - 76320*m\/7 = 0. Calculate m.\nAnswer: -848, -45, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -427 (b) 29.2 (c) 1\/5 (d) -4 (e) -1\/4 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**2 - 5*a**5 - 35*a**4 + 6*a**2 - 9*a**2 + 0*a**5 - 60*a**3 = 0?\nAnswer: -4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 901, 916, 931?\n\"Answer: 15*t + 886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320*d + 170*d = -187*d - 296 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135003 is divided by 132397.\nAnswer: 2606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b\/(b**(2\/25)\/b)))\/(b*b**(-22)))\/(b\/(b\/b**11))**(-22) assuming b is positive.\nAnswer: b**(6527\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 126*h**2 - 1617*h + 4845. What is w(3)?\nAnswer: 1128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -1134*c - 9033. Let m be u(-8). Solve 19*p + m = 58*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001352 rounded to seven dps?\nAnswer: -0.0000135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/20 + 756151\/198220 + -4 + 0\/(-2)\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 9. Find the second derivative of -3*w**3 + k*w**3 - 12*w + 10*w**5 wrt w.\nAnswer: 200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bttubbbbt.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2670, -10595, -23796, -42267, -66002, -94995?\n\"Answer: s**3 - 2644*s**2 - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 688049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -2, 2, -5 in descending order.\nAnswer: 7, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 + 20*o - 24 + 0 - 5 + 6*o.\nAnswer: o**2 + 26*o - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -n + 3 + 11, 4*n - 21 = -x. Suppose x*y = 6 + 14. Let g(s) = 2*s**2 - 4*s - 3. What is g(y)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 986 a factor of 1173375205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/5 + 2313*c**2 + 33615843*c\/5 + 1031006959\/5.\nAnswer: (c + 31)*(c + 5767)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of 7*p**6\/6 - p**5\/20 - 1117*p**4\/12 - 1007*p**2. What is the second derivative of i(o) wrt o?\nAnswer: 840*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 - -48. Suppose -5*z + 2*q + j = 0, -4*z + z = q - 12. Let d be (5 - 2)\/3 + 5. Solve 2*i - d = i - 3*o, -2*i + z*o = 18 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f + 15 - 560*f**2 + 30 - 44 - 429*f**2 to w*f**2 + m*f + k and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*t + 408 = -112. Suppose -59 - 1369 = 3*v + 3*f, -v - 2*f = 478. What is the remainder when 1\/(3\/v*-2) is divided by t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 - -5 - (3 - 12). Let t = i + 0. Suppose z - 10 = 2*n, t = z - 5*n - 16. Solve 2*u - 1 - 5 = z for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13.2 - -13.05. Is v equal to -0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o**3 - 5*o**2 + 7*o - 31. Suppose 8*r - 3*r = 2*t - 22, 0 = 3*t - r - 20. Is 14 a factor of u(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-217)*98\/28.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/5))**(-41)*b**0\/(b*b*b**0) assuming b is positive.\nAnswer: b**(72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -2\/3 (b) 16 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 70 = -2*u - 4*n, 3*u - 85 = -n. Let p be ((-26)\/u + 1)*(-40)\/48. Put p, -3\/2, -9\/5 in decreasing order.\nAnswer: p, -3\/2, -9\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(26)\/sqrt(2)*-6.\nAnswer: -24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -891, -1789, -2687, -3585?\n\"Answer: -898*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 306 + -304. Suppose 16548 = 4*a - t*s, -3*a = s + 1990 - 14411. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194790 is divided by 937?\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13, 26, 63, 136, 257, 438, 691?\n\"Answer: 2*r**3 - r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 586\/7 + (-4)\/(-14). Suppose -3*k + 2*i + 15 = -i, 24 = 2*k + 5*i. Let j = k + f. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18345862?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -2935\/18218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 1:52 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11025644 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 22*i + 12. What is j(19)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - l**2 + 5*l - 1. Suppose -72*a + 22*a = -800. What is the remainder when r(-4) is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*x - 3*x - x + (2*x - 4*x + 0*x)*(1 + 1 - 4) + 3*x - 3*x + 2*x - 21 + 6*x + 21)*(2*x**2 - 4*x**2 - 3*x**2) to d*x**2 + c + q*x**3 + f*x and give q.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 171 + -162. Suppose -n*a = -6*a - 30. Solve 0*x + 4*x + a = 5*u, -4*x - 16 = -2*u for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaafcaccfff. What is prob of sequence fcfc?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-5 - (-3 + -5))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 50561 (base 7) to base 12\nAnswer: 7145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + -5 + (sqrt(13) - 2*sqrt(13)) + sqrt(39)\/sqrt(3) + -3 + (2 + sqrt(13) + 0 - sqrt(1573)*1)**2).\nAnswer: -120*sqrt(13) + 3885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 415008*h*o**3*p**2 + 11*h*o**2*p**2 - 6*h*o**2*p - 2*h*o + 20*o**3*p + 371*o**2*p + 1 wrt p.\nAnswer: 830016*h*o**3 + 22*h*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -12 in ascending order.\nAnswer: -12, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -11, 0.036, -2.3, 2\/3, 2\/21, 3?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 674.078 - 675. Let p = -13.108 + b. Let a = -14 - p. What is a rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11106918 divided by -9?\nAnswer: -1234102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -20740, -41479, -62220, -82963, -103708, -124455, -145204?\n\"Answer: -q**2 - 20736*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -11*q**6\/120 - q**5\/60 + q**4\/24 + q**3\/6 + 2*q**2. Let o = -1 - 0. List the prime factors of d(o).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - -37258.\nAnswer: 37258.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1304573, -1304589, -1304605, -1304621?\n\"Answer: -16*l - 1304557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-7 + -1) - (-60)\/112.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 117*p + 42*p - 5 - 132*p - 439*p - 555*p. Is k(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**3 - 87*r**2 + 74*r - 1346. What is v(43)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*m**3 + 51 - 26 - 26 as s*m**3 + y*m + l*m**2 + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*f**3 - 215*f**3 - 1645*f**3 - 28*f**3.\nAnswer: -1864*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 1265305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/22 + 172\/22. Suppose 4*q - 24 = -n. Suppose q*f - 550 = 4*h - 82, -2*h - 4 = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3, -36, -129, -312, -615, -1068?\n\"Answer: -5*p**3 + 2*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 129 - 15. Let x = u + 225. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 e when two letters picked without replacement from eeeeeeexexeeeeex.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 3:55 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*((-15)\/6 - -2). Let n be 1\/(d*2\/4). Suppose 20 = 3*o - n. Solve o = 5*a - 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 + 5*x + 0)*(-x**2 + 0*x + 0*x)*(-309*x + 36 - 139 + 102)*(4 + 1 - 4) as j*x**3 + u*x**4 + w + g*x**2 + r*x and give u.\nAnswer: 1545","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96543561 divided by -5.\nAnswer: -96543561\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 14*t + 20. Let w = -43 - -58. Suppose -2*o = -u - 212, o - 28*u - 84 = -33*u. Calculate the remainder when o is divided by p(w).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 o when three letters picked without replacement from qqqzqozzzzzfztzmz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-394366)\/13566 - 8\/(-114).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**4\/4 - 7*x**3\/3 + 2*x**2 + 13*x + 13. Let k be u(6). Solve -3*i - 8 = -i + 4*b, -i = -b + k for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 6:54 AM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 14 = -4*h, 2*i - 35 = 7*i. Let v(j) be the first derivative of h*j + 6*j**2 + 3\/4*j**4 + 4*j**3 + 29. Let v(l) = 0. What is l?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 29. Solve 4*u - 5*m + 0*m = r, -3*u - 5*m = 23 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -37\/15 in 0.05, -2\/85, -2\/17, 5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 12346448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001101101101011 (base 2) in base 7?\nAnswer: 616031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + -3802?\nAnswer: -3796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 79665 + 12377. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 20 = -4*d. Let g = -7\/2 + 67\/18. Which is the closest to g? (a) -5 (b) d (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56395129?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -315*q - 3958. Determine m(-13).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + -17.996. Let k = -2.696 - q. Let f = k + 2. Put 2, f, -0.5 in descending order.\nAnswer: 2, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6225, -6785, -7351, -7923, -8501, -9085, -9675?\n\"Answer: -3*t**2 - 551*t - 5671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - -1 - (-59 - -45)) + -3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/10 (b) -5\/3307 (c) 287\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2904)*2 - 6*sqrt(1944))\/(sqrt(8) - (sqrt(80)*-1)\/sqrt(10) - (sqrt(8) + sqrt(80)\/(sqrt(1210) - sqrt(10)))).\nAnswer: -320*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 11 - -28 - 1) + (1 - 7).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -113*n**2 + 111*n.\nAnswer: -226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = y - 3*y. Let k(h) = 2*h**2 - 5*h + 2. Determine k(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, d: 2, l: 3, f: 6, v: 6}. Give prob of picking 1 v, 1 f, and 2 l.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (0 + 1) - (39 + -6 + -34)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i - 35*i + 4*t = -6528 + 5616, 2*t - 4*t = -2*i + 46 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 24 - 9 = 0. Suppose 0 = -21*x + y*x + 18. Solve -o + 1 = 3*g + 4, -o - x = 5*g for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 263972 divided by 4?\nAnswer: 65993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209*v - 44*v**3 + 53*v**3 - 199*v.\nAnswer: 9*v**3 + 10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3408)\/(-1278))\/((-56)\/(-6))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 27675, 55345, 83015, 110685, 138355, 166025?\n\"Answer: 27670*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -376 - -973?\nAnswer: 5ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 20*f - 2*f - 3)*(1 - 1 - 1) as i*f + s and give i.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (138*j - 5*j - 79*j)*(-4*j**2 + j**2 + 2*j**2) + j**3 - j**2 + j**2.\nAnswer: -53*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 448 = 2*u - 9*u. What is the tens digit of u\/288 - (-1156)\/18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.12 or -161360?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1341)\/(-45) + -11 + -19. What is the second biggest value in -182\/3, f, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 526764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 604\/4151 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6717, 6516, 6295, 6054?\nAnswer: 5793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.364 + -13.364. Let t = -69.3 + 56.27. Let j = t - n. Round j to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 4*n**3 + 1\/5*n**6 + 1\/10*n**5 - 11\/6*n**4 + 0 - 1\/21*n**7 - 4*n - 4*n**2. Solve w(s) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 1 - (-9 - -19).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -g - 187 - 12, 505 = 5*j - 5*g. Calculate the remainder when j is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 52.\nAnswer: -5\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-60)*2*(-2)\/(4\/7)\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10110010111011100 (base 2) to base 10\nAnswer: -91612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 209. Let n(t) = -t**3 - 1. What is -6*n(c) + 2*r(c)?\nAnswer: 6*c**3 + 424","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 992936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5685149.\nAnswer: 5685149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8, 35, 80, 149, 248, 383, 560, 785?\n\"Answer: u**3 + 3*u**2 + 11*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30872702 or -154363506\/5?\nAnswer: -30872702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.0098057*-0.4\nAnswer: 0.00392228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 11:47 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (144\/5)\/((-38550)\/32125)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 527283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 171 = 414. Suppose 26*g = 273 + y. Calculate the least common multiple of 12 and g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -398 - -725. What are the prime factors of d?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(-1*(-671)\/(-44) - (-3)\/4). Is y at most as big as 36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tstttssttstee. What is prob of sequence se?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 108004*o. Let u(l) = 6*l. Calculate g(u(b)).\nAnswer: 648024*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (7 - 1 - (-286 - -274))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 569.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 418116 and 139372?\nAnswer: 418116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1565852823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -107 - 13842025.\nAnswer: -13842132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*i + 4*i**3 - 18*i)*(-2 + 4 + 0) + (-7*i + 4*i - 6*i)*(-626 + 626 + 19*i**2).\nAnswer: -163*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1, -31, -91, -187, -325, -511, -751?\n\"Answer: -z**3 - 9*z**2 + 4*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/11 + 26*z**2\/11 - 14*z - 198.\nAnswer: 2*(z - 9)*(z + 11)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-10)*5\/(-2). Let y = r + 11. Let j(k) = k**2 + 144*k + 3969. Calculate the least common multiple of j(-107) and y.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 60370*m**4 + m**3 + 0*m**3 - 3*m**2 - 5 - 60365*m**4 in the form n*m + i + h*m**2 + w*m**3 + u*m**4 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261067085.\nAnswer: 5, 2309, 22613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 5:23 AM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4705*h. Let s(w) = 88*w**2 + 2. Determine s(k(u)).\nAnswer: 1948058200*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4\/8 - 2439*v**3\/8 + 89037*v**2\/4 - 1131117*v\/2 + 4844385.\nAnswer: 3*(v - 735)*(v - 26)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 1:15 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-4 + 6 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -21*o**5\/20 + 5*o**4\/12 + 135*o**2\/2 + 154*o. What is the derivative of r(d) wrt d?\nAnswer: -63*d**2 + 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 3. Let p be 4\/(-6)*2246*(-9)\/g. What is the third derivative of -28*k**5 + 26*k**2 + p*k**3 - 1123*k**3 wrt k?\nAnswer: -1680*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 283953 = 11*l - 282147. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43163.\nAnswer: 17, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (b + 0 + 0)*(-126 + 81 + 100) in the form l*b + f and give l.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**2*k*l*n**2 - 32*j**2*l**2*n**2 + j**2*l**2*n - 3*j**2*l**2 - 2*j*k*l**2 - 5*k*l*n + 2*n wrt n.\nAnswer: 2*j**2*k*l - 64*j**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 2402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from anaallaljn. What is prob of sequence nl?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 1\/22, 1, -1\/5, -2\/11, 7\/18?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7623 (base 12) in base 15?\nAnswer: -3cac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -64759\nAnswer: 129518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10, 12, 8, -8, -42, -100, -188, -312?\n\"Answer: -w**3 + 3*w**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of u**4 - 5*u**3 + 366*u**2 - 316*u.\nAnswer: 12*u**2 - 30*u + 732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 3 = -6*v. Which is greater: v or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 2) + -3 + 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2482172091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 318905453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32*b**2 - 2*b + 967 + 2*b**3 + 16*b**3 - 3946 + 16*b**3 wrt b.\nAnswer: 102*b**2 - 64*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a tonne in kilograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58 - 51. Solve -4*s = -l*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f*(f**2\/f)\/f)\/f*f*f)\/(f\/((f*f**33\/f*f)\/f*f)))\/((f\/(f\/f**14*f)*f)\/(f**(6\/13)\/f*f)) assuming f is positive.\nAnswer: f**(292\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 11. Suppose -u = 4 - 4. Put 0.4, u, l in increasing order.\nAnswer: l, u, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 131*m + 11. Let l(t) = 65*t + 6. Determine -3*b(g) + 5*l(g).\nAnswer: -68*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10798 or 10797?\nAnswer: 10798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22462 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 154, 155, 154, 151?\n\"Answer: -t**2 + 4*t + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -744, -4, -2, -54 in descending order.\nAnswer: -2, -4, -54, -744","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.348 + 2.298. What is the closest to 0.04 in -0.3, r, -1, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) - 1*sqrt(405)) + -4)**2 + 2*sqrt(405) + -5 - (-1*-2*sqrt(5) - (2 + sqrt(80))**2).\nAnswer: 32*sqrt(5) + 95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 838 - 3082. What is the units digit of ((-1)\/4)\/(4\/t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 282666 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2453749ml in litres?\nAnswer: 0.0002453749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 575*k + 4556. What is i(-6)?\nAnswer: 1106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 times 2109?\nAnswer: -71706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + -1 + 6 - (-50 - (-18 - -54))) + -16.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -17410, -69695, -156846, -278863, -435746, -627495, -854110?\n\"Answer: -17433*x**2 + 14*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3508145234?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 102 - 97. Let w(q) = -7*q**3 - 4*q**2 - 4. Let s(a) = 6*a**3 + 3*a**2 + 3. Give f*s(x) + 4*w(x).\nAnswer: 2*x**3 - x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21862, -43731, -65606, -87487, -109374?\nAnswer: -131267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*i + 3*b + 21 = 35*i, -14 = 2*i + 2*b for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 9, m: 3}. Give prob of picking 1 m and 2 j.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30 - 8*b**2 + 21 - 46)*(-1 + 3 - 1)*(2 - 5 + 5) to r*b + u + y*b**2 and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 34091407.15 rounded to the nearest 10000?\nAnswer: 34090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/30 + 7\/35. Which is the second smallest value? (a) -2\/11 (b) m (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k**2 + 2*k - 2. What is l(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + g - 20 = 0. Suppose -3*f = -7*f - 5*p + 72, g*p + 90 = 5*f. Calculate the greatest common divisor of f and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/738 and -85\/2378?\nAnswer: 21402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**3 - n**2 + 3*n - 3. Let g(q) be the first derivative of -q**4 - 2*q**3\/3 + 5*q**2\/2 - 5*q + 206. What is -5*b(o) + 3*g(o)?\nAnswer: -2*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 t, 1 a, and 1 p when four letters picked without replacement from tffttfftfvtvtttapttf.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 563668\/137115 + 3\/15235. Let s = 101608\/25 + -4065. What is the common denominator of s and o?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-460 + 958 - 13*k - 509 + 87*k)*(-k - k + 3*k).\nAnswer: 74*k**2 - 11*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 7*a**2 - 4*a + 2. Let y be c(6). Let v be (0\/(1 - 0))\/(-3). Suppose v = 2*m + y - 54. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -379197*k**4 + 2*k**3 + 3*k + 58980700 wrt k?\nAnswer: -1516788*k**3 + 6*k**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 v when three letters picked without replacement from {q: 2, d: 1, n: 3, j: 1, v: 3, f: 3}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.014 - -2.314. Let w = 0.3 - n. Let b be (-7)\/6 + 2\/4. What is the third biggest value in w, 1\/4, b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 4*k**2 - 3*k - 6. Let r be (1\/3)\/(1\/(-3)). Let s be 14\/(-4) - r\/(-2). What is the units digit of x(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1163.06 - 1197. Let h = k - -34. Which is bigger: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-108)\/(-63)*(-133)\/38?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - y + 2. Let d be v(0). Suppose d*p = -2*p + 12. Factor 0*w**4 + 2*w**2 - 2*w**5 + 5*w**3 - 2*w**4 - p*w**3.\nAnswer: -2*w**2*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + -18. Let c = b - -40. Suppose -23*p + 8*p = -750. Calculate the highest common factor of p and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 24*o**2 - 33*o + 27. List the prime factors of b(13).\nAnswer: 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 2 + 3 - ((14 - 18) + -2)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of m**4\/6 + m**3 - 39*m**2\/2 - 145*m - 13. Let x(g) = -g + 1. Determine -d(t) - 6*x(t).\nAnswer: -2*t**2 + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*o - 31*o - 4130 = 0. Does 59 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*y + d + 550 = 0, 5*y = 3*d + 684. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + -1*sqrt(76) - (1 + sqrt(76) + 1)).\nAnswer: -16*sqrt(19) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.7 - 1.916. Round g to 2 dps.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2912515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + ((6 - 7) + 6 - -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -47 (b) -5 (c) 84 (d) -0.03 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*u - 20. Suppose 0*s = u*s. Let r(q) = q**2 + 3*q**2 + s*q**2. Let j(k) = -2*k. Determine r(j(z)).\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -22421694 divided by -163662?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/4))**(1\/8))**(-9)*((y**(-2)\/y)\/(y**6*y*y))\/(y\/(y\/(y**(-4)\/y))*y**(-2\/5)) assuming y is positive.\nAnswer: y**(-941\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/19637 or 0?\nAnswer: 2\/19637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of n**2 - 16*n + 6. Let v be l(12). Let y be 1\/((-1)\/(-60)*3). What is the greatest common factor of y and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/79569 and -103\/36855?\nAnswer: 15515955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**5 + 19*j**4 - 49*j**3 + 53*j**2 - 16*j - 2. Let f(i) = -i**5 + i**4 - i**3 - i**2 - i + 1. Let h(g) = -2*f(g) - m(g). Factor h(z).\nAnswer: 3*z*(z - 3)*(z - 2)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 11532646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -0.3 (b) 0.3 (c) 0.047 (d) -0.04 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13745737?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000022054004416 to 7 dps.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/4)\/(j*j**(1\/3)))\/((j**(-4)*j)\/(j*j\/((j**(-1\/4)*j)\/j))) assuming j is positive.\nAnswer: j**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33976 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.62 rounded to 0 decimal places?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 10*a**3 + 12*a**2 - 2*a + 10. Let c(o) = -11*o**3 - 13*o**2 + 3*o - 11. Determine -5*c(j) - 6*k(j).\nAnswer: -5*j**3 - 7*j**2 - 3*j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 700.115 + -700. Let g = b + -0.015. Let w be (-2 - -3) + (-2)\/6. What is the nearest to w in 1\/4, g, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 266.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5872\/661 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2637098, 5274202, 7911306, 10548410, 13185514, 15822618?\nAnswer: 18459722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-47)\/9 + 386\/1737. Which is the closest to -4? (a) -3.6 (b) 1\/4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 362 = 4*l + 411, 37*l = 2*q - 212 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 30 + -884 + 846\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 3*l**2)*(-65 + 440 - 86)*(-28*l + 6 - 4 + 15*l) in the form z*l**3 + u + t*l + b*l**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*m*w**2 + 256*m + 3*w**2 + 15*w wrt w.\nAnswer: 4*m*w + 6*w + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p + 6. Let k(m) = -m. Let c(f) = 4*k(f) + r(f). Let z be c(13). Let u(t) = -t**2 - 10*t - 6. Calculate the remainder when 42 is divided by u(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.3891217 - 743413.\nAnswer: -743415.3891217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (11 + -4 + 3)\/(-2). Let s be (12\/30)\/((-7)\/g). What is the nearest to 0 in s, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 3*y - 0 + 2, -3*y = 12. Let k be (-13)\/(-7) - p\/35. Suppose -k*z + 2*x + 193 = z, -4*x - 325 = -5*z. What are the prime factors of z?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144\/45 + 48\/(-40) + 9430.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pmdu when four letters picked without replacement from {p: 8, u: 4, j: 2, m: 4, d: 1}.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 1551707*c**2 - 1551995*c**2.\nAnswer: -288*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -8*a**2. Let t(w) = -3*w**2 - 6*w + 6. Let s(m) = -6*m**2 - 13*m + 13. Let g(v) = -6*s(v) + 13*t(v). Determine u(g(x)).\nAnswer: -72*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -p**7\/14 + 2*p**6\/3 - 9*p**5\/5 - p**4\/6 + 13*p**3\/2 - 9*p**2 - 36*p. What is t in a(t) = 0?\nAnswer: -1, 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (73 + -91 - (-1 + 6)) + 0 + -1 + 2?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3919371.\nAnswer: 3, 331, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - -62. Let x = -65 + l. Which is bigger: 17 or x?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.677 - 2.077. Let m = 3 - 13\/4. Which is the third biggest value? (a) h (b) 0.3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dydufrdyyfyycduyc. What is prob of sequence drf?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-11) + 1378\/(-2002). Which is the biggest value? (a) 6\/5 (b) -2 (c) y (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fcff. What is prob of sequence ff?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 8*w + 397 = s, -5*w - 970 = 5*s. Let v = w + 410. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - r - 11. Let l be m(0). Let x(z) = -5*z + 3*z**2 + 4*z - 2 + 8*z**2 + z**3 + 15. What are the prime factors of x(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*o = -164*o - 6. Let k = 1 - 2. Let s be 0 + -3 - (k - o). Sort 2, s, 0 in decreasing order.\nAnswer: 2, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, o: 7}. What is prob of picking 2 o?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279748.\nAnswer: 2, 7, 97, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - v - 750 = 0, 5*v + 1506 = -33*y + 35*y. List the prime factors of y.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 308958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -5 + 9 + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*f**2 - 18*f - 5*f + 50*f - 11*f - 54*f**2 - 8*f + 34*f**2.\nAnswer: -f**2 + 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a1 - b230?\nAnswer: -ad6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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: What is the fourth root of 77965371 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b\/b**(4\/9)*b**(-12\/11)*b*b assuming b is positive.\nAnswer: b**(244\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -l - 153. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-20)\/6)\/((-22)\/6 + 3). What is the second smallest value in 0.4, d, 0.07?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m + 0*m + 6*m)*(-3*m**4 + 4*m**4 + m**4) + 382*m**2 - 2*m**5 - 380*m**2 + 3*m**5.\nAnswer: 3*m**5 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3576\/5*q + 716 - 4\/5*q**2.\nAnswer: -4*(q - 1)*(q + 895)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 53317.32g?\nAnswer: 0.05331732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -3. Suppose 6*h + 3*t - 54 = i*h, 4*h = 3*t + 51. Calculate the remainder when 29 is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -1579, -1, -3, -15.\nAnswer: -1579, -15, -3, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.17 - 0.28. Let t = -1.09 + s. Let u = t - -0.7. Which is the nearest to -1? (a) -0.11 (b) u (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*i + 1442*i - 14528 = -114456 - 23208 for i.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = j + 75, 2*b = 4*b + j + 27. Let v = 38 + b. Calculate the remainder when v is divided by 1\/((-3)\/72*-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x. Let m = 3 - 9. Let z(q) = -q**3 - 6*q**2 - q - 4. Let d be z(m). Let i(b) = 2*b**2 + d*b**2 - 6*b**2 + 3*b**2. Calculate i(c(f)).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105917513 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r**2. Let t(h) = 78*h - 1. Determine t(x(p)).\nAnswer: -234*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71029 = -321*s + 30247 + 23914. Calculate the highest common factor of s and 285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49965 divided by 482.\nAnswer: -49965\/482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 2.06. Let q = 0.46 + z. Which is the third biggest value? (a) -0.1 (b) q (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 140371 and 11396?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1290621 is divided by 86?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 463 divide 5075406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by (-40)\/16*(1 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -4*z**3\/3 - 1120*z**2\/3 - 29756*z - 488136 = 0.\nAnswer: -129, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**3 - 1962*t**2 + 9822*t - 60. Calculate r(5).\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of b**6\/60 - b**3\/3 + b**2 - 3. Let d(l) be the second derivative of y(l). Differentiate d(h) with respect to h.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**3 + j - 1. Suppose -4*x = -8*x, 0 = -4*y + x + 8. Calculate o(y).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.7 - 10.7. Which is the closest to -8? (a) -2\/3 (b) w (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3 - 9760165*a**2 + 19520345*a - 9760175.\nAnswer: -5*(a - 1)**2*(a + 1952035)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/100928 and 63\/44.\nAnswer: 1110208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 157893, 21 in increasing order.\nAnswer: -10, 21, 157893","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**3 + 333810*w**2 + 2336592*w + 3337960 = 0.\nAnswer: -166898, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 + (-817)\/(-19) + -5.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**3 - f**2 + f + 2. Let m be k(-1). Let x be 3\/((-3)\/6 + m). Solve b = d - 1 + x, -5*d - 15 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/3458 and 111\/266.\nAnswer: 3458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -122.4 - -19.4. Which is smaller: t or -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4\/3 + 641*m**3\/3 + 3172*m**2\/3 - 1712*m - 10176.\nAnswer: (m - 3)*(m + 4)**2*(m + 636)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/114? (a) -0.1 (b) -0.2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, b: 7}. What is prob of picking 1 b and 2 k?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11224 (base 5) to base 16.\nAnswer: 32e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 9:19 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 5:35 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -974, -4, 3, -3\/5 in increasing order.\nAnswer: -974, -4, -3\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10235322*t**3 - 1417896*t**2 - 3*t?\nAnswer: 61411932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -37 + 14 + 50904\/14 is divided by 145?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15920173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + -4. Let s = f - -18.4. What is s rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 39 = 3*x, -18*x + 79 = -7*t + 19*x - 34*x for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 1 = -5*v, 2*v - 7 - 3 = -3*s for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23181697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 269*r**6 + 84570*r**4 - 68073515*r**2 wrt r?\nAnswer: 32280*r**3 + 2029680*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -538*-0.011.\nAnswer: 5.918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - 55. Let g be (-10)\/(-6)*27\/l. Is -1 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7065\/12089*33\/(-9)?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 1.02. Let o = 3.02 + k. Let m = 2 - 2.2. What is the nearest to -1 in -1\/9, m, o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhe when three letters picked without replacement from heh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 53682 to the power of 1\/2, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v + 11*v**3 - 21*v**3 - 2 + 11*v**3)*(2*v + 3*v - 4*v) to k*v**2 + t + o*v**3 + l*v**4 + r*v and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 4. Let k(r) = -r**2 - 5*r + 3. Let d(h) = -2*h. Let p(a) = -5*d(a) + 2*k(a). Let y(f) = 2*p(f) - 3*z(f). Let j(q) = 86*q. Determine y(j(u)).\nAnswer: -7396*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 385359367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-367599)\/(-136) - (-1)\/4. Let z = 21137\/8 - d. Let t = z + 16385\/238. Calculate the common denominator of t and 43\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of 1\/12*d**5 + 75\/2*d**3 + 115\/12*d**4 + 0*d + 0 - 25*d**2. Factor c(y).\nAnswer: 5*(y + 1)*(y + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -31725, -126944, -285643, -507816, -793457, -1142560?\n\"Answer: z**3 - 31746*z**2 + 12*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 336*m**5 + 652*m**3*q + 518156*m*q wrt m.\nAnswer: 6720*m**3 + 3912*m*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -x**7\/840 - x**4\/6 - x**2\/2 - 2*x - 53. Let q(b) be the third derivative of l(b). Let c(o) = 10*o. What is c(q(r))?\nAnswer: -30*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 2*v. Let h be q(3). Let j = 1\/8 + 51\/40. Let r = j - 41\/40. Which is the second smallest value? (a) -3 (b) r (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/5038280 and 23\/24.\nAnswer: 15114840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 10 (b) -6 (c) -11 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 5. Let z be j(-3). Suppose -2*t - 10 = -n, 3*t - 10 = -5*n + 5*t. Which is greater: n or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**2 + 199*i + 1347. Calculate s(-8).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5*m - 55 = -2*x, 0 = 2*m + 10. Suppose 0 = -2*n - 5*i - 10, -3*i - i - 36 = -4*n. Calculate the remainder when 96\/(n + -2) + -2 is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*p**4 - 48*p**4 - 3*p**3 - 3*p - 41*p**4 + 142*p**4 as n*p**4 + g*p**3 + f*p + q + r*p**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -193, -441, -791?\nAnswer: -1243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + -17. Let t be 14\/(-6) + 2 - (-5136)\/y. Let q = -59 - t. Is q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76534039259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -5*l + 8, 5*l - 32 = 5*x + 2*l. Let u be (6\/x)\/((-3)\/(-120)). Let m be (2\/(-5))\/(3\/u). What is the greatest common factor of m and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 440.1 + -493. Let q = t + 4.4. Round q to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 0*i + 10. Suppose -4*r - 4*w + 112 = 0, r + 28 = 2*r + i*w. What is the common denominator of -4\/9 and 2\/(r\/(-11)) - 3\/6?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 165064018 and -3.\nAnswer: -495192054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1926605?\nAnswer: 5, 385321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**3 - 8*v**2 + 10*v - 8. Let n(r) = 2*r**3 - 5*r**2 + 7*r - 5. Suppose -2*y + m + 6 = 2, 0 = 5*m - 30. What is y*i(z) - 8*n(z)?\nAnswer: -z**3 - 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 4) to base 5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-22) + -9*(-28)\/66. Suppose 4*d + y*j - j - 717 = 0, 15 = -3*j. Is d a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 383 = 3*m + 154, 2*m = 2*j + 146. Calculate the lowest common multiple of m and 153.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14288670 by 2857734.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/27*9\/18.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17736 is divided by 29?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 70 = -5*g, 10*g - 5*k = 5*g + 100. Solve 10*s = -67 + g for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8096 is divided by 1613?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 14826, 45 in decreasing order.\nAnswer: 14826, 45, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13 + -16278?\nAnswer: -1628b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2021 and 1433377840.9.\nAnswer: 1433375819.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 12. Suppose -3*o + 21 = 4*v, -z*v + o + o = 0. Solve -9 = 4*u + v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 8:33 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**4 - 2890*p**3 - 411785*p**2 + 1681980*p - 1693620.\nAnswer: -5*(p - 2)**2*(p + 291)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 168197\/15554 + -1144\/101. What is the common denominator of (-6)\/(-16) + 1084\/224 and z?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5*y = -130822980, 0 = 3*s - 4*y - 62896535 - 15597256. Let f = -13675619 + s. Suppose -f = 2*u - 768974. Round u to the nearest 100000.\nAnswer: -5900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19065290861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3263 is divided by 3154?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 392463972.\nAnswer: 2, 3, 17, 41, 15641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 22\/(2\/(16 - 4)). Let y = 1825\/4 + -464. Calculate the common denominator of -4 - n\/(-8) - -3 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, m: 2, i: 6, e: 4, x: 2, k: 2}. What is prob of picking 2 e and 2 i?\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4*(-5)\/10.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230 - 274 = 72*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/113672 and -91\/1998004.\nAnswer: 51948104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 4*f**2 - 4*f - 6. Let v be t(5). Let k be 2 + ((-2)\/v)\/(-1). Let y be (-1 - k)*-5699997 - -3. Round y to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, f: 1, q: 3, w: 1, z: 3}. What is prob of sequence jzzj?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 224 - 260. Let d be (2 - w\/(-15))\/(1\/(-10)). Solve -5*q = h - d*h - 9, -4*q = -2*h - 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3739678 is divided by 70.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 171610862 to the nearest integer?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {h: 9, e: 10}?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 5:24 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125 - 30124*x**3 - 129 + 30126*x**3.\nAnswer: 2*x**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/10 - (-26)\/(-10). What is the tens digit of a\/6 - 111\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22371518 to the nearest integer?\nAnswer: 4730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**2. Let x(d) = 217*d**2 + 14. What is x(i(n))?\nAnswer: 868*n**4 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 3*o**2\/7 + 144*o\/7 + 276\/7 = 0?\nAnswer: -46, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -101693*z**5 - 58*z**3 - 20649135*z**2.\nAnswer: -6101580*z**2 - 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-16 - 6739\/(-299))?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/5*(152 - 112). Suppose 8*j + 223 = 2*l + 3*j, 5*l + 3*j - 480 = 0. Let v = l - y. Calculate the remainder when 95 is divided by v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 33837, 33836, 33835, 33834?\n\"Answer: -l + 33838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-26)\/(-261) - 14\/42. Let z = -1\/87 - k. Let r = 4 + 1. Which is the third biggest value? (a) z (b) r (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-three thirds of a decade?\nAnswer: 1720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/42 + ((-370)\/(-70) - -9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 5*l = -22, 2*j - 2*l - 38 = -48 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 254 = 239. Suppose -21 = h*n - 33. Solve 0 = -2*d - n - 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -181799 + 90903 + 7346*p + 90896 - 27803*p to the form m + b*p and give b.\nAnswer: -20457","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-16))\/((-12)\/(-144)*28\/14)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35464 divided by 3224?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-10) - -3*(-15)\/(-50)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 915 = -0*h. Suppose 6*j + 4*v = j + 570, -3*j = -5*v - h. Let k = j + -112. Let y(a) = a. Let n(u) = -u**2 + 1. What is k*n(q) - y(q)?\nAnswer: 2*q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 10*j - 8. Let t = -155 + 164. Let u(g) = -4*g**2 - 39*g - 30. Let c(d) = t*n(d) - 2*u(d). Give c(-12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -34\/1351 in 3\/7, -2, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, -7360, -2, 2 in decreasing order.\nAnswer: 29, 2, -2, -7360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -9, -2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**3 - 2*a**2 + 5*a - 3*a**3 - 5*a**2 - 8. Let f be i(-8). What is the greatest common factor of 48 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*p**4 - 109*p**2 + 217*p**2 + 2*p**4 - 2*p**3 - 3*p**4 - 105*p**2 - 2*p in the form t*p**2 + l*p**4 + s*p + o*p**3 + i and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17402 and 87010?\nAnswer: 87010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(19) - (sqrt(19)*-1 + sqrt(19))))**2 + sqrt(76)\/sqrt(64).\nAnswer: 25*sqrt(19)\/4 + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 38\/(-12) + -29 + 32. Sort u, 16, -0.3 in increasing order.\nAnswer: -0.3, u, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1269909?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) - sqrt(110)*-1*-4)\/(sqrt(10) + 1*(sqrt(10) + sqrt(90) + sqrt(10))).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a95 (base 13) to base 8.\nAnswer: 7651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*r**3 + 222*r**3 - 25*r**3 + 303*r**3.\nAnswer: 439*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -6*s**2 - 5*s + 9. Let h(o) = o**3 - o**2 - o + 1. Let i(l) = 2*h(l) + v(l). What is the tens digit of i(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*w**3 - 3*w - 2*w - 189*w**3.\nAnswer: -8*w**3 - 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 266 and 3598?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n - 7. Let r be f(-10). Suppose r*j = -0*j - 117. Let t = -25 - j. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + 0*s**2 + 0*s**2)*(3*s**2 - s**2 - s**2) - 8*s**4 + 8*s**2 - 8*s**2.\nAnswer: -10*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11989, -95871, -323537, -766873, -1497765, -2588099?\n\"Answer: -11981*d**3 - 6*d**2 + 3*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47.33 + 47. Let u = 27 - 27.23. Let q = k - u. What is the third biggest value in -1, 2, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*n - 2*t + 4*t, n = -t + 16. What is the remainder when 31 is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -7*a - 4*p + 28, 2*a + 4*p - 24 = 0. Suppose a*l + 144 = 28. What is the third smallest value in -4, l, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13742, -14121, -14500, -14879?\nAnswer: -15258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (9 - (-1 - -4 - (2 + -2))) + -52.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 4 + 16 + 3*d**3 + 6.\nAnswer: 3*d**3 + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n - 11 + 11 - 5*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(931))**2 + -4.\nAnswer: 14*sqrt(19) + 928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -1, -2, -21, 6 in descending order.\nAnswer: 6, -1, -2, -17, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 3*w**2 - 4*w. Let l be c(-3). Let n = l + -10. Solve 6 - n = d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42.09 - 0.09. Let d = k + -39. Let h = -3 + 0. What is the closest to -2\/7 in h, d, 22?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 575 divided by -115.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 23101 (base 4) in base 7?\nAnswer: 2050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 20 = 5*i + 14*d - 15*d, 7*d = 7 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1289.\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 64 = -7*t - 4*h - h - 0*h + 24, -4*h + 25 = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 1. Let l(w) = 7*w. Let x be (0 - -8)*(21\/(-28))\/3. What is x*t(d) - l(d)?\nAnswer: -5*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 5*v - 101, -4*f - 72 - 52 = -4*v. Let m = 28 + f. What is the nearest to m in 0.2, -0.3, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*f + 132 = 121, -3*s = -5*f - 30. Let p(b) = 9*b + 2. Let u(r) = 7 - 9 - 13*r - 1. Give s*u(l) + 7*p(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -780\/7, 0.4 in increasing order.\nAnswer: -780\/7, -5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -1083*o - 2050. Let q(i) = -5410*i - 10250. Let t(m) = 31*p(m) - 6*q(m). Differentiate t(f) wrt f.\nAnswer: -1113","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3057 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 148649995 at least as big as 148649992?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -732 - -1712. Let h(l) = -k*l - l**3 - 8 - 4*l**2 + 979*l + 3. Determine h(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7066, 7097, 7168, 7297, 7502?\nAnswer: 7801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -111096*u*z**4 - u*z**2 + 2*u + 28*z**6 - 92*z**2 - 55*z - 47 wrt z.\nAnswer: -2666304*u*z + 3360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-52)\/(-10) + (-7)\/35. Suppose -10 = m*p - 40. Suppose -1 + p = 5*w. What is the smallest common multiple of 11 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -62806 + 1332.9.\nAnswer: -61473.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**2 - 100*f + 49*f - f**2 + 51*f.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37.8 + 38. Which is the nearest to 0? (a) x (b) -0.02 (c) -2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -2*q + 0*q + 0*q + q**2 + 6*q**4 + 0*q**4 - 4*q**3. Factor w(k).\nAnswer: 2*(6*k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(156) + sqrt(156)*-3*5 - sqrt(156) - sqrt(156)) + sqrt(156))*-5)\/((sqrt(48) - (-2*sqrt(336))\/sqrt(7))\/(1*sqrt(576))).\nAnswer: 1200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4213 - 4212.6. Which is the closest to 0.1041? (a) w (b) 3 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 7:28 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4155129 divided by -41971\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -5*v**3 + 6*v**3 - 4*v**4 + 3*v**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**3 + 20*m**2 + 3*m + 14. What are the prime factors of t(5)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 4 + 2)*(1 - 1 + 2) + 0 + 4 - 3)*(0*o - o + 3*o)*(-2 - 1 + 5)*(-45 + 45 - 16*o**2).\nAnswer: -192*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 45*l - 15. Let u(a) = 15*a - 6. Give -4*p(b) + 11*u(b).\nAnswer: -15*b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -1\/2 (b) 0.1 (c) 0.23 (d) -30 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 483.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4*t**2 - 44*t**3 + 14*t**3 + 20*t**3 + t**4 - t + 2 + 8*t**3 in the form u*t**4 + m*t**2 + k*t + b + j*t**3 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 53813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.06 + 4. Let h = -5.9 + 5. Let o = -0.4 - h. What is the smallest value in c, -0.2, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -6 + 2. Let v be (-1 + d)\/1*4. Solve 3*o + 2 = -2*y, 2 = -v*o - 4*y + 2*y for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((2 - 3) + -4)\/(-1). Let c(z) = -z**3 + 7*z**2 - z - 6. Let n(h) = h**3 - 6*h**2 + 5. Let w(y) = 2*c(y) + 3*n(y). List the prime factors of w(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 11, w: 1, j: 4, x: 1}. What is prob of sequence fw?\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9454\/7987*(-735)\/(-15)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 29*v + 164, -4*n = v - 18 + 4. Let m(q) = 5*q - 2. Let w(x) = -11*x + 4. Let s be (-6)\/(-4)*10\/3. Determine n*w(b) + s*m(b).\nAnswer: 3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.0141 * 1.3319\nAnswer: 0.01877979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2139294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 4, 4428, -2, 2 in ascending order.\nAnswer: -5, -3, -2, 2, 4, 4428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1615094, -3230186, -4845278, -6460370?\n\"Answer: -1615092*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 10 = 2*s, -5 - 30 = -5*v + 3*s. Suppose -v*m - m + 35 = 0. Suppose -3*y + m*q - 3*q = -916, -y = -2*q - 308. Round y to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11535*j**3 - 89*j - 79*j + 1682*j**2 - 11467*j**3 - 262*j**2.\nAnswer: 4*j*(j + 21)*(17*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 129081387?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -5 (b) 2 (c) -6 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 215*h**2 - 568*h**2 - 1021*h**2 as v*h + k + f*h**2 and give f.\nAnswer: -1374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 129*s - 25. Let c(w) = -32*w + 7. Let a(u) = 9*c(u) + 2*m(u). Does 41 divide a(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/216)\/((-10)\/12)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - u = 75. Let m = -13 - u. Let b be (5\/3)\/((-14)\/(-42)). Solve m = -b*c - 18, -5*v = -3*c + 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010001010110110 - 10100?\nAnswer: -1010001011001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: 90\/16425*5*-1\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 712.2308 - 7548.2048. Let t = 6807 + r. Let n = t - -29. Round n to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*2\/(-20)*(-60)\/15\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*z - 60 = -28*z. Let x(c) = 7*c**2 + 25*c - 8. Let s be x(-4). Suppose z = 5*d, 3*p + d + 27 = s*p. Calculate the remainder when p is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -6*s. Let o(q) = -2*q - 45. Let w be o(-27). Let d(t) = t**2 + 2*t. Let k be d(5). Let a(m) = 9*m + w*m - k*m + 18*m. What is z(a(l))?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 761.04675 seconds to hours.\nAnswer: 0.211401875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 322, 3152, 10840, 25816, 50510?\nAnswer: 87352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13912*l - 956*l - 906920 = 0 for l.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -15 - 40. Let m(b) = -a + 9 + 22 - 107*b. Is m(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22\/(-6) + -3 + 7. Let h = -0.07 - 0.01. Is f bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -353054.\nAnswer: -176527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -26*v**2 + v + 1. What is u(-1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p**2 - 15*p**2 + 9*p**2 + 0*p**2 - p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-16)\/(-2) - 4) + -2. Find q, given that 5*q**2 + 3 - 9*q**u + q**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 544145 is divided by 168.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 + 2*z**3 - 5*z**3)*(0*z + 2*z**2 + 0*z) + (-4*z**2 + 0*z**2 + 2*z**2)*(-z - 10*z**3 + z).\nAnswer: 16*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from chhhqhmdcmccmcdhdg. Give prob of sequence cd.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 459 = 90*c - 141*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 779.72 + -794. Let p = 0.28 + z. Let k = p - -19. Which is the biggest value? (a) -0.1 (b) 1\/4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4919922810?\nAnswer: 2, 3, 5, 11, 4969619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 100 = -2*x. Let t = -22 + x. Let p = 312 - 307. What is the remainder when p is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.09 - -0.01. Let u = 0.25 + 2.75. What is the nearest to j in u, -3, -8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -80*f + 59 - 1179 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-2\/13)*c\/(c*c*(c*c**(2\/17)*c)\/c))**(-1\/6))**(-14\/13) assuming c is positive.\nAnswer: c**(-497\/2873)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-6)*3790*435\/58. Round f to the nearest one thousand.\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 7*d - 5. Let z be r(8). Suppose 4*y + p = 144, 0*y + y + 2*p - 36 = 0. Let i = 48 - y. Solve -h + 6 = 3*c, z*c + 3*h + i = 4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 60, 123, 186?\n\"Answer: 63*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6334 is divided by 330?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -6*p + 4*p. Let a be p - 56\/(-4) - 3\/1. Calculate the highest common divisor of a and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54 - 50. Solve 2*a = -2*s - 12, -z*a - 15 = -4*s - s for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12975 - -14985. Does 24 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 6:39 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6100 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 34*q**2 - 6*q - 4. Let h(f) = f**3 - f**2 - f + 1. Let i(p) = 3*h(p) + u(p). Find the second derivative of i(a) wrt a.\nAnswer: 12*a + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54172 is divided by 197?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22760 + 8*n - 22760 - 2*n**2 - 6*n**2 - 5*n.\nAnswer: -8*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -125 + 212. What is the remainder when a is divided by 57?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55*j + 1617 - 1617)*(j**3 + 5*j**3 - 5*j**3)*(2 - 3 + 3 + (-1 - 1 + 1)*(-1 - 2 + 1) - 3 + 4 - 3 + 1 + 2 - 1 + 2 - 1 + 1 + 3 - 5 + 0).\nAnswer: -220*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32 + 1)\/((6\/(-45))\/((-48)\/360))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21538 = -365*z - 1101*z + 92109 - 25687 for z.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -48.8258913 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 816829.4 micrograms in milligrams?\nAnswer: 816.8294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 703262117 and 227?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 691 - 685. Let n(k) = k**3 + 5*k**2 - 18*k + 52. Let m be n(p). What is the highest common factor of 60 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**3 - 42*f**2 + 198*f - 270 = 0.\nAnswer: 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 58*r + 6 - 3.\nAnswer: -58*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 891\/(99\/3) + 2.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 12, -310, -1, 5, -10.\nAnswer: -310, -10, -1, 5, 12, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*a + 2*a + 28*a)*(4*a - 3*a - 12*a) + (3*a - 2*a + 0*a)*(1 - 1 - 3*a).\nAnswer: -520*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2995*t**4 - 227650*t**3 + 445540*t**2 - 4440*t = 0.\nAnswer: 0, 6\/599, 2, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (-35 + -1 + 4\/2). Solve -5*w + g = 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/9)*k*k**1 assuming k is positive.\nAnswer: k**(20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7283714 to three decimal places.\nAnswer: -0.728","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from illclildddedjldicc. Give prob of picking 1 j, 1 e, and 1 d.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 22*y + 67. Is k(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*t + 5*a - 37, 0 = a + 5. Let d(w) = -2*w + 10. Let i be d(t). What is i rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4\/3)\/(r\/(r*r*r*r*r\/r**(2\/13))))\/(r\/(r**(-9)*r)*r\/(r\/r**(-3\/17)*r)) assuming r is positive.\nAnswer: r**(-3521\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16194*m - 31886*m - 19632*m + 23663*m)*(-4*m**2 + m**2 + 2*m**2).\nAnswer: 44049*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11680439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2725463?\nAnswer: 13, 16127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 + -1.6. Let h = 19\/108 + -1\/108. Which is the second smallest value? (a) p (b) 1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.847 - -8.147. Which is the second smallest value? (a) 5\/26 (b) 0.5 (c) q (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3715.5 - -3084. Let s = -631 - h. Which is the third smallest value? (a) 3\/5 (b) 7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 705 and 966461?\nAnswer: 14496915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 54017 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*j - 149*j = 2*q + 14, 0 = -2*q - 123*j - 2210 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 20700 (c) -4713 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4 + sqrt(2299) + sqrt(2299) + 3 + 0)**2 + ((1*(-1 + sqrt(2299)))**2 - (4 + (sqrt(2299) - (sqrt(2299) - sqrt(2299)*2)) + sqrt(2299))**2) + -4.\nAnswer: -9199 - 462*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -327 + 731 - 342 + u**3.\nAnswer: u**3 + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/12 - (-2)\/4. Let g = -896.14 + 896.24. Which is the nearest to g? (a) -1 (b) v (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 8472048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.5 - -14.5. Let b = -13.00000019 + d. Round b to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4*b - 2*c + 7, 0 = 2*b + 5*c + 13. Solve -2*v + 9 - b = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -4, -0.1, 5 in decreasing order.\nAnswer: 5, -0.1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 801034 is divided by 447?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 2 + ((-12)\/(-2))\/2. Suppose -5*z - 3*w = -87, 34 = 2*z + 2*w - f. What is the third derivative of -12*c**6 + z*c**6 - 21*c**6 - 4*c**2 wrt c?\nAnswer: -2160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63*5\/(490\/(-14))*(-4)\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 6*y. Let p(f) be the first derivative of -4*f**3\/3 + 8. What is i(p(t))?\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1278658 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 232*i**3 - 34*i - 34. Let k(q) = -302*q - 2046. Let y be k(-7). Let x(t) = 21*t**3 - 3*t - 3. What is y*x(n) - 6*b(n)?\nAnswer: 36*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3017, 2703, 2389, 2075, 1761, 1447?\n\"Answer: -314*v + 3331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a decade in months?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3235648?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22.8 + -0.6.\nAnswer: -23.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 419, 653, 1039, 1577?\nAnswer: 2267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1433571 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -98+0.88\nAnswer: -97.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -10578*h. Let t(r) = 20*r + 133. Determine t(w(u)).\nAnswer: -211560*u + 133","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9731185?\nAnswer: 5, 23, 37, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 918*s + 1388*s + 45*s + 11611*s**2 - 288*s wrt s?\nAnswer: 23222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3394257*x**2. Let l(q) = -12*q. What is l(w(u))?\nAnswer: 40731084*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 6*z**2 - 10*z - 3. What is c(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 176\/(-45) + 58\/435 - 12\/54.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10082, 16788, 23528, 30320, 37182, 44132, 51188, 58368?\nAnswer: 65690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 210612 divided by 6\nAnswer: 35102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 + -31.59. What is p rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4551 + 4462.84. Round n to the nearest integer.\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 5, -2, 1\/4, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i + 5. Let v(u) = u - 2. Let s(f) = 5*v(f) - z(f). Give s(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5*x. Let t(u) be the third derivative of u**5\/30 + u**3\/3 + 15*u**2. Let v(d) = -4*d**2 - 5. Let c(i) = -5*t(i) - 2*v(i). Calculate c(q(z)).\nAnswer: -50*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2486*w - 1 + 1 + 2487*w. Let c(r) = r + 0 + 0 + 3*r. Give v(c(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -15459 (base 10) to base 7\nAnswer: -63033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1416217, -2832216, -4248211, -5664202, -7080189, -8496172, -9912151?\n\"Answer: 2*o**2 - 1416005*o - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 510 is divided by 71?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b = -9*b + 4*c + 20, 4 = b - 2*c for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1718431 by 330.\nAnswer: 156221\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5*w**2 - 6*w + 4. Let h be y(6). Let b = -134 + h. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 863733 or 863604?\nAnswer: 863604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -87, 16, 125.\nAnswer: -87, 1, 16, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 55 (b) -33 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 16*n - 11 + 24.\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*u - 18051 = -17215 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and (-8)\/(-1) - (5 + -1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a - 12*a - 4528 = 0. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 a, and 1 l when three letters picked without replacement from ycyaacqqllccqqqyy.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 + 0.7. Let r = 5.27 + -0.27. Which is the third smallest value? (a) r (b) x (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2539253 * -0.068.\nAnswer: -172669.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1224 and 1360.\nAnswer: 12240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1464 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1073 or -546?\nAnswer: -1073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -988, -6 in decreasing order.\nAnswer: 15, -6, -988","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59 + -3. Let f = 56.0443 - b. Round f to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 177190755 to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-13)*60\/(-30).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 4 = 3*r - f, -4*f - 28 = -4*r. Let s be -3 + r - (6 + (-6)\/3). Sort -1, s, -5 in descending order.\nAnswer: -1, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 35*b**2 + 63*b + 113. Let l be t(33). Solve 9*h = l*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1750)\/(-49))\/(-25)*644. Which is smaller: 3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 2*j - 74, -5*j + 3*i + 0*i + 185 = 0. Calculate the remainder when j is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*-5*1\/10*-3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 300 = -0*p. Let w = p + 92. Suppose w = 2*m - 10. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174718241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2856, 2858, 2860, 2862, 2864, 2866?\n\"Answer: 2*h + 2854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.849 - -1?\nAnswer: -19.849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 17*w + 15. Calculate l(-17).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 2*y + 1. Let p(w) = -6*w - 2. Suppose 11*m - 8*m - 6 = 0. Suppose -3*r + m*f + 1 = 0, 4*r = -0*r - 3*f - 10. Let a be p(r). Determine u(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-12)*8 - -20. Solve h = -6*b + 2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4*f**2 - 29 - 20*f**2 - 23*f**2 + 13*f**2.\nAnswer: -34*f**2 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8415 and 50527026?\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 4*a + 39. Suppose -m = k - 6, k - a - 9 = -5*m. Let g be k\/(-1) + (-56)\/(-30). Sort -2\/17, 0, g in decreasing order.\nAnswer: 0, -2\/17, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-133)\/(-5700)*40)\/((-13)\/(156\/(-8)))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 31 = -3*l, 14837784*l - 14837782*l - 82 = 8*i for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1605782902.\nAnswer: 2, 802891451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -32*s**3 - 2*s**2 - 3*s + 3. Let w = 10895 - 10898. Let f(l) = -64*l**3 - 3*l**2 - 5*l + 5. What is w*f(r) + 5*a(r)?\nAnswer: 32*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by -44541984.\nAnswer: -5\/11135496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1224\/2295)\/(6\/(-225)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3716.5 - 3716. What is the biggest value in 0.06, f, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a\/(a*a**(-3\/2)))\/a)*a*a**(2\/7))\/(a**(-2)*a\/(a*a**(-4)))*(a**(1\/3)\/(a\/(a*a**4*a)))\/(a*a**(2\/23)*a**0*a) assuming a is positive.\nAnswer: a**(2929\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -15. Suppose o = -2*a + 4*a. Suppose 6*m - m - 15 = -5*t, -a*m - t = -9. Put m, 1, 0 in decreasing order.\nAnswer: m, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - k - 2*k = 213, 4*k = -g + 123. Let p = 162 - g. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a - 6. Let l = 71 - 46. Suppose 5*b + 5*f + l = 0, 2*b + 11 = -2*b + 5*f. What is i(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2210002320 - 211?\nAnswer: -2210003131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 7*w - 25. Find the third derivative of 11*h**2 + 254*h**w - 242*h**5 + 22*h**2 wrt h.\nAnswer: 720*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26157, 52318, 78481, 104646, 130813, 156982?\nAnswer: 183153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -41838.66 and -0.53668.\nAnswer: -41839.19668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000012208 to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.34239301 - -1.\nAnswer: 7.34239301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2925 - -2922. Sort h, 0, -97.\nAnswer: -97, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -44 and -3536.\nAnswer: -3580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -154295 (base 10) to base 13\nAnswer: -552cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -17219 - 11\nAnswer: -17230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of s**5\/30 + 7*s**3\/3 + 4. Let v(f) be the third derivative of c(f). Let x(g) = -g + 4*g - g. Calculate x(v(i)).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -235509 at most -230?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11199*r + 11173*r = 22324*r - 288 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2539, -18090, -44009, -80296?\n\"Answer: -5184*a**2 + a + 2644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2094?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54579.\nAnswer: 3, 7, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence glcm when four letters picked without replacement from cgcmmmcmlc?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3856\/(-60))\/(4\/6). Suppose -4*k + 4*v = -400, -k + 5*v = -69 - 43. Let g = a + k. Which is greater: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -13. Suppose -2*z + 22 = -2*h, -3*z = h - 7*z + 26. Let t = h + m. Solve t = o + o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 46, 8, -76.\nAnswer: -76, -3, 0, 8, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4*d - 16 = 0, 16 = -4*p - 71*d + 66*d. Which is smaller: p or -74\/19?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 168 + 2\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**2 - 872*f - 11816 = 0.\nAnswer: -422, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9 + 388\/(-44) - 84\/(-22). Suppose 2*v + 6 = y + k, -v = -2. Suppose -320 = -5*i - 80. What is the least common multiple of y and i?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 o when two letters picked without replacement from hhoohohhuoouhhhhho?\nAnswer: 20\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 17*k**2 - 3*k + 3. Let v be z(1). Let b(s) = -10*s**2 - 16 - 8*s**2 + s + v*s**2. Give b(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/12)\/(15\/90). Suppose o = -8*g + 17. What is the tens digit of (-2190)\/(-25) + -5 - g\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214816114.\nAnswer: 2, 17, 1613, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4*d - 99. Determine a(23).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15904 is divided by 695.\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/4, -27, 2\/19, -0.1, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -12 - (8 - (1 + -2 - -14)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 38 + 40. Suppose -3*p - 173 = -5*g, -5*p = -2*g + g + d. What are the prime factors of g?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6485763.\nAnswer: 3, 29, 127, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*i = -11241, 7*i = 3*l + 5*i - 16834. Let a(o) = o**3 + o**2 + 2*o. Let c be a(0). Suppose -d - 7*d + l = c. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 133 - -1231210?\nAnswer: 1231343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 6 = -6. Suppose -192 = -4*p + c + 4*c, 3*c - 12 = y. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 0. Suppose -3*x - 3*k + 105 = 0, 2*k - 155 = -a*x + k. Suppose -y - y + x = 0. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-13)\/(211\/23843*(-2)\/94).\nAnswer: 13, 47, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 6:59 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 v when two letters picked without replacement from {h: 1, a: 1, c: 3, v: 4, y: 4, n: 1}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 271*l**2 + 225*l - 227. What is i(1)?\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 474 a factor of 9832987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -238*i + 8. Let k be l(-4). Let n = k - 8650\/9. What is the common denominator of -87\/10 and n?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + n + 2622, -k = 2*n - n + 1310. Let a = k - -13217\/10. Calculate the common denominator of -95\/14 and a.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*-1*3\/((-66)\/11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 13 (b) 2\/17 (c) 0.4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4020585 millennia in years?\nAnswer: 402.0585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7}. What is prob of picking 4 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/8, 0.5, -43.62, 2\/5, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 + 13 + -10 + 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -457*j + 5. Let v(c) = -229*c + 2. Give -4*q(g) + 9*v(g).\nAnswer: -233*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ayx when three letters picked without replacement from yyxxaaayaxyyyy?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -6248305 less than -43738141\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -12 (b) -5\/4 (c) 2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1924, 15492, 52312, 124006, 242196?\n\"Answer: 1937*z**3 + 4*z**2 - 3*z - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -168, -375, -682, -1101?\nAnswer: -1644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14983?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 20*u + 9. Suppose -68*s - 85*s - 28 = -167*s. Determine n(s).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 9*y - 24 = -13*y, 5*y = 25 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 120 - -128?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.08, -5, 0, -5\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from hhhmhrvvmr?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-1)*((-27)\/((-405)\/(-670)))\/(6\/(-3)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/21 + (227 - 0)\/((-289)\/51 + 8).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 34\/5 (c) 2\/5 (d) -0.52 (e) 0.1 (f) -2 (g) 0.13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in -14\/3, -0.3, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - -7) + -11 + -9 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j + 19*j - 7 = 0 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -144*i - 269. What are the prime factors of q(-12)?\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39124 is divided by 2299.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 81506111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -243 + 252. Let h be 3 + (5\/10)\/(2\/(-4)). Solve h*o + l = -1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**3 - 5*d**2 + d. Let t be j(-3). Let r(m) be the first derivative of 3*m**2\/2 - 3*m - 1. Does 15 divide r(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -52 (b) -2\/9 (c) -27 (d) -3\/7 (e) -11\/3 (f) 0.5 (g) 30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2277*c - 44709. What is r(-20)?\nAnswer: 831","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-7) + (-10)\/14)\/(-12). Let v(g) = -g**2 - 4*g - 3. Let z be v(-3). Which is greater: q or z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 - -151. Is p a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54 (base 15) to base 5.\nAnswer: -304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1577*d - 3*d**2 - 11 - 4*d**2 + 1572*d + d**3 as o + z*d + l*d**2 + y*d**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.41619 at most as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109841 + 14005 = -4794*d - 134461 - 5363 for d.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1698.97 - 28.17. What is g rounded to the nearest 10?\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-2\/7)*y\/y**2)\/(y**(-1\/2)\/y*y**2)*(y**(5\/4)*(y\/((y\/y**(3\/8)*y)\/y))\/y)**(-41) assuming y is positive.\nAnswer: y**(-1479\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + (-204)\/76)\/(321\/(-107))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 9:38 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**5\/a*a)\/a)**(2\/41))**(-2\/15) assuming a is positive.\nAnswer: a**(-16\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2375\/3 - 804. Let n be (-77)\/14 + 20\/(-8) - (-3 + 6). Are n and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 884 is divided by 175?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -578*m**3\/3 - 680*m**2\/3 - 200*m\/3 = 0 for m.\nAnswer: -10\/17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2115 - 2114.6. What is the smallest value in m, -5, -0.02, -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 87, 78, 67?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 2*w**2 - 3*w + 4. Let y be h(3). Solve -2*i = -l - 3, 2*i - y*i = l - 5 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*t**4 - 32\/5*t**2 + 16\/5*t + 4*t**3 + 0.\nAnswer: -4*t*(t - 2)**2*(t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*o - 115 + 138 = -102 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*l - 122*l = -39*l + 804 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c. Suppose 3*a + 40 = 5*p - 20, 0 = -5*p - 3*a + 90. What is the remainder when p is divided by o(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 - 111 = 9*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 2810100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -998 (b) 0 (c) 5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 7*n**2 - 6*n + 5. Let i be g(6). Suppose 2*b = 2, 2*b = o + i*b. Let h = 4 + -2. Put -1, o, h in ascending order.\nAnswer: o, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 6*p - 1. Let b be g(5). Suppose b*w = 95 - 15. Is (w\/16)\/(2\/88) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2112.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 90619 + -90619.0000282455. Round k to six decimal places.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 365141, 365807, 366473, 367139, 367805?\n\"Answer: 666*u + 364475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 4, 17, -349.81, 1, -4, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -22, 3, -2, 2.\nAnswer: -22, -2, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6021282*g**3 + 7933120?\nAnswer: -18063846*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23409, 47653, 71901, 96153, 120409, 144669?\nAnswer: 168933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**4\/7 + 6512*u**3 + 37105376*u**2 = 0. What is u?\nAnswer: -11396, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1817746*s - 1817405*s + 5456 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 178741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - z)*(-56 - 38 - 12)*(-6*z**3 - 9*z**3 + 0*z**3) as g*z**2 + t*z + q + k*z**4 + f*z**3 and give k.\nAnswer: -1590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*g - 41*g + 7*g + 3*g.\nAnswer: -44*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9741 divided by 25.\nAnswer: -9741\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-132 + 132 - 121*f**2)*(-f - 1 + 1)*(-1 + 1 - 2*f) + 2*f - f**4 - 3*f + 2*f**4.\nAnswer: -241*f**4 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1663?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -5*o**2 + 17*o + 11. Let d(g) = 3*g**2 - 9*g - 6. Let j(l) = -7*d(l) - 4*p(l). Calculate j(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (30 - 25) - -15\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y - 5. Let x(a) = -1. Let z(t) = -p(t) + 5*x(t). Let c(j) = 320 - j - 320. Calculate z(c(m)).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-8)\/(920\/69)*(-170)\/3*2.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 5, 7*j - 153 = -2*q + 2*j. Suppose 0 = 8*l - q - 183. Does 34 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1076381, 1076432, 1076559, 1076798, 1077185, 1077756, 1078547?\nAnswer: 1079594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*t + 0 + 2)*(0 + 3 - 2 + 2 - 1 - 2 + (1 - 1 - 2)*(-2 - 4 + 5)).\nAnswer: 4*t - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -417837374903*a + 417837374903*a - 4*a**3.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 - 1 - (-57 - -37).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + (sqrt(75) - -1*sqrt(75))**2*-6).\nAnswer: -10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 5*n + 7, 0 = 4*r - 3*n - 6 - 11. Suppose -2*z - 3*b + 0 = r, 3*z = 5*b + 35. Calculate the highest common divisor of 10 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 161481 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 25 (b) 2 (c) 37 (d) -1\/4 (e) 23\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*6*(sqrt(396) + -1 + 2 + -1) + -4 + -2)**2.\nAnswer: 2592*sqrt(11) + 513252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 5*b**2 + 6*b + 5. Let y = 16 + -10. Let q be u(y). Suppose 0*r = -r + 4. Sort q, r, -1\/2 in ascending order.\nAnswer: -1\/2, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 602359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/14*-4)\/((-44)\/154). Suppose -2*z - 3*z = 35. Is b\/z - 372\/(-28) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 82\/1056159 and 8\/9?\nAnswer: 1056159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/50 - 1009999\/5. Round m to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 10*o - 7. Suppose 8 = -j + 5*j. Suppose 4*z - z + 22 = 4*l, -2*z + j*l - 14 = 0. Is i(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from awoaaoooaawo. Give prob of picking 2 a, 1 o, and 1 w.\nAnswer: 20\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3*w = -189 + 79, 4 = -2*w. Let i = b - -353. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -12*u - 2 + 13*u + 186*u**2 - 66*u**2. Let r be y(2). Suppose -10*b + r = -0*b. Calculate the highest common divisor of b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 198 divided by 18\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081681044863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 + 3325*t**2 - 6615*t - 9945.\nAnswer: -5*(t - 663)*(t - 3)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/(-15) + 1\/(-5). Suppose -3*c + 2*u + 10 = 0, 4*c = 3*u + f + 12. Suppose 2*r = 2 + 2. Calculate the greatest common divisor of r and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37 or -548\/15?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(4 - 1 - 2)*((g**3 - 1 + 1)*(-6*g**2 + 2*g**2 + 3*g**2) + g**5 - 3*g**5 + g**5 + g**5 - 3*g**5 - 2*g**5).\nAnswer: 12*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by -444\nAnswer: -17\/444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/9*m**5 - 4\/3*m**4 + 26\/9*m**3 - 8\/3*m**2 + 8\/9*m.\nAnswer: 2*m*(m - 2)**2*(m - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2 = 10. Let u(f) = -2*f**2 - 4*f - 5. Let z be u(-2). Sort -3, i, z in ascending order.\nAnswer: z, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**3 - 11*c**2 - 18*c + 3. Let h be j(-6). Let d = -1 + h. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-2)\/(4 - -24)). Let g = l + -12. Calculate the greatest common divisor of 14 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -8. Let o = 66 + 181. Let h = 246.9 - o. Which is smaller: s or h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 160 and -5261.\nAnswer: -841760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*w + 616 = 0, 4*g - 1232 = -4*w + 3*w. Calculate the greatest common factor of g and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 359 a factor of 508635508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3341, 3304, 3277, 3266, 3277, 3316, 3389, 3502?\n\"Answer: p**3 - p**2 - 41*p + 3382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2641?\nAnswer: 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (75\/(-9) - -9)*1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4*u = -3*j - 5, -5*u = 3*j - 8. Let q be 4\/10 - (-21)\/(-15). Let n = j + q. Solve -2*m + 3 + 1 = n for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12621*l - 15861 wrt l?\nAnswer: -12621","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.033186, 2, -5, -3 in descending order.\nAnswer: 2, 0.033186, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 1\/3*x**3 - x - 27 - 1\/2*x**2. Let q(b) = -3*b**2 + 4*b + 7. Give q(r) + 5*w(r).\nAnswer: 2*r**2 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4)\/u**(-2\/19))\/(((u\/((u*u\/(u\/(u**(-3)*u)))\/u)*u)\/u)\/u*u)**(1\/10) assuming u is positive.\nAnswer: u**(-797\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1886686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 11*z + 26. Let b be x(-7). Let k = b - -1. Which is smaller: k or -77?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 a factor of 1507380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -247, -489, -741, -1009, -1299, -1617?\nAnswer: -1969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 733233718?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1196)\/(-208))\/(1\/(-4)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, k: 2, x: 1, g: 9, a: 3}. What is prob of picking 2 g and 1 x?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10a3 (base 11) in base 14?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 348174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -4 - -8 - 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1392 and 3480?\nAnswer: 6960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -224 + -1?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 8. Let v be r(-5). Suppose 0 = -g + v + 8. Is 4 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - j = l, -6 = 3*j for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 5*a - 35, 6*a = a - 2*k for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k - 8. Suppose -4*j + 20 = -9*j - 4*s, 0 = s + 5. What is g(j)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2647\/2 - -18525\/14. Which is the second smallest value? (a) 1\/7 (b) 61 (c) -5\/4 (d) -3 (e) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 209*v**4 - 247 wrt v?\nAnswer: 836*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.9 + 1.1. Let d = 1201 - 1193. Which is the closest to 1? (a) d (b) p (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 c when two letters picked without replacement from {w: 5, q: 11, c: 1, z: 2}?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/7, -1\/9, 0, -0.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**2 + 17*q. Let u(j) = 2*j**2 + 41*j + 28. Let k be u(-20). Calculate the remainder when 44 is divided by r(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 292, 310, 328, 346?\nAnswer: 364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/16688 and -83\/94432.\nAnswer: 98492576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 712412951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**5 - 4*c**4 - 12*c**3 + 16*c**2 + 10*c - 12 = 0 for c.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4 - 174*g**3 - 4190*g**2 - 17466*g - 13448.\nAnswer: -2*(g + 1)*(g + 4)*(g + 41)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of 1\/12*m**4 + 0*m**3 + 0*m + 13*m**2 + 0 + 1\/30*m**5. Determine u so that f(u) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146736 = -2333*c + 55749 for c.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 5*q**2 + q + 7. Let u be k(4). Suppose u + 1 = 7*v. Suppose 4*r + 64 = 4*t, -5*r + 28 = 2*t - v. Solve 2*l + t = 3*f - 9, f - 20 = 3*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*i**2 - 2 + 222*i**2 + 32*i**2.\nAnswer: 195*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y - 6. Let r(s) = -33 - 35 - 33 - 27 + 129. Calculate 2*j(z) + 4*r(z).\nAnswer: 2*z - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1545*l**2 - 701*l**2 - 425*l**2 - 419*l**2 + 7*l**3.\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r**2 - 8*r + 19. Is p(5) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 12 = -68. Calculate the greatest common divisor of o and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 514895 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2795)\/39*2*(-27)\/(-90)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -p**4\/6 + p. Let n(o) = 20*o**2 - 11*o + 11. Let l(y) = -7*y**2 + 4*y - 4. Let t(j) = -11*l(j) - 4*n(j). Calculate t(g(s)).\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -2141678\nAnswer: 4283356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 8*d**2 + 13*d - 8. Let y(n) = -23*n**2 - 38*n + 23. Let b(u) = 17*k(u) + 6*y(u). Let r be b(-5). Let t = r + 15. Solve -3 = m + t for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-18)\/((i*i**(7\/2))\/i))\/((i\/i**(-4))\/(i\/(i*i**(1\/17)))) assuming i is positive.\nAnswer: i**(-903\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) + (sqrt(1568) - sqrt(8)))\/((sqrt(200) + sqrt(8))\/sqrt(2)))**2.\nAnswer: 98\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2164\/3 at most 721?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.046661 rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.9 - -2. Let o be -1 - 2\/8*-5. Let a = -4 + 6. Sort o, a, n in increasing order.\nAnswer: n, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -166781 and -364.3?\nAnswer: 60758318.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 - 17434*n**2 + 38140800*n - 643365000.\nAnswer: 2*(n - 4350)**2*(n - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3096)\/45)\/(1\/(-10)) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2042 - -646. List the prime factors of y.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -15. Suppose -13 = -j - h. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ueueereeuerrrerur. Give prob of sequence eue.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, -25, -4 in descending order.\nAnswer: 60, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68 + 47 - 33*m - 215 + 45 + 55.\nAnswer: -33*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 15330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-5.96.\nAnswer: -35.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -1\/2*z**4 + 1\/60*z**5 + 0 - z**2 + 7\/6*z**3 + 0*z. Let u be w(11). Let n(c) = -c**2 - 5*c + 2. Give n(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7804 - -7804. Solve -4*m = 2*w - 8, d = -5*m - 116*w + 113*w + 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3714 + -263700\/71. What is the closest to 1 in 0.5, -1\/9, k?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/4 + (-15)\/10. Suppose -13 = r*u + u + 4*w, 5*u + 16 = -w. Let i be (-2)\/u + 21\/9. Solve 4*b - 18 = -i*t, 0*t + 13 = 5*t + b for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**2 + 15*z**4 + z**2 - 3*z**2 + z**4 + 3*z**2 + (0*z**2 + z**2 + 0*z**2)*(5*z**2 + 0*z**2 + 3*z**2) as q + d*z**4 + u*z**2 + h*z**3 + j*z and give d.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 5*g**2 - 7*g - 1. Let m be h(-6). Sort m, -3\/7, 1\/10.\nAnswer: -3\/7, 1\/10, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2136 and 3?\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y**2. Let p(k) = -444*k + 446*k - 6 - 14 - 3. Calculate p(n(c)).\nAnswer: -6*c**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-16) + (-134)\/4. Let z be -6*(l\/9 - -3). Suppose 0*s - 332 = 4*s - z*t, 357 = -4*s - t. What is s rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*t - 10*t = 1230. Calculate the remainder when t is divided by -3*((-68)\/(-6))\/(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 2*y + 12. Let u = y + 1. Calculate the remainder when 9 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*a + 5*a - 2*a - 28 + (-2 + 3 - 3)*(0*a - 2*a + 4*a) as m*a + k and give k.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**3\/4 + 141*h**2\/2 + 5655*h\/4 = 0?\nAnswer: -65, -29, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 107460142 (base 8) in base 16?\nAnswer: 11e6062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**4 + 4993*u**3\/3 - 370*u**2 = 0.\nAnswer: -555, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000317358 to 5 dps.\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264) + 1*(sqrt(264) + (sqrt(264) - sqrt(264)*-1)) + sqrt(264))\/(sqrt(300)*-1))\/((sqrt(96)*1)\/(-2*sqrt(363))).\nAnswer: 11*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17132 divided by -21?\nAnswer: -17132\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14016*j + 82833 wrt j.\nAnswer: -14016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19661?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8369196680 to the power of 1\/7, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 594011?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - c**2 - 6*c + 14. Let j be g(0). Solve 2*y + j = 6 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*r - 22*r - 20*r + 12*r.\nAnswer: -58*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (14 + -9)) + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7\/(-9 + -5) - (-52)\/136)*3. Which is the nearest to -0.01? (a) 4 (b) l (c) -1\/5 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.27 - 11.73. Let g = 11 + k. Let j = 0.21 - -0.09. What is the third smallest value in g, j, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 591026898 a multiple of 913?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -96*h**4 + 0*h**3 - 3962*h**2 + 1797*h**2 - 16*h**3 wrt h?\nAnswer: -2304*h - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 194705 (base 15) to base 14\nAnswer: 2403cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**2 - 2*k**2 - 15*k + 15*k.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1035 + 1747. Let p = -719 + g. Which is the third smallest value? (a) p (b) 3 (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*9\/(-9)*(-144)\/32.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sbfa when four letters picked without replacement from {f: 2, b: 9, a: 1, s: 7}?\nAnswer: 7\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 27*l + 7. Let s(g) = -g**2 - 55*g - 15. Let q(r) = 2*s(r) + 5*w(r). Is 14 a factor of q(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/((-27)\/21 - 0 - 16*8\/(-448)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(-3*y**4 - y**4 + 2*y**4) + (-y**3 - 4*y**3 + 3*y**3)*(4*y - 38 + 38).\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -48f5 - -3?\nAnswer: -48f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*n + 62 = 0, 0 = n + 3 - 2. Let l = t + 37. Solve -l*f = -3 - 13 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 215215 divided by -1001\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/340*39\/((-12831)\/188)\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**4\/6 + 5*y**3\/6 - 3*y**2\/2 + 4*y. Let g be n(3). Suppose 0 = 5*s - 29 - 1. What is the highest common factor of g and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/((-64)\/12) + -1. Which is the closest to -1\/13? (a) t (b) -5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 0)\/((-2)\/(-5)). Let w = -0.281 - -0.381. Which is the smallest value? (a) w (b) s (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 2. Let x be (0 + (-1)\/l)\/(-1). Let h = -4\/241 - 221\/1205. Which is bigger: h or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = j - 27 - 127, 0 = -3*j - 2*i + 437. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10651812 to 3 dps.\nAnswer: -0.107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = n - 21*g, 35451*n - g = 35448*n - 135 for n.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 187669720?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 (base 5) in base 16?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -470613874862 from -0.5.\nAnswer: 470613874861.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1554 - -2779. Is 12 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1620 - 59*o + 98*o - 41*o)*(-1 + 1 + 2*o**3) to y*o**3 + g + v*o**2 + j*o + m*o**4 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15486a (base 11) to base 2.\nAnswer: -111010101111110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 374 divide 1102178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*y - 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**3\/(b**5\/b))\/(b*b\/(b*b**(-1))*(b\/b**(-2\/17)*b)\/b) assuming b is positive.\nAnswer: b**(-70\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132809784.\nAnswer: 2, 3, 5533741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 30, 43, 72, 123?\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*d**3 + 15*d**4 - 7*d**2 + 4*d**2 - 11*d**4 + 7*d**2 + 7*d**4 in the form z*d**2 + q*d**3 + s + u*d + v*d**4 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4363 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 12 and 228366.\nAnswer: 228378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -22, -341, -3, 8 in decreasing order.\nAnswer: 8, 5, -3, -22, -341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235305421.\nAnswer: 13, 1567, 11551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*d - 13*d**3 + 57*d - 2*d**3 + 55887356467*d**2 - 55887356467*d**2.\nAnswer: -15*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14012 - -4710?\nAnswer: -8202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oloo. Give prob of picking 1 l and 1 o.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 41*k - 1513 + 1513 - 2*k**2 + (2 - 2 - 2*k)*(2*k + 0*k - 5*k).\nAnswer: 4*k**2 + 41*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 - 258 - 265 = 137*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2976*t**4*y - 2*t**4 + 2*t**3*y - 82*t**2*y + 2*t*y + 2*y wrt t.\nAnswer: 71424*t*y - 48*t + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3515738, 14062974, 31641700, 56251916?\n\"Answer: 3515745*h**2 + h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -214 + 124. Let n = -14621 + 14625. Put -2\/7, d, n, -2\/3 in increasing order.\nAnswer: d, -2\/3, -2\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/((-6)\/(-4)) - (0 - 1). Let y be 6 + (32\/(-12))\/((-6)\/(-9)). Solve p = y*o + 3, -o + 0*o + p - g = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -44 + -30. Let q = 17317.37 + -17244. Let y = q + u. Round y to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 455 and 280?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - sqrt(7)*-2) + 4 - 4*(sqrt(7) + 0) - sqrt(84)\/(2*sqrt(1200) - sqrt(12)).\nAnswer: -20*sqrt(7)\/19 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*m - 41 - 5*m**2 - m**4 + 42 + 58*m in the form p*m + q*m**2 + c*m**4 + r + n*m**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4028 is divided by 397?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210 - 5823*a - 69 - 643*a - 72 - 69.\nAnswer: -6466*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - x + 0 - 3*x + 4*x - 3*x + (-3 + 0 + 5)*(2 - 2 - 2*x) + x - 5*x + 3*x + 95827 + 1638*x - 95827.\nAnswer: 1630*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1864189647 to 5 decimal places.\nAnswer: 0.18642","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-4) - 0)\/((-13)\/26).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 441*o*r**3*s*x**2 - 92*o*r**3*s + 6*o*r**2*s*x**2 - 5*o*r**2*s*x - 3*r**3 - 207*r*x**2 + r*x - 2*r - 1 wrt r.\nAnswer: 2646*o*s*x**2 - 552*o*s - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5*m**2. Let o(a) be the third derivative of -a**5\/10 - 19*a**2. What is x(o(b))?\nAnswer: -180*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11)\/((-1482)\/(-742) - 2). Suppose g = 8*g - u. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 12:44 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -34. Suppose 13*y = f*y - 24. Solve -y = -3*u + u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*b + 3*u + 55 = 0, 2*b - 2*u + 24 = 0. Let j = 26 + b. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*i = 130*i - 42 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjnnjjvncjvvmnj. Give prob of sequence mn.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 5*g)*(-5 + 1 - 4)*(g - 5*g - 2*g)*(-3 + 3 + 2) to the form s*g + j*g**2 + c and give j.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/5 + -4*63\/(-60). Solve 0 = k*v + 8 - 20 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2614*z + 4220*z - 1182*z + 4308*z + 10920*z to the form n*z + s and give n.\nAnswer: 20880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**4 + 151*q**3\/4 + 531*q**2\/4 + 104*q + 11 = 0.\nAnswer: -2, -1, -1\/8, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 - 8*v**2 + 4*v**2. Let s(c) = -5*c**2. Give n(s(w)).\nAnswer: -50*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 16.1. What is the second biggest value in r, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7420671 to the power of 1\/2, to the nearest integer?\nAnswer: 2724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + 7*i - 5*i - 3, 12 = 3*i for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/(d\/(d\/(d\/d**(1\/4))))*d*((d*d\/(d**0\/d*d))\/d)\/d*(d**(2\/7)*d)**(-2\/19)*d**(-9)\/d**(1\/5)*d**6*d**(-3\/2) assuming d is positive.\nAnswer: d**(-6877\/2660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) + sqrt(204) + sqrt(204) + sqrt(204)*3*-1 + sqrt(204) + sqrt(204)*-2*4 + sqrt(204))\/(-5*(-1*sqrt(48)*6)\/sqrt(4)).\nAnswer: -sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -5\/3*t**3 + 6*t + 5\/2*t**2 + 1. Let i(o) = 0*o + o**2 + 5*o**2 - 6*o - 7. Calculate -4*i(g) - 5*w(g).\nAnswer: g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 9:45 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 605.384 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -19*u - 2 - 1\/2*u**2. Let t be p(-20). Solve -5*i + 16 = 4*v, -4*v + 4*i + 17 = t for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19790000 rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*p - 2301 = -22*p - 3*p for p.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 + (4 - 6\/1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001010000 (base 2) to base 16.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6a31 - 5?\nAnswer: -6a36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (16\/12 + 2\/3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22785*a**3 - 11386*a**3 - 11388*a**3.\nAnswer: 11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20889 and 7029.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7\/14)\/((-1)\/(-14)). Let m = q - 5. Let c = 432\/5 - 86. Is c greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 102 by 51.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080548 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 102\/151 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 + -59\/2. Let h = -1611\/5 + 11307\/35. What is the closest to k in 3, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 20, -1 in increasing order.\nAnswer: -1, 0, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -11*f. Suppose f*c + 3*c = 0. Suppose 3*w = 5*m - 12, c = -3*m + w - 1 + 9. Solve 0*b + 6 = -2*v + b, -v - m = 2*b for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 u, and 2 g when four letters picked without replacement from geyhygggyuy.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 75 and 3571.\nAnswer: 267825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-15\/7))\/h)**(-3)\/(h\/(h*h\/h**(-4)*h)*(h*h*h**(-43))\/h) assuming h is positive.\nAnswer: h**(291\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.5 + 3.5. What is the second biggest value in 2\/19, 1, h?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352 + 75 = 225*p - 23 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*3\/(-30)*510 + 5. Let v = 537 - f. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2175, -9093, -20621, -36759, -57507, -82865?\n\"Answer: -2305*k**2 - 3*k + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (117 - 76) + (-20 - -1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-6))\/((q*q**(-8))\/q))\/(q\/(q\/(q**(-2)\/q))*(q\/(q*q\/q**4))\/q)*(q**(1\/5)*q**(2\/7))**(-3\/17) assuming q is positive.\nAnswer: q**(137\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 10098\nAnswer: 1\/5049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-15) - 280\/(-12). Solve 9*y = -d - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 5*u**4 - 1486050*u**3 - 16346995*u**2 - 47555220*u - 41610940 = 0?\nAnswer: -7, -2, 297221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 7:08 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 117 = -4*l, -l = -4*l. Suppose 0 = -3*q - 0*q + 60. What is the remainder when k is divided by q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 0.1 (c) -8 (d) 0.5 (e) -2\/19 (f) -0.5 (g) -315\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*s - 8 + 2 = 0, -5*i = 2*s - 33. Suppose u - v = 124, 35 = u + i*v - 119. Let m = u + -51. What is the greatest common factor of 26 and m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -4282257?\nAnswer: -4282255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = n + 10, 3*m + m = 4*n + 20. Factor -9*u + 108*u**2 + 107*u**4 + 28*u - 26*u**4 + 162*u**3 + m*u.\nAnswer: 3*u*(3*u + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 173 in decreasing order.\nAnswer: 173, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -23 (c) -5 (d) 0.2 (e) 0.214\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3105 is divided by 1403?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 57 = -5*z, -129*c + 112*c = -3*z - 73 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = m - 9, -m = 2*i - 4*m - 8. Let u(w) = -w**3 + 8*w**2 - 7*w + 6. Let d be u(i). What is the highest common factor of d and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -98*d**3. Let j be p(1). Suppose -120*m + 909 = -123*m. Let v = j - m. What are the prime factors of v?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 6*d**3 + 11*d + 6. Let q(r) be the third derivative of -r**6\/120 - r**4\/12 - r**3\/6 + 33*r**2. Calculate -22*q(b) - 4*x(b).\nAnswer: -2*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1099916562.\nAnswer: 2, 3, 97, 593, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, k: 3}. What is prob of picking 1 k and 2 z?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 0*v**2 - v**2 - v**2 + 5*v**2 + 3*v = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence el when two letters picked without replacement from {e: 1, n: 1, l: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 4. Let f = v - -4. Let a(q) = 5*q + 2. Let g(d) = -d. Calculate f*g(p) + a(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/468 + ((-250)\/104 - -2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 144 in increasing order.\nAnswer: -5, -1, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x - 7. What is o(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 4*q**3\/5 + 106*q**2\/5 + 146*q\/5 - 20 = 0.\nAnswer: -25, -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -11, -49, -121, -239, -415?\nAnswer: -661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33436122.\nAnswer: 2, 3, 5572687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13404?\nAnswer: 2, 3, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 126525, 126529, 126533, 126537?\n\"Answer: 4*i + 126521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53343*c + 53343*c + 1098*c**2.\nAnswer: 1098*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*f - 12 = 16, -m + 4*f + 18 = 0. Put -5, 1, m in decreasing order.\nAnswer: m, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11719, -11718, -11715, -11710, -11703, -11694?\n\"Answer: i**2 - 2*i - 11718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 187*q + 4*q**3 - 10*q**2 - 12*q**3 - 187*q in the form y*q**2 + v + p*q**3 + b*q and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 189*y + 26093. Determine s(-138).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 614 is divided by 112?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 7*c**3 - c**2 + c. Let l = 3 - 4. Let q = 0 - l. Calculate v(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 333 and 185?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -2*p - 4*v - 7, 4*p = 4*v - 16 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 1478*u + 17. Is q(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (66\/6 + 2547\/(-234))*(0 + 8\/(-6))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9019 - 9183*y - 954 + 4588*y + 3779 + 4599*y.\nAnswer: 4*y + 11844","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a + 6ddc1?\nAnswer: 6dddb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6))\/(1\/((-51)\/(-119))).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 1, 0.3, -124, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -1. Let m(b) = b - 12. Let l(c) = 6*j(c) - m(c). Let u(n) = 4 + 0 - 17 + 2*n. What is 13*l(o) + 6*u(o)?\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 809529950 divided by 265?\nAnswer: 3054830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 u, and 1 k when four letters picked without replacement from {u: 3, k: 3, t: 3, r: 1}?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*c*q**3 + 2*c*q + 38*c - 9*q**4 + q**3 wrt q?\nAnswer: 30*c*q - 108*q**2 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2921 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9.012 - 4.012. What is the biggest value in 0.06, 0, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -3*q + 3*c - 114, 3*c - 152 = 4*q. Let x = 59 + q. Suppose 0*b - 8 = -4*b - 2*d, 0 = 5*b - 3*d - x. Is b smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 27*g - 28. What is l(26)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*a**2 + 8081514 - 8081514.\nAnswer: 122*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 d when two letters picked without replacement from {f: 4, t: 1, d: 1, m: 1, k: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -548.9 - -492. Round q to the nearest integer.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + -1. Let g = w + 28. Let q = -8.994 + g. Round q to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.3647*7.64\nAnswer: -79.186308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34685 and 813611.\nAnswer: 28476385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 760243 + 3?\nAnswer: 760246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a80c (base 16) to base 9.\nAnswer: -174817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuufufufuuuuuufuuu. Give prob of picking 3 f and 1 u.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 43134*d**3 - 13*d**2 - 35*d - 350. Let c be v(-15). What is c rounded to the nearest one million?\nAnswer: -146000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + w - 92563, 18744 = d + 5*w + 241. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence snv when three letters picked without replacement from {v: 1, n: 5, s: 2, g: 1}?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -166827555 at most as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 958929 to the nearest integer?\nAnswer: 979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -21*w**2 + 2008*w - 5063. Determine j(93).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-2) + (-13)\/2. Let z = a - -7. Which is greater: z or -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38555 is divided by 2257?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 269 minutes before 2:16 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is 2664 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k + 26. Let w be q(0). Let h be w\/6 + (-24)\/(-36). Suppose 2*n = 2*j - 4*j - 5798, -14503 = h*j - 3*n. Round j to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -849\/28 + 119\/4. Is b >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 3*o**4 - 9*o**3 - 684*o**2 - 4044*o - 5472 = 0.\nAnswer: -8, -6, -2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5a86 (base 11) to base 15\nAnswer: -2559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(288) + 1) + (sqrt(288) - (sqrt(288) - -3*(sqrt(288) - sqrt(288)*2))) - (0 + sqrt(288) + -3 + sqrt(288) + 5))**2.\nAnswer: 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -51655 in decreasing order.\nAnswer: 2, -3, -51655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*o - 2*y - 8 = 0, -5*o + 29 = 4*y. Determine m so that -o - 4*m**4 + 1 - 72*m + 8*m**2 - 8*m**3 + 76*m + 4*m**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -3*r**5\/20 - r**4\/2 + 2*r - 1. Let a(m) be the first derivative of u(m). Find the third derivative of a(j) wrt j.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 5*g**2 + 9*g - 4. Let r(w) = w**2 + w - 1. What is h(i) - 5*r(i)?\nAnswer: -i**3 + 4*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*13.040975.\nAnswer: -26.08195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 109000 = h. Let x = h + 589004. Suppose 2*r = 4*t - x, 3*t = -t + 3*r + 480006. Round t to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -2656?\nAnswer: -2655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of c**3\/3 - c**2 + 2*c + 3. Let v = 0 - -2. Determine x(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**4 + w**4 + 5*w**4)*(-2 + 2*w + 2) + 2*w**5 + w**5 - 4*w**5 - w**2 + w**5 + w**2 - 131*w**2 - 160*w**2 + 4*w - 2*w**5 + 312*w**2.\nAnswer: 2*w**5 + 21*w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14636*m**3 + 28*m**2 - 10*m + 40124797?\nAnswer: 43908*m**2 + 56*m - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 19*z - 5. Let h be w(15). Suppose -4*k - h = -9*k. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6869 is divided by 979?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 604 - 603. What is the nearest to p in -5, 0, 0.2, 15?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 3*n**2 + 8*n - 6. Suppose -x - 11 = 2*v, 4*x + 11 = -0*x + 3*v. Let z be k(x). Which is the nearest to 2? (a) 1\/3 (b) -1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 74, 91, 108, 125, 142?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*i - 1717 = -43*i for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11556 and 2?\nAnswer: 11556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1709 is divided by 395?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3181450 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-5) - 6\/(-15). Let j = 0 - q. Suppose 333*o - 335*o + 6 = 0. Solve o*p + j*p = -15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 6. Suppose 57*d - 754 = 2666. Suppose 6*s - d = q*s. Round s to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + u - 175 = 0. Let w be 40000\/(-6)*(u - 10). What is w rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/155)\/(144\/(-10560)*22)?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1672 divided by 4?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/12 - ((-5)\/(-4) + (31 - 38)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 918 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 4\/7, -1\/7, 0.01, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 79084152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 871071282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*w + 3 = 0, -2*v = -0*v + 5*w - 21. Suppose -3*m - 3*g = 3, m + 28 = v*m - 4*g. Let c = m + -2. Is c at most as big as 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 11 = -3*p. Suppose m - 5*s - 17 = 0, -5*s - 10 = -2*m + 14. What is the remainder when m is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/(-10))\/(-2)*(-110)\/(-44)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 690 = 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 898c (base 15) in base 3?\nAnswer: 1110222220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 37\/(-2)*-66*1. Let p = 315 - 636. Let n = p + i. Round n to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 2*h**2 - 4*h**2 - 14 to the form d + w*h**2 + b*h and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5359 + -5350. Which is the nearest to -2? (a) z (b) -10 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 85 = 170. What is the common denominator of -85\/4 and (u\/36)\/((-2)\/28)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 451539000 to the nearest 1000000.\nAnswer: 452000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11)\/22*(-4)\/5. What is the closest to n in -30, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*p**2 - 14*p**2 - 4*p**2 - 13*p**2.\nAnswer: -52*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24935693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -70424 + 74070.1. Round u to the nearest 10.\nAnswer: 3650","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 1456?\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/665992 and 3\/19588?\nAnswer: 665992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -5*q**3 + 12*q**2 + 9*q + 2. Let d be x(3). Solve -5*c - 14 = -2*t + 3, 4*t + 2*c = -d for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -244*d**2 + 33*d**2 - 205*d**2 + 49*d**2 + 2*d**2 - 4*d**2 + 0*d**2 + (2 - 2 + 2*d)*(0*d - 3*d + 2*d).\nAnswer: -371*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 10*g**2 - 9*g + 4. Let l = -9 + 5. Let s be 44\/(-8)*(l - -2). Does 13 divide f(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/6*-16*(-3)\/6. Let h = 72 - 73. Sort 0, h, 2\/13, l in decreasing order.\nAnswer: l, 2\/13, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/7 + 25784*w\/7 - 25785\/7.\nAnswer: (w - 1)*(w + 25785)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/2268 and 25\/396.\nAnswer: 24948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/2181264 and 53\/63256656?\nAnswer: 63256656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 181848426 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - -2180874.\nAnswer: 2180879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/14 and -93\/520?\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -139992, -1, 3, -1\/31?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 1) + (0 - -3). Let w(d) = d**3 - 6*d**2 + 2*d - 5. Let s be w(6). Suppose -7*n + 42 = s. Solve -f = t - n for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - -2 - ((268 - 56) + -138).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 178 + -70. What is the highest common divisor of 72 and l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(10\/(-2))\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 6*t**2 - 5. Let k be d(6). Let o(c) = -c**3 - c**2 + c + 1. Let x(b) = 7*b**3 + 10*b**2 - 11*b - 1. Let n(p) = 6*o(p) + x(p). What is n(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 8?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.69400816 rounded to 4 dps?\nAnswer: -4.694","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.165068l?\nAnswer: 3165.068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-24) + 31\/(-3) + 10\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 5*g + 17, -4*n - 13*g + 9*g = -20. Let d = -4 - -6. Suppose -n*v - 1 + 12 = -w, -5*v = -d*w - 16. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218725 is divided by 349.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60 + 216. Suppose 4*y - 330 = 5*k, -y = y + 2*k - n. Calculate the greatest common factor of y and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 10:15 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-1) - 3070*4\/56. Let h = y - -220. What is the nearest to 14 in 2, -4\/5, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 43?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29a (base 14) to base 5.\nAnswer: 4103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b\/((b\/(b\/(b**(-5\/4)*b)))\/b*b*b)))\/(b**8\/b))\/((b*b**5)\/(b*b**(-10))) assuming b is positive.\nAnswer: b**(-89\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -211*h + 1475. Give t(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 103, 169, 221, 253, 259, 233, 169?\n\"Answer: -t**3 - t**2 + 76*t + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 18 = 7*k + 2*u, -k = -5*u - 1. Let a be 0\/(-2)*(-2)\/(-4). Sort -5, a, k in ascending order.\nAnswer: -5, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j**2 + j - 24. Let i(h) be the second derivative of -h**4\/6 - 6*h**2 + 6*h. Let o(v) = -5*i(v) + 3*p(v). Is o(-9) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/f**0*f*f*f)**(-2\/7)\/(f*f*(f\/f**(2\/5))\/f)**24)**(-37))**38 assuming f is positive.\nAnswer: f**(1959964\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 - 23) + 2 + 7?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 1 = 5*s + v, 2*v - 4 = -2*s. Suppose -3*w + 16 = s. Put 4, w, 1 in increasing order.\nAnswer: 1, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kklklkkkkk. What is prob of picking 2 k?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 7:32 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f**3 - f**2 + 2*f + 1. Let h be b(2). Suppose o - h + 1 = 0. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-2) + -1)*-6. Suppose s - 27 = 4*k, -2*s - 2*k + 67 = c*k. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 1\/3, -2\/3, 2.\nAnswer: -2\/3, 1\/3, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 120201121021022 (base 3) in base 5?\nAnswer: 4114414303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (4 + -1 + -4) - (7 + -5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 4 = -3*s. Let u(k) = k**2 - 11*k. Let o(z) = -z**2 + 10*z - 1. Let y(d) = s*u(d) - 4*o(d). What is the units digit of y(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - sqrt(76)*-3*-4) + -3*sqrt(76)*6)\/(-1*sqrt(100)*-2 - (sqrt(100) + -6*2*sqrt(100))).\nAnswer: -29*sqrt(19)\/65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3650135441?\nAnswer: 6761, 539881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -332, -158, 124, 508, 988, 1558?\n\"Answer: -m**3 + 60*m**2 + m - 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 1 = w, -4*w = y - 6 + 13 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38577 = -11596*h - 22241 - 31950 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*w - 83510. Suppose -3*b + 2*b + 7502 = 0. Let i = b - w. What is i rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**3\/11 + 10166*j**2\/11 - 81230*j\/11 + 152250\/11 = 0.\nAnswer: 3, 5, 5075","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 451509\/13 + -34731. Let p = 2 - 0. Factor 8\/13 + y*w - 2\/13*w**p.\nAnswer: -2*(w - 4)*(w + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**4\/3 - 13*t**3\/3 - 11*t**2\/3 + 13*t\/3 + 4 = 0. What is t?\nAnswer: -12, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*n + 21 = 0. Suppose 0 = 4*x - n*x + 18. Solve x*l - 4*l = 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {e: 2, k: 1, q: 5, z: 7, x: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 15*f - 83. Let p(o) = -189*o**2 + 54*o. Let b(i) = 94*i**2 - 28*i. Let g(t) = f*b(t) + 3*p(t). Find the second derivative of g(j) wrt j.\nAnswer: -194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -15*f - 34. Determine n(-4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93, 244, 399, 558?\nAnswer: 721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 21\/6)*3. Which is the biggest value? (a) -2\/13 (b) -0.2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 108*t = -105*t - 7, -3*t = -3*g - 15 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-7))\/(h\/(h\/(h\/h**8*h))))\/(h*h\/h**(1\/3)*h*h*h)**13)\/((h**(1\/3)*h)**(-2\/13)*(h**(1\/4))**(-26)) assuming h is positive.\nAnswer: h**(-1403\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -1. Suppose -3*n + 4*n = 91. What is the highest common factor of n and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-54)\/135 - 37\/(-5). Solve 3*i - v = -a, 0*i - 3*a + 5 = 5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 5*u**2 + u. Let g be a(-5). Suppose n + n = 0. Sort g, n, -4 in descending order.\nAnswer: n, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-144)\/64)\/(6\/16). Let x(k) = -k**2 - 7*k - 1. What is the least common multiple of x(r) and ((-24)\/(-54))\/(28\/630)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18358 - -50837. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from prjjpi. What is prob of picking 1 j and 1 i?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3850, -2, 5, 11, -4 in descending order.\nAnswer: 11, 5, -2, -4, -3850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*l - 18 = -k, -2*l = 5*k - 74. Suppose 2*q - 8 = -0*q. Calculate the smallest common multiple of q and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-2*sqrt(187)*-1)\/(-3*(sqrt(704) - sqrt(704)*-1 - sqrt(704))))**2.\nAnswer: 17\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11735223*t*u + 16276908*t wrt u?\nAnswer: 11735223*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**3 - 7*h**2 - 12*h + 16. Does 27 divide i(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16811, 33660, 50479, 67268, 84027, 100756?\nAnswer: 117455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99524 and 1190708?\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j + 1. Let a be i(-4). Suppose -a*l - r = 4*r - 55, -5*r = -15. Solve -3*y = -l*y - 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9346.187 millennia to months.\nAnswer: 112154244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 314723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, d: 3, y: 6, n: 1}. Give prob of picking 2 d.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30072?\nAnswer: 2, 3, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12241 - 12227. Suppose 2*b - b - 2 = 0. Sort z, b, -3 in decreasing order.\nAnswer: z, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vgvvvsxtxxtisg. Give prob of sequence stsx.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (6*2*sqrt(187))\/sqrt(11))**2.\nAnswer: 48*sqrt(17) + 2452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 9*n**2 - 12*n - 12. Determine m(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/25, 2\/9, 0.7, -11 in ascending order.\nAnswer: -11, 1\/25, 2\/9, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 77471 and -4.\nAnswer: 77467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/7 - 11636*p**2\/7 + 22027282*p\/7 - 13435164280\/7.\nAnswer: 2*(p - 2239)**2*(p - 1340)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -4202200 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -40, -3, -53, 0 in ascending order.\nAnswer: -53, -40, -3, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**4 - 6*p**4 - 2*p**4 + (0 + 0 + 1)*(316*p**4 - 625*p**4 - 201*p**4) to r + k*p**2 + b*p**3 + d*p + s*p**4 and give s.\nAnswer: -515","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 22230430?\nAnswer: 22230432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 - 23. Let r(u) = u**2 - 14*u + 23. Let f be r(11). Calculate the remainder when d is divided by (-20)\/(2 - 0)*5\/f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -131*b**4 + b**3 - 28*b - 201. Let v(s) = -67*s**4 - 15*s - 101. Let q(i) = 6*l(i) - 11*v(i). What is the second derivative of q(a) wrt a?\nAnswer: -588*a**2 + 36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -4, 3 in descending order.\nAnswer: 15, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-4 - -6)) + 2 + -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1269 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + n**2 + 7*n**2)*(-n**2 + 0*n + 0*n)*(-6*n + 2 - 2).\nAnswer: 36*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 1:09 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 13) in base 15?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13020013233 (base 4) in base 2?\nAnswer: 111001000000111101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (40 - 6\/3) + 4. Suppose -4 + z = 2*x. What are the prime factors of x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 390*u - 366*u = 131568. List the prime factors of u.\nAnswer: 2, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 1\/4 (b) -4 (c) -69198 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 481\/12 - 11*9\/1188. Suppose -85*r = -93*r + b. Solve r*s = s - 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t + 12*t - 10 = 0. Let p(j) = -4*j**3 - 7*j**2 - 3*j - 8. Let n be p(t). Suppose -n + 4 = -4*d. 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: Is 1261041647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2)**14\/(v**(-6\/5)\/((v\/v**(1\/5))\/v)) assuming v is positive.\nAnswer: v**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*c + 230 + 13 = 35. Put c, 4, 6, 8 in descending order.\nAnswer: 8, 6, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 9405214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o - 7. Give u(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -119*p + 1483. Let u(y) = -52*y**2. What is w(u(i))?\nAnswer: 6188*i**2 + 1483","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -6*g + g + 19, -1 = -k - 2*g for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -13.5. Let r be (-6)\/16*4\/9. Let x = -958\/15 + 64. What is the closest to y in r, 0.4, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46621580 is divided by 48.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/18 + (-3)\/1 and -5\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**3 - 5*r + 8. Let g be z(0). Suppose -3*t + 2114 = -2*u, 3 = -g*u + 5*u. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 2*c**2 - c. Let q be d(-2). Suppose -q*l + 2*y + 14 = -0*y, 3*l - 2*y - 18 = 0. Suppose r + l*r = 125. Is r a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(((c\/c**(-5))\/c)\/c))\/c*c\/((c\/(c*c\/(c*c*c**(2\/5))))\/c))**(31\/2)*c**(4\/5)*c\/(c**(1\/5)*c)*c**(-3\/5)*c*c**3\/c assuming c is positive.\nAnswer: c**(-497\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -17. Let t(s) = s**3 - 4*s**2 + 2*s. Let j be t(3). Let l = j - a. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -39\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/5, 7, -0.405, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0*0.07\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 4:37 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 6*o**4 - 11*o**3 - 17*o**2 + 17*o - 17. Let b(j) = j**4 - 2*j**3 - 3*j**2 + 3*j - 3. Suppose 30 = -4*y + 6. Let x(g) = y*r(g) + 34*b(g). Factor x(c).\nAnswer: -2*c**3*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + 3*h)*(3*h - 2*h - 5*h) + (h + 4 - 4)*(0*h + 2*h - 3*h) + (-3*h + 5*h + 0*h)*(3*h - 2*h - 3*h) in the form f + g*h**2 + a*h and give g.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 7225.8, -4\/9, -0.26?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 19915090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*v + 6 - 30 = 0, 3*v - 27 = -3*k. Suppose k*t + 81 = -s - 77, 0 = -3*t + s - 115. Let f = -21 - t. Calculate the remainder when 35 is divided by f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1138704632 divided by 87592664.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9733.\nAnswer: 9733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -881 (base 10) to base 7\nAnswer: -2366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -57? (a) 2\/17 (b) 0.21 (c) 5 (d) 2.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 11.7. Let d be 6\/24 - 14\/(-40). Sort i, 0.5, d in ascending order.\nAnswer: i, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 14*l**2 - 11*l - 9. Let j be t(13). Let g(a) = -2 - a - 7 + 4 + j. Is 2 a factor of g(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22328*n**3 - 1697*n**2 + 7*n wrt n?\nAnswer: 133968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3350216 + -1.2.\nAnswer: -1.5350216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*g + 5 = -12, -3*p - 2*g = -11. Let x = 2 - p. Let j(f) = 3*f**3 + 0*f**2 + 5*f**2 - f - 4*f**2. What is j(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -134 - -244. Calculate the lowest common multiple of f and 14.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5910 and 41250.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 3682.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of p**4\/8 - p**3\/2 - p**2 - 5*p. Let x(b) be the first derivative of r(b). Determine x(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 11:18 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 192994305 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2994968101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*x**3 - 231*x**4 - 915*x**4 + 6*x**3 + (-2*x - 2*x + 2*x)*(0*x + 0*x + 3*x**3).\nAnswer: -1152*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0905351 hours to microseconds.\nAnswer: 325926360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 455175 and 175.\nAnswer: 455175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 444 or 591?\nAnswer: 444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -3476 > 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 215772210 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6 + (-32)\/(-12)*(-54)\/(-12). Let v be (66\/11)\/(-24)*i\/9. Let k = 0.1 + 1.9. Which is the closest to -2\/3? (a) k (b) -0.1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191.5256 rounded to one dp?\nAnswer: 191.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 1:12 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 8 = 4. Let k be y*(-4)\/(-80)*-2. Let d = 16 + -18. Which is the nearest to k? (a) -5 (b) d (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3132 and 12.\nAnswer: 3132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = l - 520. Let g be (-2356)\/(-133) - 4\/(-14). Let d be 692\/28 + 1 + g\/63. Calculate the greatest common factor of d and l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4808775ml to litres.\nAnswer: 0.0004808775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -192, -199, -208, -219, -232?\n\"Answer: -v**2 - 4*v - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**3 - 2*w**2 - 12*w + 20. Let l be u(8). Suppose 0 = -16*n + 6*n + l. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3176 and 513321.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -12 (c) 2\/11 (d) 315 (e) 3\/5 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 46*t**2 - 2*t + 5. Let g(c) = -246*c**2 + 11*c - 26. Let y(z) = -2*g(z) - 11*k(z). Let s(v) = 153*v**2 + 34. Give -3*s(o) - 34*y(o).\nAnswer: 17*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2 = -2*k, 2*k - g = g + 10. Let h be (k\/5)\/(9\/(-6)). Let p = 52.1 - 51.1. Is p at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 45755712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*a = -6. Let m be (-2)\/(9\/a + -1). Let j be (-1 - 1)*m\/2. Which is smaller: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-4)*0*6\/78. Suppose 0 = 4*q - 2*l - 4 + 10, -5*q - 2*l = 21. Put 3, -5, n, q in increasing order.\nAnswer: -5, q, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 24311, 97334, 219029, 389390, 608411, 876086, 1192409?\n\"Answer: -b**3 + 24342*b**2 + 4*b - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 0. Suppose -v - x*v = -176. Suppose 3*u - v = -u. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -26*l. Let j(q) = -59994*q. Calculate c(j(t)).\nAnswer: 1559844*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i**2. Let h(x) = 63*x + 81*x - 305*x + 65*x + 70*x. Give v(h(y)).\nAnswer: -2704*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2*x + 6 = -2*h, -2*x = -4*h - 12. Let q(z) = 2*z**3 + z**2 - 4*z + 1. Let j be q(h). Put 2, j, -1, -3 in increasing order.\nAnswer: j, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/150 and 56\/8275.\nAnswer: 49650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u + 26 = -34. Let p(b) be the third derivative of -1\/30*b**5 + 7*b**2 + 0*b + 0*b**u - 7\/24*b**4 + 0. Find the second derivative of p(t) wrt t.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -88*r**2 - 1\/12*r**4 + 0*r + 0*r**3 - 1\/2*r**5 + 0 + 103\/60*r**6. Find the third derivative of z(c) wrt c.\nAnswer: 1236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.07 - 2.07. Let s = -1.4 + 1.7. Sort -0.3, s, q.\nAnswer: q, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -366 - -370. Suppose 448 = 4*j + 4*b, 3*j - k*b - 131 = 233. Calculate the remainder when j is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15)\/(-5) + 971081 + 5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in 4, -5, -3, 14\/5?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -12.4. Which is greater: u or 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - n + 9. Let z be y(0). Let b(s) = s - 5. Let f be b(z). Let o(p) = -p**2 + 5*p - 1. Calculate o(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7920\/(-2904) - 136\/176\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 224.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b*b**(-4))\/b)**(-11))**(-15)*(b\/b**(1\/2)*b)**7*b**9*b**(1\/5) assuming b is positive.\nAnswer: b**(-4753\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from miiimiyy.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 115 - 10032*j**2 + 1264*j**2 + 120 - 237 in the form d*j + s + p*j**2 and give p.\nAnswer: -8768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 5*k**2 + 3*k - 2. Determine z(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 976727.\nAnswer: 976727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/12 and ((-5)\/100)\/((-144)\/4020).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) -32 (b) 10\/9 (c) 2 (d) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 7*y**3\/2 + y**2 - 2*y + 2602. Let s(c) = c. Determine 2*s(u) - v(u).\nAnswer: -19*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 57347767.394405 - -0.2\nAnswer: 57347767.594405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 7*j**2 - 4*j - 14. Give x(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 43135 (base 6) to base 2\nAnswer: 1011100000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3717, -29560, -99715, -236346, -461617, -797692?\n\"Answer: -3694*g**3 + 8*g**2 - 9*g - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6417 = 123*m - 132*m. What are the prime factors of m?\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 798910.3 litres to millilitres.\nAnswer: 798910300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3 - 18 = 0. Let q be 4\/(-14) + (-23)\/v. Solve -q*w - 1 = 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(2448) + 3)*-3 - (-2 + 2*(sqrt(2448) + 1))) + -1)**2.\nAnswer: 1560*sqrt(17) + 61369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 685145848 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3879, -3840, -3781, -3696, -3579, -3424, -3225?\n\"Answer: x**3 + 4*x**2 + 20*x - 3904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, 4, -3, 2247 in decreasing order.\nAnswer: 2247, 4, -3, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 70?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3099, -3088, -3063, -3018, -2947, -2844, -2703, -2518?\nAnswer: -2283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/65 + (-1028736)\/(-468). Which is smaller: r or 2199?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 118*c**3 + 231*c**2 + 2 wrt c?\nAnswer: 708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 4576 + 300. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 10:01 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*82.829.\nAnswer: 24.8487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 4*l - 4234, -5*l = -5*y + 62 + 4208. What is the hundreds digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 5\/4786?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 784445331?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/16)\/4*1\/((-44)\/(-16))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 5*m - 3*m + (-2*m - 2*m + 3*m)*(-3 - 1 + 2))*(-4*m + 5*m**2 + 4*m)*(5*m + 5*m - 2*m).\nAnswer: -120*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 28*k - 570. What is the smallest common multiple of 8 and t(28)?\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*l - 1760*l - 1935*l + 1.\nAnswer: -3853*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 6.7. Let z = -332\/5 + 66. Which is the biggest value? (a) 1\/5 (b) z (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*b**4 + 11*b - 135*b**3 - 53 + 14*b + 54 + 134*b**3 as c + y*b**4 + m*b + k*b**2 + g*b**3 and give m.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18348 is divided by 588.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*w**4 - 485*w**3 - 3475*w**2 + 7565*w + 2890 = 0 for w.\nAnswer: -17, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wbb when three letters picked without replacement from bwbz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iuiuiu. Give prob of sequence uiu.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**3*b*r + 4*a**3*d + 3*a**2 - 3677*a*b*d*r + 56*b*d with respect to r.\nAnswer: 2*a**3*b - 3677*a*b*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 0 - (-192 + 196) - 14?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 26?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2940 and 80445?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 863, 870, 879, 890, 903, 918, 935?\nAnswer: 954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 130*j + 12389 - 19799 for j.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 2*u - 7, -3*u = -8*t + 9*t + 14. Is 286\/9 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 11:47 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((h\/h**(-2\/3))\/h*h)\/(h\/(h**3*h*h)))**50)**(-7))**(-9) assuming h is positive.\nAnswer: h**17850","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23128 - 23124. Let n(u) be the third derivative of 0*u**5 + 1\/3*u**6 + 35*u**2 + 0 + 0*u + 3\/4*u**b + 0*u**3. Find the second derivative of n(r) wrt r.\nAnswer: 240*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 + 1)*(-1550*z + 422*z**2 + 1550*z) + z**2 + z - z as s + f*z**2 + k*z and give f.\nAnswer: -421","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 5, -1 in descending order.\nAnswer: 5, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1694 or 877?\nAnswer: 877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -460, -377, -294, -211, -128, -45?\n\"Answer: 83*t - 543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from omomommmzmzzmomz. Give prob of picking 2 m and 1 o.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 32 = -7*a + 3*a, -a = -4*m + 17 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n - 3. Let l(s) = s + 8. Let f = -65 - -69. Suppose 4*q - 4*y = -24, f*y - 1 - 3 = 2*q. Let d be l(q). Give k(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*z - u - 2*u, -3*z = 2*u - 22. Let x be 2*(-2)\/z*0. Solve 4*w + 0*w = x for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3.7557mg?\nAnswer: 0.0000037557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/9 and -346\/31 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -8, 2*r = 2*a + a + 122. Let t be r\/10 - 4\/(-20). What is the remainder when 24 - 3\/((-9)\/t) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -8*d + 11. Suppose -d*r - 645008 = 5*l - 4*l, 0 = -5*r - 20. Round l to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 278?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**6\/90 - m**5\/60 + 5*m. Factor a(v).\nAnswer: v**3*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/11 and -25\/2477.\nAnswer: 27247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/69768 and -13\/25704?\nAnswer: 488376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of 13*z**4\/3 + 13*z**3\/2 + 19*z**2\/2 + 74*z. Is j(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.1 - -1. Let z = -10 + 9.1. Let h = k + z. Which is bigger: h or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -6. Suppose -1 = c - 0*u + 3*u, -p*u + 17 = -3*c. What is the units digit of c + (-2 - -3) + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 12)*(-69)\/3. Suppose 3*q - 67 = 4*s - 2*s, 50 = 2*q + 4*s. Calculate the greatest common factor of z and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 54*q. Let d = 8 + -7. Let h be v(d). What is the lowest common multiple of 4 and ((-10)\/15)\/((-2)\/h)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(363) - (-3 + sqrt(363)*-1 + sqrt(363) - sqrt(363))) + sqrt(363)*-2 + 4)**2.\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 1836525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1154.\nAnswer: 2, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pypypp. What is prob of picking 2 y?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 24\/50*275\/(-440)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1988356597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -31662*(39\/26)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*i - 35 = -23*i + 73*l - 81*l + 35, -13*i = -l + 353 for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -1676?\nAnswer: -1675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggvg when four letters picked without replacement from {v: 3, g: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 v when two letters picked without replacement from winvfww.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2797 is divided by 26?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2542348 minutes in hours?\nAnswer: 0.03757058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-5 - -2) + 12 + -13?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1329 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o - 1. Let k(a) = -a**3 - 3*a**2 + 3*a. Let i be (-2)\/(1\/((-4)\/(-2))). Let l be k(i). Let x = 3 - l. Give r(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 650 + 13*q**3 - 142*q**2 - 652 - 12*q**3 to w*q**2 + s*q + g*q**3 + d and give w.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 670*p. Let h(x) = -4*x**2 + 56*x. Determine h(f(n)).\nAnswer: -1795600*n**2 + 37520*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of v**4\/12 + v**3\/6 + v**2 + 4*v. Let s be w(0). Suppose t - 9 = -s*g + 21, 0 = 4*g - t - 54. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-25) + 1*(-36)\/15.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3 + 7 = 4*q, -19 = -5*q + 4*o. Suppose -q*u = 2*u. Let t = 10 + -6. Solve 2*l + t - 2 = u for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -1 + 11, -3*r + 31 = -5*w. Let c(p) = 16*p**2 - 5*p + 10. List the prime factors of c(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 148 + -135. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/158268 and -167\/2474736.\nAnswer: 27222096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/1851058 and 101\/10?\nAnswer: 9255290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 582, 580, 580, 582, 586, 592, 600?\nAnswer: 610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 61 - 57. Suppose 2*q = 2*m - 4, 8 = 4*q + b. Let a(h) = 4*h**2 - h + 2. Is a(m) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*h = 7*h. Let v be (-1 + 0)*(6 - 9). Solve v*x + 2 + 4 = h for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m - 34404 = -3644. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-1)*17\/(8 - -264)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3*8\/12)\/(-2). Solve 3*q - 2 = -2*l, -c = -0*l - l for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13, -3, 31, 101, 219?\n\"Answer: 2*q**3 - 4*q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000000001001101110 - -11000?\nAnswer: -11000000001001010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.88 and -822.\nAnswer: -4833.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3.2, 0.4, -4, -0.01, -0.5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8681?\nAnswer: 8681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.93 + -0.07. Let u = 0 - -26. Let i = u - 132\/5. Which is the second smallest value? (a) -1 (b) i (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -565 + 542 + (31 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + -3)*(9 - 10). Solve -4*w + s - 9 = 0, -s - n = w + 5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2646085*r**3 - 2055282*r.\nAnswer: 15876510*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 424*j - 388710 = -5746*j for j.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2041555 + 13?\nAnswer: 2042012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 + (-21 - -13) + 10\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 890*x - 16017. Let h be t(18). Factor 14\/3*k**2 + 58\/3*k**h + 0*k + 0 + 8\/3*k**4.\nAnswer: 2*k**2*(k + 7)*(4*k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-3))\/(4\/42). Let q = 24 + -13. Let r = q + s. What is the greatest common divisor of r and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -328 - -327.8. Let r = 4.1 - 6.14. Let i = -0.04 - r. Which is the nearest to -1? (a) v (b) 7\/5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 6. Let c = r - -4.32. What is c rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -28*o**2 - 329*o - 656. Let n be i(-2). Sort -24, n, 1 in decreasing order.\nAnswer: 1, -24, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j - 2*j + 4 + 4*j)*(2*j**2 - 10*j**2 + j**2) to y*j**2 + l*j**3 + r + o*j and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -51 greater than -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 36512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**(-1))**49\/(i**(-5)*i**(-2\/7)*i*i))**(-20) assuming i is positive.\nAnswer: i**(-21040\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -14910 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24245650 and 4290.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 161 - 82. Is d a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from ygxgygigyiigx.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352 is divided by 27.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, n: 2, i: 6, j: 1}. Give prob of picking 1 j and 1 w.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(6*sqrt(975)*4)\/(sqrt(84)\/sqrt(7)*-1).\nAnswer: -120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0465 + 182075.\nAnswer: 182074.9535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -2102211200?\nAnswer: 2102211210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -219*j - 12818. What is r(-60)?\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-31 - (33 - 34)) + -2 + -1 + -3 + 11\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j. Let v(w) = 3*w - 1. Let z(n) = 3*v(n) + 4*x(n). Calculate z(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -68 - -63. What is the smallest value in -1\/4, p, -0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 62, -2\/17 in descending order.\nAnswer: 62, 3, 0, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.2 - -1.3. Let g = t + -0.5. Sort 5, g, -0.5 in decreasing order.\nAnswer: 5, g, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2 - 24*n. Let c(l) = l - 36. Calculate c(t(p)).\nAnswer: -2*p**2 - 24*p - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*y**2 - 72*y**2 + 0*y**3 + y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*o**5 + 54*o**4 + 6*o**2 - 113*o.\nAnswer: -1080*o**2 + 1296*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q - 6*q - q + 2)*(-6*q**3 + 10*q**3 + 6*q**3).\nAnswer: -100*q**4 + 20*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 1 - 32 = 3*n, 0 = 49623*h - 49626*h - 4*n - 45 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/10224 and 49\/6943374?\nAnswer: 55546992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5437344 divided by 456?\nAnswer: -11924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/15852840 and -101\/97342.\nAnswer: 110969880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -408 + 418. Calculate the remainder when 36 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a day in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (164\/(-16) - -5)*(-20)\/15. Solve w*d = -15 - 13 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -f + 34. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24408579 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllclvomglclvlllo. What is prob of sequence oom?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -1. Let z = 10 - 6. Let f = h - z. What is the smallest value in -5, f, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*t**4 - 3 + t**2 + 29*t**3 + 14*t - 13*t + 30*t**4 + 18*t**4 as j*t**4 + y*t**3 + p*t + g + m*t**2 and give y.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16697 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 2*w**2 + 6*w - 6. Let d be r(3). Suppose 2*p = -4*y - 30, d*y - 20 = 5*p + 3. What are the prime factors of 6 + p + (-2 - -4)*72?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 3:29 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3797 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/(-5*(sqrt(9) + (sqrt(9) - sqrt(81)))))\/(sqrt(15)\/sqrt(3)*1 - (sqrt(500)*2 - sqrt(500))).\nAnswer: -sqrt(2)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -203, -215, -241, -287, -359, -463?\nAnswer: -605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*c**2 - 2090636*c - 4181288 = 0. Calculate c.\nAnswer: -2, 522661","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 27 = -15 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.4831345mm?\nAnswer: 0.04831345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 739725579 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11060452813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + a = 9, 12 = 4*a - 0*a. Solve -w - 8 = -5*s - 32, 0 = n*s - 2*w + 8 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence onn when three letters picked without replacement from nnzoz.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/((-21)\/12) - (3 - 4). Calculate the greatest common factor of z and 130.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -0*h, 5*h = 5*i - 30. Suppose -a - i = 3*q + 2, 3*a + q = 16. What is the remainder when 27 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-81*c + 36*c - 8*c)*(5*c - 4*c + 0*c) to n*c**2 + u + z*c and give n.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126129 is divided by 449?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -171, -336, -501, -666, -831?\n\"Answer: -165*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6304 + 2646 = 25*w. Suppose -g - w = -371. Calculate the remainder when g is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 2*s + 8, -6*s = o - 2*s + 10. Solve 0 = -j - w - 2*w - 7, o*j - w - 7 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(2\/3))**(-1\/62))**(-4\/5)\/((c**1)**(14\/5)*(c*c**7\/c)\/(c*(c\/((c**(-3\/8)*c)\/c))\/c)) assuming c is positive.\nAnswer: c**(-31261\/3720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - s - 33 = 3*s, 0 = 4*s + 8. Let o(w) = 9*w**2 - w - 1. What is the remainder when o(-1) is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g**2 + 4*g + 4. Let l(x) = 11*x**2 + 11*x + 10. Let c(o) = 3*l(o) - 8*q(o). Let j be (-1 - -8) + (-12)\/3. Calculate c(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 3*c + 3*c + (0 + 3 - 5)*(-2*c + 1 - 1) + 1 + c - 1)*(2*c**2 - 2*c + 2*c + c).\nAnswer: 6*c**3 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.76 + 3.86. Put -3\/2, p, -21.2 in descending order.\nAnswer: p, -3\/2, -21.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a = 2*j + 28, 77*j - a = 42*j + 31*j - 0*a - 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -67 + 69. Suppose 4 + 0 = -k*p + 2*m, 2*m = -5*p - 3. What is the nearest to -2 in 2\/7, p, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9639565438148941\/1455577726494 - 793\/485516253. Let m = 13245\/2 - o. Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (80\/(-48))\/((-2)\/174)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 936 and 52.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(2 - 1)*-1. Suppose 4*k = -a*k - 18. Let j(o) = -3*o + 2. Let h(b) = -2*b + 1. What is k*j(g) + 5*h(g)?\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -3*k - 300. Let s = -9 + k. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - 3*a - 20, -10*s + 5*a = -8*s + 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, e: 12}. What is prob of sequence eu?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - 148241.9?\nAnswer: -148262.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 39 + (19 - 49) + -92?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ra when two letters picked without replacement from {r: 7, a: 1, b: 10}.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*n**2 + 18*n + 20*n - 36*n as o*n**2 + l*n + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -21858448\nAnswer: 43716896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + 32 - 8 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34414*d**3*h**2 + d**3 - 124*d**2*h**2 + d**2*h + 24*d**2 - 48753*d*h - 1 wrt h?\nAnswer: -68828*d**3 - 248*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 + -24. Let b be 576\/r + 12\/30. Suppose 3*k = 50 + b. Calculate the smallest common multiple of 4 and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 8692 (c) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*p + 72 = -18*p. Suppose -6*d + 0*d = -p. Is d greater than 15\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/2 + 47*v**2 - 1054*v - 2300.\nAnswer: -(v - 50)*(v - 46)*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 120100 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 74*g + 12624. What is u(-111)?\nAnswer: 4410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 - 127*q - 68 + 22.\nAnswer: -127*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzzzzzz. What is prob of picking 4 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 9 = 2*d - 0*d, -n = d - 3. Suppose 12*t - 17*t + 340 = d. What are the prime factors of t?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, t: 9}. Give prob of picking 1 i and 2 t.\nAnswer: 72\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 15, 2*p + 7*z + 2*z + 10 + 2 = 15*z - 2*z for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3)*(3*z**4 - 5*z**4 + 4*z**4) - 4*z**4 - z**4 + 2*z**4.\nAnswer: 3*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*s + 2347 = 2122 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -158 - -158. Differentiate 19 + 1 + 11*g**3 + a - g + 0*g - 39*g**3 wrt g.\nAnswer: -84*g**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 7:38 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k + 0 + 0 + (5*k - 6*k + 2*k)*(2 + 1 + 0) + (-30*k - 4*k + 133*k)*(-2 - 3 + 1) as m*k + c and give m.\nAnswer: -389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l**0*l)\/l*(l*l**1)\/l*l)**14\/(l**(-3)*l*l\/l**(-3\/7)*l*(l**(-1))**(-48)) assuming l is positive.\nAnswer: l**(-45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(4)*-1*2 + sqrt(4))*-4)\/(-5*(sqrt(128) - -4*sqrt(128))))**2 + 3.\nAnswer: 3751\/1250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 337360091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, m: 2, f: 1, s: 1}. Give prob of sequence llsl.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2502 and 306.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -184 (base 14) to base 3\nAnswer: -102120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*z**4 + 864*z**3 + 4*z + 2009 wrt z.\nAnswer: 8*z**3 + 2592*z**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 92.8869 nanoseconds?\nAnswer: 0.000000001548115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -103*o - 2 + 0 - o**3 + 1 - 67*o + 163*o - 5*o**4 in the form u*o**3 + s + f*o**2 + c*o**4 + x*o and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*n**2 + 18*n**2 + n**3 - n**3 + 2*n**4 - 4*n as z*n**2 + m*n**4 + y*n**3 + r*n + h and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.29 + -0.81. Let l = -1.3 - d. Put -5, 4\/5, l in descending order.\nAnswer: 4\/5, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/4, -6, 35?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = w - 2*w - 80, -v = -2*w - 30. Suppose v = -3*s + 134. Suppose -5*x + s = -2*c, -3*c - 6 = 3. What is the greatest common divisor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 6 = j, -3*j - j + s = 7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -685*l - 16124 = -1054 for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 415 is divided by 135.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009124 to 6 dps.\nAnswer: -0.000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -6 - -2 - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of y**2\/2 - y - 3. Let u be n(6). Suppose 3 + 21 = 3*x. Solve -o - x = -u*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 9:46 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/38 and 5\/19576.\nAnswer: 371944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 6:28 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 24*i - 30. Suppose 15*g - 120 = 7*g. Let x be m(g). Let p = -26 + 41. What is the greatest common factor of x and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + 2 + 0)*(8 - 8 - 2*x) - 2*x + 2 - 2 + 3 - 3 - 2*x - 10*x - 25 + 25 to t + r*x and give r.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 9:36 AM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 11*t**2 + 9*t - 8. Suppose -x - 39 = 4*d, 3*d - 3*x + 48 = 15. Let f be z(d). What is the derivative of -h**f + h**2 - 2*h**4 - 2 wrt h?\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**3 - 2*i. Let j(u) = -5*u**3 + u. Let l(n) = -2*n**2 + 1. Let c be l(-1). Let y be j(c). Is 15 a factor of a(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ncbnninnbbnnibbcnbn. What is prob of picking 1 i, 1 b, and 2 n?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 334*f + 6331 = 335*f. Suppose 0 = -35*a + 1334 + f. Does 23 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 5*l**2 - l - 11. Let r be p(-4). Which is bigger: r or 2.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/10)\/(-567*43\/(-18060) - (-2)\/(-8)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -c - 5, 872 - 871 = -s - c for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 0 (c) 5 (d) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.7 and 15.\nAnswer: 10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 491.86 - 492. Round p to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2130*w**2 + 10669*w - 10669*w.\nAnswer: 2130*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2509 and 0.03.\nAnswer: -2508.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**4\/6 + 4*z + 85. Let o(d) be the first derivative of -5*d**2\/2 + 1. Calculate o(w(u)).\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -1. Let s(y) = -33*y - 9. Let g be (8\/(-20))\/(24\/420). Let d(h) = 17*h + 6. Let k(a) = g*d(a) - 4*s(a). Give -k(r) + 6*v(r).\nAnswer: -13*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*o - 31*o + 207*o + 3*o**2 + 9*o - 29*o.\nAnswer: 3*o**2 + 98*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from vffhhhhffvhvhv.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 16, 21, 24, 25, 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2944555*x. Let y(d) = -4*d**2. What is y(r(f))?\nAnswer: -34681616592100*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 - (-1 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 44 = -3*v. Let n(y) = -9*y + y - v*y + 33*y. Let x(b) = -2*b + 1 - 1. Determine n(x(m)).\nAnswer: -28*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 215194 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 751*d + 770*d + 12780 = 101*d for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - t - 102. Let d(n) = -2*n**2 + 2*n + 205. Let q(s) = 6*d(s) + 13*j(s). Let i be q(0). Let l = 178 + i. List the prime factors of l.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -118 (c) -2 (d) 4 (e) 1 (f) -29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1746682 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -613, -2, -4, 0 in ascending order.\nAnswer: -613, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 - 9 - 20 + 5*i + i - 5*i.\nAnswer: i - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 25 = -3*p, o + 0 = -1. Let u(d) = 0 + d + 1 + 1. What is the remainder when p is divided by u(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6 + -2.6. Let t = -0.322 - -0.053. Let a = t + -0.031. What is the biggest value in a, 0.05, i?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 20*m**3 - 19*m**2 - 10*m + 5. What is the hundreds digit of p(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -2 + (2 + -30 - -18).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8283 - 1?\nAnswer: -8284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**3 - 566*y**2 + 6*y + 4. Let v(f) = -3*f - 2. Give -g(u) - 2*v(u).\nAnswer: 2*u**3 + 566*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -213.1 + 213. What is the fourth smallest value in v, -2, -0.2, 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/2 + 801*m**2\/2 + 74422*m - 951600.\nAnswer: (m - 12)*(m + 325)*(m + 488)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3. Let m = 264 + -248. Let q(h) = m - 14 - h - 8. What is 3*q(s) + 6*r(s)?\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence id when two letters picked without replacement from {i: 3, e: 1, b: 1, d: 1, x: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 - (-14 + (0 - -22) + -4).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 5*k + 31, x = -0*k + 3*k + 17. Find the third derivative of -32*q**x - 2553*q**3 - 2*q**6 + 2553*q**3 wrt q.\nAnswer: -240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -60, -29, 14, 75, 160, 275?\n\"Answer: v**3 + 24*v - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 675.102 + -675. Let x = 0.09585 - a. What is x rounded to four decimal places?\nAnswer: -0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/((-3)\/(-3 + -1398)))\/(-4). Let g = -117 - i. Is -0.052 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 239\/74? (a) 1 (b) 2 (c) 0.2 (d) 3 (e) -34 (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0.0373 (c) -1\/205 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 620768 and 8208.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 2*u + 51. Let a(g) = 5*g + 38. Let i be a(0). Let n = i - u. Solve -5*p - 11 = 3*c + 13, -n = 4*p + 3*c for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 245, 493, 741, 989, 1237?\nAnswer: 1485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 666.3 + -757. Let i = 18.7 + w. Which is the second biggest value? (a) 1\/2 (b) i (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289 is divided by 94?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -68290822 less than -18?\nAnswer: 68290804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 26166, -1 in decreasing order.\nAnswer: 26166, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -5*z. Let a(d) be the first derivative of 0*d**3 + 0*d**2 - 25 + 1\/4*d**4 - 26*d. Let f(x) be the first derivative of a(x). Calculate b(f(i)).\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*z + 22 + 34 + 36*z - 4*z + z + 2*z + (4 + 2*z - 4)*(-2 + 1 + 0) to the form r*z + o and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 + 5272302505319?\nAnswer: 5272302505319.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-1\/9))\/(u**4\/u)*(u**(1\/2)\/u)**(-9\/8) assuming u is positive.\nAnswer: u**(-191\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -479 + 12238*g**2 + 479.\nAnswer: 12238*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 3. Let c be 0 + s + 8\/(-8). Let t(n) = -n**2 - n + 2. Give t(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 4*r + 20, 1743*r - 4*d - 10 = 1745*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35.1 + -35. Which is the nearest to o? (a) 1 (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 595 - 596. Put 0, t, 24 in increasing order.\nAnswer: t, 0, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -310*a**2 + 1 + 318*a**2 - 4.\nAnswer: 8*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38.185 - 0.015. Let w = 38 + d. Let k be (-3)\/(-4)*(-2)\/6. Which is the closest to w? (a) 0.2 (b) k (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1400467 kilograms to micrograms.\nAnswer: 140046700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o**3 - 877*o - 91. Give z(0).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3404\/(-46) + 117 - -80.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2680, -10749, -24204, -43045?\n\"Answer: -2693*b**2 + 10*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**4 - 286995*t**3 + 2582793*t**2 - 7748217*t + 7748136 = 0. What is t?\nAnswer: 3, 95656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 28*s**2 + 199*s + 8. Let y be q(13). What is the greatest common divisor of 1135 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 13*q**2 + 17*q + 57. Let i(j) = 2*j**3 + 26*j**2 + 35*j + 124. Let a(p) = -4*i(p) + 9*w(p). Let l = 5 + -17. Determine a(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5 + 5 - b**2)*(9*b + 13 - 13) + (-6*b**2 + 2*b**2 + 3*b**2)*(2 + b - 2))*(-6*b + 14*b - 10*b) to p*b**4 + l + y*b**3 + r*b**2 + t*b and give p.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -98325 divided by -3\nAnswer: 32775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 24*p**2 - 556*p + 2684. Calculate l(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 3)*-5*5\/(-450)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 211. Calculate the remainder when v(11) is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1186*z = 68*z - 45144 for z.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 395368 a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of a**6\/540 - 13*a**5\/18 + 4225*a**4\/36 - 274625*a**3\/27 + 3*a**2 - 12*a. Factor d(x).\nAnswer: 2*(x - 65)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 4:38 PM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15927 and 7.15.\nAnswer: 113878.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -45 - 40 + 83 + 36*v. Let z(m) be the third derivative of -m**4\/8 + 14*m**2. What is s(z(x))?\nAnswer: -108*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - 12\/3 - 3940\/(-5). Suppose -366 = 2*f - l. What are the prime factors of f?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/6 and -45\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o - o - o)*(12 + 2*o**2 - 21*o + 21*o) + 0 + o**3 + 0 to a*o + t*o**2 + v*o**3 + d and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*r**2 - 184*r**2 - 158*r**2 - 20*r**2.\nAnswer: -318*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49686?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -11*p - 25. Let o be g(9). Let m = 177 + o. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -42 + 48 - (-7)\/(-1). Which is smaller: p or -11\/9?\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 673022 = -4185. Let l = 1731163 + k. What is l rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.5 + 1.6. Let x = f - 8.1. Let z(y) = -4*y + 24. Let l be z(6). Which is the third smallest value? (a) -4\/7 (b) 4 (c) l (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2222 - -4?\nAnswer: -2214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -701 - -701.01596. Round h to 3 dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 46 (c) -1.4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -a - 3. Suppose 4*k + a*u = 12, k - 3*u + 8 = -4. Suppose -2*o + 1 + 5 = k. Solve 3*b = 4*b + o for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 3059, 3.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -459 + 25*v + 459 to the form r*v + l and give r.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 818871016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 11:09 AM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4152547739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 132 and 5832.\nAnswer: 64152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35462 - 35441. What is the remainder when 4931 is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 4*j**2 - 4*j - 7. Suppose -3*c + 12 = -2*c. Let b be 15\/(-2) + 7\/14. Let o = b + c. Determine g(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*s**2 - 39*s**2 + 7 + 4*s**2 + 25*s**2 + 108*s**2.\nAnswer: 59*s**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 313372 and 78500.\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154845.\nAnswer: 3, 5, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-18630)\/184)\/(15\/12)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-34)\/(-9) - (-2)\/9. Let d be (-2)\/4 - (-27)\/(-6). Let y(k) = -k**3 - 6*k**2 - 6*k + 3. Let f be y(d). Calculate the greatest common factor of v and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 1d7?\nAnswer: 1d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o. Let l be v(1). Let g = l - -2. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55953 + 55957. Let m(l) = l**2 + 5*l. Let k = -1 - -4. Let g(f) = 5*f + 3. Let j(s) = -4*s - 2. Let x(h) = k*j(h) + 2*g(h). What is d*m(i) + 10*x(i)?\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 205757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191184*u + 496 = 191153*u for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -20, -23, -28, -35, -44?\n\"Answer: -o**2 - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 96.2 + -96. What is the fourth biggest value in 4, 5, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 133 - 234. Let p = 100 + z. Calculate the smallest common multiple of (p + 6)*(-3)\/6*-10 and 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 20*w**3 + 13*w**2 - 16*w + 59. What are the prime factors of x(8)?\nAnswer: 11003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1089478 is divided by 7368.\nAnswer: 6382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 1\/5 (b) -1\/5 (c) -72 (d) -3 (e) -4 (f) 11\/13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/48*2*-32.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of f**5\/20 - 7*f**3\/2 - 6*f + 6. Let a(w) be the first derivative of r(w). What is the second derivative of a(d) wrt d?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 3. Suppose d - 2*p - 145 = 0, u*d + 4*p = p + 426. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 143838684 divided by -1452916\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -13*x**2 - 4*x + 5. What is t(1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21801 = s - 2*o, -o + 0*o + 109093 = 5*s. What are the prime factors of s?\nAnswer: 21817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -3*l - 42. Let v = 65 + l. What is the greatest common factor of v and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12418 + -12413. Which is the second biggest value? (a) p (b) 0.3 (c) 174\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5257380 is divided by 242.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (143\/(-2))\/(8\/(-16)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8567*o - 46*o**3 + 2*o**3 - 4282*o - 4285*o.\nAnswer: -44*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 0, 5, -1.\nAnswer: -39, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 25*c**2 + 30*c. Let k(l) = 13*l**2 + 15*l. Let p(j) = 3*h(j) - 5*k(j). What is the second derivative of p(v) wrt v?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (-252064)\/126 - (-36)\/(-162). Let l = j - 1995. Let x = -11\/93 + -6209\/186. Find the common denominator of x and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-50)\/(-14) - (-24)\/56. Let g be (3\/j)\/(14\/168). Calculate the greatest common factor of g and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 q when two letters picked without replacement from {j: 3, q: 2, x: 1, l: 1}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.12 - -0.12. Let h be 2\/(-16)*-22 - 2. What is the nearest to -0.1 in -1\/4, h, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 737944.02ns in hours?\nAnswer: 0.00000020498445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26707 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -a?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -291*m - 290*m + 577*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 856370431?\nAnswer: 7, 23, 199, 26729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.3 + 0.7. Let y = 4.1 - g. Let o = -0.548 + 0.048. What is the nearest to y in 1, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 - (-23 + 19 + 12 - -20).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 d when two letters picked without replacement from mmmdd.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.9 + 1.76. Let o = -0.24 - k. Which is smaller: -15 or o?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 340 or -19.73?\nAnswer: -19.73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5*g - 155*g**3 + 156*g**3 + 2*g + 3*g**2. Let i(f) = -2*f**3 - 4*f**2 + 4*f. Determine 3*i(m) + 4*x(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 739*q - 432*q - 741*q + 1465*q + 123*q**2.\nAnswer: 123*q**2 - 447*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1883280 and 210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -5*s - 24 + 18 + 10. Let v = 9 - 13. List the prime factors of t(v).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19616554 is divided by 354.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/35*((-6)\/(-10))\/((-864)\/1800).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p**2 + 11*p + 8. Let y be m(4). Suppose -390980 = r + 5*q, -12*r = -8*r - y*q + 1564016. Round r to the nearest ten thousand.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66 - (-84 + -86 + 96)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -o - 7 - 1, 2*o - p = 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -4818\/2485?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 243\/19 in -29, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-7 - (8 + -15))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 10*p**2 + 1. Let y be j(9). Let g = 83 + y. What is the second smallest value in g, -2, 0.2, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63 - -100. Let t = m + 18. Let y = t - 55. Which is the nearest to 0? (a) y (b) 40 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/31 (b) 4 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 27?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in -95296, 0.3, -48\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/6 - (-1156)\/102. Solve 0 = 5*f + 2*q - v, 4*q - 17 = -3*f + 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(1 - 5\/3). Suppose 45 = f*h + h. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 785 divide 63470390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y = -18*y + 100. Suppose 0 = -a + 3*l + y, -a = -0*a - 5*l - 30. Let v(k) = k - 1. Let i be v(5). Solve -6 = -a*q + i for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 622 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9225, 8763, 8305, 7851, 7401, 6955, 6513?\nAnswer: 6075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(4\/(-3)) - (22 + 10). Is -28 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 5*w**2 + 664*w + 16130. Give r(-32).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 622?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16\/35 + 2\/35. Suppose -3*i = 2*o + 9, -4*o - 2*i + 0 = 6. Which is smaller: o or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a kilometer in meters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 - 136052*g + 136056.\nAnswer: -4*(g - 1)*(g + 34014)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + y + y)*((-y - 2*y + 2*y)*(4*y**2 + 2*y**2 - 4*y**2) + 0*y**3 - 2*y**3 + y**3).\nAnswer: -6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times 174?\nAnswer: 6.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -56 in 2, -66, 3\/19, 5?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/2 + 7 + 8. Suppose j = 2*v + 8. Let k(i) = -i + 19. What is the lowest common multiple of k(12) and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24711206 divided by -5251.\nAnswer: -4706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -216796, -433454, -650112, -866770, -1083428?\nAnswer: -1300086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*z**3 - 4*z**3 + 2*z**4 + 2*z**2 - 1 - z**4 + z**4 + 17*z in the form s*z**4 + m + l*z**3 + x*z + h*z**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -270*c + 6. Let r(a) = -2*a + 2. Determine j(d) - 4*r(d).\nAnswer: -262*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 1024011 = -1423989. Round t to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -29 - 3*v - 21 + 37. Let w be c(-5). Suppose 892 = 3*d - 4*x - 18, w*d - 610 = x. Is 51 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zdzdydyz. What is prob of picking 1 z and 2 d?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -8*z - 1. Let x(b) = 9*b + 2. What is -3*j(l) - 2*x(l)?\nAnswer: 6*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 59 = 10*r - 11, -f + 5*r = -16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1888 - 841. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4*g**2 - 4*g + 1. Let c(a) = 1. Calculate -6*c(d) + j(d).\nAnswer: -4*d**2 - 4*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k - 1698*k**2 + 0*k + 16 + 1623*k**2 - 2*k + 2*k**3 in the form v*k**2 + c + z*k + p*k**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5122 - -5124. Which is the nearest to t? (a) -6 (b) 1 (c) 0 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1739*j**3 - 2554*j**2.\nAnswer: -10434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 7:22 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3398013*d**2*u**3 - 1235*d*u**3 + 9*d*u - 2*d + 4*u**2 - 4 wrt d?\nAnswer: -6796026*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 294*o + 21. Let p(i) = -i + 74. Calculate m(p(v)).\nAnswer: -294*v + 21777","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -g**4\/12 - 25*g**3\/6 - 19*g**2\/2 + 63*g. Let w be s(-24). Solve w - 2 = 3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 61166237 + -0.2.\nAnswer: 61166236.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 727 + -1168. Let x be 4\/14 - 25750\/(-35). Let c = w + x. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5812357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 25*c - 3 + 19 - 5. List the prime factors of i(3).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -12. Differentiate -6*i**3 + f - 87*i + 87*i wrt i.\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 176874480 by -788.\nAnswer: -224460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/2 - (13 + -14). Suppose p - 126 = 6*p - 2*l, 0 = -s*p - 4*l - 84. Let y = -19 - p. Are 5 and y nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1406.29 - -1387. What is z rounded to 0 decimal places?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 248594 to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3 + 11 + 11*w**2 + 18*w**2 + 5 wrt w?\nAnswer: 58*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4 - 9 + 2 - 6*t + 3*t. Let f be o(-4). Suppose 3*k = s + 2*s - 9, s + 3*k = 3. Solve s*v + 0*v - f = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 606\/(45\/50*10\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = 6*l + 6. Suppose 0*k = k - 2, 43 = l*r - 4*k. What is the smallest common multiple of 8 and r?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 195.\nAnswer: -1\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 4*b - 272, 0*b + 3*b = g - 151. Suppose z = 4*v + 95, 31*z - g = 29*z - 4*v. Is z greater than or equal to 78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -22. Let v = 0 + -1\/4. Which is the third biggest value? (a) v (b) 1\/4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2 = -2*y - 0, 3*h + 2*y = 2. Let n(m) = -1 + 0 - h*m + 0*m. Let p(t) = -t**3 - 4*t**2 + t + 1. Let g be p(-4). What is n(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**38*v)\/(v**(-15)\/v)*((v\/((v\/v**5)\/v))\/v)\/(v\/v**(-4\/5)) assuming v is positive.\nAnswer: v**(296\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*d + 19 = 55, 4*f = d - 108. Let s = f - -26. Solve 3*r + 3 + 6 = s for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 272643408 divided by -639.\nAnswer: -426672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*q - 504 = 19*q. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 14\/33, 0.13, -2\/43, 48?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(10*(-21)\/63792750). Round j to the nearest one hundred thousand.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 144*q - 141*q - 1644. Let t = q - 543. Let s(l) = l**2 + 2*l - 1. Give s(t).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.99 - -0.01. Let r = 555 + -551.1. Let f = r - n. Which is greater: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 26\/(-91) - (-12)\/(-7). What is the second biggest value in q, 3\/5, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*b - 798 - 4008 = -19*b for b.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22551231?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 191 + -302. Let r = n - -226. What is the remainder when r is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -507 - -69. Let o = 440 + g. What is the closest to 1 in o, -6, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52e (base 15) in base 11?\nAnswer: 973","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 16*u**2 - 65*u + 7. Let i(r) = -2*r**2 + 22. Let j be i(-4). What is the units digit of k(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1762940484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, v: 5, f: 1, m: 2, z: 3, s: 1}. What is prob of sequence vs?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43 + -40?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**8\/48 - 13*a**5\/20 + 21*a**2 + 43*a. Let f(c) be the first derivative of o(c). Find the third derivative of f(s) wrt s.\nAnswer: 420*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d - 13. Give s(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1159, -16, 17, 2, -2 in descending order.\nAnswer: 1159, 17, 2, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -0.11, -0.3, 22\/2667?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -536, -575, -616, -659, -704, -751?\n\"Answer: -l**2 - 36*l - 499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.018 - -0.282. Put -4, j, 5, -1\/3 in descending order.\nAnswer: 5, j, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.13 and 161336.\nAnswer: -20973.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**5\/5 - 226*s**4\/5 + 2594*s**3\/5 + 674*s**2\/5 - 7348*s\/5 - 1040 = 0.\nAnswer: -1, 2, 13, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 729600 is divided by 3411.\nAnswer: 3057","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 84*c**6 - 125892*c**3 - 35344157*c**2.\nAnswer: 10080*c**3 - 755352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2550601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence asaa when four letters picked without replacement from {s: 4, h: 2, a: 4, x: 1}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 0 + -12 - (2 + -8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 318 + -318. Suppose p = 3*z - 16, 5*z - 40 + 14 = p. Solve 11\/10*y**3 + 7\/10*y**z + 1\/5*y**2 + 8\/5*y**4 + d + 0*y = 0 for y.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of 0*o + 0*o**5 + 0 + 6*o**2 - 1\/30*o**6 + 0*o**4 - 7\/6*o**3. Differentiate x(p) wrt p.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 292, 275, 240, 181, 92?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 11:39 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -290\/63 + 2441\/630. What is the common denominator of x and -43\/50?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2026 + -4?\nAnswer: -2032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.08 - -0.08. Let h = 29 - 17. Let q be h\/9*2\/(-4). Sort b, q, -0.2.\nAnswer: b, q, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 32 = 4*j, 0 = -4*j + 3*m + 17 + 13. Let f = j + 47. Is f a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40625 = 8*c - 21*c. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -28*z**2 + 141*z + 2 - 4 - 138*z. Give h(1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/48*1 - (-2656)\/1992?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -177*d + 1489. Is t(-24) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/4 + 10386\/4. Suppose p = 5*w - 854. Is 6\/(-4)*w\/(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 52\/(-1300) + 78302\/50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4266667*u + 7. Let h(b) = 4266667*b + 8. Let d(i) = 6*h(i) - 7*n(i). Let y be d(-3). Round y to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((-1*(sqrt(38) - (sqrt(114)\/sqrt(3) + sqrt(38))) + -3*-1*sqrt(38))*-3)\/((sqrt(2) - sqrt(10)\/sqrt(5)*4) + sqrt(72)*2))**2.\nAnswer: 349\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226686.\nAnswer: 2, 3, 37781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 8:47 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 319 - 207. What is the common denominator of (2 - (-175)\/z) + -1 and 57\/80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14763 is divided by 211?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 0 + 13*j + 7\/12*j**4 - 7\/10*j**5 + 0*j**2 + 0*j**3. Find the third derivative of p(o) wrt o.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m + 6. Suppose -2*y + 3*r + 12 = 0, 3*y + 0*y + 5*r = -20. Let w be l(y). Suppose -w*f + 5*f + 6 = 0. Solve -f = a + a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**3 + 14*z**3 + 5*z**3 + (-2*z**3 + 3*z**3 + z**3)*(-4 + 2 - 2) - 21*z**3 - 9*z**3 + 4*z**3 in the form p*z**3 + j*z**2 + d + r*z and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6670 divided by 58\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*z = 281*z - 165*z - 74. Suppose 3*y = 5*h - 19, -2*h = -5*y - 3*h - 13. Let s be y\/(-20) + 3\/12. Which is the nearest to 0? (a) s (b) z (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8348.0000003419 + -8348. Round c to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + n - 4. Let p be r(0). Let u be (-2)\/2 + p + 6. Calculate the remainder when 56\/(3 + 1)*u is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 6, w - 57 = -4*h + 9. Let s = 21 - h. Suppose -20 = s*j, 606 = 2*z + j + j. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-228)\/72 - (-1)\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 207 (base 15) to base 9\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 18 = -2. Let g = 1 - p. Find the third derivative of 0*c**5 + c**5 - 3*c**2 - 3*c**g wrt c.\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 4. Suppose -4*s + 22 = 3*v, -y*v - 1 = s + 2. Suppose z + 24 = 4*u + 4*z, 0 = 3*u - 4*z + s. Solve -u*w - 1 = 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.5936428 to one dp.\nAnswer: -6.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 2)*((-4 + 4 + 1)*(-12 - 7*f + 12) + 0 + 0 - f) to the form h*f + w and give h.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 21436*n**4 + 1277956*n**3 - 24733632*n**2 - 212400*n = 0.\nAnswer: -75, -2\/233, 0, 354\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (5817\/1662)\/((-427)\/(-4))\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 3*p**4 + 70*p + 86*p - 11*p**2 - 16*p**3 + 4*p**2 - 156*p to i*p**4 + y + h*p + s*p**3 + f*p**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 140 = -5*h, -h - 2*b - 34 = -2*h. Calculate the remainder when 37 is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 12\/25 of a tonne?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53*o**4 - 2511*o**2 - 1554*o + 17.\nAnswer: 636*o**2 - 5022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 2*n + 2210, -5*n + 6*n - 2195 = -5*i. Is 26 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 275, 129, -113, -451?\nAnswer: -885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(-2)\/(1 - -1). Suppose -5*m + 24 = -l, 5*l + 0 + 24 = m. Suppose 5*n - 3*p - 10 - 68 = 0, -m*p - 19 = -n. Solve -5*x + t*x + n = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3201 - 3200.262. What is i rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-3) - (-91)\/3. Suppose 122 + b = 4*p. Suppose 2*x - 6 = 5*o, -p = -x - 3*x - 3*o. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 7, -0.1, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - m**2 + 3*m + 7. Let o be d(-3). What is the highest common divisor of 8 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -664\/13, -0.2, 14\/11, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4, -51, -152, -325, -588, -959, -1456?\n\"Answer: -3*u**3 - 9*u**2 + u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, h: 5, f: 1, i: 2, g: 2, y: 2}. What is prob of sequence gg?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -142, 1\/5, -5 in decreasing order.\nAnswer: 1\/5, 0.1, -5, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -287 + 454. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*l + 20 - 92*l + 1 + 182*l.\nAnswer: 2*l + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 110 + -110. Suppose s + k*f = 2*f + 449, -4*s + 1806 = -3*f. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-9) - 3)\/((-10)\/(-12))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3 - 0. Suppose v*p + 40 = 7*p. What is the smallest common multiple of p and -84*(5\/(-2) + 3 + -1)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -241 + -12011223?\nAnswer: -12011504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = n - 2*n. Suppose n*c = 8*c + 16. Calculate the remainder when 58 is divided by c\/(-3) + (-312)\/(-36).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 8*f + 9. Let s(p) = -7*p - 9. Calculate 3*s(n) + 2*v(n).\nAnswer: -5*n - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -469 + 667. List the prime factors of o.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 6*d - 68 = 0. Let g = d - 12. Solve -y = 3*m - 5*y + 11, 31 = 2*m + g*y for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/165*12*15\/(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of m**6\/60 - m**5\/15 - m**4\/3 + 8*m**3\/3 - 2*m**2 - 18*m. Solve i(q) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 573 - 2548. Let q = -4316\/11 - m. Let i = 3774 - 22709\/6. Calculate the common denominator of i and q.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1 + 640.308?\nAnswer: 642.408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -2 - (-11 + 9 - -3)) + -7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(5\/4))\/(u**(4\/3)\/u) assuming u is positive.\nAnswer: u**(-7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**2 - 74*i + 152 = 0.\nAnswer: -76, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**3*v**3 - 204*g**3*v + 147*g*v**3 + 2*g*v - 2*v**3 wrt v.\nAnswer: -6*g**3*v + 882*g*v - 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.018 in 2, 0.05, -0.45?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 - 45 - (14 - (9 - -25)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*q + 6*q + 8*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 54037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11022 divided by -67.\nAnswer: 11022\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 916, 1706, 2488, 3262, 4028, 4786, 5536?\nAnswer: 6278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54000012 = 5*s + 4*r, -5*s - 5*r - 43200015 = -s. What is s rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -89, -116, -143, -170?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*o = -4*n + 12, -3*o = 3*n - 9. Solve o = -3*q - q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27418209 + 157874980 = 145*t - 97220316. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 788 or 7\/2?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -55, -84, -133, -202, -291?\n\"Answer: -10*q**2 + q - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b = -10*b + 4*b. Solve b = 14*f - 2*f + 12 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(((-205)\/(-82))\/(25\/20)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 62?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001886113 rounded to five decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1764, 3\/5, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 163007745 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: Is 8814239053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/9 + 14\/6. Let r(s) = -3*s + 1. Let m be r(1). Let j = m - -3. Calculate the greatest common divisor of t and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 154634*b*k*l - 4*b*k*n - b*k + b*l + 17*b + 112*k*l*n + 2*k*n - l*n - 1067*n + 6 wrt l?\nAnswer: 154634*b*k + b + 112*k*n - n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -223.22 (b) 0.5 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45006014*w**3 - 10955197*w?\nAnswer: -270036084*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 6 = -2*j, -2*j - 1026 + 1012 = 4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29 or 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28678 bigger than 28895?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210002 - -2?\nAnswer: 210011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23029 is divided by 7675?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 45600.\nAnswer: 91200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 485185133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, p: 7}. Give prob of picking 2 p and 2 t.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281155232?\nAnswer: 2, 29, 302969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59*c**5 + 166*c**2.\nAnswer: -3540*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 92503976*h**4 - 177*h**2 - 5*h - 1226.\nAnswer: 2220095424*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -223 - 220031?\nAnswer: -220320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 25*s - 6. Is 23 a factor of x(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -68.076 and 2.532?\nAnswer: 70.608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 s when two letters picked without replacement from {x: 3, g: 2, s: 1, l: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 5941012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + -1 - 8\/((-48)\/199134). Suppose -f = -301*p + 300*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 24 = -4*k, -6*w - 6 = -w + 4*k for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14853\/5038 + -168\/229. What is the common denominator of ((-14)\/36)\/((-2)\/(-10)) and o?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in -2\/13, 0, 288.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/2)\/y**(-10)*(y\/(y**(2\/9)\/y*y*y)*y)**(1\/10) assuming y is positive.\nAnswer: y**(431\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/7)*g*g)**5)**(-10) assuming g is positive.\nAnswer: g**(-750\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26283857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*z - z, 5*z - 27 = -2*s. Let l be -5 - -20 - (-1)\/s. What is the first derivative of -6 + l - 13 + n**4 wrt n?\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-1*sqrt(288))**2 + 1 + (sqrt(288) - sqrt(288)*2) + 0) + ((sqrt(288) + 1)*-2 - (-4 + sqrt(288)*3))**2.\nAnswer: -204*sqrt(2) + 6337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(648)*5)\/(sqrt(36) - (2*sqrt(144) - sqrt(144))))**2.\nAnswer: 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -59554, -119125, -178718, -238345, -298018, -357749?\n\"Answer: -2*r**3 + r**2 - 59560*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1704452 and 134562.\nAnswer: 5113356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/102 and -101\/16?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12951 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (3816\/1507320)\/((-1)\/10)?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a gram in milligrams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-1))\/(-5 - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*w + 17*w - 17*w)*(-78 + 78 - 3*w)*(2*w - 2 - 3*w + 3*w).\nAnswer: -66*w**3 + 66*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1215611 * 5.\nAnswer: 6078055","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 7:49 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 210, -9628, -19466, -29304, -39142?\n\"Answer: -9838*q + 10048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/12 and -11\/456.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (91\/14)\/(3\/108). Let j = -81 + o. Which is smaller: 152 or j?\nAnswer: 152","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/8 - 15*l**2 - 629*l\/2 + 690.\nAnswer: -(l - 2)*(l + 30)*(l + 92)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 0.2, 3, -96, -0.02?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1896\/87029 or 0?\nAnswer: 1896\/87029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -2 - (59 - 68)) + 10?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 1. Let a be (n*(4 - 4))\/2. Suppose -2*v = -2*w - 0*v + 2, w + v + 1 = a. Solve 2*y + 3*y = w for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84 by 5.\nAnswer: 84\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/12 - 9326\/(-56). Let i = d - 161. What is the common denominator of -41\/7 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.036, 0.04, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46357442.\nAnswer: 2, 193, 120097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -0.3, 0.0758, 1\/7, -2\/13.\nAnswer: -29, -0.3, -2\/13, 0.0758, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12\/47 - -2985\/94. Let n(v) = -5*v**2 + 3*v + 2. Let y be n(-2). Let q = y - -48. Calculate the common denominator of f and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 2:39 AM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -8*0.34\nAnswer: -2.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 34*r + 67 = -b + 55*r - 22*r, -4*b + 10*r + 250 = 0 for b.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -163*q**2. Let s(b) = 3*b + 22. Let y(r) = -r - 8. Let z(h) = -4*s(h) - 11*y(h). Give n(z(o)).\nAnswer: -163*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2241, -4493, -6745?\n\"Answer: -2252*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4890\/(-1304)*(-1)\/(-5)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 427856 to the power of 1\/2, to the nearest integer?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 a when three letters picked without replacement from abayybyaaba?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/2250*18)\/(2\/(-5))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-114)\/(-95)*5\/4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18558 = -1692*l - 6876 + 15390 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2083998 = -4*v - 0*v - 2*y, -5*v - 2*y + 2604998 = 0. What is v rounded to the nearest 10000?\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-3 - (-344)\/116). Let u be 1\/(-5 + 1) - (-351)\/12. Let f = u + l. Solve f = 2*n - n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -261*i - 371. Determine r(-2).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 79 + -78. Suppose -4*s = 20, -2*l + s = 3*l - 110. Let z be (75\/l - 4)\/((-4)\/14). Sort z, a, -5.\nAnswer: -5, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8850992.3 rounded to the nearest one thousand?\nAnswer: 8851000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 + 3*y**2 - 5*y**2)*(-31*y**2 + 4294*y + 60 + 29*y**2 - 4290*y).\nAnswer: 4*y**4 - 8*y**3 - 120*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c - 2 + 0*c + c**2 + 2*c. Let o be p(-4). Suppose -4*y - 8 = 4*s, 7*s - y = o*s + 14. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(5\/4)\/l)\/l**12*l**2*(l*l**(-9))\/l assuming l is positive.\nAnswer: l**(-75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 10*h + 1. Let z be k(4). Which is bigger: 40 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -505*k**2 - 161*k wrt k?\nAnswer: -1010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 2*s**2 + 3*s + 8. Suppose 0*v = -9*v - 45. List the prime factors of h(v).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 + 8*o + 4. Suppose 5*s + 12 = 2*s + 3*z, -5 = s - 2*z. Let u be m(s). Which is the nearest to 0? (a) u (b) 0.1 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7314.5288 to 0 decimal places.\nAnswer: -7315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 4*p + p)*(1 - 3 + 4)*(5*p - 4*p + p).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 4. Suppose j*h + 563 = m, 3*m + 3*h = -m + 2290. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10523359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/4, 2\/37, 3, 9\/284, 4\/5, -0.5, 3\/4?\nAnswer: 9\/284","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-14)\/21)\/(4\/(-30)). Let d(l) = -l**3 + 6*l**2 - 2*l. Is d(w) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1333013113 (base 4) in base 9?\nAnswer: 873184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 3*y**3\/2 + 7*y**2\/2 + y. Let n be s(5). Let v be ((-3)\/(-9))\/((-1)\/(-39)). Calculate the highest common factor of v and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (214\/535)\/((-6)\/75). Let j(f) = -6*f**3 + 6*f**2 + 5. Let d(z) = -4*z**3 + 4*z**2 + 3. Let p be 50\/6 - 2\/6. Calculate p*d(m) + x*j(m).\nAnswer: -2*m**3 + 2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 9*p**2 - 73*p + 1. Determine b(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 226 + 3032. Is f a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 1\/31, 2?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -5*q + 4*y, 4*q + 10 - 24 = -3*y. Let k be (132\/16)\/(q\/20). Let f = k + -16. What are the prime factors of f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + ffda7?\nAnswer: ffda2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one halves of a kilogram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(5*m**4 - 2*m**4 + 6*m**4) + 2*m - 2*m + m**4 + 0 + 0 + m**4 + (0*m**2 - 6*m**2 + m**2)*(38*m - 38*m + 14*m**2).\nAnswer: -77*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 0.46 (c) 0.4 (d) -12 (e) 550\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-107 - (-18 - 30)) + 83\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 1, -32, -73?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55)\/(1245640\/(-228))*(-8)\/6?\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 881032, 881047, 881072, 881107?\nAnswer: 881152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/156 and 89\/364?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*i - 43 + 48*i - 64*i to the form q + m*i and give q.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w = 24*w - 16 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 6*t**2 - 17*t + 13. Is v(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -r**4 - 4168*r**2 + 4232 wrt r?\nAnswer: -4*r**3 - 8336*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + ((48\/180)\/(-4))\/((-12)\/(-1410))?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 8*a**2. Let x be (4 + -10)\/(-3) + 0. Let m(f) = -11*f**2 - 10*f**x + 18*f**2. Calculate m(d(u)).\nAnswer: -192*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -16) + -18 + -2 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2301 or -2299?\nAnswer: -2299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 70.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/4, 2\/563, 2, -0.1?\nAnswer: 2\/563","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 199 - 206. Put 4, -1, c, 0.5 in decreasing order.\nAnswer: 4, 0.5, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -79 + 275. Let i = -198 + h. Which is smaller: i or -14\/5?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1124798 and -0.18?\nAnswer: -202463.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 + 51620*b**2.\nAnswer: 5*b**2*(b + 10324)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 87483 and 1701942?\nAnswer: 18721362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 272456203?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*(-3*(sqrt(320) + 4 + -4))**2*-4.\nAnswer: -11517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 5877*d - 25. Give w(0).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-35))\/(((-4)\/5)\/(-2))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*((x\/x**(1\/4))\/x)\/x)**50\/(x**(-2\/3))**26*((x\/(x*x**(-4)))\/(x\/((x\/(x\/x**4))\/x)))\/(x\/(x\/x**1)*x\/x**(-2\/17)) assuming x is positive.\nAnswer: x**(889\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 - 6*r**2 + 4*r**3 + 5*r**2 + 10*r**3.\nAnswer: 14*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 6236370?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -331, 2, 5 in descending order.\nAnswer: 5, 2, -331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.0533 - -0.4533. Is o less than -2\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-2 - (30 - 6) - -91)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -4. Let c be i\/70 - (-6)\/15. What is the second smallest value in 5, c, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*y - 11*y**2 - 73*y**2 + 28 - 28.\nAnswer: -84*y**2 - 44*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1018 - 2067. Let r = 1146.8 + m. Let g = 98 - r. Which is the closest to 0? (a) -0.1 (b) g (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 5*b - 15. Let s be v(4). What is the nearest to -0.5 in -0.5, -1, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 537380 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l - 1. Let q be u(5). Let x = q + -5. Let a be 76\/494 + (2\/(-13) - 0). Sort x, a, 25, 1 in ascending order.\nAnswer: x, a, 1, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*t - t = 30. Calculate the lowest common multiple of t and 250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 865b + -3b44?\nAnswer: 4817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1611973\/20 + 80579. Let p = 13809\/4 - 3433. Let c = x + p. What is the biggest value in c, -3, -0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221012101111 (base 3) to base 4.\nAnswer: 1321012003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262*r = 265*r + 954. Which is the closest to r? (a) -3 (b) 4 (c) 0.5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 742\/(-280) - 18\/30. Let w be 150\/36*32\/(-155). Let a = w + 6\/31. Which is greater: j or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 814 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13364*n + 26733*n - 2*n**2 - 13369*n.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 54 - 154 - 41 + 523*t**2 - 100 wrt t?\nAnswer: 1046*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24893 + 41001. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 118557?\nAnswer: -11855a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-4)*53*2. Suppose -3 + q = 5*j. Let m = 19 - j. What is the smallest common multiple of m and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 443 + -442.941. Which is greater: p or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 7:01 PM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 2 = 22, -9 + 1 = w + 3*o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from iiiiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -191 + 200. Let h(m) = -m + 3. Determine h(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 223.3 + -223. Let c be 10\/10*3\/7. What is the closest to 0.1 in j, -0.13, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8066, -8218, -8370?\nAnswer: -8522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5042 + -5034. Let w = 45 + -21. What is the greatest common factor of w and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 71.057 + -71. Round h to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 121*k**2 + 1298*k + 170. Calculate j(109).\nAnswer: -920","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2180588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) - (3 + sqrt(108) + 0) - -4*sqrt(108)*2 - (-1 + sqrt(108))*-3*6)**2.\nAnswer: -6552*sqrt(3) + 73449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -235, -874, -1943, -3442, -5371, -7730?\nAnswer: -10519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - c + 2805 = 0, -2*n + 216*c - 219*c = -5605. List the prime factors of n.\nAnswer: 2, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 874 is divided by 628?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 1 - 2 - 3*l - l**2 + 4. Suppose 3*v + 4*s = 21, v + s = 28 - 22. Suppose -12*g + 5 = b - 13*g, 4*b = v*g + 17. Calculate w(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -107\/14 + 418\/35. Find the common denominator of -53\/28 and i.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.348985 to 2 decimal places.\nAnswer: 1.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48884, 0, -97 in increasing order.\nAnswer: -48884, -97, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 17\/2 of a microgram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/1 - (-78 + 86). Let t(g) = 32*g**3 + g**2 - 2*g + 1. Calculate the remainder when t(w) is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 243, 673, 1483, 2793, 4723?\nAnswer: 7393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**2 + 5554*u - 3727340 = 0. Calculate u.\nAnswer: 1135, 1642","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*c**3 + 59*c**3 + 0 - 5 + 59*c**3.\nAnswer: -13*c**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 114 in 0.5, 179, -3, -0.4?\nAnswer: 179","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -y**2 - 6*y + 10. Calculate q(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3227 - 186302. Let r = j - -189557.0046. Let p = -28 + r. What is p rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5*x - 1 = 1, 4*m - x - 4 = 0. Let q(o) = -2*o**2 - o. Determine q(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -642?\nAnswer: -642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12681050?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44)\/(-66) + (-4)\/6)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 - 67 = -12*n. Suppose -n = -4*r - 0*r + k, -3*k = 3*r. Solve 0 = r*w + 4*c - 2 - 8, 3*c = 2*w - 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -684 + 684.1. Let g(v) = -v**3 - v**2 - 2*v - 2. Let u be g(-1). Sort 2\/41, u, o in decreasing order.\nAnswer: o, 2\/41, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 231956781, 463913560, 695870339, 927827118, 1159783897, 1391740676?\n\"Answer: 231956779*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12238123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9.7 (b) -133 (c) -1 (d) 5 (e) 1 (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*z + 6*z. Suppose z*y + 10 = 4*y. Which is the nearest to 0? (a) 0.1 (b) -1\/9 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, q: 3, t: 7}. What is prob of sequence qqq?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(153)*-3 + sqrt(153))*-2)\/((sqrt(144) - sqrt(144)*3 - sqrt(144))*-6).\nAnswer: -19*sqrt(17)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 47, 90, 135, 182, 231, 282, 335?\n\"Answer: m**2 + 40*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -23311 divided by -5\nAnswer: 23311\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/1 - (-17 + 5). Suppose -q + s = -4*r - 3*q, -2*r - 2*q - 10 = 0. Which is the closest to 7? (a) -2\/11 (b) 5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/6*15\/(-2). Let q = t + 11. Suppose 3*f - 42 = -4*n, 4*f + n = q + 68. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2527 - 0.2318. What is t rounded to two dps?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 4:12 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1539 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2896381743?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32072638 is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -15. Let w be x\/20 - 24\/(-15). Suppose -d + 1 = 4, -2*f + w*d = -54. Calculate the highest common divisor of 60 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 307 - -2a8772?\nAnswer: 2a8a79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*i**2 - 1043 - 6*i - 28*i + 1043 + 177*i in the form p*i**2 + d*i + k and give d.\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 421673?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 15, -10, -33, -48, -49?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a + 239?\nAnswer: 20b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6013*j**3 - 12127*j**3 + 6112*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*r - 1. Find the third derivative of 2*n**r - 3*n**6 + n**6 - n**6 wrt n.\nAnswer: -360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-60)\/36*10\/125. Which is the second biggest value? (a) 12 (b) -1\/2 (c) -2\/7 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1806 and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13710380*y**4 - 5*y - 897011 wrt y.\nAnswer: -164524560*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**1*a*a*a)**25\/(a**(-1\/3)*a\/(a*a*(a**(1\/2)*a)\/a*a)))\/((a**(-1)*a)**(-28\/9))**(1\/29) assuming a is positive.\nAnswer: a**(617\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 11) to base 2\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 - (9 + -43131 + 10). What is the greatest common divisor of 14 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1657\/7 or -237?\nAnswer: -237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 22*h**3\/3 - 7*h**2\/2 + 37*h - 202. What is the units digit of x(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of l**4\/8 - l**3\/3 - 3164*l**2. Let i(h) = h - 1. Determine 4*i(y) - p(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 4*j = 20, 0 = j - 15 + 14 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-6)*14\/(-7)*(-3)\/(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 8 = -0*x. Suppose 5*h = -z + x, 8 = 2*h - z - z. Suppose 5*p + 4 = -3*a, 5*a + 5*p - h*p = 20. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 times -0.1\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from icclyyekl. What is prob of picking 1 e, 1 y, and 1 i?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10107187 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 255, 417, 499, 507, 447, 325, 147?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.3 + -0.5. Let z = j + -1. Which is the biggest value? (a) -2 (b) -0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 179 + -178. Suppose 14*n + 4*q = 13*n + w, -4*n + 4 = -3*q. Let h(p) = 2*p**2. Calculate h(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of 2*x**3\/3 + 171*x - 9. Let a(q) = 170*q**2 - 2. Determine k(a(p)).\nAnswer: 680*p**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 51800861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of 1\/2*g**4 + 0 + 0*g**2 - 6*g - 2\/5*g**5 + 0*g**3. What is the third derivative of q(h) wrt h?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32? (a) 2 (b) 2\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/147*3 + 47310\/(-1995) + 11*-1?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/10*4\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 228248747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 152, -7, -5, 3, 0 in increasing order.\nAnswer: -7, -5, -2, 0, 3, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2845043.17 rounded to the nearest one hundred thousand?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 287746410.\nAnswer: 287746410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48882743?\nAnswer: 7, 13, 5903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 20, 75, 224, 515, 996, 1715, 2720, 4059?\n\"Answer: 8*u**3 - u**2 + 2*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10327, 20675, 31019, 41359, 51695, 62027?\n\"Answer: -2*o**2 + 10354*o - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -960 + 971. Suppose 238 = a*g + 194. Solve g*c - 3 = 7*c, j - 4*c = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-2\/23)\/r)\/r*r**(1\/3)\/r*(r*r**(-4))\/r**(-1)*(r**(-1\/3)\/r)**27\/((r*r**0)\/r)**(-15) assuming r is positive.\nAnswer: r**(-2743\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (1 + 4 + -7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8028678 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - -32 - (7 + 0) - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4*-4*(2 + sqrt(567) + 1 + 3) + -4)**2 + 0.\nAnswer: 28800*sqrt(7) + 155156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6*u**2 + 9*u - 16. Let a(r) = r**2 + 2*r - 3. Let c(d) = -11*a(d) + 2*o(d). Let t be c(4). Let p = t + 7. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -20 (b) -0.3 (c) 0.1 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -l*s*v + 41186*l*s - 2*l*v**2 + 183*l*v + s*v**3 + 17*s + 2*v**3 - 67*v**2 + 14 wrt s.\nAnswer: -l*v + 41186*l + v**3 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 336.8948 kilometers to nanometers.\nAnswer: 336894800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3128003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 16304.\nAnswer: -1\/4076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 264 and 672?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/24 and -85\/108?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1581*j - 1609*j - 2*q + 70, 2*j + 10*q + 97 = 5*q for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5*j + 14 = 0, 16 = 3*k - j + 2*j. Let g be ((-8)\/(-6))\/(4\/k). Suppose 48 = 2*o + g*y, 4*o + o + 2*y - 114 = 0. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -15444, -26856, -38280, -49722, -61188, -72684, -84216, -95790?\n\"Answer: -l**3 - 11405*l - 4038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 4*u**2 - 5*u - 2. Let j be w(5). Let m be j*(-2)\/4*2. Does 5 divide (-8)\/4 - (-32)\/m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.020073731033 to seven decimal places.\nAnswer: 0.0200737","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*i + 7. Suppose -5*q + 25 - 5 = 0. Which is bigger: i or q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97275.4ml in litres?\nAnswer: 97.2754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a second in milliseconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - (sqrt(136) + sqrt(136) + sqrt(136)*-1 + sqrt(136)))\/sqrt(8) - (sqrt(17) - sqrt(272)*-3) - (0 + sqrt(68)\/(sqrt(4) - 3*sqrt(4))))**2.\nAnswer: 12393\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 89054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 28654?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -5*q + 10. Let t be q\/(-4)*2 - -16. Suppose 4*o + 16 = i, 3*i - 17 = -4*o + t. Is i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8257, 16337, 24427, 32527, 40637, 48757?\nAnswer: 56887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 26 - 18. Sort -3, -11, -5, z in ascending order.\nAnswer: -11, -5, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6662.\nAnswer: 2, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -1.083, -9, -3\/5 in ascending order.\nAnswer: -9, -1.083, -1, -3\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -419533, -419538, -419547, -419560, -419577?\nAnswer: -419598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/12)\/((-1)\/352). Let f = -58 - r. Is f less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42203014\/9 or -4689224?\nAnswer: -4689224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-5 - (4 + -3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 152*c + 1520. Calculate h(9).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 19*s**2 + 21*s - 22. Does 8 divide r(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9 - 1)\/(0 - -1). Suppose -d = -2*a - 0. What is the units digit of ((-10)\/a - -2)*-4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1582559\/85 + 18618. Calculate the common denominator of k and -9\/7.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**4 - 564*v**3 - 563*v**2 = 0. What is v?\nAnswer: -563, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1380)\/(-6210))\/(46\/(-18) + 2))\/6.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 11:30 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14159035.64494 - 14159354. Let t = f + 318.1. Let j = 0.252 + t. What is j rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 6*a + 15 = -11*a, -x - 3*a = 9. Suppose -3*v - 20 = v. Sort -3, v, 3, x in descending order.\nAnswer: 3, x, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 29, 0.0357, -5, 18.4?\nAnswer: 0.0357","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -135 + 818. Suppose 4*b - 785 = g. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*t = 59*t - 19006. What is the remainder when t is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-168)\/16*(424\/(-371))\/((-4)\/7).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -150209757 and 5.\nAnswer: -150209752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.01 and -320053.45599948.\nAnswer: -320053.44599948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 4*k + 3. Let o be j(2). Let f(i) = -11*i - 3 + 14*i + 0 + 2. Determine f(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -9 + 2 + (-18)\/6. Is s\/2 + -4 + 22076 - 6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - (10 + 25 + -65) - (1 + -6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -11*i**2 - 72*i + 37. Let h be l(-7). Which is the biggest value? (a) 0.1 (b) -0.5 (c) h (d) 0.3 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2*y + 0 + y - 3*y + y + (-3*y + y + 0*y)*(3 - 4 + 3) + 2*y + y - y + y + 2*y - y - 14*y - 2 + 1 + 2 to t*y + s and give t.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-7)\/(-2))\/((-7)\/70). List the prime factors of (-7)\/x - 14\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 87 and -14.64.\nAnswer: 72.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 110077523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55 + -54.6. What is the third biggest value in 1\/6, 3, -2, k?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135 + 114*u**2 - 217*u**2 + 76 + 59 + 107*u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 1138*y + 4827. What is h(-3)?\nAnswer: 1413","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -143897936 divided by 644\nAnswer: -223444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*3*-1 + 0. Let t(a) = j*a - 2*a - 2 + a**3 + 1. Let p(m) = -8*m**3 - 5*m + 7. Let f be (4 - 552\/54) + 4\/18. Determine f*t(z) - p(z).\nAnswer: 2*z**3 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 36580?\nAnswer: 402380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002686 to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/(sqrt(9)\/sqrt(3)))\/((sqrt(15)*1)\/sqrt(3)) - ((1*sqrt(99) + -1)*6)**2.\nAnswer: -3600 + 217*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vovkvvvoovokovvovok. Give prob of sequence oov.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/1342 and -61\/6204?\nAnswer: 378444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.039 times 2?\nAnswer: -0.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -36\/7 (b) -22 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/6))**45)**(-1\/69) assuming s is positive.\nAnswer: s**(-5\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-12)*(1 + 8). Solve g - 2 + 11 = -4*x, x = g - p for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + -3 + sqrt(147))**2*6.\nAnswer: -504*sqrt(3) + 3582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 17*c + 310. Let f be w(28). Let q be 4\/(-14) - (-480)\/14. Suppose f*j - 336 - q = 0. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51 - (-20 - -33)) + 4 - (18 - 1).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 520*i - 523*i = -5*q - 55, -4*q - i = 61 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -105780 by -52890.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from psn. Give prob of picking 1 s and 1 p.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -290 + 300. Solve 6*l = h*l + 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/1152 and -37\/32.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - j)*(144*j**2 - 149*j**2 - j - 6 + 7).\nAnswer: 5*j**3 + j**2 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2002 and 129262.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 5. Let w(l) = -3*l - 6*l + h*l - 12 - 5*l. Calculate w(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 0.2 (c) -427 (d) -1\/8 (e) 41\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w. Let q(s) = 12*s - 1. Let c(z) = q(z) - 4*r(z). Let f(v) = -v**3 + 4*v**2 + v - 1. Let a be f(4). Is c(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1982692 or 5948074\/3?\nAnswer: 5948074\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/12 and 58\/123183?\nAnswer: 492732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a9a8 (base 16) in base 8?\nAnswer: 524650","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 124423699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2250115 (base 8) to base 15.\nAnswer: c0cc1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 300.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1922344?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5015 is divided by 5006?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 21\/2 (b) -4\/3 (c) 2\/9 (d) 10 (e) -8.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c + 82 - c + 9*c.\nAnswer: 13*c + 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2993866*x**3 - 12*x - 40253.\nAnswer: 17963196*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 407, 411, 415, 419?\n\"Answer: 4*q + 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(5\/13)\/(z*z*z**(-16)))\/(z\/z**(2\/21))**6)**(-17\/7) assuming z is positive.\nAnswer: z**(-13855\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 419 + -419. Let h(z) be the second derivative of g - 14*z + 0*z**4 + 0*z**2 - 1\/3*z**3 - 1\/5*z**5. What is the second derivative of h(q) wrt q?\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 503 divide 7321707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 16, 23, 26, 25, 20?\n\"Answer: -2*d**2 + 13*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -96301904*k**4 + 4*k**2 - 47243081*k wrt k?\nAnswer: -2311245696*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + (-9)\/(-6))*90. Let g be (-3)\/f*-6*10. Let v be 135\/(-36)*(-2)\/9. Which is the third smallest value? (a) g (b) v (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 713, 10, -2, 4 in descending order.\nAnswer: 713, 10, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a. Let h(o) be the third derivative of -o**5\/20 - 8*o**2. Calculate h(q(c)).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -67102\/9585 < 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 0*w + 2*w, 5*m - 4 = 3*w. Solve s**2 + s + s - m*s**3 - s**4 + s**2 - s**4 = 0 for s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1241566 + 66?\nAnswer: -1241500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-180 + 180 - 82*w**4)*(0 + 1 + 0)*(-2*w + 3*w - 10*w).\nAnswer: 738*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 29, -17, -61, -103, -143, -181, -217?\n\"Answer: u**2 - 49*u + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -y - w - 11, 2*w + 10 = -y. Let n = 1385 - 1382. Sort 2, y, -20, n in descending order.\nAnswer: n, 2, y, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2673) - (sqrt(2673) + -1*sqrt(2673)))\/(sqrt(704)*-2 - sqrt(704)).\nAnswer: -3*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -14277911\nAnswer: -3\/14277911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1902210552 a multiple of 407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - x - 3)*(4 - 1 - 2)*(-41 - 61 + 73).\nAnswer: 29*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -32*k**3 - 9*k**2 + 11*k - 17. Let p(u) = -11*u**3 - 3*u**2 + 4*u - 6. What is -17*p(z) + 6*y(z)?\nAnswer: -5*z**3 - 3*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 m when two letters picked without replacement from {s: 4, z: 4, m: 2}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 0. Find the first derivative of -2 + 0*w**k - 5*w**2 - w**2 + 5*w**2 wrt w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 0, -2*n - 29 + 39 = 2*q. Suppose 3*a = -4*d - 1961 + 13188, -18677 = -q*a + 2*d. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) + (-1*sqrt(504) - sqrt(504)))\/(sqrt(88)\/(sqrt(44)\/sqrt(4))) + -3*(-5*(sqrt(567) - sqrt(567)*1))**2 + 4.\nAnswer: -5*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -21?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/294 and -17\/12299.\nAnswer: 73794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 5\/1)\/(-1 + 3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y + 8*y**2 - y**2 + y**2 - 49*y + (3*y + 2*y - 6*y)*(-2*y - y - 2*y))*(-y + 4*y - y) to j + r*y + b*y**2 + t*y**3 and give b.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150479?\nAnswer: 7, 37, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-five quarters of a year?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*j**3 - 41*j**2 - 37*j**2 + 78*j**2.\nAnswer: -55*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68\/(-24) + 3 - (-300)\/792.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b = 34 - 6 + 26 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1079862 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 224 and 3556.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21021344?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**1)**(-25)*y**(-2\/9)\/y**1)**(-2\/33))**(-2\/23) assuming y is positive.\nAnswer: y**(-944\/6831)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 18, 47, 76, 105, 134?\n\"Answer: 29*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 28222174+-0.096\nAnswer: 28222173.904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71524.\nAnswer: 2, 17881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3904 + 12402 = -263*c for c.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/6*(-150)\/175.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -517079*i**2*k - 53*i*k + 1032543*k - 43 wrt i.\nAnswer: -1034158*i*k - 53*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (85\/1190)\/(1\/(-21)*(-18)\/21).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.7 * -0.013.\nAnswer: -0.1391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2 = 4*o, -2*g + 7*g + 2*o - 6 = 0. Suppose 3*k + 7 = v, k = g - 3. Let m = 16 - 10. What is the smallest common multiple of v and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 h when three letters picked without replacement from hhhhhthtthhhhh?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yqq. What is prob of picking 2 q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -256433160 (base 7) to base 8\nAnswer: -76527332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 6*k**2 - 4*k - 9. Let p be m(-6). Let z(c) = -2*c - 4. Let g(d) be the first derivative of -9*d**2\/2 - 15*d - 17862. Give p*z(a) - 4*g(a).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, b: 7, k: 2, a: 1}. What is prob of picking 2 g?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-8))\/(18\/(-216)). List the prime factors of ((-114)\/(-9))\/(6\/b).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -1 (b) -2\/5 (c) 3 (d) -1\/4 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -6*l + 2*l + 10 - 7. Let v(o) = o + 11. Let i be v(-12). Let d(p) = -p + 1. Let h(w) = i*g(w) + 6*d(w). Find the first derivative of h(s) wrt s.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 125812157?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, l: 1, z: 4, g: 7}. Give prob of sequence zzgl.\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -538 (base 14) to base 5\nAnswer: -13110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -630.13 + 189.16. Let o = 439 + m. Let s = -1.97000137 - o. Round s to seven decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8.29 and 498681.66.\nAnswer: 498689.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*d*f**2*g**2 + 16*d*f**2*g + 105*d*f*g**2 + 1267*d*f*g - 4*d*g**2 + d*g - 2205*f**2 wrt f.\nAnswer: -12*d*g**2 + 32*d*g - 4410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1233 + 2512 - 6*o**2 - 1279.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -309386 and -309386 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/9 greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/162*4*(-180)\/(690\/23).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1539\/4450 - 29\/89. Let g(b) be the second derivative of 1\/75*b**6 + 0 + 0*b**2 - 1\/30*b**4 + d*b**5 - 29*b - 1\/15*b**3. Factor g(h).\nAnswer: 2*h*(h - 1)*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 4*v**2 + 2*v - 3. Suppose 3*n - 2*w = -18, -6*n + 3*n - 4*w = 0. Determine u(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5822 + 1218 = 44*k. Let t be (-10)\/55 + 326\/(-22). Let l = t - -35. Calculate the greatest common factor of k and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281202 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, -2\/3, -0.5, 5, 1.2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/12)\/(19365\/(-6453) - -3). Is (8\/(-5))\/(18\/(-45)) - i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5)\/(-3) + (-1855)\/(-3).\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 646, 1307, 1970, 2635, 3302, 3971?\nAnswer: 4642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3409685 a multiple of 755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4206488 (base 11) in base 8?\nAnswer: 34226120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**2)**(14\/15)\/(h*h*h**(3\/7)\/h*h*h*h**5))**21 assuming h is positive.\nAnswer: h**(-983\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -195*g**5 - 2*g**4 - 13111*g**3 - 11247030*g wrt g?\nAnswer: -3900*g**3 - 24*g**2 - 78666*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -7*i**2. Let j(v) = -2*v**2. Suppose -2*f - 16 = -4*f. Let z(x) = f*j(x) - 3*h(x). Let o(g) = 2*g. Determine z(o(s)).\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100)*1)\/(sqrt(56)\/sqrt(7)))\/(sqrt(704) + (sqrt(704) + sqrt(704)*2 - sqrt(704) - sqrt(704)) + sqrt(22)\/sqrt(2)*2).\nAnswer: 5*sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*n + 25*n - 1149. List the prime factors of n.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 668497 less than 2005492\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h**6\/20 + h**5\/15 + 7*h**4\/24 + 7*h**3\/6 + 6*h**2. Let v(r) = -2*r**3 + r**2 + 2*r + 2. Calculate 2*c(b) - 7*v(b).\nAnswer: 2*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 157083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -5*k**2 - 29*k + 22. Let f(a) = a**2 + 6*a - 4. Calculate 11*f(q) + 2*i(q).\nAnswer: q**2 + 8*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-8)\/80*26?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1444c4 (base 15) in base 12?\nAnswer: 3b10b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*q + 4*s, 88*q - 93*q - 4*s = -72. Solve 52 = 38*r - q*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-10)\/(-2))\/10)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(175) - (-3 + -2*sqrt(175))))**2.\nAnswer: 2250*sqrt(7) + 39600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-18\/7)\/r)\/(r*r\/(r\/(r*(r*r**17)\/r*r))*r) assuming r is positive.\nAnswer: r**(-172\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-2) + -7 + 42446 + -6.\nAnswer: 151, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 11:53 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 187 + -170. Suppose -3 = l + 9. What is the remainder when l\/(66\/(-21) - -3) is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4*-1*(5 + -2*sqrt(192) + sqrt(192))*4)**2*6.\nAnswer: -614400*sqrt(3) + 1666560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36347 at least 36347?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -4. Let x(l) = 0 + 0 + c*l + 0. Let i(t) = 3*t. Give x(i(d)).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25124 - 2*p**4 - 2*p**3 + p + 25129 - 3*p to f*p**4 + w*p + b*p**2 + r + t*p**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (-2 + (6 - 3)). Let c(l) = 51*l**2 + 4*l + 2. Let u be c(n). Calculate the highest common factor of u and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 5:00 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 2211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 8) in base 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122470, 244932, 367388, 489838, 612282, 734720?\nAnswer: 857152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38315?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/5*(-4)\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.00635656 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 86 - 86. Put -3, -1, z, -6 in decreasing order.\nAnswer: z, -1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hll when three letters picked without replacement from {l: 11, h: 3}.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*h + 19*h + 13*h + 7*h + 30*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2 - 2. Let x(y) = 6*y**2 - 7. Let q(v) = 7*t(v) - 2*x(v). Let u(o) = -48*o. Let c(r) = 7*r. Let d(z) = -20*c(z) - 3*u(z). Calculate q(d(p)).\nAnswer: 32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7666\/5 + 551953\/360. Let x(n) be the third derivative of 0*n**3 + 1\/720*n**6 + 0*n + 0 + w*n**5 - 1\/144*n**4 - 1\/1260*n**7 + 4*n**2. Factor x(d).\nAnswer: -d*(d - 1)**2*(d + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 25 + 5 = 0, 5*w + 3*z + 58 = 0. What are the prime factors of (-186)\/w - (-4)\/(-14)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -j**4\/6 + 57*j**2. Let f(b) = 9*b + 1. Let v be (-1)\/((-2)\/(-4)) + 0. Calculate v*f(o) - 5*m(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.585973mm to centimeters.\nAnswer: 0.7585973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11120122212121 (base 3) in base 8?\nAnswer: -11221767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fafb when four letters picked without replacement from ddabdfddadfa?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4224 (base 6) to base 15\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 32\/3, -2\/11, 0, -229080, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 132\/220 + 2\/5. Solve -a - t = s, -5*a + 1 = -2*t - 1 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3337982152?\nAnswer: 2, 417247769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 462, 451, 442, 435, 430, 427?\n\"Answer: j**2 - 14*j + 475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2095 and 72.\nAnswer: 150840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -587 divided by -4\nAnswer: 587\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 868 = -8*n + 815. Calculate the remainder when 602 is divided by n.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4064 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 - 29. Suppose 2*a = -4*q + 112, -7*q = -2*q - 2*a - 158. Calculate the remainder when (234\/15)\/(i\/60) is divided by q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -109 + 131. Calculate the remainder when 86 is divided by x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46 - 7*g - 46)*(-4 + 1 - 2).\nAnswer: 35*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*m - 3*s, 0 = m - 3*s - s - 7. Suppose -4 + 43 = m*r. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/5 - 34*m\/5 + 36\/5.\nAnswer: -2*(m - 1)*(m + 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in nine tenths of a kilometer?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 1)\/((-18)\/(-126)). Let m be (2 + -4 - x)*45\/(-9). What is the highest common factor of 405 and m?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3*t - 4 = i, 5*i - 4*t + 6 = 0. Put i, 4, -1, 19 in ascending order.\nAnswer: -1, i, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -527*z + 727*z**3 - 863*z + 588*z + 128*z**3 wrt z?\nAnswer: 5130*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 8:56 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/(-4)*(-3)\/(-30). Let f = 8.81 + -8.91. What is the nearest to x in -3\/8, f, -0.3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -328 - -327.8. Which is the nearest to 2? (a) 1 (b) 1\/24 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus -14640645?\nAnswer: -14640645.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 847? (a) -5 (b) -5\/6 (c) 0.04 (d) -1 (e) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-50)*5*2\/(-32)*4?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 12:50 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1162 - -1161.9. Are u and 10\/11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3138.9 and 27.784374?\nAnswer: 3166.684374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-18)*(437 - 446)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.13? (a) -1 (b) -3\/8 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 54 + -68?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 53 and 4187?\nAnswer: 4187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2)\/8)\/(2 + 336\/(-164)) and -49\/58?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -326, 2, 1, -44, -4, -1 in descending order.\nAnswer: 2, 1, -1, -4, -44, -326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/30 of a millennium?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l - 125087 = 125489. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 16516.\nAnswer: 5\/16516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 2*p + 3. Let m be l(-3). Let y = 10 - m. Find the third derivative of -y*d**3 + d**3 - 2 - 5*d**2 + 2 wrt d.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -5 (b) 0.3 (c) -2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9946218 is divided by 118.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/61 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in years?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 o when two letters picked without replacement from ggqqtxtoxqqtgoztqoqt?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 f when four letters picked without replacement from {g: 2, f: 5, v: 6}?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (31 - 2691\/81)*(3 - 48\/15)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 z when four letters picked without replacement from tttttzzttttttttttt?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 1 = 2*c + 1, 0 = 3*i + 4*c + 4. Suppose 2*g + y - 589 = i, -5*g + y = 3*y - 1471. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -519668 divided by 519668\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 30 = 62. Suppose h - 43 = z. Suppose 0 = 4*k - h - 243. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*q + 96*q + 10*q**2 - 2*q**2 - 6*q**2 + 0*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*z + 29 = 29. Solve z = 3*n + 2*n + 5*l + 30, -n = -4*l - 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4644, 9247, 13812, 18339?\n\"Answer: -19*i**2 + 4660*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 254039503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103123 (base 4) to base 3.\nAnswer: -1201001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5984898 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1522827950 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-38)\/(-3)*(1330\/(-40))\/19. Are n and -21 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91251541.\nAnswer: 91251541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7276\/5457)\/(4\/333))\/(-3)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170054722?\nAnswer: 2, 85027361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24 - -14143431322?\nAnswer: 14143431401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6209 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 3*y - 21, 519*y - 22 = 4*b + 521*y for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1394.1 * 3.\nAnswer: -4182.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/((-93632)\/57)*4)\/((-6)\/(-14)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - r - 2*s = 24, 36 = 4*r - 4*s. Suppose -r*p + 163 = 151. Solve 0 = p*i - 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5093982977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1448714 and 5.46616.\nAnswer: -1448708.53384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 95478581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(19) - sqrt(38)\/sqrt(2)) + 2)*-4 + -1 - (sqrt(133) - (-3*sqrt(133)*3 - sqrt(133)))\/(sqrt(7) + (sqrt(77) + -2*sqrt(77) + sqrt(77))\/sqrt(11)).\nAnswer: -11*sqrt(19) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x**2 + 52*x + 278. Calculate p(-9).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/((-5)\/(-3)))\/(13*6\/208).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 687*k**3 + 1376742*k**2 + 4112037*k - 36018 = 0. What is k?\nAnswer: -2001, -3, 2\/229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/4497 and 44\/7.\nAnswer: 31479","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8162, -2, 5 in descending order.\nAnswer: 8162, 5, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9136*y**4 - 2*y**5 - 9136*y**4 - 53*y**2 - y**3 wrt y.\nAnswer: -120*y**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180*l**3 - 167*l**3 + 356*l**3.\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 589 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 76*f - 75*f. What is the least common multiple of 114 and f?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195736 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -0*v - 15. Suppose 3*f - 2*y - 1 = 33, 3*y = v*f - 58. Is f a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3664763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2513\/(-133) + 11\/((-1463)\/14)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72 - -64. Put c, 3\/4, 3\/5, 0 in decreasing order.\nAnswer: 3\/4, 3\/5, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 8, 9.\nAnswer: -2, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 1. Let b(x) = x - 7. Let q(d) = -b(d) - 2*z(d). Let o be q(5). Let u = 23 - o. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1659 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.9 - -2. Let g = -0.6 - v. Let z = 0 - g. Which is greater: z or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -56\/3 and -12983 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -2*t + 24. Let z be 9212\/(-16) + 3\/t. What are the prime factors of z\/(-22) + 6\/(-33)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.238 to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/3)\/((-1)\/3). Sort l, 1, 8 in descending order.\nAnswer: 8, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 42766.79 and -0.2?\nAnswer: 42766.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -22 - 62 - -11?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 72, 141, 210, 279?\n\"Answer: 69*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -634927 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*u**3 - 17*u**3 - 11*u**3)*(-2 + 2 + 2*u).\nAnswer: -16*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 252 = -2*d. Let w be (-21)\/(-6)*36\/d. Determine s, given that 86 + 4*s**3 - 2*s**w - 78 - 6*s**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -129.05872 to one decimal place.\nAnswer: -129.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, m: 5, a: 1, r: 3, f: 1, t: 1}. What is prob of picking 1 f and 1 a?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1000807445 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-8)*(-192)\/(-36). Let y = 3 + -1. Solve o - l = 3, 3*o + 0 = -p*l + y for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -149*o**2*y - 8*o**2 + 5268*o*y**2 + 2415482*o - 4*y**2 - 1 wrt y.\nAnswer: -149*o**2 + 10536*o*y - 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2210 a multiple of 221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 61\/7 + -1 + 36\/28. Let b = 29 - c. Calculate the remainder when b is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkrkkkrkkykyk. What is prob of picking 2 r and 1 y?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 186.0002175 - 186. Round f to 5 decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 7 = -2. Let s = 51 - 155\/3. Let y = -27\/8 + 77\/24. What is the nearest to s in 3, y, c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 500*y = -501*y - 35515993, 0 = -2*n + 5*y - 35516035. Round n to the nearest 1000000.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1008264518 to the nearest integer?\nAnswer: 31753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 918.9211 nanometers in micrometers?\nAnswer: 0.9189211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 1040873145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -13. Let j = 22 - w. Calculate the least common multiple of 10 and j.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ks when two letters picked without replacement from {s: 2, n: 1, k: 8, z: 5}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k - 1. Let s = -10 - -14. Let f(d) = 8*d - 3*d + s + 6 - 5. Calculate f(x) + 3*h(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26745 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 3*t**5\/5 + 297*t**4\/2 + 9189*t**3 - 90882*t**2 + 280908*t - 737. Determine n so that o(n) = 0.\nAnswer: -102, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.15 times -3613\nAnswer: 541.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 36, 4, -34, -5, -1 in descending order.\nAnswer: 36, 4, 3, -1, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 342058837 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -90396, -180697, -270998, -361299?\n\"Answer: -90301*p - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w - 1. Suppose -5*q - 5*c + 10 = -45, -5*c = -5. Does 12 divide b(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11.96 - -20.96. Which is the third biggest value? (a) v (b) -7 (c) -1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 373259, 746529, 1119799, 1493069, 1866339?\nAnswer: 2239609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.015890807 rounded to five dps?\nAnswer: 0.01589","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13188121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (43\/4 + 2)*(-128)\/(-96). Solve k*b - 2 = 16*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 8:04 PM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 2*m**2 - 2*m - 2. Let i be z(-2). Suppose 2*o + 625 = 3*a, 0 = -i*a - a - 5*o + 611. Differentiate u**4 - 205 + 0*u**4 + a wrt u.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1139169660?\nAnswer: 2, 3, 5, 17, 229, 4877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -44105105 - -74?\nAnswer: -44105021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -125\/22 + 3133\/110. Let r = 1819\/80 - c. Let w(i) = i**3 - 3*i**2 + 2*i. Let m be w(2). Is r > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-39)\/(-13) + 0\/(-1 - 0). Solve -y - 1 = -o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1148024 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 9:51 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106054 = -3500*z + 326554 for z.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 630633?\nAnswer: 3, 31, 6781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 4*j + 7. Suppose -4*d + 28 = -2*r - 0, 35 = j*d + r. Solve -3*y = 1 - d for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 8. Suppose -f*k - 90 = k. What are the prime factors of (k + (-2)\/(-2))*-1?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.3 or -154367?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d92 (base 15) to base 6.\nAnswer: -22102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 - 6. Calculate the remainder when 88\/(-55) + (-729)\/(-15) is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8441 - 5311. Round g to the nearest one hundred.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (181*i**2 + 9887 - 9887)*(0 + 2*i + 0).\nAnswer: 362*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3204, 5777, 8380, 11019, 13700, 16429?\nAnswer: 19212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -15*d**2\/2 - 11*d + 191. Let k be b(-1). Solve 5*j - 2*c = 3*c + 45, 5*j + k*c = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 5*i**2 - 3*i + 1. Suppose 0 = -3*a + 14*a - 55. What is o(a)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.051 + 24.949. Let p = g + -25.3. Suppose 0*q = -2*q. Which is the nearest to 1? (a) q (b) p (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of 0 + 0*s + 1\/24*s**4 - 2*s**2 + 1\/20*s**5 - 1\/3*s**3. What is the units digit of x(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 1 - x + 4*x - 4*x + 0*x. Determine q(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28549\/30 - 3549\/5. Let y = z + -241. Which is the second smallest value? (a) 3\/8 (b) -2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 534097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.38 - 19.98. Let d = -19 - w. Put -1, -3, d in ascending order.\nAnswer: -3, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, -0.1, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*l - 61*l + 23*l + 20*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*p + 2 = 36*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 81 = 4*o, 0 = -4*o + o + 3*v - 57. Suppose 4*r + 110 + 6 = 0. Let c = o - r. What is the smallest common multiple of c and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -38. Let j = -15 + s. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 17, o: 3}. What is prob of picking 1 g and 2 o?\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s + 9. Let z be q(-18). Suppose 10*k + z = 11*k. What is the greatest common divisor of 9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62*b - b**3 + 20278 + 4*b**3 - 20276 to the form s*b**3 + f*b + i*b**2 + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 403.\nAnswer: 3\/403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -11*o + 12. Suppose 3*a - x - 16 = -0*a, -3*a + 28 = 5*x. Let l be 8*a\/8*-1. Is z(l) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -15. Let q be 4\/6 + b\/(-6). Let l(z) = -2*z + 2. Let r(c) = 1. Let d(p) = q*l(p) + 5*r(p). Differentiate d(n) wrt n.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 * -0.33\nAnswer: 10.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*(sqrt(336)\/sqrt(7) + (sqrt(3) - sqrt(48)*1)) + (sqrt(108) - (2 + (sqrt(108) - (sqrt(108) + 1)) - sqrt(108)) - (-2*sqrt(108) + 1)))**2.\nAnswer: -72*sqrt(3) + 976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 i when three letters picked without replacement from {i: 10, v: 10}?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15522 and 390?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/16*4*6*84\/(-30)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**3 + 2*a**2 + a - 10*a - 4*a**2 + a**4 - 3*a**4 in the form p*a**2 + u + l*a**4 + x*a**3 + w*a and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 970, 7014, 13034, 19030, 25002, 30950?\n\"Answer: -12*d**2 + 6080*d - 5098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 243 + -242. Let h(b) = -b + 1. Calculate h(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270 = 5*w + 4*w. Let n(s) = -24 + s**2 + 17*s - 3*s**2 - w*s + 4*s**2. Let t be n(8). Let y(d) = -d**3 - d**2 - 7. Determine y(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 57*h - 5634. Give b(114).\nAnswer: 864","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -w**4 - 1\/5*w**5 + 1 - 4\/3*w**3 + 0*w + 0*w**2. What is i in q(i) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**5 + 4*z**5 - 2*z**5 + (-z**2 + 3*z - 3*z)*(-1 + 1 - z**3) + 2*z**4 + z**5 - 2*z**4 - 4*z - 26*z**4 - 2*z**5 + 26*z**4.\nAnswer: z**5 - 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/25046 and 71\/39358.\nAnswer: 275506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r - 6. Let a be v(4). Find the common denominator of (-399)\/112*a\/(-3) and -33\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7127289?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f**2 - 4 + 4)*(-145 + 145 + 145*f) to k*f + o*f**2 + r*f**3 + s and give r.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*l**5*z - 257*l**3 - 4*l**2*z + l*z - 904*z wrt l?\nAnswer: -660*l**2*z - 1542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 - 2981*n**2 + 32771*n - 6435.\nAnswer: (n - 585)*(n - 11)*(5*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*q**5 + 0*q**4 + 0*q**4 + 9*q - 9*q + 31*q**5 + (-q + 5*q - 3*q)*(-q**4 + 0*q**4 + 2*q**4).\nAnswer: 45*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -116186 + 1?\nAnswer: -116185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2055678851\/14075976 + -6\/586499. Let m = y - -1137\/8. Calculate the common denominator of 1\/14 - (-4*72\/32 - -15) and m.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.918 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(13*q + 10 - 20*q + 10*q).\nAnswer: -3*q - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -3. Suppose 0 = 2*n - x - 11, i*n - 10 = n + 5*x. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -23*o**2 + 35*o**2 - 47*o**2 - 21*o**2 - 43*o**2. Let y(a) = 17*a. Give y(f(k)).\nAnswer: -1683*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 + -27. Suppose 0 = -3*s + 68 - q. Solve -5*k + 25 = 5*n, n - s = k - 6*k for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20556857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 32*u**2 + 137*u - 10. Calculate h(-4).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = 3*p + 8. Let q = -28 - p. Calculate the lowest common multiple of -2*1 + (6 - -7) and q.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 2*g + 3. Suppose 4*b - 40 = -16. What is the least common multiple of b and m(5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.17 times -8\nAnswer: -9.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130644.78*-78.\nAnswer: 10190292.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 17*w**4 + 8*w**4 - 1 + 1 + w**2 as k*w + h*w**4 + z + o*w**3 + y*w**2 and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3264)\/sqrt(3))**2 - (sqrt(170)*2)\/sqrt(10)) + 6*((sqrt(170)*-1)\/sqrt(10) + -2).\nAnswer: -8*sqrt(17) + 1076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -95246 - -95269.00072. Let u = w + -23. Round u to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 406\/21*(15\/2)\/5. Solve f = -2*h + 31 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*-10*(-24)\/30. Let z(x) = -x + 11. Let b be z(f). Solve -5*m = -5*i + i + 8, -i - b*m + 2 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -3 (c) -1\/21 (d) -3126 (e) -0.5 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 u when three letters picked without replacement from {l: 2, x: 1, z: 2, u: 2, r: 1, j: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 30 + 6 = 0. Suppose 0*u - 2*n + 13 = u, 0 = 4*u + 3*n - 27. Suppose -u = -m + 20. Calculate the remainder when m is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.047? (a) -6\/49 (b) -1 (c) 3.1 (d) -2\/11 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -20*r - 1311. Calculate h(-67).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 494 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -199*d + 87. Let s be q(-3). Suppose 12*k = 48 + s. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 359687413?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1271 = -5071*b + 4989*b - 1089 + 3180 for b.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 10*x - 28 + 0*x**2 + x**3 + 7*x - 21*x + 9*x**2. Calculate s(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t + 6. Let k(x) = x + 1. Let r(b) = 6*k(b) - s(b). Let q(j) = -18*j**2. Determine q(r(z)).\nAnswer: -72*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-8)*2*6. Let c be (-3 + -4)*(a + 2). Let x = 17 - c. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49158099 to the nearest integer?\nAnswer: 7011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(50\/(-15)) + -1 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + 4 + (14 - 2 - 14) + 2 + -1?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 12*v**3 + v - 1. Calculate the remainder when ((-72280)\/(-160))\/(156\/48) is divided by y(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3154076*p - 5 + 4 - 2329965*p.\nAnswer: -5484041*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -7 + 19 + -10 - 0. Let x(u) = -6*u**2. Let n(y) be the second derivative of y**4\/4 - 3*y. Let m be -2 + 2 + (-15)\/(-3). Calculate m*n(k) + t*x(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*s - 19*s**4 + 0*s - s - 231*s**2 - 2*s wrt s.\nAnswer: -456*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49 and 25268831.\nAnswer: 176881817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9584 to the power of 1\/2, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.6 - 5. Let m be -2 + 3 + (-5)\/7. Let y = -0.3 - 4.7. Which is the biggest value? (a) y (b) m (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (319\/(-80) + 3)\/((-16)\/16) and 57\/352?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 12:51 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 3)*(-2 + 0 - 1)*(0*t**2 + 2*t**2 + 0*t**2).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/6 - (4 + 6025\/(-15))?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144719545 divided by -2?\nAnswer: -144719545\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -76 - -78. Suppose d*z - 22399991 = -3*p, -z + 2*p = 6*p - 11199988. What is z rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -0.16, -1\/2, 0.5, 3\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + 11 - 29\/4) + 4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 4:25 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -13. Suppose -2*n = 2*n - 3*n. Suppose p = q + 4*q + 4*v, n = 5*v. Solve -1 = -2*i + q*a - 5*a, -5*i - 4*a = 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-15)*(-9)\/(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 494532 and 9288.\nAnswer: 42529752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 - 5*l**2 + 4*l**2)*(6*l - 11 + 11) + (-1 + 2*l**2 + 1)*(l + l - 4*l) - 5*l**3 - l**3 + 4*l**3.\nAnswer: -24*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4202413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 2. Let x(f) = -4*f + 1. Let h(o) = -o**2 - 11*o + 45. Let y(j) = 2*h(j) - 6*x(j). What is the units digit of y(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-18 - -6) - 4 - 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -342, -347, -358, -375, -398, -427?\n\"Answer: -3*b**2 + 4*b - 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 1\/2 (c) 40689 (d) -6 (e) -0.4 (f) -0.5 (g) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45529*r + 44463*r - 14641*r.\nAnswer: 75351*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 177*w**2 - 45*w + 150. Does 49 divide p(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5}. What is prob of sequence hhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 10077 = -3*g + 721, -3*g = n - 10790. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 8:43 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1924, -1918, -1910, -1900, -1888, -1874, -1858?\n\"Answer: t**2 + 3*t - 1928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 181 + -173. Suppose -2*c + 50 = k*c. Let i(z) = 2*z**3 + 6. Let r(o) = -2*o**3 - o - 7. What is c*r(h) + 6*i(h)?\nAnswer: 2*h**3 - 5*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5\/3, -3, -1.38, -3\/5 in decreasing order.\nAnswer: -3\/5, -1, -1.38, -5\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -31, -28, -15, 14, 65?\n\"Answer: j**3 - j**2 - j - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/2*72\/15)\/(-2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/84 and -145\/36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/5 (b) 5\/27 (c) 5\/4 (d) 0 (e) 95 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 4*b. Let n be (1 + b)\/(-6 - -5). Let l(z) = 12*z + 3. Let q be l(n). Which is greater: q or -10?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -75*x**3 + x**2 + 8*x. Let f(g) = 76*g**3 - g**2 - 10*g. Calculate 6*b(l) + 5*f(l).\nAnswer: -70*l**3 + l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -y**7\/180 - 61*y**4\/24 - y**2 + 49*y. Let b(h) be the second derivative of z(h). Let p(q) = q. Calculate p(b(g)).\nAnswer: -14*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*i = -135, 6*i - 5*i - 1 = 0. Which is smaller: -65 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1734338 less than or equal to -51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.716 - -0.616. Let y = -5.8 + 2.8. What is the nearest to 2 in -0.4, 0.3, y, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**3 - 8*y**2 + 9*y - 2. Let z be h(-5). Solve -v + 4 = -z*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 104*q**2 + 2*q. Let v(i) = -519*i**2 - 11*i. What is -11*d(t) - 2*v(t)?\nAnswer: -106*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.5 (b) -3 (c) -168792 (d) 1\/4 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 181573.137 microseconds in days?\nAnswer: 0.0000021015409375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63306 (base 8) to base 16.\nAnswer: -66c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48110398 a multiple of 252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -170 - -775. Let b = -551 + d. Calculate the least common multiple of b and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5659152.\nAnswer: 2, 3, 117899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -831 + 861. Solve -24 - j*m**3 + 5*m**3 + 9*m**3 - 19*m + 2*m**2 + 4 + 17*m**3 = 0 for m.\nAnswer: -5, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 15*k**2 - 265*k + 15. Let u be b(-9). What is the greatest common divisor of 30 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2107*o + 75877. Give z(36).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.023 + -12.477. Round c to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 322 and 27209?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -56 - -112 - 18 - (6 - -20).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (-8)\/(-6) + 2\/(-6). Sort -2, h, -5, 16 in descending order.\nAnswer: 16, h, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**3 - 3441 + 16*h**3 + 6887 - 3446.\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t - 32*t + 4 + 10*t to q*t + h and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = -5*n - 21. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x**2 - x - 1. Suppose 0 = 3*r + 22 + 5. Let c = -7 - r. What is the units digit of f(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 0\/(-3))\/2 + 3. Calculate the greatest common factor of a and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of t**2\/2 - 3. Let k(a) = 26*a**2 + 7*a. Let u(i) = 13*i**2 + 3*i. Let q(j) = 3*k(j) - 7*u(j). Determine q(v(o)).\nAnswer: -13*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13545?\nAnswer: 3, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 97*o**6 - 307*o**3 + 552*o**2.\nAnswer: 11640*o**3 - 1842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1328943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l + 27. Let t be s(12). Let m be 10\/t*(-90)\/(-4). Suppose m*o = 10*o + 10. Put o, 3\/5, -0.2 in ascending order.\nAnswer: -0.2, 3\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5*v. Let g(j) = -288*j. Calculate g(x(t)).\nAnswer: 1440*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/8 + 34\/8. Solve u*r + 6 = -2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 349.247053 times 0.5\nAnswer: 174.6235265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 2\/2 - 18\/(-6). Suppose 4*g - 4*v - 5 = -3*v, -2*g + 5 = -v. Solve g = 6*l - m*l + 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -3. Let x = -12 + 12. Let u = 1 + x. Sort u, 5, g in descending order.\nAnswer: 5, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o + 367*o + 2611 = -15*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 2*n = 0, 35*n - 30*n = -5*u - 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 - 1296*n + 104976.\nAnswer: 4*(n - 162)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*m = m. Suppose 15*a - 19650 = -m*a. Round a to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13585173?\nAnswer: 3, 7, 646913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6806.131ml?\nAnswer: 6.806131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 50*f - 424. Calculate q(-36).\nAnswer: -928","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttz when three letters picked without replacement from yrzytttzt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f. Let i(l) = -l**3 + 2*l**2 + 2*l + 1. Let r be i(-1). Let y(v) = 20*v**2 - 38*v**r + 20*v**2. Determine y(d(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + l - 1, -3*i + 21 = -5*l - 10. Suppose -9 = 4*o + 4*m - 1, -2*m - 1 = 5*o. What is the highest common divisor of i and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 + 13*s + 12.\nAnswer: (s + 1)*(s + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 5 - 1)*(-q - 2*q + 4*q) + 3*q + 0*q - 2*q)*(q - 5*q + 5*q) + 10*q**2 + 8*q**2 + q**2.\nAnswer: 22*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -58843, -58853, -58851, -58831, -58787, -58713, -58603, -58451?\n\"Answer: s**3 - 17*s - 58827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2435552286.\nAnswer: 2, 3, 8011, 50671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9002, -9042, -9096, -9170, -9270, -9402?\n\"Answer: -k**3 - k**2 - 30*k - 8970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + p - 7 = u, -3*u + 3*p - 9 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 9*m + 38. Let g(u) = 2*u. What is g(r(f))?\nAnswer: 18*f + 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5466202 (base 7) in base 5?\nAnswer: -133001122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 222*n - 5554. Give t(23).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -a. Which is smaller: a or 4\/119?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*h**3*m**5 - h**3*m**4 - h**3*m**2 - m**3 + 76*m wrt m?\nAnswer: 240*h**3*m**2 - 24*h**3*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-5\/3)*z*z**(-11))**25)**(-6) assuming z is positive.\nAnswer: z**1750","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 67.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7793\/11 + -706. Find the common denominator of -52\/3 and v.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3228 (b) 4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 11*w - 345. Which is bigger: -18 or w?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 2*h - 22, -2*h + 6*h - 4 = 0. Solve s*f = 3*f - 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -0.3125?\nAnswer: -4.6875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 5*g**2 + 19*g + 73. Give a(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = a - 2012, 0*u + 8044 = 4*a + 5*u. Let r be 10\/(2 - 1 - 0). What is the tens digit of (-2)\/r + a\/30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 9*p**2 + 8*p - 60. What is the smallest common multiple of 98 and a(9)?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/55, -1\/4, 0.1, -0.1, -4754?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from mmmnmmmmnnmmmmm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -93102?\nAnswer: -93103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 410578?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1240344 (base 5) to base 8.\nAnswer: 57632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from guugg. What is prob of sequence gu?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12535 + 8472. Let l = z + -3437. Round l to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (0 + 1)) + -2117 + 2131.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6)\/(66\/693).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 58239203 bigger than 58239201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10984 or -10996?\nAnswer: -10996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 551939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -0.1114.\nAnswer: -0.01114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2845, 5575, 8217, 10765, 13213, 15555, 17785, 19897?\n\"Answer: -s**3 - 38*s**2 + 2851*s + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 >= 42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 1962761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3051, -2890, -2729, -2568, -2407, -2246?\nAnswer: -2085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (-10 + 12 + (9 - 6))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9001522*k**4 + 15*k**2 + 13385?\nAnswer: 216036528*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 14*u - 23992. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/3))**(-20)*c\/(c**(6\/7)*c)*c**(-3)*((c\/(c*c*c*c**(-3))*c)**(-17))**(6\/5) assuming c is positive.\nAnswer: c**(-6089\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 + -45. Let l(d) = -d + 1. Determine l(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 276 - -12353?\nAnswer: 12651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-1\/4)*k))**(-48)*(k**0)**(-44)*((k\/(k*k**6))\/(k**(2\/21)*k))**(-12) assuming k is positive.\nAnswer: k**(512\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*r**2 - 98\/9*r + 380\/3.\nAnswer: 2*(r - 30)*(r - 19)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 5\/6*u**3 + 55\/2*u - 15*u**2 + 225. Suppose b(l) = 0. Calculate l.\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 1060?\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63645554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 686038 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 a when two letters picked without replacement from nannannnnn.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3243?\nAnswer: 3, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6654724734?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 11:50 PM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 divided by 8?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1561947*i**2 + 2443008 wrt i?\nAnswer: 3123894*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -832 smaller than -160704\/193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-6 - 2 - -13).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 7. Calculate the remainder when 10 is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 7. Let s(z) = -z**2 + 7*z + 6. Let d be s(6). Let m be 3\/f + 9\/d. Which is the nearest to 2\/5? (a) m (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 15*t**2 - t + 4. Let w(v) = 15*v**2 - v + 3. Let h(g) = -3*a(g) + 4*w(g). What is the remainder when h(1) is divided by 3*6\/9*4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**2 + 24103*j**3 - 7*j - 2*j**4 - 12035*j**3 - 12040*j**3 to i + b*j**2 + z*j**3 + p*j**4 + f*j and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(-3)*c))\/c*c**(4\/5))**(-1\/7)\/(c*c*c\/(c*c*(c*c*c**(2\/7))\/c)*c*c\/c**(1\/4)*(c\/(c**(2\/5)\/c))\/(c\/(c**(-1)*c))) assuming c is positive.\nAnswer: c**(-69\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1556041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 139*m**2 - 560*m + 59. Calculate n(4).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*o**3 - 18*o**3 + 10*o**3 + 0*o - o**3 + 0*o + (2*o - o + o)*(-o**2 + 0*o**2 + 3*o**2) + o**3 + 0*o + 0*o - o**3 + o**3 - 2*o**3.\nAnswer: -22*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.46 + 0.22. Let f = n - -0.24000072. Round f to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.225140704 rounded to 5 dps?\nAnswer: 0.22514","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddnddddddddddddd. What is prob of picking 4 d?\nAnswer: 13\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.70112078 - 9.32.\nAnswer: -18.02112078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3 = 6*j. List the prime factors of j + (-1 - 3 - -17).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13406*h**4 + 34529*h?\nAnswer: -160872*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8314\/27 - 308. Let b = -1.3 - -0.3. Let t = 1391805 - 1391803. What is the closest to t in w, -2, b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205572915 to the power of 1\/2, to the nearest integer?\nAnswer: 14338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w - 9. Determine b(8).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2963637795 to the nearest integer?\nAnswer: 1436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10 (b) -0.06 (c) -1 (d) -1\/3 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 149, 429, 835, 1367, 2025?\nAnswer: 2809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20191886 and 1144?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2 - 8. Let w be 0\/(-2 + -2) - -2. Find the second derivative of -o**2 + 3*o + k*o**2 - 2*o**w wrt o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 5:42 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 463344.\nAnswer: 2, 3, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mqqmmduuuqq. What is prob of sequence mm?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-33)*(3 - 1). Let s = -101 + 34. Let c = 68 + s. What is the closest to c in 3, g, -7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54 + 437. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -105*r**2. Let s(h) = -h**2. Calculate k(s(x)).\nAnswer: -105*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-76)\/(-16))\/((-2)\/8). Let r = -13 - s. Find the second derivative of y - 6*y + 4*y + r*y**3 + 5*y wrt y.\nAnswer: 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 17*w**2 + 19*w + 22. Let t be p(-18). Suppose -5*q = -t - 11. Let d(z) = 4*z**2 + z - 3. Is d(q) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 13 = 8. Put q, 4, -1, 0 in descending order.\nAnswer: 4, q, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -35, -63, 0 in decreasing order.\nAnswer: 0, -5, -35, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 3*x = 4*o + 3159997, 5*o + 3950004 = 4*x. Round o to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -6, 1325, -42, -10, -3 in decreasing order.\nAnswer: 1325, 5, -3, -6, -10, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/(-40) + -4*(-104)\/10. Let a(c) = -h*c - c + 8*c - 6*c. Let d(w) = -w**2. Give d(a(i)).\nAnswer: -1681*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxiixxiiii. What is prob of picking 1 x and 2 i?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 156 = -4*g, 39 = -2*g + g - 3*x. Let z = -44 - g. Let p(a) = a**2 + 0*a**2 + 5*a + 1 + 0. Calculate p(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11035677, -11035688, -11035699, -11035710?\nAnswer: -11035721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 q when two letters picked without replacement from qqrqqqqrrq.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 11*s - 13*s. Let h(p) = -p - 2 + 4*p**3 - 5*p**3 + 1. Let r be h(s). Solve 2*u + u - r = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 69*u**2 - 40*u + 11*u**2 + 745*u**4 - 747*u**4 - 288 + 10*u**3 = 0.\nAnswer: -4, -2, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (-2 + 3 + -4 + -360). Let l = b + -240. Does 43 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24520757 divided by 4?\nAnswer: 24520757\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 21 - (165 + -155)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/21)\/(77\/49)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26 - 26) + 10 + 0 + 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -440\/9*k - 8\/9 + 110\/9*k**3 + 2\/9*k**2.\nAnswer: 2*(k - 2)*(k + 2)*(55*k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 505905443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1331)*-3)**2.\nAnswer: 66*sqrt(11) + 11980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -486*s + 108*s**2 + 240*s + 246*s to h*s + u*s**2 + n and give u.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.1401 to two decimal places.\nAnswer: -2.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2153? (a) 3\/5 (b) 8.6 (c) 6 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 s, and 1 x when three letters picked without replacement from crrcxsscccccc.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2. Let b(r) = -21*r**2 - 113*r + 113*r. Give b(q(a)).\nAnswer: -21*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 4. Let m be (-5)\/(-20)*(-4)\/c. Suppose 3 - 8 = -5*z. Is m greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-18)\/4 + 1 + 3)*-12. Let k be ((y\/4)\/(30\/(-80)))\/1. Let w = -2.02 + 0.02. Which is the closest to 0? (a) k (b) 1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*q + 54*q**2 - 352*q**2 - 32*q.\nAnswer: -298*q**2 - 97*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3379644 by -55404.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76.918 - -0.082. Let j = g + -76.9763. What is j rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of 5*r**6\/8 - 3*r**5\/20 - r**4\/24 + 2993*r**3\/6 - 1907*r**2. What is the first derivative of u(f) wrt f?\nAnswer: 225*f**2 - 18*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2 + -1)\/((-35)\/(-10))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 919. Let x(q) = q. What is s(x(l))?\nAnswer: -l**2 + 919","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**2 - 148 + 74 + 51 - 2*x in the form p + q*x + t*x**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112195964.\nAnswer: 2, 1493, 18787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1020 + 1062. Calculate the remainder when j is divided by 27.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218.110737 rounded to zero dps?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 114, 10, 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 2*x = 13, o - 74*x - 5 = -72*x for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34944479*k**3 - 206543*k**2 - 4*k.\nAnswer: -209666874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -2\/13, -2.\nAnswer: -3, -2, -2\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 1)*(49*w - 40*w + 32*w)*((1 + 0 + 1)*(w - w**3 - w) - 3*w**3 + 4*w**3 - 3*w**3 + 0*w**3 + 0*w**3 + 2*w**3).\nAnswer: 82*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 4*t - 29, -2*l - l = -t - 4 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 80 + -77. Let t(w) = 2*w**2 - 5*w + 1. Give t(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2331032013 (base 4) to base 14\nAnswer: -162647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 661*f*j + 20873799*f + 31651*j**4 + 2 wrt j.\nAnswer: 661*f + 126604*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -647+-173\nAnswer: -820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**7\/210 - i**6\/40 + i**5\/20 - i**4\/24 - 11*i**2. Factor t(u).\nAnswer: u*(u - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v. Let q(b) = 8*b + 25219. Determine q(x(m)).\nAnswer: 8*m + 25219","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 2. Let z(f) = -y*f + 2*f**2 - f**2 + 14 + 4*f. Is z(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*93\/(-18))\/(139*62\/25854)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(sqrt(486) + ((sqrt(486) - sqrt(486)*-3) + sqrt(486) - sqrt(486)) - sqrt(6) - sqrt(6)).\nAnswer: sqrt(19)\/43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - 5*o - 2315. Suppose 0 = -z + 5*b - 85, -5*b + 153 = -3*z - 102. Let h = z - o. Calculate the highest common factor of h and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1352 - -21?\nAnswer: 1413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*x + 3*x + 2*x)*(1778 - 680 + 348) to the form c + d*x and give d.\nAnswer: -2892","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Is 919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.29576t in milligrams?\nAnswer: 295760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 5*q**2 + 77*q - 17. Let r be v(-16). Solve 5*u + 41 = r for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -16*y**2 - 36*y - 43. Let n(t) = -5*t - 7*t - 5 - 9 - 5*t**2. Let u(h) = 7*n(h) - 2*r(h). Let u(b) = 0. Calculate b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2634445 is divided by 321.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1129 - 1129.1. What is the closest to -0.1 in 1, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/(-12))\/((-3)\/16). Suppose 0 = -3*z - h*n + 338, -7*z + 5*z + 256 = -5*n. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -7*r**2 + 396*r - 4485. Calculate d(27).\nAnswer: 1104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -10*q + 48. Let a be g(4). Let c(o) = -a*o**2 + 18*o**2 - 2*o**2 - 7*o**2. Let p(t) = 13*t - 6*t + 28*t. What is c(p(b))?\nAnswer: 1225*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 31, 54, 81, 112, 147?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -567 and 1.3?\nAnswer: -737.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of m**5\/10 + m**4\/12 - m**3\/2 + m**2 - 19*m - 3. Let f be n(-2). Let j be 0\/(2*(0 + -1)). Put 5, j, f in ascending order.\nAnswer: f, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -344, -339, -334?\nAnswer: -329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1.659962 decades?\nAnswer: 16.59962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 6*l**2 + 14*l + 17. Give o(7).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7452 - -0.0452. Which is the third biggest value? (a) 0.3 (b) o (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/2 smaller than -0.0861662?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 120.4 less than -0.2?\nAnswer: -120.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/2 and -73\/2138.\nAnswer: 2138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -2 - (75 - 78).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7588739 and -0.6.\nAnswer: 4553243.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 - 155 + 79 + 31*b**2.\nAnswer: 31*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**3 - 2*l. Let c(h) = 3*h**3 - 4*h**2 + h. Let r(x) = 16*x**3 - 22*x**2 + 6*x. Let k(j) = 11*c(j) - 2*r(j). Determine -2*k(m) + u(m).\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = -73*v + 20 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(1053) + (sqrt(1053) + 1 - sqrt(1053)) + sqrt(1053) - sqrt(1053))*-5 + -5 - ((1 + sqrt(1053))*-6 + sqrt(1053))*-3*2)**2.\nAnswer: 31500*sqrt(13) + 1292425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223513324?\nAnswer: 2, 29, 1926839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v. Let y(d) = -80*d + 2. Determine g(y(w)).\nAnswer: 320*w - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -212, -216, -222, -230, -240?\n\"Answer: -r**2 - r - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -6*z**2 - 98732*z + 592612. What is c(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0373205 rounded to 4 dps?\nAnswer: -0.0373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d**2 - 13*d + 13*d)*(-84 + 46 + 44)*(-14 - 4 - 7).\nAnswer: 750*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*s - 1472 = -27*s + 1120. What is the remainder when 203 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9583646 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223018 is divided by 135.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4779457 and 1149?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 543992237?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/9*(1 + 11). Suppose -g = -3*o + 101. List the prime factors of o.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x + 4. Let v(s) = -s - 2. Calculate 6*t(a) + 11*v(a).\nAnswer: 7*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 11 - 11 - 2*f**2. Let g(s) = -13*s. Calculate g(o(n)).\nAnswer: 26*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g - 36. What is the tens digit of z(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*g = 56*g - 35. Let c(l) be the third derivative of l**5\/60 + l**4\/12 - 4*l**3\/3 + 2*l**2. What is the units digit of c(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 234 + -150. Let j be w\/16 - (-4)\/(-16). Solve 3*l = -9, -j*y + l = -6 - 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -388*t**3 + 46*t**2*v**3 - 12*t*v - v**3 + v**2 - 238*v - 18 with respect to t.\nAnswer: -1164*t**2 + 92*t*v**3 - 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b - 3*c = 9 + 54, -5*b = -6*c - 80 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 322963\/70 + -4613. Find the common denominator of 57\/56 and r.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 462, -5\/3, 0, 3, -4\/7 in descending order.\nAnswer: 462, 3, 0, -4\/7, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 177*p**2 + 71*p.\nAnswer: 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2792.\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3966, -28812, -95398, -224592, -437262, -754276, -1196502, -1784808?\nAnswer: -2540062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 2*a)*(-2*a**4 - 3*a**4 + 6*a**4) + (0*a**2 + a**2 + 0*a**2)*(3*a**3 + 2*a**3 - 4*a**3).\nAnswer: 3*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d\/(d\/d**(-2\/41)))))\/d*d**18 assuming d is positive.\nAnswer: d**(695\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*2 + 7 + -2. Suppose -3*v + 5*o + 15 = 0, 0 = -5*v - q*o + 78 - 19. Suppose -5 - v = -2*y + b, y + 3*b - 11 = 0. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 404659879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 2*s - a, 4*s = -5*a + 42 + 149. Let o = 82 - s. Let c = o + -9. Calculate the greatest common factor of c and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 208573195?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + -6*sqrt(187)*-2 - 1*sqrt(187)*2)\/(sqrt(121)\/sqrt(44) - (1*sqrt(1100) - sqrt(11) - sqrt(11))).\nAnswer: -22*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-2) + (533 - -2). Let m be ((-3 - (-39)\/12) + (-9)\/(-12))\/(510\/54570). Calculate the greatest common divisor of m and u.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 507*q**3 + 325*q wrt q?\nAnswer: 3042*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 0 = -r + 2*k, 26 = 3*r + 4*k. Let u be (18\/7)\/(r\/28). Solve -t = -5*t - u for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 210 * -152.\nAnswer: -31920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5*n = -15, -4*n + 9 = o - 3. Suppose -11*k + 98 = 5*u - 8*k, o = -5*u + 2*k + 118. What is the remainder when 158 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -1)*(3 - 0) + -94. Let q = z - -94. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**5 - 10*v**4 - 35*v**3 + 100*v**2 - 60*v.\nAnswer: 5*v*(v - 2)**2*(v - 1)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17528 is divided by 796.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 13*k - 7*k)*(-k + 2 - 2)*(1 + 0 - 2).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 4*d + 1. Calculate y(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 - 4*h**2 + h**2)*(0 - 4 + 3 + (0 + 0 - 2)*(-3 + 4 + 0)).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 111 + -59. Let d be 4\/(-12) + z\/3. Solve -h = 5*a + 21, 3*h = 3*a + d - 8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 765.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -28*u**5 - 92*u**4 + 144*u**3 + 272*u**2 + 64*u = 0?\nAnswer: -4, -1, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 + 19)*((-3*u**2 - u**2 + 2*u**2)*(4*u**2 - 3*u**2 - 3*u**2) + 0*u + 0*u + u**4) + (39*u + 190 - 190)*(0*u**3 + 3*u**3 - 6*u**3).\nAnswer: -22*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 5. Is y + 0 - -21*1 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 3:23 PM and 1:14 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7278 - -11027. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.1, 4, 12, -2\/5, -260 in ascending order.\nAnswer: -260, -2\/5, -0.1, 0.1, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 44560.\nAnswer: 1\/44560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2*m = -22074, 19353 = 7*u + m - 19264. Is 12 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -1 + 31*b - 1 + 1. Let c be h(-3). Let z = 135 + c. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**2*o**2 - 1868188*d**2 - 8670*d*o + 36*o**2 with respect to o.\nAnswer: -4*d**2*o - 8670*d + 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9581?\nAnswer: 11, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-57)\/(-2))\/(9\/60). Suppose -4*k = -t + 18. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6442116 divided by -189474\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0327? (a) -4\/5 (b) 5 (c) 4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26454632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 144 + -142. Find the third derivative of 19 + 121*i**f - 120*i**2 + 18*i**3 - 97*i**3 wrt i.\nAnswer: -474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5526 and -0.4?\nAnswer: -2210.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1307 + 1306. Which is the second smallest value? (a) 2\/7 (b) p (c) -0.09 (d) 48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.5 + 5.500074. What is h rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {o: 1, k: 1, g: 2, v: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**3 - 4866*y**2 + 199692*y + 418824 = 0.\nAnswer: -1662, -2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -s + 45, 4*s - 70 + 10 = 5*w. Let t(q) = -q**3 - 6*q**2 + 5*q - 10. Is t(w) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1, 0, 1, 2?\n\"Answer: k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - 306\/100)\/((-54)\/(-4344)). Let m = 4591\/1350 + i. Find the common denominator of m and 69\/22.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/1572 and -2\/8253.\nAnswer: 33012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 23 + 12*r**2)*(4 - 4 - 3*r) + (-2*r**3 - 3*r + 3*r)*(19 - 185 + 13).\nAnswer: 270*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 rounded to the nearest ten?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/y**(-5\/9))*y*y**(-2\/11)\/y*y**(2\/7)\/(y*y**(8\/9)) assuming y is positive.\nAnswer: y**(-1622\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 529*i - 529*i - 104*i**2 in the form b*i**2 + d + s*i and give b.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 274*x**5\/13 + 7394*x**4\/13 - 34084*x**3\/13 + 496*x**2\/13 = 0. Calculate x.\nAnswer: -31, 0, 2\/137, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (3008\/141)\/((-3)\/9)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of k**6\/90 + 23*k**5\/15 - 47*k**4\/6 + 8*k**3 + 119. Let t(m) be the third derivative of y(m). Let t(r) = 0. Calculate r.\nAnswer: -47, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**2. Let x(o) = 21*o - 1. What is x(h(g))?\nAnswer: -42*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*m + 5 = m, 21 = 4*h + 5*m. Let b = 21 - 14. Let k = b + -2. Solve h*i - 1 = k*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**4 - 762614*t**3 - 1525222*t**2 - 762610*t = 0.\nAnswer: -381305, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t, 1 e, and 1 q when four letters picked without replacement from qtqqqtqet?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z + 4. Suppose -5*n - 4*j + 488 = 0, -3*n - 5*j = -246 - 13. What is the lowest common multiple of n and u(-4)?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003883 rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 7 = -3*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 387*t**3 - 742*t**3 + 363*t**3.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 4*p - 16 = 0, -6*p + 12 = -5*x - 3*p for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2 + 24*q + 1. What is l(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**4 + 2*x**3 - 25*x**2 + 13*x. Let h(v) = -2*v**4 - 4*v**3 + 74*v**2 - 38*v. Let d(r) = -3*h(r) - 10*i(r). Factor d(p).\nAnswer: -4*p*(p - 1)**2*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u**2 - 4*u**2 - u**2 in the form x*u + z*u**2 + j and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -7. Suppose 0 = b*t - 60 - 0. Calculate the highest common divisor of 18 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103302413 - 132?\nAnswer: -103303100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -913 divided by 2.\nAnswer: -913\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**5 + 12*z**2 - 12*z**2 + z**2 + z**5 - z**2 + (-2*z**2 - 2*z**2 + 2*z**2)*(-3 + z**3 + 3).\nAnswer: -4*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 7*h + 4. Let q be m(-7). Suppose 0 = q*w + 2*w. Suppose -3*x + w*x - 5*b = -102, 5*b + 130 = 5*x. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 449561581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z. Let p(x) be the second derivative of -7\/6*x**3 - 2*x + 0*x**2 + 0. Calculate n(p(u)).\nAnswer: 14*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/105 + -2 + 25984\/30. What is the greatest common divisor of 32 and n?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 224068, 448139, 672212, 896287, 1120364, 1344443, 1568524?\nAnswer: 1792607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 2*i - 14, 6*i - 9*i = 2*b + 1. Solve 16 = -b*r, -48*r - 6 = -5*y - 44*r for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 220192 = -4*o, -5*y - o - 44037 = -6*y. What is the hundreds digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*r - 5*u, 9 = -2*r - 0*r - 3*u. Let v be -2 + 0 - (1 - 2). Let z = v - r. Is z >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -481*x + 1566*x + 1910 = -341*x - 25184 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2730, 2732, 2734, 2736, 2738?\nAnswer: 2740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2603482 and 850?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 45\/20*8*1. Let f be 40\/q + 10\/(-45). Suppose -3*h = -8*h - f*y, 5*h + y = -5. Put 5, h, -6 in ascending order.\nAnswer: -6, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105365966 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 936 + 8010*x + 212*x**2 + 7554*x + 7625*x - 22403*x + 18*x**3.\nAnswer: 2*(x + 3)**2*(9*x + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -74*r - 3079 + 859. Let f be (-29)\/1 - 2\/(-6). Is r < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - q - 4*q - 725, 139 = -t + q. Let s = 144 + t. Solve 5 = 4*v - 3*v - s*o, -5*v - 2*o = 11 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13897 + 148*d - 13897 + 42*d.\nAnswer: 190*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v - 10*v - 9*v - 16*v.\nAnswer: -29*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3211 - 3211.11. Are -0.024 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*k + 2*k. Let a = 1849 - 1847. Let r(w) = 0*w - 4*w**k + 5*w**a + 2*w + 4. Give r(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21020 (base 4) in base 9?\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.19, -1\/9, 16\/11, -2.\nAnswer: -2, -1\/9, 0.19, 16\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -7943 + 2645 + 2656 + 2*f + 2642. Let h(z) = -135*z**2 + 9. Calculate w(h(y)).\nAnswer: -270*y**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -102410 + 281571. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w + 0*w + 4*w**3 - w - 13390 + 26844 - 13393 - 2*w**4 to j*w**3 + v*w + i + u*w**2 + a*w**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**3 + n**3 + 29*n**2 + 5*n**3 + 32*n**2.\nAnswer: 2*n**3 + 61*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 84.2 + -84. Sort 0.3, -3\/4, x, 0.04.\nAnswer: -3\/4, 0.04, x, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**3 - 84*g**2 - 156*g - 76 = 0. Calculate g.\nAnswer: -19, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 84*s - 65 - 439 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -181 + 914. List the prime factors of w.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17985 (base 15) in base 11?\nAnswer: -52445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0.02 (b) 3 (c) -2\/13 (d) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 6*p + 12. Let y be j(-4). Let k(f) = f**3 - f**2 + f + 18. Let t be k(0). Solve -y*s + t = -3*r, 5*s = r - 3*r + 11 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -686*d - 1873*d - 677*d + 3246*d.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -378, 5, -5 in decreasing order.\nAnswer: 5, -5, -378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 271443733*g**3 + 8540548*g**2 + g wrt g?\nAnswer: 1628662398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k - 4. Let d be j(1). Let u(h) = -h. Let p(r) = r - r**2 - 5*r - 2*r. Determine d*p(z) - 6*u(z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9146.92905 microseconds in weeks?\nAnswer: 0.000000015123890625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8836, -32713, -72500, -128197?\nAnswer: -199804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence smq when three letters picked without replacement from uiqms?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 613 - 634 - (-6)\/((-5)\/(-5))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9\/13 or 128\/7?\nAnswer: 128\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = h + 3. Suppose 0 = -h*y - 64 + 329. Let z = 106 - y. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11592810 = 9*n - 1422810. What is n rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94230720, 188461445, 282692170, 376922895, 471153620?\nAnswer: 565384345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 a when three letters picked without replacement from qngagqaqghaaanaqqan.\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 3 - 11\/(33\/(-6)). What is the highest common divisor of 15 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 8799\nAnswer: 26397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 96422 by -2606.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 340269?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h**3 - 7*h**2 - 7*h - 11. Let w be j(-4). Solve 93 = 128*l - w*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7373 and 2705599.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/8*8\/12. Let f(w) be the second derivative of m*w**4 - w**2 - 7\/20*w**5 - w + 0 + 7\/6*w**3. Factor f(y).\nAnswer: -(y - 1)*(y + 1)*(7*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2551435.\nAnswer: 5, 510287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1\/10, 66\/37, 1\/6, 1\/5 in descending order.\nAnswer: 7, 66\/37, 1\/5, 1\/6, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 102.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30975360?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, j: 1, g: 1, e: 4}. What is prob of picking 2 p and 1 e?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/2 - (-9 - 85)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14480701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 4) + (4 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -y - 1. What is the least common multiple of (2 - (-2 - 2)) + y and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6450.69 rounded to the nearest ten?\nAnswer: 6450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rinrndf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4772*h**4 - h**3 + 2*h**2 + 169*h + 2 wrt h?\nAnswer: -114528*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((6*(0 + sqrt(117)) - sqrt(117) - sqrt(117))**2 + sqrt(117) + -3 + (sqrt(117) + -1)**2).\nAnswer: -7948 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 473 = 461 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*d**6 + 0*d**3 - 3*d**6 + 0*d**3 - 10*d**2 wrt d?\nAnswer: -1920*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**6\/300 + r**5\/30 + 2*r**4\/15 + 4*r**3\/15 - 20*r**2. Factor j(h).\nAnswer: 2*(h + 1)*(h + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 614178958, 614178961, 614178964?\nAnswer: 614178967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 1 = -2*f. Which is the nearest to f? (a) -2\/7 (b) 1\/10 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 694421173.\nAnswer: 31, 4519, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -16\/3*d + 1\/6*d**2 - 24 = 0. What is d?\nAnswer: -4, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -761, 1, -8 in decreasing order.\nAnswer: 1, -8, -761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-4)*(-20)\/450*10?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t - 16*t + 52*t)*(-10*t - 12 + 12) - 5*t**2 + 3*t - 3*t.\nAnswer: -295*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/300*-50*3*136\/(-30)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -23 + -7 + (17 - -4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -6*p**2. Let s(g) = -29*g - 11. Let k(a) = -15*a + 1. Let z(d) = 2*k(d) - s(d). Give z(n(f)).\nAnswer: 6*f**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21008 - -2655. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1541221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmm. Give prob of picking 2 m.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 0. Suppose p*g - 3*f = -23, -4*g + 2*f - 58 = -0*g. What are the prime factors of (-61)\/(-4) + 4\/g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tzhz when four letters picked without replacement from tttztaatzhtzct.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**4 + 3*i - 6*i + i + (-2 - 5 + 0)*(-5*i**4 + i**4 + 3*i**4).\nAnswer: 6*i**4 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -31*y**6\/40 + 13*y**4\/12 - 190*y**2. What is the second derivative of x(v) wrt v?\nAnswer: -558*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g, 4*v = 5*v - 3*g for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4\/727 (b) 10\/29 (c) 4 (d) -4 (e) -5 (f) -0.02 (g) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6268 - 0.2068. Which is the fifth smallest value? (a) 5 (b) 2\/7 (c) 5\/6 (d) -3\/4 (e) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 4622958.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 169, 340, 511?\nAnswer: 682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 196511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 578021 is divided by 1467?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -1478?\nAnswer: 1481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5640\/(-224))\/(-5) + (-3 - 2). Let x(n) be the second derivative of 0 - 3\/14*n**2 - 13*n + 1\/7*n**3 - u*n**4. Factor x(w).\nAnswer: -3*(w - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -5*r**2 - 2*r - 1. Let j be n(-1). Let f be j\/(1 + (-1 - 1)). Suppose 9*o - f*o = 20, o = m - 325. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 694088.\nAnswer: 5\/694088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000026226 rounded to seven dps?\nAnswer: 0.0000262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2299\/4 - -575. Let x(g) be the second derivative of o*g**4 - 13*g + 0 + 5\/3*g**3 + 0*g**2. What is the second derivative of x(f) wrt f?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133421035.\nAnswer: 5, 11, 2425837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 61*r - 2496. Calculate z(89).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 3*b + 1. Give c(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}