diff --git "a/data/dm_maths/full_data_2/1053_11255.jsonl" "b/data/dm_maths/full_data_2/1053_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1053_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the value of (-9)\/2 + 2714\/(-236)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-24)\/(-10))\/(6\/285). Find the second derivative of -o*u - 114*u - 153*u - 20*u**2 + 323*u wrt u.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1.146 (b) 2 (c) 1\/8 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.13523 + -2.13523. Suppose 30 = -4*x + 10, 0 = 5*q + 3*x + 20. Let l be (q\/14)\/((-2)\/(-4)). Sort 3, l, -3, i in increasing order.\nAnswer: -3, i, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x**6)\/x)\/x)\/x**(1\/2))\/(x**(2\/5)\/(x**(1\/8)*x))*((x**1)**(-2\/17))**(2\/53) assuming x is positive.\nAnswer: x**(188149\/36040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -7. Suppose 0 = t - 2*i - 5 + m, -3*t = 4*i - 6. Solve 4*j - 5*b - 1 = 0, -5*j - 8 = 5*b - t*b for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 713, 708, 699, 686, 669?\n\"Answer: -2*h**2 + h + 714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1779.21 + 1780.54911. Let f = 1.34 - g. Round f to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -54*g**2 + 11538*g + 15482. Give l(215).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 17*h**2 + 3. Let q be l(-17). Solve -2*u - q*u - 2 = -g, u = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -6*i**2 - 2*i + 3. Suppose 2*o = -0*t + 5*t + 31, 2*o + 11 = -t. Let j(y) = 19*y**2 + 7*y - 10. Give t*w(m) - 2*j(m).\nAnswer: 4*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -238\/27. Is p at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116 and 24795.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 579 is divided by 169?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + d - 157 = -60, 31 = 2*j + 3*d. Solve 3*t + j = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 3562*r + 2. Let h(g) = -13*g. Determine n(h(p)).\nAnswer: 169*p**2 - 46306*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4744 - 8706 = -42*g - 4550 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*t**2 - 2*t + 1 + 1 - 15*t**2 + 4*t to the form q + i*t + a*t**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bhowzzz. What is prob of picking 3 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 7 + 4*s**3 - 3*s**3 + 2*s + 8*s**2 - 9*s**2 in the form y*s**2 + z + p*s**3 + i*s and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14940 + -672506\/45. Let o = 46\/45 + i. Calculate the common denominator of (-149)\/20 + (-18)\/(-24) and o.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11761.788 and 4?\nAnswer: -47047.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30021033 - -110?\nAnswer: 30021143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a litre in millilitres?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of -23*r**4\/24 + r**3\/6 + 2*r**2. What are the prime factors of l(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 78.561233 - 78.20123331. Let t = 1.86 - 1.5. Let w = t - j. Round w to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -253 (base 10) to base 14.\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c**2 - 2*c - 2*c + 5*c + 0*c. Let b be w(-1). Solve 5*x - b*x + 9 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -294, -280, -266, -252?\n\"Answer: 14*j - 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -212665 (base 7) to base 2\nAnswer: -1001000010110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -0*x - 2*x, -5*i = -x + 18. Suppose -14 = d - x*d. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 268050429889589293\/31590 + -8485293762113. Let k = 337996\/195 + w. Let d = -4\/243 + k. Find the common denominator of 64\/3 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*a**5 + 7\/3*a**2 + 5*a**3 + 0*a + 3*a**4 + 0.\nAnswer: a**2*(a + 1)**2*(a + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -3*y + 354. Let h = -117 - y. Which is bigger: 2\/119 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 189210475?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*h + 2 = -5*p, 3*p + 1 = -2*h. Let x be 2 - (6 + p) - -7*1. What is the greatest common factor of 32 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 7*i = 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1538983396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1997166000 to the nearest one million.\nAnswer: 1997000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1217?\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence szz when three letters picked without replacement from {s: 1, z: 18}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228*m = 230*m - 80. Let x(p) = 2*p + 8. Let q be x(-5). Which is the smallest value? (a) 0.1 (b) q (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 - 2 + 4)*(-1 - 2 + 0) + 2 - 4 + 1)*(-5*h**2 + 3*h**2 + h**2).\nAnswer: -11*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(2 + -1774) - 16\/((-144)\/27). Is 4 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = q - 646, -u + 2*q + 329 = q. Let p = u + -527. Does 5 divide (-2)\/9 - p\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*w + 253*w + 154*w in the form u*w + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1854999 or 1854997?\nAnswer: 1854997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*m + 3440 + 52*m - 3440 + 3*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one halves of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13244 (base 5) in base 7?\nAnswer: 3063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (26 - 10 - 11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 34.12 (b) 4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ldeeeelexeeeeeeee. What is prob of picking 1 x and 1 l?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 6.737, -1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 7*t**2 - 9*t - 63. What is i(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 - 42. Suppose 0 = 3*r - v - 3, -3*v = 5*r + v - a. Let t(d) = 9*d**3 - d + 1. Determine t(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 707.616ml?\nAnswer: 0.707616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 8 = 1. Suppose r - a*r = -14. Suppose -2*j - 53 = -5*j + 2*c, 2*c = -j + r. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.29 less than 0.189176328987?\nAnswer: -1.100823671013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -2*q - 4 - 2, -2 + 7 = 3*q + s for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17554 - 1597376\/91. What is the common denominator of m and -53\/26?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144654 less than -337024?\nAnswer: -481678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000398271534 rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t + 101153 - 100755 = -5*m, 3*t + 4*m = -292 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -j**4\/2 - 17*j**2\/2 + 50*j. Let p(x) be the first derivative of o(x). Let d(t) = 5*t. What is p(d(g))?\nAnswer: -60*g","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is -2919912.987 rounded to the nearest 100?\nAnswer: -2919900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22333, -45356, -68375, -91390, -114401, -137408, -160411?\nAnswer: -183410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and 455.6842.\nAnswer: 455.8842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**3 - 5*p**2 + 165*p - 315.\nAnswer: -5*(p - 3)**2*(p + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3 + 5 - 185632*s + 185638*s. Give p(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-2*sqrt(605) + -2)**2*-6 + -2).\nAnswer: 2640*sqrt(5) + 72730","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(77)\/(sqrt(7) - (sqrt(7) + sqrt(7)*-1)) + 1)**2 + -3 + -5.\nAnswer: 2*sqrt(11) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 7 = r + 10, -k + 1 = r. Let w(s) = -s**2 - 6*s + 1. Let v be w(-7). Let o = v + 15. Calculate the highest common factor of k and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of r**4\/6 - r**3\/6 - r**2\/2 - r. Let w = -27 - -29. Let h be s(w). Solve -a = -6*i + i - 25, -3*i + 13 = h*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, p: 5, g: 6, r: 5}. Give prob of sequence gpp.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 q when three letters picked without replacement from {x: 12, q: 5, w: 1}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 554.5306 millilitres?\nAnswer: 0.5545306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**3 + 5*h**2 - 5*h + 32. Let a be d(-7). Let m = -162 - a. Is 21 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 21. Let t be (2 - h)\/(1\/(-11)). What is the remainder when 41 is divided by (2 - 1) + (-2 - t)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -525 - -547. Suppose -21*d - 5273 = -b*d + 2*s, 5*s = -4*d + 21092. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9362498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -0 + 2. Let w be 3\/((-76)\/(-72) - d). Suppose 3*y + 0*y = w. Calculate the highest common divisor of y and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + 0.2. Let k be 4 - (1\/1)\/(-1). Let x be (-6 + k)\/(0 - 5). What is the smallest value in x, -0.1, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/184 and 69\/64?\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - 10. Let i = q - -15. Suppose 5*m = -i*v + 1 + 8, 2*v = -6. Solve 5*s + 2 = -m for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.9901 to 2 decimal places.\nAnswer: -1.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**2 + 0*m**4 + 2*m**2 - 1 - 3*m - 2*m**4 - m**3 in the form u*m + c*m**2 + p*m**4 + o*m**3 + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -0.208, -2, 0.3, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(240) + -1*sqrt(240))\/sqrt(10) + sqrt(24) - sqrt(24))\/(1*sqrt(72)) + -5)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*l**3*r**3 - 7*l**3*r*z - 3*l**3*r + l**3*z + l**2*r**3*z - l*r**2*z wrt r.\nAnswer: -102*l**3 + 6*l**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6307.096l to millilitres.\nAnswer: 6307096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/(-6) - -1)*-6. Let d be (3\/2)\/((-6)\/(-8)). Suppose d*q = f*r - 0*r + 2, q = r + 2. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-27)*(-17 + 14). Determine m, given that 2\/3*m**2 - 1\/3 - 1\/3*m**4 + 1\/3*m - 2\/3*m**3 + u*m**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**3 - 3*k**3 - k - 4*k + 7167.\nAnswer: -k**3 - 5*k + 7167","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - a + 5*n = -35, 5*n = -a + 25. Suppose -3*q = -0*q - a. Let h = q - -6. What is the lowest common multiple of 2 and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38524869 to the power of 1\/2, to the nearest integer?\nAnswer: 6207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirty-four fifths of a kilometer?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/8 and -19\/44.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.05401*6442\nAnswer: 347.93242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + (-10)\/5 + 6. Let n(s) = -2*s - 2. Give n(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -189, -199, -209?\nAnswer: -219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2422033 (base 5) to base 15\nAnswer: -d62d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1147 = -186*a + 1509 - 796 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/68 and 117\/374.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.07, 1\/5 in decreasing order.\nAnswer: 1\/5, 0.07, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35184493 is divided by 915.\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(288)*3 + -4).\nAnswer: -20 + 180*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10440442 + -2?\nAnswer: 10440440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 6*o - 1. Calculate the remainder when 19\/((-4 + 0)\/(-4)) is divided by t(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/99 and 69\/44.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002 rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*u - 175*u - 21 = -2*s, 4*s + 3 = 3*u for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*o + 817 - 414 = -2903 for o.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 1, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 83 and 39.\nAnswer: 3237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d - 3*x - 16 = 0, -44 = -4*d - 4*x. What is the highest common divisor of d and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(0 + 2\/(-8)). Suppose 0 = 21*g - l*g + 23. Let a = 42 + g. What is the remainder when 32 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 - u**2 + 44*u**3 + 11*u**3 + 10*u**2.\nAnswer: 55*u**3 + 8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 4*r + 25, -3*u - 5 = 4*r + 18. Let j(c) = 3*c**2 - 2*c - 1. Let q be j(u). Solve -2*v - 11 + 32 = -3*g, -13 = q*v + 5*g for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 9*d - 43. Let g be c(10). Let w be 1\/(((-8)\/(-58))\/(-4)). Let y = w - g. Solve 0*h = 3*b + y*h - 11, 4*b - 24 = 4*h for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004939449 rounded to four dps?\nAnswer: 0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 7, 5, -2 in increasing order.\nAnswer: -2, 5, 7, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 8, f: 5}. Give prob of sequence wwff.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -1\/134 (b) -3 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 24*q**2 + 8*q + 718. Let w be y(-23). Solve 5*p + w - 15 = 0, -3*t - 3*p = -18 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.216129+-3739663236\nAnswer: -3739663236.216129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10220 (base 3) in base 14?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20533 - 6840 - 6844 - 284*p**3 - 6850.\nAnswer: -284*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(891) - (sqrt(891) + sqrt(891) + 2*sqrt(891))*1 - 4*(sqrt(891)*1)**2) + 1.\nAnswer: -3563 - 27*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 12*m + 1. Let q be y(12). Let a be 6\/6 + (q - 1). Suppose -5*s = 2*p - 3 - a, -4*p = -s - 52. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -39.6? (a) -0.1 (b) 0.01 (c) 3 (d) 139\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 + -15. Let g(j) = 7*j - 3. Let d be g(-3). Let q = b - d. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0 + 7 = f, -5*q - 13 = -2*f. Let r be 6\/39 + 7425\/325. Solve -4*g + 8 = f*d + 20, 3*d - r = 5*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1912.7 plus -137048284?\nAnswer: -137046371.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 4445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1303575, 1303574, 1303573, 1303572, 1303571, 1303570?\nAnswer: 1303569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 5:04 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2760\/(-1610) + 58\/(-7). Sort 4, -2, y, -8.\nAnswer: y, -8, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 + 2*r**2 - 5*r**2)*(1 + r - 1) + (0*r**2 + 3*r**2 - 2*r**2)*(-1 + 0 - 2*r - 1).\nAnswer: -4*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**5 + 1310*s**4 + 116120*s**3 + 3629200*s**2 + 13164880*s + 12721120.\nAnswer: 5*(s + 2)**2*(s + 86)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 294 and 20540.\nAnswer: 3019380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -446*v - 441*v - 438*v + 1759*v - 442*v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 10*v - 1. Does 47 divide l(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75953 and 4527.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-80)\/(-24))\/(2\/3). Suppose 4*o - 12 + 32 = 2*b, j*o = 2*b - 19. Let u be 21\/14*32\/6. Calculate the highest common divisor of u and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 436245 or 436242?\nAnswer: 436245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 339, 335, 329, 321, 311, 299?\n\"Answer: -v**2 - v + 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 435827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -61a (base 11) in base 7?\nAnswer: -2115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nfh when three letters picked without replacement from hffnnhhhhf?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30672 - 30662. Solve 797 = -a*w + 707 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 7:49 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a**3 + 20*a**2 + 116099*a + 51990921.\nAnswer: -6*a**2 + 40*a + 116099","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t - 3. Let z be (9 - 0*(-1)\/(-3)) + 0. Suppose 9 = 12*y - z*y. Determine l(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 348 - 368. Let r(b) = b**3 + 23*b**2 + 25*b + 40. Is r(j) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7392 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 + 69\/2. Which is the closest to d? (a) -4 (b) -0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/13 + 20\/299. Is 1 less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24368 divided by 3046\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 262708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 329 a factor of 36472940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) -7 (c) -18\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**5 + 3*n - 3*n + 2*n**5 - 2*n**5 - 2*n**5 + (1 - 1 - 2*n**3)*(n**2 - 4 + 4) - 2*n**5 - 2*n**5 + 3*n**5.\nAnswer: -7*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 8.19913 years?\nAnswer: 0.0819913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1398 (base 15) in base 14?\nAnswer: 1757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**3 - 3*m**2 + 9*m + 10. Let q be i(-1). What is the closest to q in 2\/13, 5, 3\/8?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b + 4. Let y be g(4). Suppose 6 = -3*h, -2*h - 6 = -3*u + 13. Suppose -1 = -5*t - 21, 2*t = 4*n - 88. Solve -l + u*l + n = y for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**7\/210 - 257*i**6\/40 + 197*i**4\/24 + 2622*i**2. What is the second derivative of f(d) wrt d?\nAnswer: -12*d**2 - 4626*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 11*v**2 + 7*v - 65. Let y be p(11). Let b(c) = 6*c**3 + c**2 + c + 1. Let r be b(-1). Sort r, y, 4 in descending order.\nAnswer: y, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.172 - -7229?\nAnswer: 7228.828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r. Let b(m) = -4 - 1 - 6*m - m. Let n(w) = -28*w - 21. Let i(u) = 21*b(u) - 5*n(u). What is i(k(f))?\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -374, -709, -1054, -1415, -1798, -2209, -2654, -3139?\n\"Answer: -l**3 + l**2 - 331*l - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1243238?\nAnswer: 2, 621619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 2292.\nAnswer: 4584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-243*x + 243*x + 218*x**2)*(3*x**3 - x + x).\nAnswer: 654*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 2*n + 3*n, 14 = 2*n + 2*k for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 928508 to the power of 1\/2, to the nearest integer?\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + l + 12 = 0. Suppose 0 + 36 = -l*y. Find the common denominator of 6\/y - 23\/3 and 41\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 * -3082\nAnswer: -49312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11203379?\nAnswer: 11, 1018489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -9 + 1. Let w = -139 + 94. Let j = 50 + w. Sort j, -5, a in decreasing order.\nAnswer: j, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**3 - 28*x**2 + 30*x - 51. Let u be q(13). Solve t + u = -3*a, -7*a + t = -6*a + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3}. Give prob of sequence uu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 29*p + 41. Let o(s) = s**3 - s**2 - s - 1. What is the remainder when r(-28) is divided by o(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from amymgghahvyaghg. What is prob of sequence hv?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 + 2231*i**2 + 300*i**2 + 1109*i**2 + 85.\nAnswer: 3640*i**2 + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2721515*s**2 - 3335145 wrt s?\nAnswer: 5443030*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 312330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 7*m + 15 = 0. Let s(u) = -5*u + 3*u**2 + m*u. Let l(i) = -i**2. What is l(s(j))?\nAnswer: -9*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uruehrueuemer. What is prob of sequence rhru?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 s, and 1 y when four letters picked without replacement from {y: 3, c: 1, s: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -10 + 7 + (-2 - (-3 + 1))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b**3*l + b*l - 33*b*n**3 - 8*l*n**3 - 3*l*n + 5 wrt b.\nAnswer: -3*b**2*l + l - 33*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1033 - 1121) + (29 - 0).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - (1092\/28 + -18)) + -3 + -49?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q - 2*k + 4597 - 4582, q + 4*k = -3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 24, 46, 76?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (184\/(-138))\/(68\/(-6)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/6*10\/3. Suppose -d*i + 70 = v - 0*v, 3*v - 5*i = 170. What is the greatest common factor of 24 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 2:43 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 440*o**4 + 507 wrt o.\nAnswer: 1760*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 5*n - 53, n - 6*n + 77 = 4*d. Let t = 9 - n. Let z(w) = w**3 - 13*w**2 - 31*w + 13. Let u be z(15). Sort u, 1, t in ascending order.\nAnswer: t, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*c - 22*c + 12*c + 51 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 179774672 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a kilogram in grams?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-77)\/(-19) - (-22)\/(-418).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 + 16 + 1)*(-3*g + g + g)*(52*g**2 - 26*g**2 + 27*g**2) to the form a + y*g**2 + w*g + q*g**3 and give q.\nAnswer: -1696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.073 times -0.2?\nAnswer: -0.0146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/10*-1*30\/24?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 j, and 1 s when three letters picked without replacement from {f: 1, p: 1, v: 1, s: 1, q: 2, j: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(10) - sqrt(90))\/sqrt(5) - (-4*sqrt(32) + sqrt(2))) + (sqrt(2) - (2 + 1 + sqrt(2)))**2 + (-4 + sqrt(18))**2.\nAnswer: 15*sqrt(2) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8287 = 12*k - 823. Let z = k - -1868\/3. Find i such that 4\/9*i + 2\/9*i**3 + 0 + z*i**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6b47 - 1?\nAnswer: 6b46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.706 + -4.294. Let d = -607\/1012 - -5\/92. Which is the closest to 1\/5? (a) 0 (b) x (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yqqp when four letters picked without replacement from {p: 5, q: 3, y: 1, m: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.26156171 to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 10*y + 71. Suppose 144 = -11*p - 5*p. Let a be b(p). Let q = -17 - a. Solve 0 = 3*w - m + 6, -9 = 2*w + q*m + 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/21)\/(-5*2\/(-8875)). Let y = a - 106199\/210. Calculate the common denominator of y and 17\/21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 472 - 12452?\nAnswer: -11a90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1434593 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33120?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -96*o**2 - 81*o + 4. Let g(t) = 49*t**2 + 41*t - 2. Let k(x) = -7*g(x) - 3*p(x). What is the second derivative of k(w) wrt w?\nAnswer: -110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 991 is divided by 117?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 301 - 267. Calculate the highest common factor of 34 and q.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s + 36. Give d(44).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**(-3)*f)*f)\/f)\/(f**(-4)\/f))\/(f**(-6)\/f**(-2)) assuming f is positive.\nAnswer: f**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -426221648 and 0.29.\nAnswer: -426221647.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -60609 - -85696. Is 65 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1612 or -1628?\nAnswer: -1628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 30 + 54 + 36402*x**3.\nAnswer: 36402*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l**4 + 14*l**3 - 46*l**2 + 10*l + 12 = 0 for l.\nAnswer: -3, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/2 + 133*z**2 - 263*z\/2 - 265.\nAnswer: -(z - 265)*(z - 2)*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (911\/911)\/((-72)\/((-4)\/2)).\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 5:24 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**4 + 171*s**3 + 7364*s**2 + 59856*s - 67392 = 0.\nAnswer: -108, -52, -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u + 4*d + 16, -2*u + 3*d = -113 + 107 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -82 + 90. Suppose -2*z - 4*h + 6 = 0, -3*z = 2*z + 3*h - x. Let m(r) = -20*r**2 + 2 - 3*r + z + 19*r**2. Give m(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-4 - -6 - -1 - 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 6*h + 23 = -4*z, z + 11 = 3*h. Suppose v + 27 = 5*j, -5*j - 4*v + 3*v = -33. What is the greatest common factor of h and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.8 - 53.8. Let z = -49.023 - f. Let d = 0.0152 + z. Round d to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190*q + 414*q + 52*q.\nAnswer: 656*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 263*f**2 + 176*f**2 + 9*f**2.\nAnswer: 448*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3*((sqrt(80)\/sqrt(2))\/sqrt(8) + sqrt(50)\/sqrt(1000) + 4)*-1)**2.\nAnswer: -3969\/10 - 792*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dudd when four letters picked without replacement from sydydyydddyydyyuysu.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-11 - (-17 - 0)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -10, -1\/7, 12469?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 51\/(-68) - (-1)\/(-4). Let k(z) = 25*z + 20. Let m(b) = b + 1. Let o(n) = d*k(n) + 20*m(n). Give o(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5146 is divided by 681.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 130396 + 408455 = -5*m, -m + 4 = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -556*o + 983*o - 929 = 2487 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 v when two letters picked without replacement from hwwiiiiiiviivvvi?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 255*y**2 + 0 + 21675\/2*y + 3\/2*y**3.\nAnswer: 3*y*(y + 85)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*g = 206*g + 3120 for g.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11 - 52?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((3\/1)\/(-3)). Is -1 + ((-2)\/a - -62) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + 3. Suppose 5*v - v - 92 = 0. Calculate the remainder when v is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 888689821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, 53, 21, -25, -85, -159?\nAnswer: -247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (-1 - 7 - -27) + 0 + 0 - -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.07104 decades in years?\nAnswer: 350.7104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -53775*n**2 + 53785*n - 10.\nAnswer: -5*(n - 1)*(10755*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qggojtocjtqgqtt. What is prob of picking 1 j, 1 t, and 1 g?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7}. Give prob of picking 4 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25.93, -1\/15, 2 in decreasing order.\nAnswer: 2, -1\/15, -25.93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1814850 is divided by 102.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 0.18 (c) 100\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1029621 = -6*a + 3*a. Let d = -220518 - a. Let x = -69689 + d. What is x rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2590)\/(-30)*(11 + (20332\/(-91))\/23)\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14, 12, -2, -34, -90, -176, -298, -462?\n\"Answer: -u**3 + 5*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 85 - -5?\nAnswer: 8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**7)**(-10)*(b**(-2\/15))**(-50) assuming b is positive.\nAnswer: b**(-190\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 9:38 PM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -1 + 1 + 12*o**2. Let t(q) be the second derivative of -q**4\/6 - 102*q + 3. Determine t(w(s)).\nAnswer: -288*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -2*t**3\/3 - 19. Let k(n) = -2*n - 12. What is k(o(m))?\nAnswer: 4*m**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*x - 97*x = -15. Suppose 2*g - i = -2*i + 9, -4*g + 2*i = -30. Solve -x*q + g - 16 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 - 45*f**2 - 21 + 41 as g*f**2 + i + l*f and give g.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 9, a: 1, v: 1, t: 1, n: 8}. What is prob of sequence vbab?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1099, -1130, -1165, -1204, -1247, -1294?\n\"Answer: -2*j**2 - 25*j - 1072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4142 times 1366?\nAnswer: 5657972","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 16\/65 + -3\/65. Let b = 0.4 - 0.3. Sort 2, i, b in ascending order.\nAnswer: b, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, o: 2, k: 1, z: 1, n: 1}. Give prob of sequence naok.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62604?\nAnswer: 2, 3, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 5 + 25 = 0. Let m(y) = -33*y**2 - 4 - a + 21*y**2 - 9. Let q(t) = -5 + 34*t - 5*t**2 - 34*t + t**2. Determine 5*m(r) - 16*q(r).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -l**3 - 9*l**2\/2 + 76. Let m be x(-2). What is the highest common divisor of 18 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from yyyyyyyyfyyyyff.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 891 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0233 in -31, 2\/37, 1, 4?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p**2 + 0*p**2 - 2*p**2)*(2*p**2 + 0*p**2 - p**2) + (-2*p**2 + p**2 + 0*p**2)*(2*p**2 - 6*p**2 + 0*p**2) - 5*p**4 + p**4 + 2*p**4.\nAnswer: 5*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 933.61 rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 31, -0.12, 3, -10?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -12*n**2 - 76143*n - 19035 = 0.\nAnswer: -6345, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**2\/15 - 104*l\/5 = 0 for l.\nAnswer: -156, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*z**5\/5 + 572*z**4\/5 + 232*z**3\/5 - 112*z**2\/5 = 0. What is z?\nAnswer: -2\/3, 0, 2\/7, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 17*h - 8. Let x(p) = -25*p + 9. Let k(l) = -3*c(l) - 2*x(l). Calculate k(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -979860 - 684135 + 362301 = -87*b. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.9 + -5.9. Let f = h - 4. Which is smaller: -0.001 or f?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -20, 1, 2, 10, -4, 47 in ascending order.\nAnswer: -20, -4, 0, 1, 2, 10, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 88*z - 160*z + 79*z + (-108 + 108 - 24*z)*(0 + 5 - 3))*(3*z**3 - z**3 - 3*z**3).\nAnswer: 41*z**4 + 9*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180, -184, -190, -198, -208, -220, -234?\nAnswer: -250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.041 in 1, 0.2, 1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*(6\/4)\/3. Let k be (-2)\/4*(-4 - -4). Sort k, x, -5 in descending order.\nAnswer: x, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.01 + -0.07. Let t = -0.07999944 - q. What is t rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19343.757 months in decades?\nAnswer: 161.197975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 0 + 1\/6*k**3 + 1\/15*k**5 + 1\/12*k**4 + 0*k + 5*k**2. Suppose 17 = -2*h - 3*l, -2*l + l = -4*h + 1. Give a(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58715)\/(-23486)*(13\/5 + 2 + 1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -122, -233, -346, -461?\n\"Answer: -v**2 - 108*v - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 99 = -2*u, 3*z - 4*z = -u - 37. Let b = u - -30. Let m(n) = -n + 12. Does 12 divide m(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 571*w**2 + 572*w**2 - 1140*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.479843 meters in micrometers?\nAnswer: 8479843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190339 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wyvy when four letters picked without replacement from wtvvwvytdwwvwvyw.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -41ec5 (base 15) in base 5?\nAnswer: -23143320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -120423\/19? (a) -1\/5 (b) 0.2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3890 is divided by 180?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*u + 12969 - 12563 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2265824, -4531648, -6797472, -9063296, -11329120?\n\"Answer: -2265824*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v + 21. Let b(k) be the first derivative of k**2 + 11*k - 217. Give -4*a(y) + 7*b(y).\nAnswer: -2*y - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18444 + -18363. Solve 21*g - q = -123 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j + 10 = 4*j, 11 - 26 = -3*a + 3*j for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1181 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**4 + 2*p**4 - p**4 + (2 - 2 + p)*(-2*p**3 + p - p) - 3*p**2 + 3*p**2 - 2*p**4 + 369 - 369 + 65*p**4.\nAnswer: 60*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*o**4 - 3*o**3 + 541*o wrt o?\nAnswer: -24*o**2 - 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1148768, 2296490, 3444212, 4591934, 5739656, 6887378?\n\"Answer: 1147722*z + 1046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 divided by 8?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n. Let h(j) = 13*j - 9. Determine 10*d(q) - 2*h(q).\nAnswer: -6*q + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/(-5))\/((-220)\/(-88))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 61877, 127219, 192559, 257897?\n\"Answer: -j**2 + 65345*j - 3467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20876047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 24347404 to the power of 1\/2, to the nearest integer?\nAnswer: 4934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*u = -23*u - 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m**3 - m**2 - 3. Let u(a) = 258*a**3 + 5*a**2 - 19*a + 21. Give 7*p(z) + u(z).\nAnswer: 230*z**3 - 2*z**2 - 19*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2)\/m*((m*m**(-2\/3))\/m)\/m)**(-24)\/((m*(m**1\/m*m)\/m*m)**(2\/7))**(-6) assuming m is positive.\nAnswer: m**(808\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*x**3 - x**4 + 4*x**3 + 3*x**2 - 4*x**2 + 0*x**3 + 4*x in the form v + u*x**4 + g*x + k*x**2 + a*x**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1036 + 1095. Calculate the remainder when 407 is divided by x.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -39*z + 1179. Determine b(30).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30795383?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m + 4. Let z be g(-4). Let b be z\/(-10) + (-32)\/(-20). What is the remainder when ((-6)\/9)\/(b\/(-42)) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*b + 7*b + 147630. List the prime factors of b.\nAnswer: 2, 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*k - 4 + 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 12 = -2*a + 7*a, 4*a + 4*n - 24 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1.2. Let b = 15.13 - 14.5. Let m = -0.23 + b. What is the biggest value in m, -2\/13, r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -p**4 + 22?\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4d (base 16) to base 2.\nAnswer: 1001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wzcwwccccwcncwzcnc. Give prob of picking 1 z and 1 n.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -129923b (base 13) in base 5?\nAnswer: -2444042410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a gram in milligrams?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4372 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/36 of a hour in seconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - 8. Let w(z) = 27*z**3 - z. Let o be w(1). Let a = o + c. Calculate the remainder when a is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - m**2 + m + 1. Let d be o(-2). Let h(j) = -5*j + 6. Let n = 2 - -2. Let u(p) = 4*p - 5. Give d*h(i) + n*u(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c - 2. Let h be x(2). Let f(g) be the second derivative of -1\/2*g**2 - 7*g + 1 - 1\/6*g**3. Let t(d) = 6*d + 8. What is h*f(r) + t(r)?\nAnswer: 2*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 3*o + 26 = 0, -126*c + 4*o + 32 = -129*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1986930821 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 11:38 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -31075245*y**4 - 217576575*y**3 - 186800510*y**2 - 299300*y - 120 = 0.\nAnswer: -6, -1, -2\/2493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*2\/(-5)*40\/6. Solve -2*l = 2*l - q, 4*l - 5 = -3*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-72)*4\/6\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 2*u**2 + 2*u + 1. Let s be h(-3). Suppose -s*j - 45 = -6*j - 5*f, 0 = -j - f + 15. Differentiate -25 + 66 + j*g**2 - 31 wrt g.\nAnswer: 20*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -848, -207, -3\/8, -5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 g when three letters picked without replacement from gbbtbtbbbkggbbkkb.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 16*q**7\/21 - 4*q**3\/3 - 36*q - 15. Let z(n) be the first derivative of w(n). Find the second derivative of z(j) wrt j.\nAnswer: 640*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y + 32*y - 928. Suppose 4*m = 29 + 15. Calculate the lowest common multiple of y and m.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -8*d**2 - 3*d - 102. Let t(g) = g**2 + g. Let u(l) = q(l) + 6*t(l). Let i be u(0). Which is smaller: i or -103?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/(sqrt(2)*-1)*-1)\/(sqrt(40)\/(sqrt(5) + -6*sqrt(5)*2)).\nAnswer: -11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -168695, -674782, -1518263, -2699138, -4217407, -6073070?\nAnswer: -8266127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*l**4 - 1070*l**3 - 10538*l**2 + 9870*l + 1764 = 0.\nAnswer: -21, -2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t. Let q be r(9). Let x be (-8)\/(-12)*q\/(-6). Suppose -2 = -c - 0. Solve c*n + 10 = -a, -3 = -3*n - x*a - 21 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/7)\/(m\/(m\/(((m**(-3\/32)*m)\/m)\/m)))*m**22*m*m**(-12\/7)*m assuming m is positive.\nAnswer: m**(739\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + 10. Let i be (8\/w)\/((-14)\/(-98)). Suppose -4*f - 3*u - 51 = -5*f, 0 = i*u + 4. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fznlnnfxfxxfx. Give prob of picking 1 f and 2 x.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**3 + 2*b + 8 + 3*b**3 - 5 + 2*b**2. Let h be r(-2). Let w be 1*(2 - (1 - h)). Solve w = f + 7 - 4 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1056*x - 1055*x + c = -c, 5*c = -2*x + 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -69*r - 108*r**2 + 392 - 393 - 32*r**2 wrt r.\nAnswer: -280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7138322 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 2\/1)*0. Suppose 0 = -5*d - 4*v, -v = 3*d - r*v. Suppose d = 3*q - 15, -3*n + 2*q - q = 2. Sort 0, 5, n in descending order.\nAnswer: 5, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lpqldqlla. What is prob of picking 1 a and 2 l?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bwzzuzxzkwkzkxbu. What is prob of picking 1 w and 1 z?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.53, 1, -82698.\nAnswer: -82698, 0.53, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108790 and 524722.\nAnswer: 112815230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345 is divided by 70.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 7*u - 4*u**2 - 7*u + 5*u**2 + 0*u**2. Let d(f) = 149*f**2 - 2*f. What is r(d(q))?\nAnswer: 22201*q**4 - 596*q**3 + 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -3 + 5 + -3 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 694\/11 in 3, 244, -2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*l - 205808 = -941*l - 340*l - 1188*l for l.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 take away -0.374882?\nAnswer: 0.404882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 2\/33*w**4 + 3\/110*w**5 - 4\/33*w**3 + 0 - 1\/231*w**7 - 2\/165*w**6 + 3*w + 0*w**2. What is d in q(d) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8140\/(-1980)*51\/(-629) + (-392)\/(-3).\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + 0. Suppose -138 = h - t, 3*t + 380 = -3*h - 28. Let w be (-60)\/270 + h\/(-9). Solve -4 = -w*i + r*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15653 - -3918. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -3*n + 1247, -8 = 6*h - 4*h. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6790406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 14 (b) -2\/1255 (c) 0 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -2*b + 34, -527*b = -5*x - 531*b + 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z + 21. Let i be t(25). Let j(x) = x**3 + 4*x**2 - 3*x - 10. Let g be j(i). Solve 2*l + 0*l - f + 4 = 0, 0 = f - g for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y - 8. Let j be i(8). What is the tens digit of (-2 + -2)*92\/j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -33*z**2 - 2*z + 40. Let u(l) = 33*l**2 + 3*l - 40. Let m(b) = 3*p(b) + 2*u(b). What is the derivative of m(c) wrt c?\nAnswer: -66*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + s + 2075 = 0, -1468 - 192 = -4*o - 4*s. Let y = o - 289. What is the smallest common multiple of y and 28?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {v: 3, a: 1, h: 1, b: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 10*o + 11. Let n be g(9). Is n\/(-4)*(-24)\/10 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-1))\/8 - 1643976\/(-96). Find the first derivative of -31 - 17 + a*q**2 + 18*q**3 - 17125*q**2 wrt q.\nAnswer: 54*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 84\/16 - 1 - 4. Let r(w) = -w + 6. Let l be r(0). What is the third biggest value in -2, q, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 15*p + 242. Let a be c(17). Calculate the greatest common divisor of 40 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 286 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99 + 8*d**2 - 99.\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -10*b**2 + 1862*b - 372 = 0?\nAnswer: 1\/5, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.7, -1.5, 4\/5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 4:17 PM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g - 63 = -35. Suppose -2*s = 4*l - 12, 0 = -l - g*s + 11 - 8. Let o = -5 - -8. Solve 18 = -l*d - o*b, 4*d + 7 = -b - 8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -201 - 2\/5*y**5 + 0*y**3 - 47\/2*y**2 + 0*y**4 + 196*y. Differentiate g(j) with respect to j.\nAnswer: -8*j**3 - 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2. Let f(d) = -12*d + 123. Let n(k) = 26*k - 247. Let i(h) = -9*f(h) - 4*n(h). Give i(q(y)).\nAnswer: 4*y**2 - 119","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert b21 (base 15) to base 13.\nAnswer: 11aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 8:28 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.33 - 0.07. Let i = -0.2 + 0.6. Let j = i - 0.9. What is the nearest to 1 in -1\/5, j, g?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + 3*x - 48, -269*k - 23*x + 99*x = -269*k + 152 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 455502720 to the power of 1\/2, to the nearest integer?\nAnswer: 21343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001755264 to 4 dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 20521.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5 = 0, -2*p + 73 = p + 2*t. What is the greatest common factor of p and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 - -37?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n - 417 = -6093. Is n at most as big as 472?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 399 + -2. What are the prime factors of l?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 59ba9a60 - 2?\nAnswer: 59ba9a5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0048 + -0.02533. Let b = -0.0184 - j. Round b to four decimal places.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 3*w**5 - 102*w**4 + 258*w**3 + 732*w**2 - 2565*w + 1674 = 0.\nAnswer: -3, 1, 2, 3, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rwir when four letters picked without replacement from {w: 1, r: 2, i: 1, a: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2. Let i(n) = 2*n**2 + 2*n. Let k(f) = -4*f**2 - 3*f. Let w(r) = 5*i(r) + 3*k(r). What is -4*s(z) - w(z)?\nAnswer: -2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 40 - 46 - (-6)\/(-1)*-1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -141 + 172. Let p(u) = -4*u - 39. Let h be (-1 - 23)*-2*1\/(-4). What is the remainder when k is divided by p(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 56 + e2?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -3*i + 21. Solve i*t = 2*l, 2*l + 2*l + 5*t = 22 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (4 - (0 - (-1 + 1)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/7263 and -20\/9?\nAnswer: 7263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -47 + 39 - (0 + 9)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 11*u = -588. Suppose u = 51*i - 50*i. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 271 from 3949.8676754.\nAnswer: 3678.8676754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1621 - 575. Suppose 3*a - p = s, -a - p + 352 = -2*p. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + (sqrt(891)*1 + 3 + (sqrt(891)*-5*6 - sqrt(891)) + 2)**2.\nAnswer: -2700*sqrt(11) + 801927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 20*t - 160. Determine s(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3591915892 to the nearest integer?\nAnswer: 59933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3 + 2)*(-2997 + g**2 - 508*g + 2997).\nAnswer: -2*g**2 + 1016*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 49096759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = r + 1. Let u = 177 + -57. What is the highest common divisor of r and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4 - 1238*w**2 - 3.\nAnswer: -1238*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 154*z = -151*z + 16, 0 = -5*g - 5*z - 45 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -923, -973, -1109, -1373, -1807, -2453, -3353?\n\"Answer: -7*p**3 - p**2 + 2*p - 917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*y + 15 = 0. Suppose 0 = -4*s + y*s + 12. Calculate the highest common factor of s and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10296 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 2121.\nAnswer: -424.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c + c - c + 2*c. What is r(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6098 and 6.\nAnswer: 18294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1324 + -789. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*7\/(-21)*2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -110645 or -110657?\nAnswer: -110645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 33*h**3 + 15*h**2 + 15*h. Let v(a) = 2*a**3 + 9*a**2 - 5*a. Let q(i) = i**3 + 5*i**2 - 3*i. Let m(t) = 7*q(t) - 4*v(t). What is -f(u) - 15*m(u)?\nAnswer: -18*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 0*v**2 + 1\/70*v**5 + 2\/21*v**3 + 5*v - 10 + 1\/14*v**4. Let m(z) be the first derivative of g(z). Factor m(r).\nAnswer: 2*r*(r + 1)*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d - 1. Let q(o) = -o - 1. Let h(c) = -b(c) + 3*q(c). What is the units digit of h(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -1111101011110?\nAnswer: 1111101011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -157675482 and -157675482 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 821608168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2356866409 to the nearest integer?\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3242*v**2 + 102*v. Let q(l) = -2*l**2. What is d(q(c))?\nAnswer: -12968*c**4 - 204*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 30. Let z(a) = 4 - 7*a - o*a - 4. Let b(r) = r**2. Calculate b(z(t)).\nAnswer: 324*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*(w\/(w*w**8*w))\/w*w))**36\/(w**(-4\/15))**10)**(2\/59) assuming w is positive.\nAnswer: w**(1960\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1817 and 184.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 38*g**2 + 2*g - 48. List the prime factors of p(38).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-28) - (3 - (-3 - (-10 - -4))).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1946 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -18 and 5490066.\nAnswer: 5490048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -1699*i**2 - 55*i. Let b(l) = 4*l**2. Give n(b(w)).\nAnswer: -27184*w**4 - 220*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a**2*h*s + 7*a**2*h + a**2 + 3*a*h + 3*a*s**2 - 37*h*s**2 wrt s.\nAnswer: a**2*h + 6*a*s - 74*h*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cpcvpbkcvcavpcv. Give prob of picking 1 c and 1 p.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100006 and 124.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-37)\/(-3) - (10 - -2). What is the nearest to r in -0.02, -2\/5, 3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60844656 to the power of 1\/3, to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = 6*h + m + 1139, -2*h + 2*m + 762 = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 1\/2, 4 in descending order.\nAnswer: 4, 1\/2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4336596757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/54283 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**2 - a + 12. Calculate m(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -2100?\nAnswer: 2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -17, 70, -2 in increasing order.\nAnswer: -17, -2, 15, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 - 17*t**2 + 356*t**2 + 879*t**2 - 241 + 184.\nAnswer: 1218*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = u - 6. Let n be ((-6)\/(-9))\/(u\/(-15)). Solve 4*j + 16 + 0 = 3*o, n*o = 3*j + 23 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 a when two letters picked without replacement from {a: 3, o: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*o + 8*o = 22*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 92157 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1929 or 1930?\nAnswer: 1930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -0.12, -3\/2 in increasing order.\nAnswer: -3, -2, -3\/2, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - -0.1. Let k be 870\/203 - (-1 + 9\/7). Which is the smallest value? (a) k (b) s (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -2*h**5\/5 + 2*h**4\/3 + 2*h**3\/9 - 2*h**2\/3 - 5. Solve v(p) = 0 for p.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183603 to the power of 1\/2, to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2624682 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -112*(-31)\/4464*4\/(-14)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + 2*p + 15, -y - 39*p + 34*p = 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214125.\nAnswer: 3, 5, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77 - -62. What is the tens digit of 26\/(-195) + 58\/j + 266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0516? (a) -2\/3 (b) 1 (c) 0.2 (d) 69\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-2) + (-1626)\/(-12). Suppose -3*d = 5*p - 0*d + b, -5*p = d + 139. Let f = -18 - p. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 3027000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 391a (base 13) to base 12.\nAnswer: 485b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z + 46 - 23 - 23.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -206 by -1158.\nAnswer: 103\/579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19770470693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g\/(g*g**(-1))*g*g*g)\/(g\/(g*g**(-7\/5))))\/(g**0*g)**(-21))**(2\/17))**(-38) assuming g is positive.\nAnswer: g**(-9348\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ox when two letters picked without replacement from xxodd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -3235\nAnswer: 12940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 1cb63?\nAnswer: -1cb68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -18 from -5.57263.\nAnswer: 12.42737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -232*u - 265*u + 45*u to p*u + o and give p.\nAnswer: -452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - 23.5. Sort -3\/17, 1, t.\nAnswer: t, -3\/17, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 546093.\nAnswer: 3, 47, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 17*l + 70. Suppose 14*a + 101 = 255. Let z be q(a). Solve f + 13 = -5*u, 5*u = -4*f - z - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-4))\/((-11)\/(-44)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 41 = -16. Let j = q - -45. Suppose 0*i = 2*i - j. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) -0.86 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 695 + -442. What are the prime factors of y?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1)*(i**3*i)\/i)**(28\/9) assuming i is positive.\nAnswer: i**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -90*(25 - (-605)\/(-22))\/(15\/(-2))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9321 - -9333. What is the least common multiple of d and 848?\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 p when two letters picked without replacement from {j: 8, p: 1, h: 2, l: 7}?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-45)\/20)\/(-4 + 0 - 264705\/(-66180)) a multiple of 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*a**2 - 244*a - 3*a**2 + 226*a wrt a?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2 - -2)\/1)\/(17 - 15). Let z(h) be the second derivative of g - h**3 - 5\/2*h**2 + 6*h. What is the derivative of z(q) wrt q?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/7, -3\/4, -4, -3, -5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1675.767 - 1675.8. What is the closest to 1 in -1\/6, -6, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/13? (a) 5\/3 (b) 4 (c) -2 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1831\/14 + -1819\/14. Determine n, given that -a*n - 3\/7*n**2 - 3\/7 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13024 + 13027. Solve -k*j - 9 = -3*x, -5*j + 10*x = 8*x + 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 4, -1 in descending order.\nAnswer: 4, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11 or -1157\/12?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.44 and 1.4.\nAnswer: -7.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8814949 weeks in nanoseconds?\nAnswer: 533128115520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-60)*46)\/(5\/(-15)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and (-32)\/(-48) + (-10)\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) 16 (b) 0 (c) 0.04 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -889 = -5*l + 3*p, -108 = 5*l - 2*p - 999. List the prime factors of l.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 16 = 0, 0*v = -o - 2*v + 8. Suppose o*d = -4*d + 16. Suppose d*q - 5*n = 2 + 10, 0 = 4*q + 2*n + 16. Let f(b) = b**2 + 4*b - 1. Determine f(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3037302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 6. Let v(b) = b**2 - 5*b + 2. Let t be v(4). Let s be (-3)\/1 - (t + -144). Calculate the greatest common factor of h and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -379724 divided by 236?\nAnswer: -1609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - -6. Let j be 0 + 1 + (-2 - -3). Suppose -v - 5*m = x, -j*v - v - 2*m = 7. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/(-35))\/((-228)\/(-266))*12?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2 + 6 = 0. Let g = 177\/2 + -89. What is the closest to 4 in g, -5, a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5*u. Let c(h) = 3 - 3 + 18*h**2 + 34*h**2 + 14*h**2. Calculate c(d(f)).\nAnswer: 1650*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -8*n + 177. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/3*201\/469?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1740274 rounded to three decimal places?\nAnswer: 0.174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 7689426*d**2. Let p(w) = 4*w. Give p(o(b)).\nAnswer: 30757704*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*x + 64 = -15*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of v**6\/810 + v**5\/90 - 2*v**4\/27 - 9*v**3 + 33. Let f(m) be the third derivative of u(m). Let f(q) = 0. Calculate q.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/328 and 89\/82.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 964 = -39*w + 61*w + 172 for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -246, -545, -974, -1539, -2246, -3101, -4110?\nAnswer: -5279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.0876 to the nearest integer.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 m when three letters picked without replacement from {m: 4, d: 6}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3836021*s**6 - 10094070*s**2 wrt s?\nAnswer: 460322520*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 202 = -5*f + 2*f, 2*u - 98 = 3*f. Solve 21 = 45*l - u*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*m + 66*m + 26*m + 2.\nAnswer: 47*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p**2 - 3280*p - 16396. Give r(-5).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43616 - 479408\/11. Which is greater: i or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -0.01, -28 in decreasing order.\nAnswer: -0.01, -8, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4*h**2 - 45*h + 4943. Determine q(30).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.9, -4\/3, 9\/1802?\nAnswer: 9\/1802","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b437c (base 14) to base 15.\nAnswer: -14304e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 11:59 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 9*k**2 + 2*k - 4. Let s(d) = d**2. Let i be (-2)\/8*(-24)\/(-6). Let x(g) = i*l(g) + 6*s(g). Let q be x(-3). Solve -2*f + q = -7*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11382307, 11382321, 11382345, 11382379, 11382423?\nAnswer: 11382477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**3\/4 + 21669*x**2 - 9583395*x\/4 - 9756759\/2 = 0. What is x?\nAnswer: -2, 113, 28781","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 892527.3 litres to millilitres.\nAnswer: 892527300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/11 and (91\/(-14) + 5)\/(-2).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 3570*b + 280786. What is n(77)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.041, 9, 0.3, -2, 2, -0.07?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 50676 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9333 - 166. List the prime factors of f.\nAnswer: 89, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 2*p**2 + 4*p. Let n be q(-3). Let v(a) = a**2 + 3*a + 3. Calculate v(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4793193?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 51281, 52109, 52931, 53747, 54557?\n\"Answer: -3*k**2 + 837*k + 50447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + (1 - (-2 - -5)). Let g = t - -5. Are -2 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 + 23 + 5 - 42 - 243*v to the form g*v + w and give g.\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -34.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -113925 (base 13) to base 5\nAnswer: -101023442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -n**2*p**4 + 2*n**2*p**2 + 1182*n*p**4 + 356*p - 2 wrt p.\nAnswer: -24*n**2*p + 28368*n*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 1740 = 4*t, 3*t + 1290 = 5*x - 455. What is the highest common divisor of 33 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6882177 smaller than -6882174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30953123?\nAnswer: 1759, 17597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + h**2 - h + 2. Let g(a) = -599*a**3 - 6*a**2 + 5*a + 74. Let r(c) = g(c) + 6*n(c). What is the second derivative of r(b) wrt b?\nAnswer: -3630*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.2694208 micrometers?\nAnswer: 0.0000000002694208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -911, -931, -967, -1025, -1111, -1231?\nAnswer: -1391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (125\/10)\/((-30)\/(-12))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 72 = 2*f, 3*s - 38 = -f + 54. Suppose 4*b + q - s = 0, -4*b + b = 3*q - 33. What is the remainder when 17 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2900659487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/7 (b) -572\/9 (c) -2 (d) -9\/7 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.83, 15, -7\/37 in descending order.\nAnswer: 15, -7\/37, -0.83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-18))\/((-3)\/(-9)*-3). What is the second smallest value in -7, b, -11?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 12:46 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1715 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 6*g = -4*o - 26, 3*g - o - 29 = 0. Suppose 2 + 4 = 4*l + 2*r, -g = 3*r. What is the nearest to l in -2, -29, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*p**3 + 327*p + 49*p - 10708*p**4 + 72*p**2 + 128 + 10718*p**4 = 0.\nAnswer: -1, -2\/5, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 2:01 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/5))**(-9)\/(m*m**(-1))**(2\/47) assuming m is positive.\nAnswer: m**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -i**3\/3 + i**2 - 2*i - 4. Calculate x(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.239 - -0.061. Let t = -11 - -10.94. Sort 1\/5, t, -5, b.\nAnswer: -5, t, 1\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = -4*j + 4*p, j = -0*j + 2*p + 36. Let a = 44 - j. What is the tens digit of 22\/(-6)*(a - 19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of 47*b**4\/24 - 305*b**3\/6 + 2*b**2 - 38*b. What are the prime factors of w(27)?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30620 (base 7) to base 11\nAnswer: -5709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -7*b + 1. Let t = -5 + 6. Let x be n(t). Let g be -4 - (0 + 2)*x. What is the greatest common factor of 16 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 5*l + 11. Find the common denominator of ((-273)\/(-4))\/l - 2 and -83\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = 5*f - 4, -2*n + 7 = 5*f. Let z(p) = -3*p + 10. Determine z(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p + p - 2*p)*(29*p - 257*p - 20*p) as w + k*p**2 + m*p and give k.\nAnswer: 744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-one halves of a kilometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3198 = -8*m - 702. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 7 + 5*r + r**2 + r. Suppose 6*f + 33 = 3. Calculate the remainder when j(f) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (250\/(-750))\/((-2)\/66)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37643 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 502066975 to the power of 1\/2, to the nearest integer?\nAnswer: 22407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**2*x)**33\/(x\/((x*(x*x**(-5)\/x)\/x*x)\/x)*x*x**(-8)) assuming x is positive.\nAnswer: x**100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a - 3. Let f be x(-3). Suppose f = -4*p - 5*w + 37, -12 = 2*p - 5*w + 7. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 6*v**2 - 3*v + 3. Let l be 20 + -5 + -36 + 10. Let t(r) = 29*r**2 - 16*r + 16. Determine l*x(m) + 2*t(m).\nAnswer: -8*m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*k = 81*k + 20. Let c be (4 + (k - (-295)\/(-2)))*-2. Let z = -150 + c. What are the prime factors of z?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -44?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (84 - (-104 - -90)) + -185?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 101?\nAnswer: -8\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -69*v**2 - 9*v + 10. Let s be (25\/10)\/((-1)\/4). Let h be m(s). Round h to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1019 - 1015. Is 17\/6 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10680 and 0.2.\nAnswer: 2136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73232.\nAnswer: 2, 23, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**2 + 5*c + 13. Let b be d(-6). Let m = 194 - b. Suppose -2*u + 35 + m = 0. List the prime factors of u.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7 + 1 + 183 + -178. Let t = -7 - -16. Let y be (t\/(-18))\/(v\/10). Solve 6*c - c + y = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 8:23 AM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 217.06 nanograms to grams.\nAnswer: 0.00000021706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 2:34 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 4*i - 158, -3*i = -3*x - 6*i - 159. Let l = x + 51. Calculate the lowest common multiple of 7 + (-1)\/(l\/9) and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -41346*y - 1. Let h(j) = 4*j. Calculate k(h(f)).\nAnswer: -165384*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -36, -77, -146, -243, -368, -521, -702?\n\"Answer: -14*n**2 + n - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 1:01 AM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -44*z - 114. Calculate n(-11).\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -59*t**2 + 573*t - 11. Calculate h(10).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1221 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.018 + 3.192. Let m = b + -184.21. Let s = m - -180.999901. What is s rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**2 + q**2 + q**2 + (3*q - 5*q + 3*q)*(-3*q + 3*q + 5*q)*(-3 + 3 + 1) in the form v*q**2 + c*q + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 24aa3 + -8a5?\nAnswer: 241cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 7 = 1. Let s be m\/4 - (-31 + 2). Is (s + 2 - -2) + 3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16.2047 * 16\nAnswer: 259.2752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -19*n**3 + 6*n - 6. Let o = 11579 + -11573. Let p(u) = -20*u**3 + 7*u - 7. Calculate o*p(b) - 7*g(b).\nAnswer: 13*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 17*r - 52. Suppose 393*m + 65 = 388*m. Let f be q(m). Solve 2*j + 8 = 2*o + 2*o, f = 2*j - 5*o + 10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5774)\/(-10) - (-7)\/(350\/30).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -533*g + 26. Let v(y) = -89*y + 4. Calculate -2*t(p) + 13*v(p).\nAnswer: -91*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.106 (b) -335 (c) -275\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00328241008 rounded to 4 decimal places?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*c**3 - 182*c + 350*c - 2*c**2 + 2*c**4 + 1 - 168*c in the form q*c**3 + x*c**2 + y*c + g + i*c**4 and give q.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 53, 0.5, -4, 18\/41, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 31*a - 35*a. Suppose k = a*w + 64, -2*k - w = 2*k - 269. Does 23 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*r**3 + 325*r**2 - 152598*r + 152596*r + 2230*r**5 + 25*r**3 - 46*r**3 wrt r?\nAnswer: 133800*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/5 in -7, 328, 9\/16?\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2529 = -18*q - 315. Suppose 4*v - 487 + 1 = 2*j, j = v - q. Calculate the greatest common factor of v and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1323 + -1879. Let j = b - -721. What is j rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6048 - 1176 = 903*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -26, -47, -92, -167, -278, -431?\n\"Answer: -f**3 - 6*f**2 + 4*f - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/10 + 348\/(-20). Let a = p + 24. Suppose -d - 21 = 3*n, -3*n - 33 = -5*d - 12. Solve d = -2*c + a*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 724 and 5611?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26423?\nAnswer: 26423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of 3\/4*d**4 - 9\/20*d**5 - 5*d + 0*d**2 + 1\/10*d**6 + 0 - 1\/2*d**3. Factor z(q).\nAnswer: 3*q*(q - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 13 + 1)*36\/54. Suppose -f*v = -11*v + 2673. Suppose 6*o - v = -3*o. Does 33 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*f = 162*f - 656 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(2\/59)))\/(m*m*m\/(((m**12*m)\/m*m*m)\/m))*m**(-2\/7)*m**(-1\/27))**26 assuming m is positive.\nAnswer: m**(2795858\/11151)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 17*y**2 - 17*y + 13. Let t be i(16). Let h be 3 + 64 + t + -1. Calculate the highest common factor of 14 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5322*a**2 + 802*a**2 - 265*a**2. Let f(v) = -v**2. Determine t(f(c)).\nAnswer: 5859*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/17 - 24*x**2\/17 - 82*x\/17 - 60\/17.\nAnswer: -2*(x + 1)*(x + 5)*(x + 6)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, t: 5, e: 2, y: 1, f: 1}. What is prob of sequence ey?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 48 + 2\/(-2) + 1. Suppose 5*n + 15 + 213 = -y, 0 = 2*n - 2*y + 96. Find the common denominator of 67\/44 and (n\/10 - -5)\/(b\/(-1450)).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 25 = -21. Let u(b) = -7*b - 11. Let w(a) = 2*a + 4. Let x(c) = q*u(c) + 11*w(c). Let m(p) = p. Calculate x(m(d)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77202 + 77204 + 3100*x**2 - 1143*x**2.\nAnswer: 1957*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29303368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -94047499 equal to -94047498?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14550, 116189, 392008, 929097, 1814546, 3135445?\nAnswer: 4978884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4348285, -4348283, -4348279, -4348273, -4348265?\n\"Answer: r**2 - r - 4348285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1289\/(-4585) - 6\/(-21). Let p = d + 85697\/23580. Let s = 226 + -437\/2. Calculate the common denominator of p and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 11*a**2 - 2*a + 12. Give z(11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14685 and 4455?\nAnswer: 396495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-8\/5)*w)**5 assuming w is positive.\nAnswer: w**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1\/3, -0.07, -812, 0.3, -1, -2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x - 12. Let f be k(-8). Suppose 2*y - h - f*h + 6 = 0, 0 = h - 2. Suppose y*c = -0*c + 4, -g + 2*c = -23. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9140, -18371, -27608, -36851, -46100, -55355?\nAnswer: -64616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10711*33070.\nAnswer: 354212770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 5*r**3 - 320910*r**2 + 5028039180*r + 3909529157240 = 0.\nAnswer: -742, 32462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 910 smaller than -13905?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5512517.\nAnswer: 587, 9391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -613*f**2 + 9*f**4 - f**3 + 721*f**2 + 8*f**4 wrt f.\nAnswer: 408*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 1119*w + 284. Is z(17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 - -48. Suppose 0*t + t = p. What are the prime factors of t?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 75*r - 85*r. Put 3, r, -1, 5 in increasing order.\nAnswer: -1, r, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71828983 to the nearest integer?\nAnswer: 8475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - ((65 - 21) + -26)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2489*l = 2497*l + 88 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*h = d - 9, 0 = -2*h - 4*d + 26. Solve h = -5*f + 2*a, -5*f + 8*a = 7*a - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.256 - 6.65. Let h = -0.097 - i. Let n = h - 0.097. What is the nearest to n in 2, 1\/2, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 336750?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5 = 5*o - t, 5*o + t - 15 = 0. What are the prime factors of o*(3 - (-6)\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of v**5\/30 - v**4\/6 - 7*v**3\/6 - 2*v**2 - 11*v. What is the remainder when r(4) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**2 - 18*k - 5 + 39*k + 21 + k**3 - 21*k as u*k**2 + b*k + w + q*k**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) -5 (c) 0.177\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 + 13 + 30)*(-44*u**2 + 0*u**4 + 5*u**4 + 42*u**2 + 2*u**3) + (0*u + 4*u - 5*u)*(1 - 2*u**3 - 1).\nAnswer: 352*u**4 + 140*u**3 - 140*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(23 + -7)*-14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73 divided by 41463.\nAnswer: -73\/41463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*s - 3 = 0. Let j(t) = -t**2 + 2*t + 4. Let c be j(3). Let d = 1.2 - 0.7. What is the nearest to s in 4, c, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j**2*m**3 - 89*j**2*m**2 + 89959*j**2 - 7*m with respect to m.\nAnswer: -6*j**2*m**2 - 178*j**2*m - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 8, k: 3, z: 5}. What is prob of sequence zz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 455*y**3 - 546*y**2 - 546*y. Let t(d) = -d**3 + 2*d**2 + 2*d. Calculate -546*t(c) - 2*u(c).\nAnswer: -364*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 18*q + 55. Determine f(-16).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-250)\/(-15) - (6\/(-2) - 462\/(-126))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/2 of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68713 is divided by 218.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 123891490 to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 5*u - 17 - 8, -3*u + 5*l - 17 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -89065.\nAnswer: -89065.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 723 and 9704106?\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 2*x**2 - x - 1. Let m be u(1). Are 0 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33560 times 3\nAnswer: 100680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 175*u**2 - 35*u + 3. List the prime factors of v(-3).\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + -44.2. Let r = -51 - v. Which is the closest to 0? (a) r (b) 0.4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 151289.4mm?\nAnswer: 15128.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23122331 (base 4) to base 8.\nAnswer: 133275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 136 and 28152.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 2 = 9*r - 17, 0 = -r - 5*j - 17 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005202 to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 633512 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5593 and 1836903397?\nAnswer: 5593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -138665360 by -16.\nAnswer: 8666585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -4, -5 in descending order.\nAnswer: 2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40104 + -1034?\nAnswer: -41142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*f**2 - 31*f**2 + 2*f**2.\nAnswer: -13*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 divided by -334.\nAnswer: 28\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3462869, -6925720, -10388571, -13851422, -17314273, -20777124?\n\"Answer: -3462851*a - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wqsq when four letters picked without replacement from {w: 2, z: 1, f: 4, q: 2, r: 3, s: 2}.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + 2. Suppose 2*u - 2*n = -3*n - 11, -2*u = -3*n - 1. Let v(r) = 1. Calculate u*v(p) + h(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/4 and 7\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/80*20\/18.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -309 (b) -847 (c) -2\/13 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-1)\/(-8))\/(-1))\/(6\/4). What is the biggest value in o, 3, -1\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -14 (b) 0.1 (c) 599\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 887?\nAnswer: 443.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27\/116 + -57\/58. Which is the nearest to j? (a) 0 (b) 2\/13 (c) 2 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 345109?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5347 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 119550 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -10. Suppose 0*b - 6*b + 186 = d. Is b a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 3 + (4 - 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91045 and 3224434?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -101000010001010000 (base 2) in base 10?\nAnswer: -164944","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -a**5\/12 + a**4\/6 - 7*a**3\/6 + 4*a**2. Let b(p) be the first derivative of j(p). What is the units digit of b(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**2 + l**2 - 2*l**2 + 3 - 3 - 8*l**2 + (-2 - 2*l + 2)*(2 - 2*l - 2).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 6*n - 3. What is b(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4343401 (base 6) to base 2\nAnswer: -110100101101111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3003372599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/(-195))\/(1144\/(-220)).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g*l*w + 79*g*l + 30*l*w - 3*l + 3 with respect to w.\nAnswer: -2*g*l + 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**3 + 18*w**2 - 19*w + 1. Let q = 3363 - 3362. What is p(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15.7 - -15. Let j = -0.8 - q. Let i = 22 + -19. What is the third smallest value in 0.9, i, j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-8))\/(-5)*24\/(-108).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 0.3, -0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*x**3 + 105*x**3 - 32*x**3.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 22998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*h**3 - h**2 - 7*h - 4076 wrt h.\nAnswer: 9*h**2 - 2*h - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -1)\/(-1) - 2. What is the tens digit of o\/2 - 123\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 71047, 2\/33, 0.5?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*y - 2*l, -33 = -2*y + 2*l - 7*l. Let z(j) be the first derivative of 5*j**3\/3 + 3*j**2\/2 - j + 4. Let u be z(2). Solve y*p - u = -p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 208810.2491 to the nearest 10.\nAnswer: 208810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4*(1\/5 - 0))\/((-2)\/(-25)). Which is smaller: -107\/11 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257589*k + 85605*k + 85996*k + 85990*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 g, 1 z, and 1 e when four letters picked without replacement from {c: 4, j: 1, e: 2, z: 2, g: 7}.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) -5 (c) -4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from guididuhsiuhgiidhiig.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000496604992 to six dps.\nAnswer: -0.000497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**4 + 3*k**4 - k**4 + (-263*k**4 + 265*k**4 - 7*k**2 + 0*k**2)*(-8 + 3 - 1).\nAnswer: -8*k**4 + 42*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 28*v + 171. Let n(c) = c**3 + 10*c**2 + 17*c + 2. Let a be n(-8). Let g be t(a). Solve -p = -2*p + g for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 4890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 5, -d = w + 2*d - 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3057 + 4966. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4*t - 20, k - 3*t + 3 = -12. Suppose k*g = -3*g + 57. Suppose -4*o + 3*o + 37 = 0. What is the remainder when o is divided by g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1664 + 11.6?\nAnswer: 1675.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 2 - (-38 + 36).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17212440 by 4340.\nAnswer: 3966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2826355 and 2?\nAnswer: 5652710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1007.\nAnswer: 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 l, and 2 x when four letters picked without replacement from {x: 4, l: 1, g: 3, n: 2, z: 7}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -2)\/(2 + -5). Suppose -9*b = -7*b - 8. Suppose -4*x = -3*l - 0*l + 24, 0 = -l - 2*x - 2. Solve b*a = -d*a + l for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/(y**(-5)*y*y*y)*y*y**(-2\/7))**(8\/3))**9)**28 assuming y is positive.\nAnswer: y**3168","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 8, x: 7, a: 3}. What is prob of sequence axka?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 0.05 (c) 0 (d) -2\/93 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 9450 = 23*f - 24*f, 0 = -p - 4*f + 1909. Is p a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19824.999932564 + 19825. What is u rounded to 7 dps?\nAnswer: 0.0000674","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.8 and -3.3.\nAnswer: -4.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80609.75l to millilitres.\nAnswer: 80609750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 1:01 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -136 - -86. Let p be (1 - 0\/1) + 49 + d. Let p*k - 1\/2*k**2 + 1\/2 = 0. Calculate k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60671183 to the power of 1\/2, to the nearest integer?\nAnswer: 7789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*c + 4*c. Suppose -t + 2*x + 13 = c, t + 2*x - 11 = 3*x. Suppose -t*p + 4*p + 3935 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 415?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - o = 224, 0 = -0*s + 4*s + 3*o - 183. Calculate the lowest common multiple of s and 21.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2147795 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 45599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p + 7. Let t be y(-5). Determine r, given that 12*r**3 + 50*r**2 - 38*r**t + 6 - 2*r - 19*r = 0.\nAnswer: -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 13 + 20 - 55 + 4*s - s**3 + 8*s**2 + 17. Calculate the remainder when 155 is divided by w(3).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 322 + -311. Suppose 4*u = -i*u + 57675. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 340\/25 - ((-22)\/5 - -4). Suppose 0 = -17*d + f*d + 54. What is the lowest common multiple of 66 and d?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of i**5\/20 - i**4\/3 - i**3 + 7*i**2\/2 + 3*i. Let n be (-20)\/3*57\/(-76). Give j(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -570*q. Let h(v) = v**2. Calculate i(h(j)).\nAnswer: -570*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 5*l - 2, -23*x + 25*x + 4*l = 12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1144*b**3*s**3*y**2 + 7*b**3*s**3*y - 463*b**2*s*y**2 + b*s**3*y**2 + 4*s**3*y**2 wrt b.\nAnswer: -6864*s**3*y**2 + 42*s**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.04 and -27.85.\nAnswer: -27.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 + z - 4. Let c be r(-2). Put -2, -5, c in decreasing order.\nAnswer: c, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2564.48062 rounded to the nearest integer?\nAnswer: -2564","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + -3*(sqrt(99) + -1) + (sqrt(99) - sqrt(99)*-2) + sqrt(99) + 4 + sqrt(99) + sqrt(99))**2.\nAnswer: -4535 - 360*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -q**8\/4032 - q**7\/252 + q**4\/6 + 27*q**2\/2 + 5*q + 19. Let i(k) be the third derivative of n(k). What is j in i(j) = 0?\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*p**2 + 6181515*p - 30908400.\nAnswer: 3*(p - 5)*(11*p + 2060560)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3427, -3428, -3429, -3430, -3431?\n\"Answer: -q - 3426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, p: 1, l: 5, g: 2}. What is prob of sequence ple?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rebpzeebrr. Give prob of sequence ezeb.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -4\/21, -47\/3, -245?\nAnswer: -47\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -128 + 261. What are the prime factors of l?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 605024 and 666.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -z + 42. Let g = -24 + 24. Suppose g = -i + 3*i - z. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + sqrt(114)\/sqrt(6) + sqrt(38)\/sqrt(2)*4)**2.\nAnswer: -180*sqrt(19) + 2904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -9*t - 7. Let x be -1*(-2)\/6 - 44\/(-24). Let c(w) be the second derivative of -5*w**2 + 0 - x*w**3 - w. Give 5*c(m) - 7*y(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**5 - 2 + 2 + (700*a**5 - 49*a**5 + 22*a**5)*(2 + 7 - 1).\nAnswer: 5387*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*c + 4*c - 3*c)*(0 - 2 + 4) - 9*c + 0*c + 2*c)*(-c**2 - 2*c**2 + 2*c**2).\nAnswer: 11*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -1662*n**2. Let b(h) = 1381*h - 38. What is b(q(d))?\nAnswer: -2295222*d**2 - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a tonne in kilograms?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62 - 41. Let c be (6 - 0\/(-1))*1. What is the units digit of -2*(m\/c)\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-4) - (-135)\/108. Solve 4*p + 6 = -j for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1688.840900639 take away -0.4?\nAnswer: 1689.240900639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46879?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3 = 8. Is x bigger than -0.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/38220 and 127\/540.\nAnswer: 343980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zssmmsm. What is prob of sequence zmsm?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45680 + 71643. What is the hundreds digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 6 + 2 + -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5*10\/75)\/((-2)\/21). Let v be -1*(-2)\/3*6. Suppose 3*o + v = 7*o. Put m, -3, o in decreasing order.\nAnswer: o, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 + -151\/3. Sort 11, 4\/7, j.\nAnswer: 4\/7, j, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6173 to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 581907, 1164042, 1746177, 2328312?\nAnswer: 2910447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**3\/3 + x**2\/2 - 23*x - 211. What is u(0)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -107 + 623. Let b = 675 + x. List the prime factors of b.\nAnswer: 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92538*o - 46241*o - 46277*o.\nAnswer: 20*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 + -31342?\nAnswer: -31411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331240.\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 889567 or 889575?\nAnswer: 889567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 10:32 AM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -29 - (2 + 24).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -7*r**4\/6 + r. Let h(f) = 9*f**2 + 187854683*f - 187854683*f. What is w(h(m))?\nAnswer: -1134*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 3607?\nAnswer: 3611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 6*k - 27. Let g(x) = -7*x + 30. Let n(v) = 5*g(v) + 4*z(v). Suppose -43 = 2*b + c + 4*c, -b - 4*c - 26 = 0. Is 28 a factor of n(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 82 + (76 - (65 - (74 - 84))).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20071 is divided by 386?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 352376 (base 9) to base 14\nAnswer: 57230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*d - 39, 2*j - d - 41 = 4*d. Let p = -12 + j. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2762015.\nAnswer: 5, 552403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -896, -1 in decreasing order.\nAnswer: 5, -1, -896","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 12 = -2*v. Let p be (-62)\/((-3)\/(v\/6)). List the prime factors of p + 1\/(-2)*-2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -102.13 + 2.13. Let v = 52.06 + 7.74. Let m = t + v. Round m to the nearest integer.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8450 = -680*k + 30*k for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260 is divided by 69?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 + -51. Suppose 11*t + q = 35. Solve -2 = h - x, t*x - 1 - 1 = 2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 8 + 5 + 20 - -7?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4*(-20)\/(-10)*-1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 - (5 + -43) - 1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2107 is divided by 2093?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1177.717 years?\nAnswer: 11.77717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5878, 5862, 5834, 5794, 5742, 5678, 5602?\nAnswer: 5514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1523047.156 to the nearest 1000.\nAnswer: -1523000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -83.17 less than -6485102?\nAnswer: -6485018.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*m - 239*m = -55 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -100*j**5 - 304*j**4 + 908*j**3 - 504*j**2 = 0.\nAnswer: -126\/25, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2 + 7*m + 2. Suppose 2*s + 3*o - 11 = s, -o = -2*s + 22. What is the remainder when y(-7) is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zf when two letters picked without replacement from {f: 1, u: 7, z: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0.12, -1\/5, 2\/21 in descending order.\nAnswer: 6, 0.12, 2\/21, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3156 = 9*k - 9876. List the prime factors of k.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 12:52 PM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 351138*i - 34 = 351142*i, -3*c + i + 13 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.1 - 10.285. Let r = 0.89 - q. Let t = r - 8. What is t rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from fffffffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 12 = -w. Let a(s) = s**3 + 6*s**2 - 3*s - 1. Does 4 divide a(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3488 minus 37915?\nAnswer: -34427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 27 = -19*c, -3*r + 9*c - 34 = -5*r - 2*r - 21 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 8, 2, -22, -3, -7 in descending order.\nAnswer: 8, 5, 2, -3, -7, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 76\/15 greater than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*g = 11*g + 56 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**4\/4 + 17*j**3 - 333*j**2\/2 - 2*j + 1. Factor m(a).\nAnswer: 3*(a - 3)*(a + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 9\/(-6))*-2. Let j = z - 3. Let m(y) = -3 + 1 - 5*y - j + 3. What is m(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 14) in base 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1874, -1927, -1968, -1991, -1990, -1959?\n\"Answer: z**3 - 60*z - 1815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 1:26 AM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 79*t**8\/1680 + 31*t**4\/12 + 27*t**3 - 49. Let q(g) be the third derivative of r(g). What is the derivative of q(i) wrt i?\nAnswer: 316*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0524 + -0.17628.\nAnswer: -0.22868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j**2 + j**3 - 2*j**2 + 15*j**2 - 4*j**2.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.03 + -4.63. Let u = f - -5. Let h = u + -1.4. Which is greater: -1\/2 or h?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 8:11 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -195*o - 350 - 1\/7*o**3 - 72\/7*o**2.\nAnswer: -(o + 2)*(o + 35)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 5*p = -45, 21*r - 25*r - p + 4 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3\/5, 0.057119, -0.2 in descending order.\nAnswer: 3\/5, 0.057119, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - -4*4\/8. Suppose 0 = -5*u - r*q + 276, -4*q - 3 - 5 = 0. Let g be u\/(-66) + (-4)\/(-22). Put g, 5, 0.2 in ascending order.\nAnswer: g, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3380554.8s in hours?\nAnswer: 939.043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6300 minus 0.4?\nAnswer: 6299.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 29219*c**3 - 9*c**2 + 9*c - 3. Let v be p(9). What is v rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 167 (b) 53 (c) 12 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -12. Let x = f - 3. Does -5\/4 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/36331125 and 29\/230010.\nAnswer: 799284750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6287944 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*t - 0*t. Suppose 0 = 5*c - l + 36255, 7*l + t = 4*l. Let p = c - -43609\/6. Calculate the common denominator of -23\/8 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**2 - 2 + 4 - 2. Let w(l) be the third derivative of 0*l**3 + 0*l + 0 + 3\/20*l**5 - 8*l**2 + 0*l**4. Determine w(p(i)).\nAnswer: 36*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000495135 to 6 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 32840625343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 605 by -605.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*d**3*v**3*w + d**3*v**2*w**2 - 11*d**2*v*w - d*v**3*w + 4*d*v**2*w - 12*d*w**2 wrt d?\nAnswer: 108*v**3*w + 6*v**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 4:34 AM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4*l - 334 = -1502, 2860 = 5*w - 5*l. Is 18 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-15)\/(-120))\/(4\/(-8)). What is the third smallest value in 0.4, -8\/11, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -13. Suppose l + l + d = 0. Let m(b) = 2*b**2 + 2*b + 3. What is m(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/1 + 7\/56*-4. Which is the third biggest value? (a) 1\/4 (b) 0.3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34305238 + 34305235.13999484. Let t = -2.86 - v. Round t to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -40. Solve -3*f + w = 3 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 is divided by -2*3\/9*12\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-20104)\/(-8) - (4 + -13)?\nAnswer: 2, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.690724 - 24.308966. Let k = -0.25 - 31.75. Let l = h - k. Round l to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 552 a factor of 8118807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 5:38 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 1 (c) -5 (d) -135\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + 9cd?\nAnswer: 9c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 l when two letters picked without replacement from {l: 1, m: 1, n: 2, v: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 4*b - 46, p - b + 17 = -2. What is the smallest value in 4, p, 1, -2\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2*k + 70, -134 = -4*p + 3*k - k. Let n be (-6)\/27 + ((-1576)\/(-45) - 4). Is p >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78954, -78942, -78932, -78924, -78918, -78914, -78912?\nAnswer: -78912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z**(-3\/7))\/(z\/(z\/(z*z**(-1)\/z))))\/(z**(-1\/2))**7)**(-37\/5) assuming z is positive.\nAnswer: z**(-629\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 + 224848*r**2 - 449724*r - 674568.\nAnswer: 4*(r - 3)*(r + 1)*(r + 56214)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p**3 - 3 - 3*p**3 + 0*p - 2*p + 3*p**2. Give f(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13920 and 25056?\nAnswer: 125280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -49, -161, -349, -613?\n\"Answer: -38*t**2 + 2*t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -15990 greater than -15992?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -157*l**5 + 1256*l wrt l?\nAnswer: -3140*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/1328 and -131\/12.\nAnswer: 3984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 176\/3 + 28\/(-42). Find the second derivative of -10*u**2 - 2*u - 28*u + z*u wrt u.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -6*z**2 + 7*z + 2. Let j(y) = -11*y**2 + 13*y + 3. What is -4*j(h) + 7*n(h)?\nAnswer: 2*h**2 - 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 o, and 1 b when four letters picked without replacement from {v: 3, b: 1, o: 5, m: 1, p: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, i: 2, e: 1}. Give prob of sequence iy.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1741572834 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 9*z**2 - 353*z - 2799. Determine j(46).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 887*f**3 + 1959*f**2 + 30*f - 15. Let p(j) = j**3 - 2*j + 1. Let n(q) = 30*p(q) + 2*r(q). Find the third derivative of n(g) wrt g.\nAnswer: 10824","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(2\/11)\/f)\/(f**(-3\/2)*f))\/(f**3*f)**(-36\/5))**4)**15 assuming f is positive.\nAnswer: f**(18798\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3011602 (base 7) in base 6?\nAnswer: -11344031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-23)\/(874\/(-285)) - 0)*(-164)\/(-30)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*r - l + 628, 4*l = 4*r - 2552. Suppose 4*v + 426 = 2*n - 0*n, 3*v + r = 3*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - -42?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 185 = s, -s = 3*s + 20. Suppose 2*w = 17 - 71. Let p = o + w. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 199\/10500 and -103\/1008?\nAnswer: 126000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 0*f**3 + 0*f**3 + 8*f + 4 - 7*f**2. What are the prime factors of b(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 1247.\nAnswer: -4, 5, 1247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -28\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 11:17 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -17*l - 9. Determine y(5).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 5 - 2)*(3*b + 0*b - b) + (4 - 6 + 0)*(0*b - 3*b + b))*(2*b**4 + 2*b**4 - 6*b**4).\nAnswer: -4*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16425152*x + 1092276 wrt x.\nAnswer: -16425152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/5 - 4549*m**2\/5 + 1821*m + 13653\/5.\nAnswer: -(m - 3)*(m + 1)*(m + 4551)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 - 74892720*x.\nAnswer: -4*x*(x + 18723180)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 141099714739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 226 + 1721 = -177*d - 2*x, 0 = 3*d + 3*x + 28 + 5 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.6 (b) -1\/4 (c) 1 (d) 5 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3257 divided by 150\nAnswer: -3257\/150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = c - 1180000. Round c to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13126082.\nAnswer: 2, 31, 211711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 - o + o)*(0 + 0 - 2*o**3) - o**5 + 8*o**5 - o**5 - o**3.\nAnswer: 8*o**5 - o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-28)*(-2)\/8*(-200)\/550?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -1, 1.15 in decreasing order.\nAnswer: 1.15, 0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 56*w**2\/11 - 54*w\/11 - 20\/11.\nAnswer: 2*(4*w - 5)*(7*w + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/((-50)\/8))\/(6\/(-15)). Let c be (-6 - j - -2) + 10. Solve 10 = 3*y - c*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72\/5 - 74\/5. Let c = -20 + 14. Let i = -5.5 - c. What is the nearest to q in -1, 0.4, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xyxk. What is prob of sequence xkx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 132, 939, 3124, 7377, 14388, 24847, 39444?\n\"Answer: 115*r**3 - r**2 + 5*r + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8619, 17261, 25903, 34545, 43187, 51829?\n\"Answer: 8642*x - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19441 and 0.1.\nAnswer: -1944.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 0 - 3 + 9*g + 3. Let a(u) be the third derivative of -u**4\/3 - 656*u**2. Give a(l(y)).\nAnswer: -72*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 29056 divided by -14528?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 53781358 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 389029306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 20*i**2 - 16. Let x(a) = 9*a**2. Determine c(x(u)).\nAnswer: 1620*u**4 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 172, 758, 1118, 1252, 1160, 842?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(-51)*(60\/9)\/(-10). Which is the second biggest value? (a) 45 (b) 1\/2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1100 + 1122 = 2*k. Suppose 2*i - k = 23. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 384508, 384454, 384400, 384346?\n\"Answer: -54*h + 384562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 793 and 122.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22)\/968 - 0\/2. Which is the smallest value? (a) -0.07 (b) -0.4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1209 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.501719 times 0.135?\nAnswer: 0.067732065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/18*117\/26*(-39)\/(-12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 1\/7 (b) 0.02 (c) 19 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j. Let v(o) be the third derivative of -o**7\/180 - o**4\/4 + 14*o**2. Let f(n) be the second derivative of v(n). Give f(x(w)).\nAnswer: -126*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 7:19 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.039131 rounded to one decimal place?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iggimggmgkkgiigmgg. Give prob of sequence iimk.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9927*f**2 - 9932*f**2 + 51*f + 19859*f**2 - 95*f**3 - 11*f - 5199 with respect to f.\nAnswer: -285*f**2 + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.1*12.\nAnswer: 181.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2. Let r(l) = -286 - 5*l**2 + 94715*l - 94715*l. What is r(h(w))?\nAnswer: -5*w**4 - 286","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/22*((-1829982)\/612)\/233.\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 78.862 - 122.9. Let r = 0.038 + q. Let n = 44.19 + r. What is n rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t = 2*t - 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7644.75 kilometers in micrometers?\nAnswer: 7644750000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 46. Suppose 7*o - g + r = 2*o, 20 = -4*g. Which is greater: o or -10?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304 is divided by 79.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/10 and -10\/111?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/(x\/(x**0\/x*x))))\/(x*x*(x\/(x**0\/x*x))\/x)*x*x\/(x\/((x*x\/(x**(-2)\/x))\/x))*x*x**(-4)\/x)**18)**14 assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*s**3 + 5*s**3 - 7*s**3 - 2*s - s**3 to b*s**3 + l + u*s + v*s**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*y**2 + 16*y**2 - 37*y**2 + 2 - 5 + 2 to the form n*y**2 + r*y + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1111100110000 (base 2) to base 8\nAnswer: -17460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2491960 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 + 6*l + 4. Let k = 70 + -68. Let x be ((-2)\/(-8))\/(k\/(-40)). Determine f(x).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 292032 and 984.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((2*sqrt(450) - (sqrt(2592) - sqrt(2592)*1 - sqrt(2592)))\/((sqrt(36)\/sqrt(3))\/sqrt(2) - sqrt(150)*2))**2.\nAnswer: 1936\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 2*o + 1. Let j(l) = 3*l**2 - 1. Let u be j(-1). Let w be d(u). Solve -3*c = t - 14, -c = 3*t - w - 1 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 15 = -2*g, 2*a - 2*g = -10. Suppose -3*p + 2*p + 4 = a. Suppose 0 = 3*b - p*w + 1 - 5, -3*b + 10 = -w. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33398 is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + r - 24. What is o(0)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 706282 times 0.42?\nAnswer: 296638.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -0.4 (c) -0.065 (d) -1306\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -18101522719575 and 1.\nAnswer: -18101522719574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.02 (b) 19\/3 (c) 1\/13430 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a - 3. Let z(c) = -1. Let o(v) = -x(v) + 3*z(v). Suppose i + 2 = 0, -4*g + 40 + 16 = 4*i. Let r(u) = 3*u**2 - 16 + g + 13*u**2. What is o(r(s))?\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2771654 and -0.4?\nAnswer: -1108661.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53\/(-4134)*845*(-6)\/2.\nAnswer: 65\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 289*r - 245 = 338*r. Which is the biggest value? (a) 0.2 (b) r (c) -0.5 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.24624 millilitres in litres?\nAnswer: 0.07624624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*-1*((-1224)\/60)\/(-17)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5868921.\nAnswer: 3, 593, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 361506606 to the power of 1\/2, to the nearest integer?\nAnswer: 19013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/150*(-2160)\/4536?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03834635703 to three decimal places.\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*x**2 - 6*x**2 - 1 + 28*x**2.\nAnswer: 38*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20402 or -20407?\nAnswer: -20402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n - 5*n - 7*n + 19*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - 2*b - 10, -5*r - 101*b = -98*b - 23 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/3513 and -20\/297031?\nAnswer: 1043469903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 - 6. Let a be 858\/3 - (1 + -3 + 0). Let t = a - d. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - -1) + (9 - 9 - -8) + -4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2889477 + 52.\nAnswer: 2889529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 30723106394 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -8 + 17 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6)*t*t\/(t\/t**(-1\/4)*t))\/(t\/t**(-1\/2)*t\/t**8) assuming t is positive.\nAnswer: t**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -18. Let d(y) = y**3 - 8*y**2 - 7*y - 9. Let k be d(v). Suppose k*t - 364 = 2*t. List the prime factors of t.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 66213 + 3?\nAnswer: 66216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3 = 3*f - 0*f, -h = 5*f - 17. Let m(b) = -4*b + 25. Calculate the remainder when 240 is divided by m(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.36247 to three decimal places.\nAnswer: 0.362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2\/7 + 4656*s\/7 - 1354896\/7.\nAnswer: -4*(s - 582)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 8)*((-589)\/(-38) + -15). Let u(m) = m**3 + 5*m**2 + 12*m. Give u(x).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -278\/355 - -13\/71. What is the second smallest value in m, 0.15, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r - 5*n, 5*n = -2*r - r - 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/21? (a) 0 (b) -21 (c) -5 (d) -360\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/7 + 500*p**2\/7 - 1042*p + 3696.\nAnswer: 2*(p - 7)**2*(p + 264)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4*c**3. Let l be g(1). What is the second biggest value in -0.4, -0.05, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + m + 184 = 0. Let n be -3 - (-1 + -2) - (-4 - 1). Suppose -m + 1 = -n*h - b, 0 = 3*b - 3. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91360 is divided by 716.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c**3 + c**2 + c + 1. Let g be r(-1). Suppose -4*m - 12 = -g*t, 7*m = 3*m - 8. What is the remainder when 43 is divided by t\/((4\/2)\/30)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(135\/(-10)*7\/(-21)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of u**3\/2 + 6*u**2 + 3*u + 55. Determine p(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 513422 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b + b + 2*b + (1 - 4 + 5)*(-2*b + 4*b - 4*b) - b + 0*b + 3*b - 16*b + 5*b - 12*b + 3 - 3 - b as x*b + o and give x.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308934?\nAnswer: 2, 3, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 45239 (c) 15 (d) 13 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m. Let q(s) = 318*s**2. Determine q(r(h)).\nAnswer: 318*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 202221002 (base 3) to base 7\nAnswer: 62324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -5 - (251 + -243))\/(1\/(-2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -38. Let t(g) = g**3 + 5*g**2 + g - 3. What is the remainder when j is divided by t(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1696972911.\nAnswer: 3, 565657637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = 53*o - 394. Solve 7*u + 2*r + 10 = 8*u, -4*u + o*r = -31 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 3) to base 5\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 - 129*u + 16. Let a(x) = 4. What is -4*a(q) + v(q)?\nAnswer: 2*q**2 - 129*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/15 + 532*b**2\/5 - 83712*b\/5 - 28134208\/15.\nAnswer: -2*(b - 436)**2*(b + 74)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 2:39 PM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -40*k**2 + 1. Let y(u) = -39*u**2 + 1. Calculate 4*v(p) - 3*y(p).\nAnswer: -43*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (10 - 31) + 11 + (-1 - -29).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/5 + 0)*0. Let b(r) be the second derivative of 0*r**3 + 0 + k*r**4 + 2\/5*r**6 + 2\/5*r**5 + 0*r**2 - 11*r + 2\/21*r**7. Factor b(z).\nAnswer: 4*z**3*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246473339?\nAnswer: 7, 19, 1853183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-10 - -5)) + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of p**4 + 78 + 9*p**4 + 3*p**4 + 4*p**4 wrt p.\nAnswer: 68*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 968542?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n**2 - n + 3*n**2 - 4*n**2)*(-12*n**2 - 30*n**2 + 20*n**2) to the form i*n**2 + a + b*n**4 + h*n**3 + r*n and give b.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 583790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 83 - 29. Suppose 53*k + 282906 = 222*k. What is the highest common divisor of l and k?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 19\/(-2)*7\/((-77)\/(-6820000)). What is r rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i - 25. Let p(t) = 3*t - 61. Let u be p(16). What is b(u)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p**2 + 180*p - 2277. Determine z(42).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-120 + 57 + 40)*(3*s**2 - 5*s + 5*s).\nAnswer: -69*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -5*s**2 + 1\/12*s**4 + 0*s**3 + 0 + 0*s. Let o(p) = -8*p**2 + 7*p**2 - 13*p**2 - 7*p**2. What is o(d(n))?\nAnswer: -84*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -3*b + 117, -42*s + 44*s = 0. Solve 3*p + 27 = b for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 114 (base 8) to base 14\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of f**5\/110 - f**4\/11 + 3*f**3\/11 + 7*f. Factor c(r).\nAnswer: 2*r*(r - 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 9*m**2 - m - 6. Let t be l(-9). Suppose t*r - 507 + 87 = 0. Suppose 0 = h + h - r. What is the greatest common factor of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1*sqrt(153) + 1)**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 648 and 360?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 622 is divided by 158?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 263718519*v**3 - 53377752*v**2 - 4*v.\nAnswer: 1582311114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -131, -504, -1125, -1994?\n\"Answer: -124*j**2 - j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 354 + 2*z**2 - 2*z - 356 + 15*z**4 + 0*z**4 as k*z**2 + m*z**3 + u*z**4 + o + r*z and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e + -19?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*u - 160 - 624. Suppose -3*k + 440 = k. Let z be (-2)\/(-8) + k\/8. Calculate the greatest common factor of u and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 3\/5 (b) -4 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9153779 rounded to the nearest 100000?\nAnswer: 9200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, w: 1, v: 3, t: 7}. What is prob of picking 1 w and 1 v?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -1, 0, 4 in descending order.\nAnswer: 4, 3, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29476 - 18107. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + 19008\/1359 + ((-55)\/(-40))\/((-5)\/(-40)).\nAnswer: -2\/151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11956482 a multiple of 498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r**2 - 27044 + 27024 - r**2 - 4*r**2.\nAnswer: 4*r**2 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(539)*2*3 - (((sqrt(88) - 2*sqrt(88)) + sqrt(88))*5)\/(sqrt(96)\/sqrt(3)).\nAnswer: 210*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 61861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350253959.\nAnswer: 11, 23, 1384403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.8 - -13.68. Let v = u + 1.12. What is the second smallest value in 3, v, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1190233*y**2 + 589771*y wrt y.\nAnswer: 2380466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120762 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z - 18. Let s(w) = -2*w - 13. Let f(p) = 5*n(p) - 7*s(p). Let i(r) = -1. Determine f(h) + 2*i(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 + -20. Let s = b - 8. What is the closest to 1\/3 in -0.1, -4, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5978 - 24654 - 31188 + 1585 - 6709 + 7647)*(-2*q**4 - q**4 + 5*q**4).\nAnswer: -118594*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100101010010 + 1100001011?\nAnswer: -11011001000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 3. Let q be (7 + v)*(-4)\/10. Let b be ((-1)\/q)\/(3\/(-2)). Which is smaller: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 6*k = -15. Solve 0 = -w - 4*l - 12, l = k*w + 8 + 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, x: 3, w: 7, i: 4, b: 2}. Give prob of picking 1 w, 1 x, and 2 a.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-38)*l*l\/(l\/l**(-1\/6)*l) assuming l is positive.\nAnswer: l**(-229\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - -7479?\nAnswer: 7478.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25540 - 13906. Suppose 4*n = -o - 11566. Round n to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12611, -11219, -9839, -8477, -7139?\n\"Answer: -c**3 + 1399*c - 14009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-237)\/474 - (-2)\/12.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -673.5 + 674. Let o = -4\/25 - 38\/75. Put o, -2, n in ascending order.\nAnswer: -2, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 116*g**2 - 598*g - 299. Give s(121).\nAnswer: 548","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 13 - (-1 - 10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 - 0.2. Let k = -44 - -42. Put k, y, -1\/6 in increasing order.\nAnswer: k, -1\/6, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 12. Let j(v) = 4*v + 6. Calculate j(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -h**8\/112 + h**4\/12 + 4*h**2 - 1. Let r(z) be the second derivative of b(z). What is the second derivative of r(x) wrt x?\nAnswer: -60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -3. Let n(t) = 4*t**2 + 9*t - 4. Let y(k) = -2*k**2 - 4*k + 2. Let o(c) = -4*n(c) - 9*y(c). Calculate the smallest common multiple of 4 and o(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7176721 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1500 and 26455.\nAnswer: 7936500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*s - 7*s**4 + 14*s + 9*s + 13*s + s**2 to the form l + b*s**3 + i*s**2 + u*s + k*s**4 and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 6*u - 380 + 777 - 397. Let s(d) be the third derivative of d**4\/4 + d**2. Determine s(r(z)).\nAnswer: 36*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -5, 184, -33 in ascending order.\nAnswer: -33, -5, -2, 3, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*n**6 + 44*n**4 - 112*n**3 + 12*n**2 + 943*n + 5 wrt n?\nAnswer: -480*n**3 + 1056*n - 672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 7992*k + 356*k + 1494*k + 4766*k - 2371*k in the form r + y*k and give y.\nAnswer: 12237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 34) + 59 + 12 + -12.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1950 + 1988. Suppose -170*w = -151*w - x. Let s(i) = 3*i + i**3 + 1 - 2 + 0*i - 6*i**2. What is s(w)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/sqrt(4) + 1*sqrt(320) + (sqrt(10)\/sqrt(2) + 5 - sqrt(35)\/((sqrt(112) - sqrt(7)) + sqrt(7))))**2.\nAnswer: 215*sqrt(5)\/2 + 9645\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17613*q - 396 = 17604*q for q.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 80 + -68. Let r be 72\/30*80\/z. Suppose 28 + r = c. Is c bigger than 44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 0 = -16. Suppose 4*q + 282 = 4*l - 2*l, -2*q = c*l + 136. Let y be 1 + 0 - q - -1. What is the highest common divisor of y and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 5:41 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 1 = 3*f - 8, 2*f - 16 = -5*j. Let r be -1 - -3 - 33\/15. Put r, f, 0.4 in decreasing order.\nAnswer: f, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5214, -4633, -4058, -3489, -2926, -2369?\nAnswer: -1818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -3 - (-7 - -5) - 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -166 divided by 2.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, -5, 3, 1 in decreasing order.\nAnswer: 42, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-3) - 16\/(-3). Let z be 1 + 0 + (o - 5). Let x = -1 + z. Solve x = -0*u - u + 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -126 + 121 + (25 + -1 - 1). Calculate the highest common factor of z and 192.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y + 4 = 11*y + 5*c, 1554*y + c = 1548*y - 86 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(3\/5)\/g*g*g\/((g\/(g\/(g**(4\/7)*g*g*g*g)))\/g))\/(g\/((g\/(g**(-3)*g))\/g*g*g)*g**6))\/((g**2\/g)**(1\/7))**(-14\/9) assuming g is positive.\nAnswer: g**(-1496\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 g when two letters picked without replacement from nccncgncjttjjpc?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 4*p - 3. Let o be l(4). Let h(f) = -f**2 - 9*f + 2. Let j be h(-9). Suppose 4 = -3*q - j. Sort -4, o, q.\nAnswer: -4, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 104 - 48*d - 104. Let w(g) = -2*g**2. What is w(o(j))?\nAnswer: -4608*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - -3 - (2 - 1). Suppose -f*n + 0*b - 23 = 3*b, 0 = -3*n - 4*b - 26. Is (-505)\/(3 + -2 + n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 0.09, 0.1 in descending order.\nAnswer: 0.1, 0.09, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 4 + 3. Let j be (6\/(-119))\/(9\/14). Let a = 38\/51 + j. Which is smaller: a or v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 24 = 5*a. Suppose a*n + 0*n = 20500000. What is n rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1210)\/154*42\/(-45).\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-9))\/(-3)*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -145*q + 9 - 16*q**4 - 9 - 2*q**3 + 18*q**4 as w*q + u + r*q**2 + d*q**4 + i*q**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 3, 0 = -n - 0*n + 5*t. Let z = -758\/1155 - 4\/385. Which is the closest to 1\/3? (a) -5 (b) n (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -224966 + 319479. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -9*a - 11. Let g(f) = -5*f - 6. Let d(n) = 11*g(n) - 6*m(n). Let u(r) = 2*r**2 + 11*r. Determine d(u(l)).\nAnswer: -2*l**2 - 11*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/3957179 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 18. Suppose -5*m + 29 = 3*h, -2*h + 5*m = h + 11. Suppose -3*a - 3*t = a - 76, 12 = h*t. Calculate the least common multiple of i and a.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + -32 - -28) + 64.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -49229 or -49208?\nAnswer: -49208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -101022001?\nAnswer: 101022012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -0.019, -5\/4, 0.053?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3*t + 27 = 0, 0*m + 19 = 3*m - 5*t. Solve 0 = -3*v + y - 5 + 16, -v - m = 2*y for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 34\/6 + 2\/6. Suppose -l = -0*l - m. Which is greater: 7 or l?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/(sqrt(10) - sqrt(490)*1) + 0 + sqrt(208)*6)*5.\nAnswer: 715*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {j: 1, e: 11}?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -15. What is the lowest common multiple of 20 and 2 - (-8)\/(n + 2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -13 - (7 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 72656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1859 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1341, -2671, -4015, -5379, -6769, -8191, -9651?\nAnswer: -11155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 51154 (base 8) to base 16\nAnswer: 526c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (0 + sqrt(931))**2*-3*-2*2.\nAnswer: 11174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l - 3 + 15*l - 40*l.\nAnswer: -18*l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + 35 - 31) + 0 + -14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -133845, -124839, -115831, -106821, -97809, -88795, -79779?\n\"Answer: a**2 + 9003*a - 142849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 156 - -7. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43215*u - 1790 = -43573*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (12 - (14 + -11)) + -7 + 4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -43359*a**2 + 19*a - 11. Let b be j(9). Let m = b + 1301919. Round m to the nearest one hundred thousand.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 2415\/(-207) + 12\/(-9).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(sqrt(18)\/sqrt(27)) + -1)**2.\nAnswer: -6*sqrt(7) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -6*v**2 - 5*v + 2. Calculate f(-5).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38602193 to the nearest integer?\nAnswer: 6213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 525 and 204015?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54 + -56. What is the nearest to 0 in 1, -0.2, p, -60?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1092 divided by -6?\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-48)\/36)\/(2\/(-3)). Solve -4*l + a - 18 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from exexjxxjjoxjjjxzzx. What is prob of picking 1 x, 1 z, and 1 j?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 + 17*y + 4. Let q(u) = u**2 + 9*u + 2. Let d = -906 - -900. What is d*h(g) + 11*q(g)?\nAnswer: -g**2 - 3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/102 - (-19061)\/4165. Factor 0 + 12\/5*i + u*i**2 + 6\/5*i**3.\nAnswer: 2*i*(i + 3)*(3*i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -4*d**2 + 3*d + 5. Let u(g) = -5*g**2 + 4*g + 6. What is 3*u(v) - 4*z(v)?\nAnswer: v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -5. Let t be ((-44)\/(-132))\/((-129)\/54). Which is smaller: t or k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/17, -15\/11, -3, -2\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(108) - (sqrt(108) - (-5 + -1*sqrt(108)))) + (sqrt(108) - (0 + sqrt(108)))*-5 - (-4*(sqrt(108) - (2 + sqrt(108))) + -1 + -1 + sqrt(108)))**2.\nAnswer: 792*sqrt(3) + 1659","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -1. Suppose -r + 13 = -5*j. Let m be (3 - (-14)\/(-4))*0. Sort j, m, -3 in descending order.\nAnswer: m, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/14 and ((-761)\/252 + 3)*-68.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1752337243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -17*x**2 + 2*x + 1. What is n(1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(128) - sqrt(8)) + 3 - (-2 + -4*(sqrt(18) + sqrt(2)))) + 3)**2.\nAnswer: 352*sqrt(2) + 1032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -5\/24*d**4 + 0*d + 1\/6*d**3 + 0 + 11*d**2. Calculate r(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of k**6\/33 + 58*k**5\/55 + 193*k**4\/22 - 190*k**3\/11 - 450*k**2\/11 + 20. Solve o(w) = 0 for w.\nAnswer: -15, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20744 - -36367. Is c a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 148946 and 266.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 86123.75 centuries?\nAnswer: 861237.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/1987168 and -49\/32.\nAnswer: 1987168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**8\/20160 - a**7\/840 + a**6\/360 + a**5\/4 + 32*a**2. Let x(k) be the third derivative of h(k). What is x(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 8*m**2 + 3*m - 10. Let o be w(-7). Let j = o + 3. Calculate the greatest common factor of j and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 9:14 PM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -139 + 38?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.021921002 plus -0.4?\nAnswer: -0.421921002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 245 and 6.2?\nAnswer: 1519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1359*v - 203232 = -1846*v - 299*v for v.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 110429*i - 14245356. Give x(129).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p + 6*p - 3*p. Let t(c) = c. Let n(x) = g(x) - 5*t(x). Let v(k) = -3*k + 1. Let y(z) = z**2 - 2*z - 2. Let r be y(3). Calculate r*v(w) + n(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 3 = j, -2*x = 3*j - 6 - 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + b**2 + 2 + (-2*b + 0 + 0)*(12 - 13 - 7)*(6*b - 5*b + 0*b)*(6 - 2 + 3) - 37*b + 9*b**2 + 37*b to the form a + x*b + m*b**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52459883, 104919766, 157379649, 209839532, 262299415?\nAnswer: 314759298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 17855*o - 6*o**2 - 5*o**2 + 2*o**4 - 17843*o + 7*o**2 - o**3 - 5*o**4 as z*o**2 + t*o**3 + f*o**4 + w + d*o and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2 (b) 1\/8 (c) -5 (d) 1\/9108 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of 3*p - 4 + 0*p**2 - 1\/50*p**5 + 0*p**4 + 1\/15*p**3. Let w(q) be the first derivative of n(q). Factor w(m).\nAnswer: -2*m*(m - 1)*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48623431 divided by 2879.\nAnswer: 16889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of 117*b**6\/5 + b**4\/6 - 241*b**3\/3 + 16*b + 20. Find the second derivative of l(u) wrt u.\nAnswer: 8424*u**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/96)\/1*2\/1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + -0.2. Let g = 0 - o. Let r = 3\/8 + -31\/40. Which is the smallest value? (a) r (b) g (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 13*v**2. Let n(r) = -133*r. Calculate j(n(i)).\nAnswer: 229957*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -30*i**3 - 3*i**2 + 9*i + 5. Let k(v) = 121*v**3 + 11*v**2 - 33*v - 20. Give -11*d(f) - 3*k(f).\nAnswer: -33*f**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1140 or 1295?\nAnswer: 1295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 14, d: 4}. What is prob of picking 1 d and 2 q?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - sqrt(57)\/sqrt(27))*-2.\nAnswer: -4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 67346881 to the power of 1\/3, to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*k**2 - 3796*k + 11136.\nAnswer: 4*(k - 3)*(7*k - 928)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, x: 1, v: 2}. What is prob of picking 1 v and 2 g?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 11*i + 58. Determine r(3).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3415 - 3415. Which is the third smallest value? (a) j (b) 0.2 (c) 0.092 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1010888153 or -1010888154?\nAnswer: -1010888154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 30663362969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 593207 to the nearest integer?\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*v - 5969, -3*v + 7580 - 3133 = 5*q. What is the greatest common divisor of v and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, 0, 0.1, -0.0831, 1\/3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*o - 6 - 42 = -16 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12090 is divided by 3973.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**3 + 6*b**2 - 5*b + 2. Let p(g) = -g**2 - g. Determine d(l) - 3*p(l).\nAnswer: -2*l**3 + 9*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24231 (base 5) to base 13.\nAnswer: -a99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 + -61\/2. Let i be 3\/5*20\/(-30). Let y = 3.7 - -0.3. Which is the closest to i? (a) y (b) j (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(46 - (10\/20 + (-18)\/(-4)))?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**5 + j**4 + j**3 + 1. Let k(g) = -82*g**5 + 2*g**4 + 2*g**3 - 14*g + 3. Let z(b) = -k(b) + 2*n(b). What is the second derivative of z(h) wrt h?\nAnswer: 1680*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2921188 (b) -7 (c) -4 (d) -2\/5 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - -5 - (2 + -5 + 15).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4067828 a multiple of 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 1064*d - 6375. Determine t(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (36*r**2 - 52*r**2 - 41*r**2)*((3 + 0 - 2)*(2 - 2 - 2*r) + r - 3 + 3 + 1 - 1 - r - 2*r - 3*r + 4*r) to w*r**2 + q*r**3 + i + o*r and give q.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/2 and -53\/142970.\nAnswer: 142970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 + 9*q + 16. Let j be i(-13). Suppose 3*h + u - j = -67, -5*h + 310 = -5*u. Let z = h - 35. List the prime factors of z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 17*y**2 + 19*y**2 + 11*y**2 - 45*y**2. Suppose 0 = t + g - 2*g - 45, -5*t + 3*g + 215 = 0. Let q(h) = -t*h + 5 - 5. What is q(l(o))?\nAnswer: -80*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.5 - 2.5. Let w = 1 - c. Let n = w - 3.8. Put 0, -0.1, n in ascending order.\nAnswer: -0.1, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - v + 20. Let j be x(-5). Suppose w + 3*h = -j*w - 11, -3*w - 13 = -h. Let k = 0.1 + -0.2. Which is the closest to k? (a) w (b) 10 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*w = 2970, -2*w + w = 0. Suppose -2*o + 7*o - k = 0. Calculate the greatest common factor of o and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -3*v + 6*v + 3*d, v - d - 16 = 0. Suppose v*b = b - 39. Is b + 4 - ((-20 - -1) + -3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4414*k + k**3 + 215*k + 322*k**5 - 654*k wrt k?\nAnswer: 6440*k**3 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*x**3 + 99*x - 319*x - 590 + 584.\nAnswer: -11*x**3 - 220*x - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 672 and -456 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -54*x + 51*x - 6, 5*x = 4*a + 8. Solve -22*p = -r - 18*p - 13, x = 4*r - p + 22 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 228963.8409 and -296.78.\nAnswer: 228667.0609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 38, 2144.\nAnswer: 3, 38, 2144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -84 or -86?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105707 + 211417 - 105710 - 14*w.\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/9, 61, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.25, 0, -4 in decreasing order.\nAnswer: 1.25, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 83288\/4872 - (3 + -6 + 20).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) -36.78 (c) -0.64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 69*p. Let x(k) = -11*k + 11822. Calculate x(f(a)).\nAnswer: -759*a + 11822","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3\/7 + 3740*g**2\/7 - 47414376*g\/7.\nAnswer: 4*g*(g - 3007)*(g + 3942)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.647 to 0 decimal places.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103301300323 (base 4) to base 11.\nAnswer: -2a21277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b + 5055 + 4156 + 25393 + 0*b.\nAnswer: b + 34604","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*q - 240*q + 29 = c, 3*q = 5*c - 13 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 - (7 + -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*n + 78*n = -4*a + 266, 2*n = 18. Calculate the remainder when 1156 is divided by a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 4\/5, 6, -1, -0.06, -1278, 2?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 537 is divided by 108?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 95102*l**2 - l - 5. Let n be h(-7). What is n rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20593 = 1262*n + 958*n + 1039*n - 271536 for n.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j**2 - 11*j + 37. Let r be n(3). Is 22 a factor of 132\/(6\/10 + 16\/r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -434127, -434133, -434139?\nAnswer: -434145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1928736 to the nearest integer?\nAnswer: 1389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**3 + 9*y**2 + 364*y + 1841. Determine a(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 3972.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32243041 and 331?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -8 - 6*x + 4 - 3 + 5*x. Let b = 2 - -1. Suppose -29 = 4*q + s - b, 2*q = -3*s - 8. What is y(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + p**3 + 3 + (0*p**2 - 4*p**2 + 3*p**2)*(7*p - 2*p - 2*p))*(p + 0*p + 0*p).\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 10*z**2 + 12*z - 13. Let v = 11 + 0. Let o be b(v). Let r = 9 + o. What is the lowest common multiple of 3 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 14. Let x be c(6). Suppose -x*g + 3*g + 955 = 0. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-10))\/(22\/55). Solve -22 + o = -4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/(-9 - (-348)\/24))\/(-1*8\/88).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2659 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10145, 81125, 273785, 648965, 1267505, 2190245?\n\"Answer: 10140*n**3 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1094 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 8\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6249241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130112000 (base 5) to base 6.\nAnswer: 21252012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and 4877666080.19?\nAnswer: 4877666079.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/2)\/(132\/(-440)). Sort h, -45, 0 in descending order.\nAnswer: 0, h, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1800 and 200.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.24, 0, -5\/2, 0.048, 267 in descending order.\nAnswer: 267, 0.4, 0.24, 0.048, 0, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 2c235b?\nAnswer: -2c235c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**3 + 31*r**2 - 76*r + 6. Calculate the lowest common multiple of 26 and z(12).\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -9*v**3 + 13*v**2 + v - 4. Let s(b) = 16*b**3 - 27*b**2 - b + 7. Calculate -7*o(u) - 4*s(u).\nAnswer: -u**3 + 17*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -204.\nAnswer: -1\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -199, -430, -753, -1168?\nAnswer: -1675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17\/42 - 1\/14. Let f = 14547 + -43639\/3. Let y = -9 - -9.4. Sort 2\/7, y, f, z.\nAnswer: 2\/7, z, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -t**4\/4 - t**2\/2 - 9. Let p(q) = 2*q. Determine 2*p(r) + 3*z(r).\nAnswer: -3*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (60 - 21) + -18.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ibhiihhiiihihbii. Give prob of sequence ihbi.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 445*-51.\nAnswer: -22695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.6 - -2. Let v = -5 - -1. Let n = -369.73 - -374.73. Put 4, n, v, w in descending order.\nAnswer: n, 4, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41766017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000965 to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 517994 is divided by 64747?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 34 = y, 53 + 31 = -4*y - 5*z. Let k = y + 26. Let c = 0 - -0.4. What is the third smallest value in c, -0.4, k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a + 107*a**2 + 4766723 - 4766723.\nAnswer: 107*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 0*z**3 - 10*z**2 + 0 + 0*z - 1\/20*z**5 + 1\/4*z**4 - 1\/40*z**6. Factor o(k).\nAnswer: -3*k*(k - 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122840594?\nAnswer: 2, 43, 1021, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 9*i**2 - 2564*i - 5. Let t(k) = -5*k**2 + 1442*k + 3. Let v(x) = -16*t(x) - 9*y(x). Let a be -2*(-2)\/((-8)\/(-6)). Calculate v(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -906*d**2*f**3 - 93*d**2*f**2 + 42*d**2*f - 5*d*f**3 + 5*d*f**2 + 12*d*f - 12*f**2 - 495*f wrt d?\nAnswer: -1812*f**3 - 186*f**2 + 84*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**2 + 19*d**2 + 10721*d**3 - 31*d**2 + 7*d**2 - 10730*d**3.\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -118.081 - -118. Let g = 7.6463 + 1.1347. Let o = f + g. What is o rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 7*f**2 - 11*f**2 + 10*f**2 - 3 + 7*f - 4*f**3. Let n be k(-6). Suppose -8*s + n = -3*s. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -6*a + 20. Suppose 3*r + 12 = 3*n, n + 2*r + 10 = 5*n. Let v = 3995 + -3990. Solve 8*j - v*j = -h + n, -5*j + a*h = 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-616)*(-3108)\/888)\/(10\/4)\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/4 of a second?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50833791 + 5569791 = 69*m. What is m rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -559*x - 51 = -556*x for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nzni when four letters picked without replacement from {s: 5, i: 2, z: 9, n: 3}?\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6731 a multiple of 252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2120540 greater than 2120539?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*y - 5*i, -3*i = -5*y + 4*y + 16. Let q be 1\/(((-5)\/15)\/(y + -2)). Solve q*n - 5 = j - 0*j, 4*j - 25 = -3*n for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 + c**3 + 0*c**3)*(-4*c - c**2 + 4*c) + (-c**4 + 3*c**4 - 3*c**4)*(-1 + 3*c + 1) + (41 - 41 + 130*c)*(2*c**4 + 0*c**3 + 0*c**3).\nAnswer: 255*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**2 + 0*s**2 - s**2 + 4*s**2 + 2*s**2 - 4*s**2 + (3*s - s - s)*(3 - s - 3) + 2*s**2 - 2 + 2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.97286 years in millennia?\nAnswer: 0.00197286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*i - 26*i - 161. Suppose 2*a - 4*j = i*a - 772, j = 2*a - 314. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -424250.3 to the nearest one thousand.\nAnswer: -424000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.929365583 - -5?\nAnswer: -41.929365583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-22) + 7363\/(-814).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(12\/9) - 38. Let m be (6\/h)\/((-12)\/40). Let j(x) = -8*x**2 - 12*x + 4. Let r be j(-2). Which is the biggest value? (a) 0.1 (b) r (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54586 is divided by 344.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -15833267, 28 in decreasing order.\nAnswer: 28, 1\/4, -15833267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 8*n**2 - 8*n + 4. Let q(m) = -5*m**2 + 2*m**2 - 4 + 5*m**2 + 0*m**2 + 7*m. Let s be q(-5). Let k = 18 - s. Determine x(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 0*l + 2*l**3)*(0 + 0 + 3)*(-3 + 22 + 0).\nAnswer: 114*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2575130 is divided by 22?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1, 17, 57, 133, 257, 441, 697?\n\"Answer: 2*l**3 + 2*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 0.3, 0.932, 4, 2\/47 in decreasing order.\nAnswer: 4, 0.932, 2\/5, 0.3, 2\/47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 11*v**2 - 443*v + 167. What is the remainder when o(65) is divided by 102?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1857985 to the nearest integer?\nAnswer: 1363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4344 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90534 by -6.\nAnswer: -15089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 701263372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1024115 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22327 + -13127. Round u to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36262.\nAnswer: 2, 18131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5061359.\nAnswer: 17, 297727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -g**4\/4 + 2*g**3 - 3*g**2\/2 + 11*g + 1864. What is m(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 0*b + 5*b + 20, 2*n = -5*b + 5. Let f(d) = -n + 2*d**2 - 3*d**2 + 0 - 1. Give f(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 - (7 - (15 + -7 + -9))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(140\/238) + -11. Suppose 3*u + 4*d + 13 - 98 = 0, -5*d - 41 = -u. Let j = u + h. Solve -5*n = -j*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/4)\/((-37)\/2590*-35).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 5 - 5)*(144 - 144 + 351*w + (4 - 2 + 0)*(0 + 0 + 2*w)).\nAnswer: 1065*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) -0.14 (c) 0 (d) 12 (e) -11 (f) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 10:56 AM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 127*k**2 + 17*k + 2153. Determine j(-127).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1891233 is divided by 2076?\nAnswer: 2073","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*n + 133*n = 6402. Is n a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -2\/27*z**3 + 2 + 1\/3*z**2 - 4\/9*z. Factor d(g).\nAnswer: -2*(g - 2)*(g - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 2:39 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (46\/15)\/((-22)\/(-297))*(451 - 6)?\nAnswer: 3, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76475 divided by 115\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4 + 1 - h + 2. Let v be g(-7). Does 13 divide 3\/(9\/v)*13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*l**3 + 198*l**3 + 36*l**3.\nAnswer: 194*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110011100100000111011 (base 2) to base 14.\nAnswer: 31da9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 200*t + 2184. What is the hundreds digit of d(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-771)\/1285*(-55)\/(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -4. Let v(b) = 3*b**2 + 6*b + 2. Let n(l) = -6*l**2 - 12*l - 5. Let y(x) = j*n(x) + 5*v(x). Factor y(f).\nAnswer: 3*f*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 3794968\nAnswer: -3794965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -28, -50, -86, -136, -200, -278?\n\"Answer: -7*w**2 - w - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 7674. Let c(k) = 10982*k. Determine l(c(j)).\nAnswer: -120604324*j**2 + 7674","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62 - -34. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -33*h**3 + 2*h**2 + 2*h + 1. Let u = -1227 + 1226. Calculate v(u).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 27*t**2 + 25*t + 37. Let f be c(26). Suppose f = -l - 3*o + 8, l - 17 = o. Solve l = 4*q - q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/40 + (-5 - -2)*1 + 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 232 - 363. Let j = -405 + 591. Let k = j + q. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 26 = -5*p, -3*p = -r + 2*r - 14. Suppose r - 11 = -z. Calculate the greatest common divisor of 99 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rddddddndrdddnrdrnn. What is prob of picking 2 n and 1 d?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -46 (base 8) to base 10\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32830 rounded to the nearest one thousand?\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 1. Let z = -44 + 45. Let l(r) = 8*r**2 + 2*r - 3. Determine z*l(a) - 6*n(a).\nAnswer: 2*a**2 + 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 118\/(-2)*7\/(-7). Suppose 0 = 3*r, -3*r + 46 = 5*g - 14. Let h = x + g. What are the prime factors of h?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8*4.7223\nAnswer: -37.7784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 3*n. Let m be i(6). Solve -21*x + m*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 9*a - 3 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -33736266 divided by 28326\nAnswer: -1191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17621952 and 8810976?\nAnswer: 17621952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -121566, -123704, -125838, -127968, -130094?\n\"Answer: 2*g**2 - 2144*g - 119424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((-308)\/8)*-11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 247921 + -63920. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-87 + 87 + 14*p)*(2*p**3 - 2*p**4 - 2*p**3) - 3*p**5 + 4*p**5 + p**5 - p - p**5 + p + (-2*p**2 + 0*p**2 + p**2)*(2*p**3 + p - p).\nAnswer: -29*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**2 - 8*k - 6. Let g(u) = u**2 - u - 1. Let q(x) = -d(x) + 3*g(x). Determine q(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -142084 and -302 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y**2 - 8*y - 6. Let r(a) = -779*a**2 + 3 + 2*a - 1 + 387*a**2 - a + 393*a**2. Let c(l) = -3*r(l) + z(l). Determine m, given that c(m) = 0.\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 5, -2.\nAnswer: -3, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 83.015 or -9\/5?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -14. Suppose b*p - 20 = 4. Let h(k) = -p*k + 17*k - 6*k. Determine h(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1841 = 18*z + 354*z + 3739 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - a + 6*a)*(-1 - 4 + 6)*(0*a**3 - 4*a**3 + 5*a**3).\nAnswer: 5*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000211740803 to 7 dps.\nAnswer: 0.0000212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8.263242 nanometers?\nAnswer: 0.0000008263242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 673524?\nAnswer: 2, 3, 53, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*h*v**2 - 2*h*v - 179985*h - 1212452*v - 16 with respect to v.\nAnswer: 6*h*v - 2*h - 1212452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 493 + -493.426. Let y = k - -0.426001005. What is y rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*t**3 - 2*t**2 + 13*t**3 + 2 - 21*t**3 to r + g*t**3 + p*t + k*t**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9492 and 49854.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 5*x - 20, 3*y + 12 = 5*x - 8. Let g(t) = t - 2. Let s be g(0). Let j be s + 1284\/(-3) - y. Round j to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21766 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40352816, 40352830, 40352844, 40352858, 40352872, 40352886?\nAnswer: 40352900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5030676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/15*35\/140\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 divided by 588?\nAnswer: 47\/588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11799 + 20296. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 h when two letters picked without replacement from {h: 1, u: 2, n: 1, t: 1}?\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 -192, -913, -2120, -3813, -5992, -8657, -11808?\n\"Answer: -243*q**2 + 8*q + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 + -27. Let b(n) = n**2 - 106*n + 1515. Let o be b(17). Solve -3*y + m*u - 5 = -13, -o*y = -2*u - 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 148\/7*d**2 + 2\/7*d**3 + 2050\/7*d + 272.\nAnswer: 2*(d + 1)*(d + 17)*(d + 56)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 2*x + 50195 - 50209, 3*k - 18 = -2*x for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 + 19*g + 33. Determine k(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -158 + 241. Suppose 535 = -78*z + p*z. What are the prime factors of z?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1512 to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 37, 0 in descending order.\nAnswer: 37, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - 5.2. Let x = 2\/125 - 133\/500. Let p = -0.7 - -0.3. What is the biggest value in x, j, p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/5, -5, 90064\/23, 43?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, e: 1, b: 1, o: 1, j: 1, k: 2}. What is prob of sequence jo?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 2*m - 4. Let p(b) = -b**2 - 3*b - 4. Let a(f) = -2*p(f) + 3*y(f). Suppose -47*x - 51 + 51 = -30*x. Calculate a(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o = -408376 - 506690. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3360225 to the power of 1\/2, to the nearest integer?\nAnswer: 1833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/8)\/(-1))\/((-2)\/(-24))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230 = -387*m + 410*m for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 234\/5*(-40)\/(-16) and 65.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 47046894?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10\/743 + -703\/2972. Which is the closest to k? (a) -51 (b) 1\/2 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11657429 to the nearest integer?\nAnswer: 3414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.056461197 to four dps.\nAnswer: 0.0565","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**2)**(-2\/113))**(-3\/2)*(q**(-3\/8)*(q**(2\/5)*q*q)\/q)\/(q*q*q**(2\/7)*(q\/(q\/q**(-3\/5)*q))\/q*q) assuming q is positive.\nAnswer: q**(1979\/6328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**4\/d*d*d**(-7))**(-13\/3)\/((d*d**(-2))\/(d*d**(-6)))**37 assuming d is positive.\nAnswer: d**(-135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/230338 and 10\/53?\nAnswer: 230338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (0 - 5 - (53 - (55 + -25)))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1656 divided by -5602?\nAnswer: 828\/2801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 9 + 20*s + 25*s)*(0 - 3 + 1) as b + a*s and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/780? (a) -51666 (b) 0.4 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -9 (c) 0.4 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*x - 104*x + n = -4, -4*x = -n - 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 3*l + l)*(l - 2*l + 3*l) + (l - l + 2*l)*(-22*l - 3 + 76*l - 29*l).\nAnswer: 48*l**2 - 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/3 + 8*z**2 - 40*z - 1600\/3.\nAnswer: 2*(z - 8)*(z + 10)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2103808 divided by 37568?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/14 + 3574\/14. Suppose o - 4*s + h = 6*o, -51 = -o + s. Is 21 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*b + p + 33, 4*b = -320*p + 322*p + 16 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/(-24))\/(2\/42). Let i be 4 + -5 - (o - -3). What is the derivative of -2*y + 2*y + 12 - 3*y**i - 2*y**3 wrt y?\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n\/n**(1\/5))\/n)\/(n*(n*n**(-7\/4)\/n)\/n*n))\/(n\/(n**0*n)*n\/(n*n\/(n\/n**9)*n)))**21 assuming n is positive.\nAnswer: n**(4851\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qruquqqrquqqqqqqqrqr. Give prob of sequence uu.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.26 - -0.26. Are -6 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(0\/1 + -2). Suppose 109 = 5*u + 4*k, z*u + 4*k + 101 = 5*u. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*j + 18*j - 69*j + 41*j**2 - 39*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 15663594 = -2*j, -5*k = -2*j + 2776349 - 18439919. What is j rounded to the nearest 100000?\nAnswer: -7800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 0 - 2) + 11 - 8 - (25 - 0)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*w**5 - 39*w**3 - w**2 + 6080*w.\nAnswer: 60*w**3 - 234*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 786, 805, 824, 843, 862, 881?\nAnswer: 900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = 3*j + 35. Let a(n) = -n**3 + 7*n**2 - 2*n + 7. Let t be a(j). Let l = -5 - t. Solve -4*z = l + 10 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 5*u = -6 - 95, -227 = 5*r + 4*u for r.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from olrlorrrlto. What is prob of sequence tl?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 251*w**2 + 10*w - 577. Let y(j) = -253*j**2 - 12*j + 580. Let o(q) = 6*d(q) + 5*y(q). What is the first derivative of o(m) wrt m?\nAnswer: 482*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 176629201 divided by 1.\nAnswer: 176629201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8\/5 - 9\/5. Which is the nearest to -3? (a) -3 (b) z (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*g + 2*s = 486, -4*g = s - 981. Calculate the highest common divisor of 2583 and g.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 139247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 32417 to the power of 1\/2, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 826, 867, 932, 1033, 1182, 1391, 1672?\n\"Answer: 2*s**3 + 27*s + 797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 97682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3161 (base 10) to base 15\nAnswer: e0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3998917591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*f - l, 3*f + 5*l = 12 + 5. Suppose f*h - 8 = 5*h. Suppose -3*v + 6 = 0, h*g + v = -4*v + 28. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(5\/3)\/k)\/k**(2\/11))\/(k**(2\/7)\/k**(-11)) assuming k is positive.\nAnswer: k**(-2495\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -5670.\nAnswer: 17010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 17*f + 92 + 1\/2*f**2. Calculate q(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 99\/(-273) + 125\/(-35) + 4. Let k = f - -71\/91. Which is greater: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*v**2 - 2*v - 10*v - 326 - 1671 + 12*v.\nAnswer: 10*v**2 - 1997","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-6\/7))**(3\/4))**(-6\/29) assuming a is positive.\nAnswer: a**(27\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -28*w + 1925. Is 73 <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-31))**(-4\/27))**34)**(12\/7) assuming q is positive.\nAnswer: q**(16864\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 517367.7us to minutes.\nAnswer: 0.008622795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 233, 924, 2073, 3686, 5769?\n\"Answer: d**3 + 223*d**2 + 15*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2 = -2*l, 4*y + 31 = 5*l - 1. Put 3, l, -3 in ascending order.\nAnswer: -3, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5520 + 8694. Is y a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.9, -9, -0.1, 0.34, 2 in descending order.\nAnswer: 2, 0.9, 0.34, -0.1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.068 - 0.368. Let j = 2493\/5 + -531019\/1065. Let h = 197\/1704 - j. Sort h, z, -5 in decreasing order.\nAnswer: h, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(190)*2*-4*2)\/(5*((sqrt(640) - ((sqrt(640) + sqrt(640)*-1 + sqrt(640) - sqrt(640)) + sqrt(640))*3) + sqrt(640))).\nAnswer: 8*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41014586?\nAnswer: 2, 67, 307, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -6 + 0 + (36 - 30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -115*j**3*z**3 - j**3*z - 57*j**2*z**3 + 8978*j**2*z**2 wrt z.\nAnswer: -690*j**3 - 342*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/65 in 2, 0.2, 18541, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11, 4\/18129, -21.\nAnswer: -21, 4\/18129, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.74 - -1.54. Let i = 0.9 - 5.9. Suppose -5*t - 21 = -0*z - 4*z, 13 = 3*t + 4*z. What is the nearest to t in -0.1, j, i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24560 less than -0.5?\nAnswer: 24559.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19170 + -19176. What is the second biggest value in -0.4, -0.2, -5, 14, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 264836685?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -38, -7, -18, 0 in descending order.\nAnswer: 5, 0, -3, -7, -18, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 5 (b) -3724 (c) 3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p - 1. Let w be z(5). Calculate the greatest common divisor of 36 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 17*o + 8*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -3.6, 36, 2.5857 in ascending order.\nAnswer: -3.6, 0.2, 2.5857, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -1.92. Let z be (-96)\/(-224) + 92\/(-84). What is the closest to 1 in y, 1\/3, z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266*j - 275*j - 1146 = 32*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r - 3 - 3 - 3. Let u be k(-6). Let b = 156 - 151. Put u, b, -2 in ascending order.\nAnswer: -2, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/2, 0, -3, -2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*b - 2*n, 3*b = -b - n + 5. Let m(r) = 2*r. Let p be m(b). What is the units digit of (-2)\/p - (-45)\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9 - (7510 - (-5 - 3)*1). Round u to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 1.35. Let d = j - -0.05. Let k = -1862.09 - -1862. What is the third biggest value in d, -5, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53646 is divided by 61.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -3*y - 16, 406*y + 8 = 405*y + f for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3b0c0 + 8?\nAnswer: -3b0b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2244 by -51361.\nAnswer: -2244\/51361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -355, 0, 15 in descending order.\nAnswer: 15, 0, -355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 29274\/(-161007)*1155\/6\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69 + 71. What is the nearest to 1 in z, 1, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11955744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggmegemhgeeshmge. What is prob of sequence gh?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1499932065 take away 0.9?\nAnswer: -1499932065.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-6)*(-8 - 1050\/(-130)). Let l = 53 - 54. What is the third smallest value in l, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 217 - 219. Put 42, a, 1, 4 in decreasing order.\nAnswer: 42, 4, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 79*q**3 + 26*q**3 - 34*q**3 + (3*q + q**2 - 3*q)*(q - q - q) + 2*q**3 - 3 + 3.\nAnswer: 72*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 3 - -8) + (4 - (-3 + 4))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3514 is divided by 1018?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 2*l + 18 = 0, 0*m - 14*l + 7*l + 79 = -2*m + 4*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 0 + (sqrt(704) - (sqrt(704) - 4*(sqrt(704) - (0 + sqrt(704) - sqrt(704)))) - sqrt(704)) + 2*sqrt(704) + 5 + -2)**2 + -5.\nAnswer: 480*sqrt(11) + 17631","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7155 (base 8) to base 13.\nAnswer: -18b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from osyysycoysosyooosss. What is prob of sequence yss?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -15*f**2 - 696*f + 7. Let x(s) = 2*s**2 - 5*s - 1. Determine 2*q(l) + 14*x(l).\nAnswer: -2*l**2 - 1462*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8672?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60 - (-3 + 9) - 5) + 645 + -641.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42 - 24. Let b be (-150)\/120*14\/(-10) + (-112)\/64. Solve -c + b*c = -4*d + v, -3 = -4*c + d for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 176, 173, 170, 167, 164, 161?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 714 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9450 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 + 829c0?\nAnswer: 829c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y - 1. Let v(r) = 11*r + 1. Let s = -6799 - -6801. Calculate s*f(k) + v(k).\nAnswer: 13*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + p = -5, -2 - 1 = v + 5*p. Let r(f) = 4*f**2 - f + 2. What is r(v)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**4\/9 - 158*g**3\/9 - 3830*g**2\/9 - 12518*g\/3 - 14520 = 0. What is g?\nAnswer: -45, -12, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.7 + -7.4. Sort -1\/10, l, -0.8 in decreasing order.\nAnswer: l, -1\/10, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -195, 1.37.\nAnswer: -195, -2, -1, 1.37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -19, -72, -161, -286?\n\"Answer: -18*y**2 + y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 322, 525, 704, 847, 942, 977?\nAnswer: 940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1666756481?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s = -1458 - 28482. Does 19 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 1683*u**3 + 304*u**2 + 19*u + 2643. Let m(w) = 561*w**3 + 96*w**2 + 6*w + 881. Let z(d) = 19*m(d) - 6*t(d). Differentiate z(h) wrt h.\nAnswer: 1683*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 6:22 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24866, -49728, -74576, -99404, -124206, -148976, -173708, -198396?\nAnswer: -223034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(1\/5)*h*h)\/h*h\/(h\/(h**(-7\/4)\/h)))**(-2\/17) assuming h is positive.\nAnswer: h**(11\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-3))**(-8\/9)*j**(-26\/7)*j*j**9 assuming j is positive.\nAnswer: j**(508\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 - ((-11)\/(-44) + (-87805)\/20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence szp when three letters picked without replacement from svdzsfp?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.6 (b) -3\/4 (c) 6 (d) -75 (e) -2 (f) -99\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 26*r - 75 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**3\/5 - 642*a**2\/5 + 43998*a\/5 + 44642\/5 = 0.\nAnswer: -1, 101, 221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (-2)\/(796\/260 + -3). Let w = -34 + h. Find j such that -3\/2*j**2 + 0*j**3 + 0 - j + w*j**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19249 - 384879\/20. Find the common denominator of ((-549)\/(-81))\/(6\/9) and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -0.26313.\nAnswer: -0.26313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 2543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31854585 to the nearest integer?\nAnswer: 5644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1667884.\nAnswer: 2, 43, 9697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 352 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0288 - -3.1872. Let t = w - 3.51. Round t to two decimal places.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3942 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 26*k**2 + 29*k + 44. Let h be j(-27). Sort h, 0.26, 19 in increasing order.\nAnswer: h, 0.26, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 10 = -x. Suppose -r + 31 = n, x*r + 200 = 5*n + 80. Is 13 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*v + 7, v = 4*h - 16 + 9. Let i(d) = d - 1 - 3 + 2*d**3 - 2*d. Let u(n) = 4*n**3 - n - 7. Calculate h*u(p) - 5*i(p).\nAnswer: 2*p**3 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.7 times 7633?\nAnswer: -165636.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -117*q**5 + q**2 + 306*q?\nAnswer: -2340*q**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of d**4\/12 - 3*d**3\/2 - 2*d**2 - d. Let x(z) be the first derivative of i(z). Calculate x(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.03 + -4.03. Suppose 0 = 8*n - 13*n. Let h be 2\/(-2) + 14\/18. What is the closest to h in r, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaaa when four letters picked without replacement from nanaaaqaaqaaqaaaa?\nAnswer: 99\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000009112 to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*y - 2519 + 2521 + 113*y.\nAnswer: 55*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*j + 4 = 0, -245*t + 243*t + j + 6 = 0. Let r be (-4)\/(-2*(-3 - -4)). Let 24\/7*x**r + 2\/7*x**t - 9\/7*x + 0 - 13\/7*x**3 = 0. What is x?\nAnswer: 0, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 250.3 * 54.825.\nAnswer: 13722.6975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by 30.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/((0 - (-60)\/(-16))*2\/10).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 3*r - 6 = 4*r, -3*r + 6 = 0. Which is the biggest value? (a) 8 (b) q (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 3. Let p be m(2). Let u(w) = 334*w**3 + w**2 - w + 1. Is u(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 307*q = 61*q + 8*q - 2263 + 6309 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313304 is divided by 104429.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1014 and 2714361.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.74 + 280307603837\nAnswer: 280307603836.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 + 36 = 16*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -16370760.\nAnswer: -1\/3274152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 35*c - 39. Suppose 3*b + 122 = -b + 3*v, 2*v - 91 = 3*b. Does 10 divide x(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -16*p**5 - 2*p**4 + 2*p**3 + 9*p**2. Let j(f) = -11*f**5 - f**4 + f**3 + 6*f**2. Let q(u) = -7*j(u) + 5*n(u). Let q(l) = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.79165l in millilitres?\nAnswer: 5791.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*i = -47 + 55, 0 = v - 5*i - 17. Solve 5 = -v*b - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 - 28. Let h(x) = -4*x**3 + 15*x**2 - 7*x - 7. Let f = 6 + -8. Let w(n) = n**3 - 5*n**2 + 2*n + 2. Let y(p) = f*h(p) - 7*w(p). What is y(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6642314820.\nAnswer: 2, 3, 5, 31, 419, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*i + 22. Suppose w = -s - 1, 3*w = 4*s + 26 + i. Suppose -6 = -o + w. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 - (2 - -5) - 33) + 6.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1512\/1152)\/((-3)\/4)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5*l**2 + 97*l + 192. Let z(u) = 4*u**2 + 98*u + 192. Let m be 9*(-4)\/(-3)*(-1)\/(-4). Let c(p) = m*z(p) - 2*h(p). Determine q, given that c(q) = 0.\nAnswer: -48, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 44413 + 10?\nAnswer: 44423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -527, -7, 2 in increasing order.\nAnswer: -527, -7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 146644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 8*k - 8. Let a be 1 - 0 - (1 + 0\/(-3)). Suppose -x + 7 - 1 = a. Determine m(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, x: 1, q: 1, a: 6, j: 3}. What is prob of sequence qx?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320 = 5*i - 80. What is the greatest common factor of 40 and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5818 by 47835.\nAnswer: -5818\/47835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34849 or -34845?\nAnswer: -34849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02066458 to 5 dps.\nAnswer: 0.02066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 110153 - 1034423?\nAnswer: -524230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -z**5\/20 - 7*z**4\/12 + 2*z**3\/3 - z**2 - 83*z. Let a be d(-8). Solve -a*m + 29*m = -1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of 41*h**6\/120 + h**5\/20 - h**4\/24 - h**3\/3 + h**2 + 11. Give a(-1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -20*t + 36. Let k(x) = -x**2 - 19*x + 37. Let z(w) = 4*k(w) - 5*o(w). Suppose z(q) = 0. What is q?\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-2016))\/((-1)\/8)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, p: 7, a: 2}. What is prob of picking 2 p and 1 a?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = -m - 28. Let n(h) = h - 5. Let w be n(m). Let g(i) be the third derivative of i**6\/120 + 3*i**5\/20 - i**4\/12 - 11*i**3\/6 + 7*i**2. Give g(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**7*t*t)**(5\/8)*(t\/(t\/(t\/t**4)))**40 assuming t is positive.\nAnswer: t**(-455\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -220, -87, 126, 413, 768?\n\"Answer: -q**3 + 46*q**2 + 2*q - 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 16*x + 200. Give r(-13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l + 3. Let t be z(3). Suppose t = -6*o + o + 10. Find the third derivative of 2*w**2 + 2*w**6 - o*w**2 + w**2 wrt w.\nAnswer: 240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 605 - 593. Let c be (r - 9)*2\/(-6). Is c at least -1\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -1\/2*x**5 - 1\/2*x + 0*x**2 + 0*x**4 + 0 + x**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 0*b = -4. Let h be 4 + (1 - 3) - b. Let c be -1 - (-67 + 2) - h. What is the highest common divisor of c and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134875883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 475847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 8*p**3\/3 + 5820284*p**2 - 5820285*p\/2 + 2182607\/6 = 0?\nAnswer: -2182607, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 6*y - 4*y)*(-59 - 3*y + 59)*(3*y - y - 14*y).\nAnswer: 144*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 676036.\nAnswer: 2, 169009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**3 - 18*a**2 + 274*a + 30. Calculate c(8).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 7, j: 4}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**3 - 27*p**3 - 9*p**3 + (-p + 0*p - 2*p)*(-5*p**2 + 5*p**2 - 7*p**2).\nAnswer: -11*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 0)*(-4*v**4 + 0*v**4 + 3*v**4).\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-24)\/(-18))\/(1\/3). Suppose 0 = 3*b + 3*p + 6, s*p + 24 = -3*b + 7*b. What is the third derivative of -33*z**b - 21*z**2 + z**5 + 70*z**2 wrt z?\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 + -136 + 74 + -30\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + ((-3)\/(-2))\/(18\/18516). Suppose -387 = -5*p - 2*c + 1155, 0 = 5*p - c - u. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (3 + -3 - -15) + -13?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 4:21 PM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5*(sqrt(112))**2)*-2.\nAnswer: 1116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - 84924?\nAnswer: -84923.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 6:37 PM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(200)*5 + 5 + -2 - (1 + (2 + (1 + sqrt(128))**2 - sqrt(128)))).\nAnswer: -126 + 42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -52*i + 11*i - 13*i. Is 21\/86 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 5*m**2 - 3*m + 18. Let v be d(5). Let g = 17.1 + -6.4. Let b = g + -11. Sort v, b, 0, -1\/10.\nAnswer: b, -1\/10, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -386*h**3 - 3*h**2 - 4*h - 349453.\nAnswer: -1158*h**2 - 6*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*f + 1 - f**3 - f**2 - 1 + 7*f - 55*f**5 wrt f.\nAnswer: -3300*f**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**31\/r)\/(r\/(r\/(r**(-4\/23)*r))*r) assuming r is positive.\nAnswer: r**(671\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 7:31 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -135 - -40. Let g be ((-342)\/h)\/(592\/295 + -2). Suppose 3*l - g = -129. Does 16 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 260822986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express a + 9 + 2*a - a as h*a + i and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.03, 5, -2\/7, -0.1 in decreasing order.\nAnswer: 5, 0, -0.03, -0.1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-260)\/195 + 38\/6. Solve 5*q = 8*p - 4*p + 12, 3*q - 2 = d*p for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 2*f + 412, -308 = -5*a - f - 837. Put 5, a, -5 in ascending order.\nAnswer: a, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 8 + 1 + 4*u - 2*u.\nAnswer: 2*u - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3 - -3)\/1)\/(1 + -3). Suppose 0 = -38*u + 35*u - t + 997, -5*u + t + 1675 = o. What are the prime factors of u?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - -19*(-5)\/(-40). Which is the closest to 3? (a) -4 (b) 3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 4 = -2, 3*y = -p - 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 225534, 225654, 225776, 225900, 226026, 226154, 226284?\n\"Answer: j**2 + 117*j + 225416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126, -255, -386, -519?\nAnswer: -654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 3, -8, -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13314 by -951.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(111 - 15 - 65)*(2*h - 3*h - h).\nAnswer: 124*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 216 and 348.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, r: 1, p: 1, g: 1, u: 1, q: 1}. What is prob of picking 1 q and 1 u?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*v**2)*(-3*v**2 + 6*v**2 - v**2) + v**4 - 2*v + 4*v**4 + 0*v.\nAnswer: 9*v**4 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13753 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5*((sqrt(637) - (-1*sqrt(637) - sqrt(637))) + sqrt(637)) + (sqrt(104)*2*-6)\/(-6*sqrt(128)).\nAnswer: -279*sqrt(13)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, r: 5, j: 1, e: 3}. Give prob of sequence frf.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -55*a**8\/168 - a**5\/30 + 565*a**4\/24 + 460*a**2 + 2*a. Find the second derivative of u(h) wrt h.\nAnswer: -2200*h**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -0.4. Let q be (-770)\/(-1400) - 3\/4. Sort y, -0.27, q.\nAnswer: -0.27, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 3*s + 31, 0*t + 4*t = -3*s + 41. Solve -2*x + 0*x - t = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a = -8073 + 7930 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 2, 6 in decreasing order.\nAnswer: 6, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 0*k = -2*y + 3, k - 2*y + 7 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/17 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5882\/28 + 182\/(-2548) is divided by 64?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - (1 + 0))*-3. Let a = -34 - -34. Let k(n) = n**2. Let t be k(a). Which is smaller: u or t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 2*u + 2*u**3)*(2*u**2 + 2*u**2 - 2*u**2) + (5*u**2 - u + u)*(0*u**3 - u**3 + 3*u**3).\nAnswer: 14*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 times 847.8?\nAnswer: 93.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 1\/4*h**4 - 1\/3*h**3 + 3*h + 2 - 1\/2*h**2. Let i be 0*(1 - 2)*1. Determine z(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of 2*j**4 + j**3\/2 - 3*j**2\/2 + 33*j. Let g be q(2). Calculate the greatest common divisor of 33 and g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2 = 2*c. Let w(b) = -b + 2*b**2 + 5 - b**3 - 2 + b**2. Let m be w(3). Solve c*z + m = 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 10640446.\nAnswer: 95764014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 19*i + 51. What is the least common multiple of 8 and p(3)?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q - 12. Let m be z(4). Let r(c) = 4*c**2 + 16*c + 16. Let f(l) = -l - 1. What is m*f(j) - r(j)?\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -27*16\/432*57\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*n - 126*n = 4*b + 18, -5*n - 18 = -4*b for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*m = -i - 22, -2*i + 21 = 3*m. Suppose -408 = -9*d - i*d. Does 17 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*b + 28*b + 10*b. Let n(t) be the first derivative of -49\/2*t**2 + 6 + b*t. Let q(g) = -2*g**2. Determine q(n(p)).\nAnswer: -4802*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9401644?\nAnswer: 2, 7, 467, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**4\/7 - 26*j**3\/7 - 961*j**2\/7 - 1726*j\/7 + 3384 = 0.\nAnswer: -18, -7, 4, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c65ba79 - -3?\nAnswer: -c65ba76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.875*-0.7.\nAnswer: 0.6125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -502216, -3 in decreasing order.\nAnswer: -3, -7, -502216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6948 - 6816 - 21*m**2 + 0*m + 0*m.\nAnswer: -21*m**2 + 132","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 3*t - 15. Let i = 49 - 42. Let s be z(i). Suppose -s - 4 = -l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.006 and -346.14.\nAnswer: 2.07684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + k + 84, 2*a - k - 166 = -2*a. Let p = a + -42. Is -3\/31 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + h - 12. Let a(s) = s + 1. Let c(j) = 6*a(j) + n(j). Let b be c(-7). What is the tens digit of b\/(-4)*(89 + -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.2 + -6. Let l = -0.11 + h. Let z = -0.090008 + l. What is z rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of 2047*l**7\/210 - l**6\/120 - 2*l**5\/5 - l**4\/24 - 681*l**2. Find the third derivative of x(r) wrt r.\nAnswer: 49128*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1802 + 1810.958. Let j = -9 + c. Round j to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 5*g**2 + 18*g - 16. What is the lowest common multiple of 16 and v(7)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 36 - 1\/((-190)\/(-456) - (-2)\/(-12)). Solve -4*g = -34*z + 31*z + v, 4*g + 12 = -2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {z: 1, m: 1, r: 1, l: 1, b: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 100*l**2 - 7*l - 2. Let n(j) = 2*j**2 - 2*j + 1. Give b(y) + 2*n(y).\nAnswer: 104*y**2 - 11*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f**(2\/17)\/f)\/f)\/(f**(-19)\/f))\/(f**(2\/17))**45 assuming f is positive.\nAnswer: f**(235\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4576530*p - 4681349 wrt p?\nAnswer: 4576530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 107*z**3 - 11*z**2 + 2*z - 17. Is j(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 146*z - 5. Let c(g) = -37*g + 1. What is 18*c(a) + 4*j(a)?\nAnswer: -82*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9172513?\nAnswer: 7, 1310359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.827929 rounded to one dp?\nAnswer: -40.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6956304, -27825219, -62606746, -111300885, -173907636, -250426999?\nAnswer: -340858974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6181636 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -14 + (0 - -2) + -3. Let o = 995 + -1134. Let n = d - o. List the prime factors of n.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 23?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-945)\/(-72) - 13)\/(-1*1). Let c = -0.3 - -0.4. Sort g, c, 0.3 in descending order.\nAnswer: 0.3, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 0, -3, -8, -15, -24, -35?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - ((-25)\/125 + (-17949)\/5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4*252\/(-70))\/(-24*(-31)\/18600).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 3*c - 2. Suppose -5*w = 20, 41 = -0*i + i - 4*w. Let r = -13 + i. What is the lowest common multiple of r and l(3)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r - r - 5*r)*(5 - 6 + 13) in the form t + j*r and give j.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i**2 - 3*i - 5. Let d be l(3). Let j be d\/28 - 20\/70. Let y = -127 - -1147\/9. Which is the nearest to j? (a) 0.4 (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4582777887 rounded to 3 dps?\nAnswer: -0.458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34 - -11 - -39) + -48.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132053?\nAnswer: 37, 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2554\/11 + -232. Let j be (-4)\/(-10) + 13\/5. Suppose j*h - 3 = 3*q, 5 = -0*q - 5*q + 4*h. Which is bigger: c or q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40337?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2 - 8*z - 3. Let f be o(-3). What is the first derivative of -22 - f + 8*x**4 - 21*x**4 wrt x?\nAnswer: -52*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1042, -2093, -3142, -4189, -5234, -6277?\n\"Answer: r**2 - 1054*r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*t + 65 + 119 + 32 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -6273 + 2673. Calculate the common denominator of -57\/100 and 10\/(-12) + (2894\/g - -3).\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of b**5\/12 - b**4\/12 - b**3\/6 - 9*b**2 + 2*b. Calculate i(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 186 = 51. Let l be 4\/(-3*6\/a). Suppose 2*m + m = 12. Put m, -2, l in ascending order.\nAnswer: l, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1005674, 2011336, 3016998, 4022660, 5028322?\n\"Answer: 1005662*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011805483 rounded to five dps?\nAnswer: -0.00118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84254993?\nAnswer: 31, 2717903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -68\/19259?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9126716, -18253431, -27380146, -36506861?\nAnswer: -45633576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2035313 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/(-25) - (-108)\/(-60). Which is bigger: t or 2\/839?\nAnswer: 2\/839","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 6*y**2 + 4*y - 1. Let a = 8 - 6. Let i be (-1 - 1)*(-5)\/a. Let l be i\/2*1*-2. Give x(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g**4\/5 - 37*g**3\/5 - 118*g**2\/5 - 16*g = 0. Calculate g.\nAnswer: -2, -1, 0, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 1)\/((-12)\/42). Let s(x) = x**2 - 11*x - 12. Let a be s(j). Let z = 199 - a. What are the prime factors of z?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u - 3*u**2 - 2*u**3 + 0*u**3 - 2*u**3 + 0*u. Let m(d) = -d**3 - d**2 + d. Calculate -3*m(o) + w(o).\nAnswer: -o**3 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 366433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/15? (a) 0.1 (b) -1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**3\/3 - 5*j**2 + 500\/3 = 0.\nAnswer: -5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*l*q**2 - 3*l - 8*q**2*z - 2*q*z**2 + 4*z**2 with respect to q.\nAnswer: 14*l*q - 16*q*z - 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x**2 - 44*x - 10. What is the units digit of n(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49.616 - -0.116. Let m = c - -67. What is m rounded to zero dps?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(110) - (sqrt(110) - ((sqrt(110)*-2 - sqrt(110)) + sqrt(110)))*1)\/(sqrt(60)\/(sqrt(24)\/sqrt(4)) + 1*sqrt(10)*2).\nAnswer: -7*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4004, -1, -5, -3, 5, 4 in increasing order.\nAnswer: -5, -3, -1, 0, 4, 5, 4004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-6))**(-5\/14)\/(((l\/l**4)\/l)\/l)**(5\/17))**35 assuming l is positive.\nAnswer: l**(3875\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-5))\/(((-2)\/10)\/1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/((-9)\/57))\/(-3 + 4). Suppose -31*x = -32*x + o. Calculate the highest common factor of 209 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 51648 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0*s**4 - 3 + 0 - 5*s**4 - 3*s**4 wrt s?\nAnswer: -32*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/210*40\/(-24).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33320 + 402001?\nAnswer: 313131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrfrfjrfjrjurr. Give prob of sequence fur.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -4*i + 4997, -i - 2*u - 197 = -1460. What are the prime factors of i?\nAnswer: 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1303 + 2279210090\nAnswer: 2279210090.1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 25\/(-75) - (-518)\/6. Let r = -7307\/85 + q. Suppose -f + 3*z = -10 + 2, f + 7 = -2*z. Which is greater: f or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 10:52 PM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 390436914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.2 + 0.2. Let g = l + 1.2. Let r = 2.65 - -0.35. Does g = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43*x**3 - 25*x**3 - 93*x**4 + 67*x - 18*x**3 wrt x?\nAnswer: -1116*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*u - 7*u - 72*u**3 + 2*u**4 - 16*u - 12*u to z*u**3 + r*u + g*u**2 + v*u**4 + y and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3 = -1, f + 4*r = 10. Let h be 2*(f - 25\/(-5))*5. What is the highest common factor of h and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59736.\nAnswer: 2, 3, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or 229230\/13073?\nAnswer: 229230\/13073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 160 - 163. Let v(b) = -5*b - 162. Let c be v(-33). Sort -24, 2, z, c in increasing order.\nAnswer: -24, z, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -296345073 and -525.\nAnswer: -296345598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sr when two letters picked without replacement from {s: 2, r: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 32*f**2 + 0*f + 29\/24*f**4 + 0*f**3 - 1\/30*f**5 + 0. What is the second derivative of h(x) wrt x?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.395277 and -0.1.\nAnswer: 0.1395277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -65, -258, -471, -716, -1005, -1350, -1763, -2256?\n\"Answer: -2*h**3 + 2*h**2 - 185*h + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5940 divided by -180?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 11 + 18*b + 7 to the form p*b + s and give p.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 - 4f?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 7:36 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1260)\/56*(-8)\/30\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 11*j**2 + 5*j + 4. Give f(-12).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/11 (b) -8 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/sqrt(9) + 2 - (sqrt(468))**2*2.\nAnswer: -934 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b4 (base 12) in base 9?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -10 + -8 + 6 + -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 230\/(-184) + (-13)\/(-4). Suppose 0 = 4*i - 4*m - 4, -5*i - 2*m - 24 = -1. Let y be i - -1 - -2 - -25. Solve 0 = -5*h + y, 4*h + 0 = o*n + 22 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence phh when three letters picked without replacement from hzphzzphh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 690701?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 3:18 AM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50362 (base 8) to base 4.\nAnswer: 11003302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 643166 - 11?\nAnswer: 643155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 376292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35156*j + 75 = -35171*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 3*c + 4. Suppose 0 = 2*a + 24 - 8. Let s be -4*2*4\/a. Calculate t(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 6*s + 6. Let f be k(4). Let b(a) be the second derivative of -54*a - 1\/3*a**3 + 1\/20*a**5 + 1\/12*a**4 + 0 - 3\/2*a**2. Give b(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s - 2*s**2 - s + (0 + 2 - 3)*(s**2 + 0*s**2 + s**2) + 0*s**2 + 4*s**2 - 5*s**2.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 341 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14904837?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000002371 to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 - -51. What is the greatest common factor of h and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 4)*(g + 2*g - g) - 3*g + 2*g + 3*g - g + 8*g + 2*g + (7 - 3 - 2)*(5 - 5 + 2*g).\nAnswer: 19*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/2 + (-14)\/(-44)*-1. Let p = -376.3 - -376.8. Which is the smallest value? (a) l (b) p (c) -224 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 20*w**2 - 4*w - 18. Calculate the remainder when m(-20) is divided by (15\/(-10))\/(2 - (-87)\/(-42)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -262*x + 7. Let n be h(-14). Let j(d) = -3675 - 2*d + n. Let o(k) = -5*k - 3. Calculate j(o(a)).\nAnswer: 10*a + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6342.276ml?\nAnswer: 6.342276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50379439 - -0.03097?\nAnswer: 50379439.03097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39520\/110)\/(-8) + (77\/847 - 4\/22).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 2*h + 10. What is the tens digit of u(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 259 = -29. Suppose -10*u + o = -7*u. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 24 = -3*f, 5*m = 4*f - 5*f + 24. Suppose -3*b - m*p = -238, 5*p = -5*b + 258 + 137. Suppose 3*q - 12 = b. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*q - 2 + 5 - 1 - 8*q wrt q.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6340612 (base 10) in base 7?\nAnswer: -104615515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-75)\/1125)\/((-1)\/10).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(2\/6))\/((-6)\/(-12)). Let o = 25 - 15. Let c = o + u. What is the second biggest value in c, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 2*y - 2*y - 48, 90 = 4*p - 5*y. Let m be ((-5)\/3)\/(3\/(-36)). What is the greatest common factor of p and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 2*g**2 - 35*g + 39. List the prime factors of d(9).\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z + 5. Let r be (-30)\/10 + 2 + 1. Let s be h(r). Sort -1, s, 3 in decreasing order.\nAnswer: s, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27\/170 + -2\/255. What is the second smallest value in -5, l, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 12:17 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuabuuauuu. What is prob of picking 2 a and 1 u?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 2*j**3 + 2*j + 19. Let d be a(1). Let n be ((-6)\/d)\/(63\/(-168)). Solve 0 = -3*i + f - 5, -n*f = i - 0*i - 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n + 35*n**2 + 9*n - 6*n to the form t*n**2 + o + v*n and give t.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 18 = -3*a. Let w = -4 + a. Solve 0 = i + w*p - 15, 5*i + 0*p = 2*p - 33 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j - 12, -26 - 25 = 3*m + 9*j for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 9:27 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 448 and 5088846?\nAnswer: 162843072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 839, 818, 775, 704, 599, 454, 263?\n\"Answer: -y**3 - 5*y**2 + y + 844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -8*d + 172. Let s be w(21). Let l(h) be the second derivative of -5\/12*h**s + 0*h**3 + 0 + h**2 + 3*h. Differentiate l(o) with respect to o.\nAnswer: -10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**3 - 8991*b**2 - 1095945*b - 30739797 = 0 for b.\nAnswer: -2871, -83, -43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-6))\/(-80)*-6.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -h**8\/14 + 7*h**4\/6 + 7*h. Find the third derivative of w(j) wrt j.\nAnswer: -480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 73*m**2 - 19*m - 781. Calculate j(-73).\nAnswer: 606","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8274717?\nAnswer: 3, 11, 37, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/4 and 5\/11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3455 minus -50719448521?\nAnswer: 50719445066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + h + 3*n + 102 = 0, 0 = -5*h - 3*n + 194. Let i = -26 + h. Let j = 14 - i. Solve 2*q - 1 = 2*p + j*q, 0 = 4*p + 4*q + 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**2 - 234*g - 3232 = 0.\nAnswer: -101, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41 or -665\/6?\nAnswer: -665\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b*b**(3\/5)))\/(b\/(b**(-4)\/b)))\/(b**(2\/3))**(5\/3)*(b**(-1\/2))**30*(b**2)**21 assuming b is positive.\nAnswer: b**(823\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 30*i - 58. What is c(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of z**7\/7560 + z**6\/540 + z**5\/120 - z**4\/6 + 3*z**2. Let m(j) be the second derivative of w(j). Factor m(k).\nAnswer: (k + 1)*(k + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 33*u**2 + 4*u - 14. Determine w(33).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.9117526 rounded to 2 decimal places?\nAnswer: 3.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/17, -4, 4, 7\/8, -4\/9, 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 16489*w + 148490. Determine y(-9).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2927 - 2927 + 483*v + (2 + 0 + 0)*(1 - 1 - 2*v) + v + 2 - 2)*(0 + 3 - 1).\nAnswer: 960*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 - 55?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, s: 1, u: 5, l: 1, t: 1}. What is prob of picking 1 s, 1 u, and 1 l?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w**2. Let p(x) = 2*x**2 - x**2 + 0*x + x. Let j(u) = 14*u**2 + 12*u. Let c(g) = -j(g) + 12*p(g). Determine c(i(z)).\nAnswer: -18*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -42 - 137 + 33*n**4 - 38*n**2 + 38*n**2 + 22*n**3. Find the third derivative of k(y) wrt y.\nAnswer: 792","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281*f - 150*f = -1834 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1\/5 of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 234088?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5743\/104022 + 2\/5779. Let n(i) be the third derivative of 0*i + 0*i**3 + 1\/90*i**5 - 4*i**2 - q*i**4 + 0. Let n(s) = 0. What is s?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -27. Suppose -5*v = 10 - w. Suppose 3*p = -0 + 9. What is the third biggest value in -0.1, p, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1901404?\nAnswer: 2, 475351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 204, 410, 612, 810?\n\"Answer: -2*d**2 + 212*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8887728.\nAnswer: 2, 3, 185161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -1 (b) 17 (c) -2\/11 (d) 63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (69 - 36 - 156) + 58.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-10))\/((-3)\/15). Suppose l = h*s + 2, s - 4*s + 11 = 2*l. Suppose -5*r + 63 = c + 18, 20 = l*c. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29301905689 minus -0.13?\nAnswer: -29301905688.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*q = 5. Suppose 10 = -5*k, -j + 15 - q = -2*k. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 3744?\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8, 19, 38, 65, 100?\n\"Answer: 4*x**2 - x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-7 + 20 - 8) + 0 + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1254029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2522726 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 4\/(-8))*-2. Suppose -b*c - 99 = -19. Let o be ((-3)\/6)\/(2\/c). Calculate the greatest common factor of o and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -4, -1\/3, 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - m = -2, 0 = k + 2*m - 11. Suppose -w = 5*t - 7 - k, 0 = 4*w + t - 13. Suppose -w*o + 5 = -2*o. Calculate the greatest common divisor of o and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -401.7680654 and 12.5.\nAnswer: -389.2680654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w**2 + 166*w + 4835. List the prime factors of l(-70).\nAnswer: 5, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i + 5*i - 4*i - 6 to the form a*i + x and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a - 8*a - 2*a as f + z*a and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.1275 + 1.12749983025. What is r rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21147 (base 9) in base 11?\nAnswer: a555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1663 - 1122. Is f 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 26828846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -9*c - 56. Let w be m(-6). Let v(j) = j**3 - 3*j**2 - j - 1. Calculate v(w).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 309 divided by -103\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/(140\/(-1260))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2291*m + 13770. Give h(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/7)*b)**29*b**(2\/29)*b**2\/b assuming b is positive.\nAnswer: b**(7786\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 543999 and 26373.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 13\/6*i**3 - 13*i + 0 - 12*i**2. What is the tens digit of c(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 14 (c) -1\/9 (d) 3 (e) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 571872747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-371)\/(-265))\/(1\/5). Solve -11*b = -l*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/(84\/(-54)) - 2\/4. Suppose o*m - 8 = -4*q, -q = -0*m - 3*m + 2. Put 0, 4, q, 8 in increasing order.\nAnswer: 0, q, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 252059?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -0.21 (c) -1 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(77)\/sqrt(7))**2*1 - (6*(sqrt(396)*4 - sqrt(396) - sqrt(11)))**2.\nAnswer: -114422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of i**4\/12 + 7*i**3\/3 - 9*i**2\/2 + 4*i. What is the remainder when 14 is divided by g(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4*3*(0 + sqrt(243)*3*1 + 6*(3 + sqrt(243) - sqrt(243) - sqrt(243))))**2.\nAnswer: -1084752 + 419904*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36741?\nAnswer: 3, 37, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 487584191?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1593 and 413?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 967794302.\nAnswer: 2, 483897151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 18 = 9*r, -8*a = -9*a + 5*r + 18 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.01, 52, -2\/9, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 165*r - 2 + 2.\nAnswer: -165*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4150013 to the power of 1\/2, to the nearest integer?\nAnswer: 2037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23013509?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*g - 59*g + 5335 = 36*g - 97*g for g.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5307 and 3197279?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 9*p**2 + 9*p - 5. Let f be h(-10). Suppose -f*c + c + 56 = 0. Solve 12 = 3*j + j, -c = a - 5*j for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1791082643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(468) + -4 - ((-3 + sqrt(468) + -2)**2 + sqrt(468)))*6.\nAnswer: -2976 + 360*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 68479566 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, r: 2, j: 1, m: 6, n: 2}. Give prob of picking 1 n and 1 r.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 z when two letters picked without replacement from zmcmfzcppvfcvcm?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2577 = -18*s + 6369. List the prime factors of s.\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1299486 is divided by 324616.\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 0*q + 0*q)*(q**2 - 2*q + 2*q)*(-200*q - 152*q + 290*q).\nAnswer: 124*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/(782\/19584*16)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -325000 + 6?\nAnswer: -324aa5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31591*v - 16849*v - 14732*v.\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 235 + -219. Let l be t\/(-48) - 14\/(-6). What is p in 4\/5*p**l + 4\/5*p - 1\/5*p**3 + 0 - 1\/5*p**4 = 0?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(320)\/sqrt(10)*6 + -3)**2.\nAnswer: -288*sqrt(2) + 1188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 13320.1148 and 38344?\nAnswer: 25023.8852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 5. Calculate the lowest common multiple of (b*1)\/(3\/(-21)) and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 943465 is divided by 140.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13 and 271.\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 + 372*u**2 + 61216*u - 123888.\nAnswer: -4*(u - 178)*(u - 2)*(u + 87)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 3:52 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -176 + 98. Let n = t + 84. Find the third derivative of -12*l**2 + 18*l**2 + 4*l**2 + 21*l**2 + l**3 + 2*l**n wrt l.\nAnswer: 240*l**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211060 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4*sqrt(171))**2.\nAnswer: 2741","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bct when three letters picked without replacement from bbbhctbv.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 5*r - 72 = 0, 115*h - 132*h - 4*r = -22 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) -6\/43 (c) -0.4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 11*d**2 - 20*d + 69. Let u be l(-7). Solve -15*f + 2*f = -u for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -6248?\nAnswer: -5\/6248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -2. Suppose -8*k = -3*x - 3*k + 16, -4 = x + 3*k. Suppose 3*q - 76 = -4*f, j*q + 24 = -x*f + 4*f. What is the remainder when 47 is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k**3 + 34*k**2 - 77*k - 312. Determine b(-10).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12002210010 + 12221?\nAnswer: -12002120012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-7 - -12) + (0 - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15.451 and 3.8.\nAnswer: 58.7138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in ten thirds of a day?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -103*q - 62 + 40 + 42 wrt q?\nAnswer: -103","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 13*m**2 + 885 - 2*m**2 - 885. Let g(z) = -4*z**2 - 20. Determine i(g(r)).\nAnswer: 176*r**4 + 1760*r**2 + 4400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3315.\nAnswer: 3, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15500 and 18919125?\nAnswer: 2345971500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*t = -2070. Is t\/(-2) + 1 - -3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, b: 2, v: 1, h: 1}. What is prob of sequence bh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 334\/22 + 166\/(-913). Solve 4*l + 8 = 3*b, -3*l + x = -b + 4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93351345 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (336\/8 + 15)\/((-2)\/(-54)) is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 676 and 1884.\nAnswer: 318396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.323 - 8.3241727. Round m to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1405 and 275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 40, -4.\nAnswer: -4, 2, 3, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -625*c**3\/2 + 1735*c**2\/2 - 1514*c. What is the derivative of p(a) wrt a?\nAnswer: -1875","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kicclklhll. Give prob of picking 1 h, 2 l, and 1 i.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (4 - (0 + 3)) - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 3. Sort s, 0.04, -3, 0.\nAnswer: -3, 0, 0.04, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**4\/12 + 4*b**3\/3 - 2*b**2 + 25. Give m(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -2. Suppose -m*n = -2*a - 7*n - 4, 2*a - 3*n + 4 = 0. Let j = -1 - 0. Is j less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -3, -17, 27, 10.\nAnswer: -17, -3, 1, 4, 10, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*p - 35400 - 60119. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-3 - -8) + -3 + -8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-12) + 26\/12. Suppose -d*v + 219 = -v - 3*y, 12 = -3*y. Let b = v + -147. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2, 6, 10?\n\"Answer: 4*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 1) + (7 - 5) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*f - 9089 - 7665 = -3610 for f.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 46.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 8. Let l = -579 - -577. Sort j, l, -3.\nAnswer: -3, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 30059, 60139, 90329, 120629, 151039, 181559?\n\"Answer: 55*k**2 + 29915*k + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54 - 2948*n + 219 - 1716*n - 52 - 113.\nAnswer: -4664*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 6*s + 283. Let z(b) = -2*b**2 - 9*b - 280. Determine 3*k(c) + 2*z(c).\nAnswer: -c**2 + 289","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55*(1\/30)\/((247\/78)\/(-19)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -25*w**3 + 6*w**2 - 6*w + 102. Let q(d) = -30*d**3 + 5*d**2 - 5*d + 101. Let u(x) = 5*o(x) - 6*q(x). What is the first derivative of u(v) wrt v?\nAnswer: 165*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y - 5. Let l(b) = -6*b**2 - 314*b - 5 - b**3 + 153*b + 153*b. Let j be l(-4). Let z(f) = -f - 2. Determine j*z(p) + 2*r(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -31519*c - 2. Let d be y(1). Let i be d\/(-31507) + -1 + 0. Let n = i + 751607\/135030. What is the common denominator of n and -70\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*p**5 + 1191*p**4 - 4*p**3 - 1090*p**2 - 59 wrt p?\nAnswer: 1200*p**2 + 28584*p - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 k when two letters picked without replacement from {l: 3, g: 1, m: 2, a: 6, k: 5}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - b - 16. Suppose -5*n = -6*n. Determine u(n).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**5\/9 + 140*y**4\/9 - 508*y**3\/9 + 124*y**2\/3 = 0. Calculate y.\nAnswer: 0, 1, 3, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 3*q - 4*q - 3*u, -4 = -2*u. Let h be 1\/(-4) + 147\/12. Calculate the greatest common factor of h and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 3312.\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2500*r**5\/3 - 2180950*r**4\/3 + 450997*r**3 - 92535*r**2\/2 + 2619*r\/2 = 0.\nAnswer: -873, 0, 3\/50, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -19*y - 223. Let q(d) = -29*d - 334. Let j(l) = 5*q(l) - 8*t(l). Calculate the remainder when 877 is divided by j(-10).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 + 93. Let z be 1*-3 - y\/(-8). Solve 0 = -z*g + i + 1 + 3, i + 1 = 2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -0.05 (c) 3 (d) -2 (e) 12 (f) -1151\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16018*f**3 - 7896 wrt f?\nAnswer: -48054*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-2*3\/2). Solve u = -k - 3*k - 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**2 - 17*y**3 - 10*y**2 + 12*y**2 + 22*y**3.\nAnswer: 5*y**3 + 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*v**3 - 3*v**3 - 31*v**3.\nAnswer: -15*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 9598, -6, 0, -4 in decreasing order.\nAnswer: 9598, 37, 0, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-10)*k*k**(-5)*(k\/(k\/(k*k*k*k*k**7)))\/(k**(-9)\/k))**(-1\/40) assuming k is positive.\nAnswer: k**(-7\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12100020201 - -12?\nAnswer: -12100020112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -681 - -172. Is -509 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10777244 divided by 1516.\nAnswer: -7109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from trstttttxbxxtxtr. Give prob of sequence rr.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*y**2 + 5*y + 4.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5*y - 4 = 7, -2*m + 36 = 3*y. Is (-6)\/m - 18618\/(-42) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2555662091?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9.3 and 0.4.\nAnswer: -3.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2*j = m + 3014, -3*j = 0. What is m rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/32*4)\/(2\/24)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 12:36 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6641700 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -198414000 rounded to the nearest 1000000?\nAnswer: -198000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d**2 - 297*d - 1630. Determine q(79).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3627697439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 3*t + 4*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-7874)\/(-14) + 284\/497 is divided by 38.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87659035 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3180614 is divided by 274?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54.9805 + -0.1195. Round z to the nearest integer.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1447069 (base 10) to base 8\nAnswer: 5412235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**3 - 3 + 99*j - 48*j - j**4 - 52*j as g*j**2 + i*j + t + a*j**3 + q*j**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/(27\/(-4)))\/(12\/9). Find the second derivative of -124*a**3 - 1 - o + 25*a - 16*a - a**2 + a**2 wrt a.\nAnswer: -744*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 2*x - 18 = 0, 3*i - x = 17 - 28 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -70.7 + 71. Suppose -2*x = -4*r + 22, 2*x - 10 = -r - 3*r. What is the second smallest value in r, -1\/10, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(153)\/sqrt(36)*1.\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333168452?\nAnswer: 2, 83292113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26854492?\nAnswer: 2, 7, 17, 56417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 461, 514, 565, 614, 661?\nAnswer: 706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 762 divided by -4359\nAnswer: -254\/1453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 158, -28, 0, 126, -3, -5.\nAnswer: -28, -5, -3, 0, 126, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -206 + 205. Let r = 0.66 + -2.66. What is the closest to r in -11, f, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 609 divide 17908565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l - 1. Suppose 3*a = -f + 5, -5*a + 35 = 3*f - 8*f. Let v(h) = 4*h - 4. Determine f*v(j) + 18*y(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 24 = -p. Suppose w + p*s = 29 - 1, 4*w + 2*s - 42 = 0. Let z be 12\/w*5\/(-6). Which is smaller: z or 2\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - l - 1. Let x = 116 + -111. Let g(w) = -6*w**2 + 7*w + 17. Let c(i) = x*f(i) + g(i). Calculate the remainder when c(0) is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 127 + 7*m - 127 + m. Let x(a) = a**2. What is x(v(b))?\nAnswer: 64*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/(-15) - 228\/(-30). Calculate the remainder when b\/2*342\/21 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 11*y + 28. Give r(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2773266 (base 9) to base 8\nAnswer: -5641521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 v when four letters picked without replacement from {l: 5, v: 4, e: 8}?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -38, -59, -78, -95, -110, -123?\n\"Answer: i**2 - 24*i - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -17*l. Let u(g) = 14*g**2 - 6*g + 6. Let t(s) = 12*s**2 - 5*s + 5. Let v(k) = 6*t(k) - 5*u(k). Determine w(v(p)).\nAnswer: -34*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 81) + (-28 - (-12 - (38 - (13 - 6)))).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 - 73*p + 26. Calculate n(36).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 400287490 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 1, 422, 34, -7 in decreasing order.\nAnswer: 422, 34, 1, -7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13000788 by -229.\nAnswer: -56772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12555 + -12552. Let f = -1 - -1. Let m = -3 - f. Sort -5, m, x in descending order.\nAnswer: x, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 67\/5 of a decade?\nAnswer: 1608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 156\/60 - (-3)\/(-5). Solve 22 = -2*l + 4*g, 3*g + c*g - 24 = -l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23324494174 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 117813.3 rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**3\/4 + 2051*n**2\/4 + 1048567*n\/4 - 3164187\/4 = 0 for n.\nAnswer: -1027, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c2d817 - 1?\nAnswer: c2d816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*o**3 - 5462*o + 13*o**2 + 5462*o to h*o + b*o**2 + l + u*o**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 52\/(-234) - (-2 - (-250)\/144). Let d(q) be the third derivative of -s*q**4 + 0*q**3 + 0*q + 0 + 5*q**2. Let b(a) = a. What is d(b(t))?\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4778\/(-19112) - ((31\/(-12))\/(-1) - 1).\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, -7\/86, -0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 11*v**2 - 36 + 21.\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 13*f + 8. What is the remainder when (-80)\/(-6) + (-16)\/(-24) is divided by a(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 119 - 1255 = 0. Let i = -212 + p. List the prime factors of i.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 3*z**2 + 2*z. Let c be f(3). Suppose q + c = 3*q. Suppose 0*x - 3*x + 4*y = -16, -14 = -q*x + 2*y. Put -4, x, 5 in decreasing order.\nAnswer: 5, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-10)\/(-320)*8). Let l = 8 + -5. Suppose 3*a + 5*w - 122699980 = 0, a - l*a + 81799984 = d*w. Round a to the nearest 1000000.\nAnswer: 41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 14. What is the nearest to -0.1 in a, 8\/5, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88928594.\nAnswer: 2, 53, 838949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8169605047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 121338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 106 - 53. Let j = -70 + 37. Let r = j + m. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*z - 41*z = u + 207, 4*u = 20. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2. Let x be p(-1). Suppose 0 = -x*t + 2*a + 4, 0 = -t - 3*t - 3*a + 29. Let w = -100 - -99.8. What is the closest to w in 1, t, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -4*x**2 - 6*x + 14. Let v(u) = -3*u**2 - 5*u + 13. Give -5*m(n) + 6*v(n).\nAnswer: 2*n**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 124192 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/7607 - -15235\/53249. What is the nearest to d in -26\/5, -4, -3\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.12? (a) -3 (b) 5 (c) 1\/7 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/12 - 71\/(-4). Let s be 4\/6*(-945)\/70*-18. What is the highest common divisor of q and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349751947?\nAnswer: 349751947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19 or 428\/23?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 8, w: 5, h: 5}. What is prob of picking 1 q and 1 h?\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -8. Let q be (-1 - c)*(-6)\/6. Solve -j = q*y + j + 12, 3*j + 14 = -2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 61, 62, 65, 70, 77, 86?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -0.1. Let j(n) = n**2 + 304*n + 11868. Let p be j(-258). What is the nearest to -4 in l, -0.4, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1896123*x**3 + 144101670*x**2 - x**5 + 145527900*x + 36501000 - 2737368*x**4 + 2745636*x**4 - 11*x**5.\nAnswer: -3*(x - 230)**3*(2*x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -795 plus 822720?\nAnswer: 821925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2 + 2 - 1787589*l**2 - 1787517*l**2 - 1787516*l**2 + 5362624*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.07 + -0.67. Let h = -1.6 + 2. Let m = h + l. Which is bigger: -1\/2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 16*f - 45. Let p be s(5). Solve -p*z = -19 - 21 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 53943565 and 0.36?\nAnswer: 53943564.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - -2 - -19 - (20 + -2 + 2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2. Let r(k) = -30*k**2 - 8*k. Let x(w) = r(w) - 5*v(w). Find the second derivative of x(h) wrt h.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-1*-4*6\/24.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-198) + 568\/(-143) + 4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58743?\nAnswer: 3, 61, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, -2\/3, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -204 and 1114.\nAnswer: -227256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + -5)**2*-6 + (sqrt(117) + -1)**2*-2.\nAnswer: -1088 + 192*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25351\/13 + -1951. Let y = f + 15\/13. Is y greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.04 or 0.027?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57042 is divided by 18728.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*x**3 - 20*x**3 + 41*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 7 = -3*m - 4, 0 = -4*f - m + 29. Solve -9 - 5 = -f*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 532.\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/7)\/(((z*z\/z**0)\/z)\/z))\/(z**5)**10 assuming z is positive.\nAnswer: z**(-352\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.0382 - 4522.\nAnswer: -4526.0382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108322 is divided by 713?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4567 - 11433 = -32*r. Calculate the highest common divisor of r and 300.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 257.\nAnswer: 771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 289942713 divided by -96647571?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of q**5\/20 + q**4\/12 + 7*q**2\/2 - 4*q. Let j(g) = -g**2 - 2*g + 3. Let c be 39\/(-12) - 1\/(-4). Let i be j(c). Determine b(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 a when two letters picked without replacement from {p: 4, a: 1, x: 4, z: 5, e: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*t, -5*a + t = -a. Suppose -14*p + 18 + 234 = a. Solve 2*m + p = 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 93*j**3 - 3*j**2 - 77. Let m(y) = 464*y**3 - 16*y**2 - 384. Let u(n) = 16*f(n) - 3*m(n). Differentiate u(z) wrt z.\nAnswer: 288*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1657327247 to the power of 1\/4, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/18120 and 173\/336720?\nAnswer: 50844720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 167540996 a multiple of 1856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 10:58 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 6*q**2 + 18*q - 106. Let w be l(6). Solve 25*o = w*o - 23 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 23 + 74586?\nAnswer: 745a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -265 - 113. Let i = k + 382. Solve -2*g + 2*y = -18, 0 = g - 0*y - i*y - 21 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 148927323 and 345.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3882895, -3882889, -3882883?\nAnswer: -3882877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 5*c**2 - 2*c - 2. List the prime factors of o(3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2.87 and 27 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 + 6*v - 6. Let b be g(-4). Solve -b = p + 3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39*k**4 - 9*k**2 - k - 7.\nAnswer: 468*k**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74020 by -4.\nAnswer: -18505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((f\/f**(3\/8))\/f*f)\/f**3)\/(f\/(f**(2\/3)\/f))**(-34))**(-23))**(2\/87) assuming f is positive.\nAnswer: f**(-23713\/1044)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 60157942*d**2*u**3 + 176655824*u**3 wrt d?\nAnswer: 120315884*d*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 3*w + w**2)*((-1 + 4 + 0)*(0 - 1 + 3) + (1 + 1 - 3)*(-2 + 5 - 4) + 2 - 4 + 3 + 2 + 6 - 1).\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*p + 6*p + 3*p**3 - 22*p + 6 + p**4 + p**2 to the form c*p**2 + z*p + r*p**4 + q*p**3 + u and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 225620 rounded to the nearest ten thousand?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)*-4)\/(-2*sqrt(2)*-3) - (sqrt(3) + sqrt(33)\/sqrt(176) + 4*sqrt(6)\/sqrt(2) + -1*(sqrt(3) - ((-1*sqrt(15))\/sqrt(5))**2)).\nAnswer: -91*sqrt(3)\/12 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 159 and 81196.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -81*q + 294*q - 12354 for q.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 7:02 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(2\/3))\/j*j**(3\/8))\/(j\/(j**(-2\/3)*j)*j)**36 assuming j is positive.\nAnswer: j**(-1415\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.59508 - 0.12938. What is n rounded to one dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 7*x + 8. Let o = 154 - 124. What is the remainder when o is divided by b(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -1458*g**2. Let h(f) = -5*f - 2. What is p(h(n))?\nAnswer: -36450*n**2 - 29160*n - 5832","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 4 (b) -4 (c) 5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -428*r - 425*r - 429*r - 424*r + 1714*r.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2811 and 17?\nAnswer: 47787","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -108825 (base 9) in base 11?\nAnswer: -45283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c1a - 1?\nAnswer: 1c19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19815 - 10288. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 1:04 PM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 38 - 103. Let a = 251 - 238. Calculate the highest common divisor of h and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2108 - 46630.\nAnswer: -44522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1124705 to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 2094*c + 62992.\nAnswer: 2*(c + 31)*(c + 1016)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x - 2. Let j(l) = -13*l + 13*l - 7*l + 13. Let u(m) = j(m) + 5*o(m). Determine u(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d**2*l + 6700482*d**2 + 33168*d*l**2 + 75*l wrt l.\nAnswer: d**2 + 66336*d*l + 75","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.033991607582853 + -0.2.\nAnswer: -0.233991607582853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -48*j**2 - 3173*j - 300. Calculate o(-66).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 1177*q**2 + q + 4. Let m be v(3). Round m to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 0, -29.9, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d. Let z = -19 + 23. Let v(f) = -6*f + 1. Calculate z*t(g) + v(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1549*h - 1608*h + 279 = -724 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (6*sqrt(224))\/(sqrt(18)*4)*-6)*-3.\nAnswer: -3 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 + 23*m + 64. Calculate n(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 5. Suppose q = -4*q + y. Is 3 a factor of 6 + q + -4 + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o*(o\/(o\/o**(2\/3)))\/o*o)*o*o))**(-1\/12)\/(o\/(o*o**11)*o**(-2\/3)\/o))**(-18) assuming o is positive.\nAnswer: o**(-457\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 18*d + 15*d - 20*d + 29*d to r*d + k and give r.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -143*k**2 + 7*k**2 + 5 + 2*k + 9*k**2 + 8*k**2 + 103*k**2 + 15*k**2. Suppose 0*w + 16 = 2*w. Give i(w).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jmvxmxxmmxvmjxxmmxv. What is prob of picking 2 m, 1 x, and 1 v?\nAnswer: 147\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40 * -7.\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -5*g - 15. Let n be (3\/g)\/(2\/3). Suppose 18*w + 6 = 12*w. Which is the third smallest value? (a) -0.1 (b) n (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.28*-0.06.\nAnswer: -0.0168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-114)\/76)\/((-2)\/(-4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 8:50 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 3:56 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15 and 30.37.\nAnswer: -455.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s. Let i(g) = 18*g**2 - 30*g**2 + 18*g**2. Calculate z(i(a)).\nAnswer: 30*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 7311*v + 1184384. Determine g(-162).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 8:02 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -119 + (-5 - 341022\/(-2750))\nAnswer: 1\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 629 = 194. Let j(y) = 13 - y - y - 3*y. Let f be j(-9). What is the highest common divisor of m and f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -74 and -1.91401.\nAnswer: 141.63674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*f + 40*f - 8 = 0. Calculate the common denominator of -44\/15 and f\/400*145 + 1\/3.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48128 is divided by 617?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -284937, -285627, -286785, -288417, -290529?\n\"Answer: -g**3 - 228*g**2 + g - 284709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20\/6)\/(-1)*(-126)\/105. What is the greatest common divisor of 1 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 312 = -0*n. What is the smallest common multiple of n and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 9 - 63. Let f be 17\/9 - 3\/c. What is the second derivative of -f*g - g - g + 3*g - 13*g**3 wrt g?\nAnswer: -78*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4265 and 14501.\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - (-1 + -3)) + 1570. Suppose -b = -0*t - 4*t + o, t = b + 395. Suppose 6*c - t = -158. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1078 - 1089. Let d(y) = -y**2 - 10*y + 9. Give d(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17160376 by -1.\nAnswer: -17160376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -324422204 (base 5) to base 13\nAnswer: -3a2493","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4027167 (base 11) in base 9?\nAnswer: 14358637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*y**2 + 71*y - 71*y)*(4*y - 5*y**3 - 4*y + (-24*y**3 + 2*y**3 + 4*y**3)*(0 + 0 + 5)).\nAnswer: 855*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, l: 2, t: 2, u: 1, k: 6}. Give prob of picking 1 t and 1 z.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 + -1.2. Let h = -6 - v. Let w = -6 - h. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -77068, -308249, -693550, -1232971?\n\"Answer: -77060*h**2 - h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 6311*x - 24. Let w be b(-6). Let f = w - -4390. What is f rounded to the nearest 1000?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6635 + -53141\/8. Find the common denominator of a and 4\/1933.\nAnswer: 15464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52475391?\nAnswer: 3, 1943533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/11))**(-13\/4))**(-34)\/((q**2)**(-16))**(-25) assuming q is positive.\nAnswer: q**(-9021\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**3 - 6*r**2 + 4. Let z(q) = -3*q**3 + 7*q**2 - 5. Let h = -13 + 26. Suppose 0 = 3*w - h - 2. What is w*v(j) + 4*z(j)?\nAnswer: -2*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, k: 4}. What is prob of picking 2 k?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-222)*(-8)\/84*-6?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-2)\/8 - (-539)\/(-308)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 472, 2, -17, -2, 57, 0 in increasing order.\nAnswer: -17, -2, 0, 2, 57, 472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 48\/28)*-7. Let n = m - -22. Calculate the remainder when 17 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 85, 81?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 4*h**2 + 27*h - 43. Suppose -4*a = 5*s + 2328 - 2331, -4*a = -s + 39. Determine n(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**3 - 4 + 4 + (-20*p**2 + 10*p**2 - 96*p**2)*(-p - p + p) to o*p + n*p**3 + y + b*p**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-489 + 843 - 653)*(6 + 43 - 26 + u**3) as y*u**3 + b*u**2 + k + j*u and give k.\nAnswer: -6877","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29878212 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -34372, -34366, -34360?\n\"Answer: 6*w - 34378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-3))\/t)\/(t\/t**(-7)))**(7\/6) assuming t is positive.\nAnswer: t**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -2*f + 12, -12*f = -11*f + 3*k - 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s - 2. Let j be (0 + (-108)\/(-15))*5. Suppose -5*h + 6 - j = 0. Let i(b) = -b. Calculate h*i(f) - k(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -8*c - 573. Let j be r(-76). What is the highest common divisor of j and 112?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 193185484?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.47 + -0.47. Suppose -5*c - 2*w + 15 + 1 = 0, -2*w + 14 = 4*c. Let j be (c\/6)\/((-2)\/(-4)). Sort j, 1\/3, b in ascending order.\nAnswer: 1\/3, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 17*x - 15. Let w(q) = -8*q + 7. Suppose -t + g - 14 = -0*t, 4*t + 54 = 2*g. Let p = -32 + 45. Let l = p + -19. What is l*y(k) + t*w(k)?\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -847 or -570?\nAnswer: -847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*t + 3 - 9, 16 = -2*f + 2*t. Let y be ((-48)\/18 + 4)*f\/2. Let w be 16\/(-40) + y\/(-40). Which is the closest to -1? (a) -4 (b) w (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1644166 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9240812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-18)\/(-4))\/3)\/(-5*(-45)\/(-2400))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 2. Let f be l(2). Factor 2 - f*t**2 - t**4 + 4*t**4 + 9*t**3 - 8 - 9*t + 9*t**2.\nAnswer: 3*(t - 1)*(t + 1)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 160944 by -2.\nAnswer: -80472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a microgram in nanograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8 - -10)\/(2\/24). Let f = 44 - a. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 9 = 2. Suppose 9 = 3*v - 0*v. Let z = x - v. Is 4 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = h - 3. Let m be 2\/3*(-30)\/h. Is 114\/m*(-4)\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 6 = 3*u - u, q = -5*u + 15. Solve o + 12 = -q*o + 2*j, -4*j + 10 = 5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 119 and 493413984.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*g - 14*g**2 + 18*g)*(0*g - g - 3*g)*(0*g**2 + 3*g**2 - g**2)*(3 - 4 - 4).\nAnswer: -560*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide (-2154)\/(-7)*(-2856)\/(-544)*56\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (2 - (4 + -2))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (86 - 89 - (-3 + 2 + -2))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2612294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20967 plus 3?\nAnswer: 20970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3432 divided by -858\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/((-72)\/(-32)))\/((-6)\/50943). What is x rounded to the nearest 1000?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 - -104.\nAnswer: 104.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.626 or -115\/8?\nAnswer: -115\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 8:21 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 5038722*c**2 + 16470*c - 1647. Let a(x) = -21411*x**2 - 70*x + 7. Determine 1647*a(v) + 7*s(v).\nAnswer: 7137*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 296a3d - -18?\nAnswer: 296a57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 2*m + 29, -2*n + 2*m - 43 = 3*n. Let x(l) = -l**3 - 9*l**2 - 8*l + 5. Let j be x(n). Calculate the highest common divisor of j and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dpu when three letters picked without replacement from durrrrpudrpudrd.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 4, 5, -216, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11232 and 2710240.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 110077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 188*c + 20502. What is q(-109)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from huehjhhuhhuhuuhh. Give prob of sequence hu.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 450, 689, 1080, 1629, 2342?\nAnswer: 3225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(2\/9))**(-43)\/(f**(2\/33))**(-2\/55) assuming f is positive.\nAnswer: f**(-286153\/5445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 84861631 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -593*d + 538*d = -660 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 3*o = 15, -47*p = -126*o + 123*o + 273 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 1935, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -531063*g + 531063*g + 847*g**2.\nAnswer: 847*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1 + 6\/5 - 117286\/(-845) is divided by 50.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 4841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*a + 150 = 105*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7 + 2.3. Let b(u) = 2*u + 26. Let z be b(-12). What is the third smallest value in m, -2, z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 + 36*p**2 - 255*p**3 - 43*p**2 + 1 - 1.\nAnswer: -255*p**3 - 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*g**3*x + 3938*g**3 - 2*g*x + 3069*x wrt g?\nAnswer: -18*g*x + 23628*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c. Let o(x) be the first derivative of 128 + 1\/2*x**2 + 4\/3*x**3 + 0*x. What is o(l(g))?\nAnswer: 36*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 78883843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x - 3*x - x - 6*x + 0*x + 0*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + r + 1. Let g(k) = 10*k**2 + 8*k + 4. Let z(h) = -4*c(h) + g(h). Let n(y) = y**2 + y. Calculate -4*n(t) + z(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**3 + 101*u**2 + 756*u + 65. Calculate j(-9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 2*p + 0 + 1\/6*p**3 + 1\/2*p**2. Calculate c(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 286*c**2 - 5*c - 56. What are the prime factors of i(-5)?\nAnswer: 3, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 49532602*y - 73539. Let o(h) = -8083*h + 12. Calculate -4*a(g) - 24513*o(g).\nAnswer: 8171*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -142*h + 12. What are the prime factors of j(-3)?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/5 (b) 0.51 (c) -127170\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 40*l**2 - 78*l - 172. What is the hundreds digit of n(-34)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a22597 (base 12) in base 2?\nAnswer: -10101000011101011000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -10. Suppose f = 4*k - 8*k + 48. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 13 = -4*f, 0*b - b + 2*f = -19. Find the second derivative of -9 + g - 6*g**3 + g**2 - 3*g**3 - 6*g**3 + 19*g**3 + b*g**2 wrt g.\nAnswer: 24*g + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 14 + 2 + -20 + 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of d**6\/120 + d**5\/60 - 7*d**3\/2 + 33*d**2\/2 + 28. Let l(f) be the second derivative of n(f). Calculate l(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4420 divided by -17\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/60*3\/((-36)\/(-16))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, v: 1, c: 2, f: 4, u: 4, x: 2}. Give prob of sequence uv.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {f: 10, t: 9}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 25 - 60. Let o = 95 - a. Is o a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 316 divided by -2\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-8)\/(-6) + ((-32240)\/15)\/(-2) is divided by 98?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 5*c**2 + c - 7. Let j be v(5). Let x be (-14)\/12 - 6\/(-4). What is the nearest to 4 in j, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -13 + 17*m**2 + 24 - 15*m**2 - 11. Let f(s) = -3*s + 3*s + 15*s**2. Give f(h(g)).\nAnswer: 60*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63)\/(-56) + -1 - 2665\/328?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.6279 from -3.7096608413.\nAnswer: -4.3375608413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 28126575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Convert 4551 (base 9) to base 14.\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**2\/t*t**(-15)*(t\/(t\/t**(-5\/3)))\/t*t**(-4\/11)*t)**(-25) assuming t is positive.\nAnswer: t**(12400\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1486 and 16.\nAnswer: 11888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 987 a factor of 2920643544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jggbjjjjjjtjjbhbjj. Give prob of sequence hbt.\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25514 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 996103366?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 775126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.115 + -25.885. Which is bigger: i or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 + 35466190*w - 141864680.\nAnswer: -5*(w - 7093234)*(w - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 436 and 968.\nAnswer: 105512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.19999977 + -4.2. Round i to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22954*c**2*y**4 + 865*c**2*y**2 + 9*c**2*y + 2*c**2 - 38*c*y**3 - 9*c*y wrt y.\nAnswer: -550896*c**2*y - 228*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, e: 1, m: 2}. Give prob of sequence mej.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and (1 - (-4 - (-520)\/56))*-35?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/353 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 1. Suppose 0 = 4*m - 4*p + 8, -n*m - 8 = -4*p. Let d(s) = -s + 10. What is d(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 1\/5 (b) 4 (c) -2\/27 (d) -275.45 (e) 6\/5 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 0*d + 10533 = 2*g + 10453, 0 = d - 16*g + 51 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 476167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3464534 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/15 + 96\/(-160)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17 - 44467711?\nAnswer: -44467728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -27. Let u be (1\/(-8))\/(a\/(-26)). Factor 0 - 1\/4*x + u*x**3 + 0*x**2.\nAnswer: x*(x - 1)*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -y**6\/21 - 2*y**5\/5 - 15*y**4\/14 - 6*y**3\/7 + 740. Suppose l(p) = 0. What is p?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/10 of a microsecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -14533*-2*(-3)\/22086. Let k = -3\/818 - f. Calculate the common denominator of k and 27\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/170 and 191\/8160?\nAnswer: 8160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/615310 and 59\/12950.\nAnswer: 21535850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -157 + 155 + (-1 - 4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 956825.8m in millimeters?\nAnswer: 956825800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 258767?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 17. Let m(c) = -1 - 3 - p + 11*c. Let o be m(4). Calculate the greatest common divisor of 12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 9*u + u**3 + 0*u + 10*u**2 + 5*u - 5*u + 8. What is the remainder when 37 is divided by p(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1597*y - 3057*y - 1379*y - 4908*y.\nAnswer: -10941*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 614*t = 511*t + 780*t + 5823 + 21257 for t.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -2*g - 2*m + 119, 5*m + 300 = 5*g. What are the prime factors of g?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1609516.8 months in decades?\nAnswer: 13412.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10647 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 i = 8 - 4. What is the remainder when i is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.02250452 + 7.82255352. Let x = -7.8 + v. Round x to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 13 = 3*x, 4*x - 13*c = -17*c - 20 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 - 30. Suppose 5*r = -n + 3*n + i, -r = -4. Let d(y) = -y + 4. Calculate the remainder when n is divided by d(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3460 + 3462. Solve -f = 3*f - n*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 8*b**3 + 3*b**2 + b + 3. Let d be o(-3). Let w be (-4)\/18 - (-336)\/d. Let v(s) = -3*s**2 - 2. Determine v(w).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196 - 385 = -21*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -c**2 + 8\/15*c**3 - 65 - 12\/5*c. Factor g(m).\nAnswer: 2*(m - 2)*(4*m + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 18\/11 (c) -4 (d) 25 (e) -18 (f) 0 (g) -1\/51\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -2*j - 24. Suppose j*m - 12 = -0*m. Calculate the greatest common divisor of 2 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6035, -3, 101 in descending order.\nAnswer: 101, -3, -6035","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 135*x + 3288 = 139*x, 5*n = 2*x + 5506. What is the greatest common factor of n and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -262, -925, -2030, -3577, -5566, -7997?\nAnswer: -10870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (2233\/748 + -3)*-4\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 250144 (base 6) to base 5\nAnswer: 1201341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2))**10)**0 assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + (7 - 23) - 65 - (-2 + 4)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*x + 68*x + 2*x)*(-51 - 14*x + 51) + 11 - 11 - 3*x**2 to d*x + q + a*x**2 and give a.\nAnswer: -1151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 488186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 174 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 550*l + 2. Let c(r) = 2*r**2. Calculate i(c(d)).\nAnswer: 1100*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n**3 - 23*n**3 + 11*n**3 + 4*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j + 0 + 1 - 1.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 90, 214, 390, 618, 898?\nAnswer: 1230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116 and 448.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*b**3 - 3122004*b**2 + 284396181*b - 51605190 = 0 for b.\nAnswer: 2\/11, 91, 94515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2 = -3*g + 3, 2 = -2*f. Let m = -0.059 + 2.959. Let p = -3 + m. What is the nearest to p in 5, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -569*x + 606*x + 833980. Which is smaller: x or -22539?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1432\/(-895))\/(4\/(-10)). Solve 3*z + z = -2*v + 4, 4*v = -s*z + 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -3 - -8 - 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000008446875 to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 142115119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 6 = -4*u. Let s be 3*u\/9 - -2. Suppose n - 4*r = r + 19, s*n - 4*r = 57. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 9*c + 10. Let u be q(-8). Let i = u + 203. Suppose 5*z - 34 = i. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 466743 a multiple of 210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 538 not equal to 185192?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2651617*f*x**3 + f*x**2 + 3559*x**2 - 218*x wrt x.\nAnswer: -15909702*f","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2629506, 2629507, 2629508, 2629509, 2629510, 2629511?\n\"Answer: g + 2629505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 450*p + 507 = 489*p for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -1, 12, 0, -3, 263.\nAnswer: -3, -1, 0, 12, 20, 263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(9)*2) + sqrt(3) + sqrt(192)\/sqrt(4).\nAnswer: 11*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 12495210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**7*n**(-9)*n assuming n is positive.\nAnswer: 1\/n","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - l - l)*(5 - 1 + 14) - 26*l - 20 + 20 + 4*l - 5*l + 0*l.\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121.38749ns in days?\nAnswer: 0.000000000012979021875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57252888 is divided by 1270?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence drtr when four letters picked without replacement from yrydyrcrrytrr?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - (-7 - -17)) + 6.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2) + (sqrt(6) - sqrt(96))\/sqrt(3) - (-1*sqrt(72) + sqrt(8) + -3))**2.\nAnswer: 16*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0)**(-5\/13)*q**10*q**(2\/13) assuming q is positive.\nAnswer: q**(132\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of r**4\/48 - 475*r**3\/24 - 119*r**2\/2 - 211*r - 5. Suppose g(t) = 0. Calculate t.\nAnswer: -1, 476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*p + 5*q, -193*q + 196*q = 9 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 652580000 rounded to the nearest one million?\nAnswer: 653000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and -13?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26393403 is divided by 77.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + 3*b - 37, 2*q - b + 2*b = 14 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12807513 or -12807512?\nAnswer: -12807512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 0*f + f - 3*f. Suppose 5*m + s - 3 = 0, -3*m + 4*s + 6 + 5 = 0. Let g(n) = -m + 168*n - 167*n + 1. What is g(l(d))?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -11\/3, -3467 in decreasing order.\nAnswer: -3, -11\/3, -3467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 14. Let n(i) = -k*i + 5*i + 0*i. Let t(w) = 4*w. Determine t(n(p)).\nAnswer: -32*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3896 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 112*g*x + x + 2 wrt g.\nAnswer: 112*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/687 + -5729\/2748. Let c = -8648 + 52007\/6. Calculate the common denominator of r and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 28090238?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2517086 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.20617785 - -837.\nAnswer: 833.79382215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (4 - (-36)\/(-40))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*r = -3, 4*c - 32 = -3*r - 0. Sort 2, -5, c in descending order.\nAnswer: c, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (21 - 33 - 73)*-140?\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10339943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*w = 10, -4*w = 5*x - 5*w + 8. Let z(n) = -n - 2. What is z(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/20857956?\nAnswer: -1\/20857956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 4:08 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y. Suppose 0 = -5*q - q. Let c(o) = -2*o + 2*o + q*o**2 + 3*o**2. Determine c(a(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 9*s**2 + 2*s + s**2 - 4 - 5 - s**3. Is 9 a factor of c(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h**2 - 5*h**2 - h**2 + (-2*h + 0*h + h)*(3*h - 9*h - 14*h).\nAnswer: 19*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/195 - (-3940)\/780.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in -4, 0.7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 81123231*t**3 - 13536639*t**2 - 3*t?\nAnswer: 486739386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 739 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1021848152 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 7\/3, -5, -2\/5 in increasing order.\nAnswer: -6, -5, -2\/5, 7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -61 - -56. Let s(b) = -b**3 - 6*b**2 - 2*b - 1. What is s(l)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-4)*(-5)\/10. Let n = 1 - 1. Which is the second smallest value? (a) 0.3 (b) n (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 1\/2 (b) 2\/17 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15.98 + 15.97906675. Round u to 5 dps.\nAnswer: -0.00093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, y: 4, d: 1, h: 3}. What is prob of picking 3 h?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.9, -5, 4, 1\/3, 16?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*b, -2*p + 2*b - 9 = -3*b. Let f(l) = 4*l**2 + l - 3. Let n(c) = -75*c**2 - 24*c + 53. Let m(z) = 19*f(z) + n(z). What is m(p)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 6 - 47*i**3 + 91*i**3 - 45*i**3 + i. Let z be t(0). Let p(n) = 4 - 7*n**2 + 6*n - n**3 - 9 + 2*n**3. Determine p(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14420*c - 12 = -2*l - 14417*c, 11*c = -4*l - 10 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n - 32. Let q(o) = -o**2 - 30*o - 93. Let t be q(-27). Let f be h(t). What is the highest common factor of 2 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 10*s**4 - 7 - 3*s**2 + 1 + s**3 + 11 to the form f + x*s + d*s**3 + r*s**4 + k*s**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from ssssssssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 310195 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 + 2*f + (-2 + 1 - 1)*(2*f - 2*f - 2*f) + (7 + 11 - 7)*(-1338 + 1338 + 125*f) + (1 - 1 + 2*f)*(-1 + 6 - 3) - f + 2*f - 3*f as w + i*f and give i.\nAnswer: 1383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 173, 1, 4 in decreasing order.\nAnswer: 173, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-77))\/(24\/(-432)) - 38\/(-209)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 5*o**4\/2 + 10*o + 2. What is the derivative of v(d) wrt d?\nAnswer: 30*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -186946.8 + 2\nAnswer: -186944.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -178429*5\nAnswer: -892145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1257, 2509, 3759, 5007, 6253, 7497?\nAnswer: 8739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -7*t**2 + 46*t - 23. Let a be r(6). Let w be 2 + a + (-49)\/(-7). Solve -3*v + 3 = 3*i, -3*i + i = 4*v - w for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 165199\/14 - 11807. Find the common denominator of -25\/78 and b.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -l**5\/60 - 7*l**4\/24 + 3*l**3\/2 + 14*l**2 + 2*l. Calculate w(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3288.9423 - 3116.953. Let w = 193 - 365. Let y = w + m. Round y to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 6*i**2 + 2*i - 8. Let p(x) be the second derivative of -4*x**3\/3 - x. What is the least common multiple of m(6) and p(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -68455.732 * -1.\nAnswer: 68455.732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z + 1. Let o be (-13)\/(1287\/22) - 83\/(-9). Suppose o = 5*k + 24. Let c(v) = 2*v**3 - 3*v - 6. Determine k*j(q) - c(q).\nAnswer: -2*q**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + n = -h, -4*n + 4 = 0. Let o be h\/((-12)\/9)*4. Let l(v) = -v**3 - v**2 + 4*v + 2. What are the prime factors of l(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 720398 divided by -4?\nAnswer: -360199\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - -1 - (35 - 28 - 16).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1717 - -1725. Solve 5*i + n = -24, 3*n = -4*i - r - 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -116.95 + 107.75. Which is the biggest value? (a) -5 (b) u (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 237 from 373193.\nAnswer: 372956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/40656 and 129\/616.\nAnswer: 40656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**4 - 2814*a**3 + 8454*a**2 - 8458*a + 2820 = 0.\nAnswer: -1410, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 4*h - 0 - 12, -9 = 3*l + 3*h. Let r(m) be the second derivative of 0 - 5*m + 0*m**2 - 1\/6*m**4 + l*m**3. Let b(z) = -5*z**2. What is r(b(t))?\nAnswer: -50*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + 11.058.\nAnswer: 12.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-217)\/(-126)*3 - 2\/12\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 - 6)*(-2*s + 3*s - 3*s).\nAnswer: 24*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, 2\/3, 12?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584)*-1*6 + sqrt(1584))*4*-6*-4.\nAnswer: -5760*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60770 divided by -60770.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 8*v + 10. Let x = 5.8 - 6. Sort -4, v, x in descending order.\nAnswer: x, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9310 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yw when two letters picked without replacement from {w: 6, u: 1, y: 2, o: 3, s: 1, d: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1386 - 360 - 3199)*(-4*j**2 + 5*j**2 + 0*j**2 + (-3*j**2 + 4*j**2 + j**2)*(1 + 3 - 2) - 2*j**2 + 2 - 2).\nAnswer: -6519*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*k - 21*k - 4964466 = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2244544 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 7 + -40 + 19?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 95080, 76958, 58834, 40708?\n\"Answer: -q**2 - 18119*q + 113200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1223 - -724.1. Let n = l - -499. Is n > 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 17*r. Let y(l) = 0 - 1 + 18 - 2*l - 35. Give y(j(z)).\nAnswer: -34*z - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*p = 4*s - 122*p + 15, 79*s + 228 = -3*p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 164a0 (base 12) in base 8?\nAnswer: 76070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217*k = -218*k + 78. Calculate the greatest common factor of 26 and k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 9 = f, 5*t + 5 = -5. Find the third derivative of 2*w**2 + 100*w - 100*w - 11*w**f + w**5 wrt w.\nAnswer: -600*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -14*q**2 + 6849*q + 22. Let v(m) = 4*m**2 - 1711*m - 6. Let o(s) = -6*i(s) - 22*v(s). Solve o(y) = 0 for y.\nAnswer: -863, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74495 to the power of 1\/2, to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-9) - -1)*6. Suppose j = -c + 3*c. Calculate the remainder when (c - 0) + (-6)\/(-2) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 751259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -5\/81, -0.08, 0.016?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.27 in 0.5, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 g when four letters picked without replacement from lggggl?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -0.195.\nAnswer: 0.0195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 3) to base 15\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqgg when four letters picked without replacement from {s: 4, q: 5, v: 1, g: 3}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -7 + 24 - 10 - 9 + 29*r**2 + 3*r - 15*r**2 - 13*r**2. Let m = -4 + 6. Let f(d) = -3*d**2 - 7*d + 5. What is m*f(v) + 5*g(v)?\nAnswer: -v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -29, -1.3, -101?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -64 + 181. Suppose 8*z = 11*z - l. Suppose 5*u + z = 14. Sort 7, u, 5, 4.\nAnswer: u, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4164947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 2*p - p**2 + (-4 - 2 + 4)*(7*p**2 - 2*p**2 - 3*p**2))*(-40 - 25*p**2 + 27*p**2 + 20 + (-6*p + 5*p - 10*p)*(0 + 0 + p)).\nAnswer: 45*p**4 + 100*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 378352?\nAnswer: 2, 13, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2259769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*w = -172, 5*p - 4*w = -w + 895. Suppose 2*g + f = 3*f + 178, -2*g = -4*f - p. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5*u + u**3 - 7 + 4*u - 2*u**3 + 2*u**2 + 4*u**2. Let t be d(7). What is the second derivative of 10*k**4 + 5*k + t*k - 3*k**4 wrt k?\nAnswer: 84*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 20 + 34069*v**3 - 34063*v**3.\nAnswer: 6*v**3 - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 8*s - 9. Let r be p(5). Suppose i - r = y, 3*i + 0*y - 88 = 2*y. What is the highest common divisor of i and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 10*y**2 + 2. Let p be 3\/((-15)\/(-20))*(5 - 2). Let r(d) = p*d + 5*d - 15*d - d. What is k(r(t))?\nAnswer: 20*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 203479.364763 - 215907.10471. Let p = -12415.94 - i. Let n = 11.8 - p. Round n to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1062409, 1062410, 1062413, 1062418, 1062425, 1062434?\n\"Answer: j**2 - 2*j + 1062410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-334)\/(-10) - (-5)\/(100\/12). Suppose -22 = -3*g + 3*d - 4*d, -3*d = 5*g - k. Calculate the remainder when 27 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 + -2890525753?\nAnswer: -2890525752.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from bffg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(-2\/5))*l**(-7))\/(((l*l**2*l)\/l)\/l**4) assuming l is positive.\nAnswer: l**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 20*r - 60. Give g(18).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*a - 15 = -48*a. Let z be ((244\/a)\/(-4))\/((-3)\/9). Is -63 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - -1 - (2100\/(-245))\/30. Which is the nearest to q? (a) -0.06 (b) 0.6 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4549612 or 4549616?\nAnswer: 4549612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h**3 - 24*h**2 - 5*h + 23. What is m(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.527 + 10.5. Let i = h - -75.027. Let f = i + -78. Sort 1\/2, 3, 0, f in decreasing order.\nAnswer: 3, 1\/2, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -1. Is (153\/(-12))\/((-1)\/b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -45376 - -1034?\nAnswer: -44342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**3 - m**3 - m**3 + (-m**2 + m**2 - 3*m**2)*(11*m + 48*m + 4*m) to the form l*m**2 + u*m + o + j*m**3 and give j.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1483210 by -15.\nAnswer: 296642\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 17*y**2 + 2*y - 24. Suppose -30 = -2*j + 4. Let i be g(j). Let z = -7 + 7. Solve 0*x - 2*x + i = z, -2*s - 24 = -4*x for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6a + -1320?\nAnswer: -138a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54 - -4. Let r = o + 83. List the prime factors of r.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**8\/f)\/f)**(-3)*((f\/(f*f**(-17)))\/f)\/(((f\/(f\/(f**14*f)*f))\/f)\/f))**(-1\/11) assuming f is positive.\nAnswer: f**(14\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*q - 13. Let d(h) = -h + 4. List the prime factors of d(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54 by 388.\nAnswer: -27\/194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + n**2 + n + 8. Let h(y) = -4*y. Let m(o) = -5*o + 1. Let z(q) = -4*h(q) + 3*m(q). Let t be z(2). Let b be 3\/(-45)*-3 - t\/25. Determine w(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 divided by -2.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*h + 9. Suppose d = 3*n - 48, 18 = 3*n - h*d - 30. Let a be 9\/(36\/n) + -2. Solve -4*l - 10 = -3*g + 1, 0 = -5*l - a*g + 15 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, y: 1}. Give prob of sequence bb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and (8 - 7) + (37 - (-3 - -4)).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300559241?\nAnswer: 300559241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.02 (b) -3\/4 (c) -1\/4 (d) -60 (e) -8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48\/743 - -983\/3715. What is the biggest value in -120, t, 2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2)*o\/(o*o**(-2))*o*(o**0*o)**4*((o*o*o**(1\/6)*o)\/(o*o**(2\/17)*o))**49 assuming o is positive.\nAnswer: o**(5753\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 1268?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -8*m**2 - 104*m - 31. Determine g(-13).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -51. Let d = s + -27. Solve -2*g = -r + 2, -d*g - r - r - 4 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26031380?\nAnswer: 2, 5, 109, 11941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -2\/9 (c) 0.39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2896740 by -4.\nAnswer: -724185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 8 = 7*i, 0 = -10*i - 3*q - 843 + 831 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 13*n**2 - 31*n - 71. Let f be c(-16). What is the greatest common factor of f and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10671, -42933, -96759, -172161, -269151?\nAnswer: -387741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 3:42 AM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -a - 590. Suppose 2*v + 3*v + a = s, v - s = -26. Let o = -16 - v. Calculate the remainder when 13 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1650 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 9*u**2 + 8*u. Let b be o(8). Let w(t) = t**3 + t - 6. Determine w(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*y - 32083 = -689156 + 92564. What are the prime factors of y?\nAnswer: 11, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9124111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1138\/7 + -163. Which is the nearest to 0? (a) -51 (b) -5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -29 + 49 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -76 + 94. Let v be (-31)\/3 - ((-96)\/n)\/4. Let h(r) = r - 4. Give h(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -87*n**2\/2 - 1578*n + 1753. Differentiate j(p) wrt p.\nAnswer: -87","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 11, t: 3}. What is prob of picking 4 r?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 21*j**2 + 1. Let b be c(1). Let w be (-3)\/b*(-2)\/6. Let y = -25\/66 + w. Which is smaller: y or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*l = -70*l + 168 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*b - 2*g + 28, -b - 4*g + 31 = 0 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 609553475?\nAnswer: 5, 23, 46091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -83027 (base 13) to base 4\nAnswer: -321121220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2005 + -1414. What is the remainder when (-6)\/45 + 3\/(135\/h) is divided by 4\/6 + 13\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 749, -19, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -497 = -d + 3*l, -d + 6*d - 2557 = -3*l. Let n = 511 - d. Solve -9 = 3*u - 5*r + 19, 0 = -5*u - n*r + 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, -6\/60901, -2, 3?\nAnswer: -6\/60901","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 9 (b) -1\/1307 (c) -1\/3 (d) 5 (e) -2 (f) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**2*y**2 + 69*m**2*y + 512*y**3 wrt y.\nAnswer: -2*m**2 + 3072*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -10*z**2 - 13*z - 25. Let x be j(-6). Let w = x - -332. Is w a multiple of 25?\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 {p: 9, m: 2, e: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1515 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 223 and 13203607?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 - -5755\nAnswer: 5754.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -596.026254 + 288.02594. Let j = m - -308. What is j rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 232 - -62915b?\nAnswer: 629391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - 15. Let r(q) = -q**3 + 8*q**2 - 7*q + 2. Let d be r(7). Which is the third biggest value? (a) o (b) d (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23062127 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63 + 35)*(-1)\/(7\/3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-15\/4))**41\/(m**16)**(-2\/53) assuming m is positive.\nAnswer: m**(-23775\/212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 16*x**2 + 12*x - 159. What is the lowest common multiple of 112 and l(-18)?\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 21*r + 69. Let i be t(3). Let a be 2\/i - 120\/(-72). Let q(g) = -19*g. Calculate q(a).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssssswcsskcsss. Give prob of sequence cc.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 202 = -15*m. Let k(g) be the second derivative of -g**4\/12 + 7*g**3\/3 - 5*g**2 - g. What is the units digit of k(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 5488781?\nAnswer: -2\/5488781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a litre in millilitres?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/42 and 2\/(-48)*7442\/(-122).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 99\/(-1287) + (1\/26)\/(8\/(-1024))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-30)*h)\/h*h)\/h)\/h**35*(h**(-14\/3)\/h)**(5\/14) assuming h is positive.\nAnswer: h**(-2815\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 4*m**5\/3 - 52*m**4 + 132*m**3 + 12364*m**2\/3 + 7632*m + 3696 = 0.\nAnswer: -6, -1, 14, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92784 is divided by 92767.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/42 - 7\/(-3). Suppose -n*l = 1 - 5. Suppose l*a - 4*a = -14. Calculate the smallest common multiple of a and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 105 + -43. What are the prime factors of m?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5717.811 millimeters?\nAnswer: 5.717811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 900731.\nAnswer: 13, 193, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -13, -14, -13, -10, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 13*g + 42. Let a(i) = 2*i + 22. Let c(x) = 2*a(x) - v(x). Let r(m) = -19*m + 4. Determine 7*c(f) - 4*r(f).\nAnswer: 13*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*i**4 - 23*i**4 - 21*i**4 + (1 - i - 1)*(-5*i**2 - 1 + 1)*(4*i + i + i - i - 2*i + i + (3 - 1 + 0)*(-3*i - 3*i + 4*i) + 2*i + 2*i - 3*i).\nAnswer: -28*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-10) - (-24)\/(-15). Let d be -3*(12\/9)\/y. Let l(q) = d*q + 2*q - 3*q + q**2 + 3 - 5. Give l(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c - 37. Let q(w) = -7*w**2. Give z(q(j)).\nAnswer: -7*j**2 - 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5 = 7. Calculate the remainder when ((-2)\/(-4))\/((-1)\/2) + 10 is divided by (9\/(-12))\/(3\/r).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7, 1, 11, 43, 103, 197, 331?\n\"Answer: b**3 + 2*b**2 - 19*b + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25018041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 138 + -143. Which is the biggest value? (a) f (b) 22 (c) -10\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*v**2 + 27*v**2 + 25*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/10 and 7\/22550.\nAnswer: 22550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**2*d*u - 2340072*b**2*u**2 + 38048*b**2*u + 2*b*d*u**2 - 11*b*d - 61*b + 19*d*u**2 - u wrt u?\nAnswer: -4680144*b**2 + 4*b*d + 38*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -11065 to the nearest 100.\nAnswer: -11100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -912, -2\/7, 5193, 4?\nAnswer: -912","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 74634 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l + 13. Let b(i) = -2*i + 25. Let k(j) = -3*b(j) + 7*m(j). Let z be k(-18). Let n = -24 + z. Solve r = 3*q, -q - r - 2*r = n for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t**(-2)*t)\/t))**(-17))**(10\/11)\/((t**(2\/5)\/t**(3\/7))\/(t\/((t*((t*t\/(t\/t**(-1)))\/t)\/t)\/t))**5) assuming t is positive.\nAnswer: t**(-12064\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -666*o - 320 = -671*o. Suppose 3*s - 5*j - 148 = 0, -s = -0*j - 5*j - 36. Calculate the highest common factor of s and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 85, 191, 339, 529, 761, 1035?\nAnswer: 1351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 145 = -3*k, -5*k + 562*z = 567*z - 155 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-33565)\/(-147))\/(-137))\/((-10)\/(-36))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -4 (b) -1\/4 (c) 2\/99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -3. Let j(r) = -r**2 - 4*r - 2. Let m be j(d). Which is the third smallest value? (a) -5 (b) 3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000742 to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11162 - 8007. Does 196 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b**2 + 4*b**2 - 5*b**2.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*k**4 - 2*k**4 - 24*k**4 - 2*k**4 + 0*k**4 + 4*k**4 + (-2*k**3 + 6*k**3 - 2*k**3)*(-k - 2*k + k) - k**4 + 2*k**2 - 2*k**2.\nAnswer: -16*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 108956827, 217913652, 326870477, 435827302, 544784127?\n\"Answer: 108956825*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 4*n**3 + 2166460*n**2 + 293367388512*n + 5573198317104 = 0.\nAnswer: -270798, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253759362?\nAnswer: 2, 3, 42293227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.192 and -2?\nAnswer: -4.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -17. Suppose -m = -s*r + 10, r - 5*r - 62 = 2*m. Let x = m - -29. Solve 2 = -5*w + x*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101012 - -10?\nAnswer: -101002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -4*x. Suppose -5*h = 5*t - 50, 0*h = -5*t - 3*h + 42. Let k(y) = 6*y**2 + 7. Let a(r) = 5*r**2 + 6. Let s(j) = t*k(j) - 7*a(j). Determine m(s(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 76 and 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12257*y + 12267*y = 60970. Round y to the nearest one hundred.\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 693\/(-147)*(-21)\/33.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 20 = f. Let t = f - 3. Suppose 3*k + 2*m - 12172 = -770, -5*m - 7595 = -t*k. What is k rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1021*k**3 + 28 - 28 + 1017*k**3.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*x - 287 = -3*m, -1084 = -4*x + 4*m. Calculate the greatest common factor of x and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18847288, 37694582, 56541880, 75389182, 94236488, 113083798, 131931112?\n\"Answer: 2*c**2 + 18847288*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = -7*f - 18. Let k = f - 5. Let j(n) = n - 2. Let u(z) = -z + 1. What is k*j(q) + 7*u(q)?\nAnswer: -3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -221100122?\nAnswer: -221100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3181.\nAnswer: 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k**2 + 21*k + 8. Let v(t) = 3 - 2*t - 7 + 11*t + 2*t. Let g be v(1). What is the least common multiple of 38 and a(g)?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 8*k**2 + 8 - 5*k - 6*k**2 - 3*k**2. Let z be p(-6). Solve 4*x + 4*y = 0, z*y - 3 = -x - 7 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1100 and 20.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8734.3 and 4.\nAnswer: -34937.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2296498762 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 5*h - 2*v + 24 = 0, -3*h - 12*v = -108. Let c = -1208\/9 + 134. What is the third biggest value in c, -3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**3 - 40226*y + 40226*y.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3)*r)\/r*r\/r**(-3)*(r**0)**30*(r**(2\/3)\/r)**(-2)*((r**(-2\/5)\/r)\/r*r)\/(r*r**(2\/13)*r) assuming r is positive.\nAnswer: r**(-368\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 53771968 rounded to the nearest ten thousand?\nAnswer: 53770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*s - 2*h + 25158 = -68*s, -s + h = -6282. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*p**4*x + 8*p**4 - 2*p**2*x - p*x + 4*p wrt p.\nAnswer: -264*p*x + 192*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 20147, 40347, 60647, 81095, 101739, 122627, 143807, 165327?\n\"Answer: 8*z**3 + 2*z**2 + 20138*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 135*z**2 + 5*z**2 - 122*z**2 - 3*z**2. Let d(f) = -6*f - 2. Determine y(d(w)).\nAnswer: 540*w**2 + 360*w + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0 - 21 + 9 = 0. What is the third biggest value in -1\/16, i, 0.1, 2, 3\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 13*b**2 - 16*b + 25. What is u(14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*m = 114*m - 34 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = i - 4*w, -i - 7 = -5*w - 0. Suppose 3*q - 4*q = -i. Does 13 divide (-2)\/3 - (-287)\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -241326 divided by -26814?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 3. Let x(c) = 2*c**2. What is x(s(u))?\nAnswer: 2*u**4 + 12*u**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j**3 - 815*j**2 - 567*j - 6767. Give k(-271).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1052152413 a multiple of 1064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44112 = 53*s - 53885. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.3291858 years?\nAnswer: 3.9502296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -7\/125060?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, 6, 66, 158?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (14 + -7 - 13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2007*g. Let k(z) = 3*z + 76. Determine l(k(x)).\nAnswer: 6021*x + 152532","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0559322 - -6.1561462. Let u = -6.1 + h. Round u to five decimal places.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and ((-10)\/(-25))\/(-7 - (-10406)\/1485).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s*v**3 + 3*s*v**2 + s - 4122429*v**3 + 2*v**2 + 14*v - 1306 wrt v?\nAnswer: 12*s - 24734574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16.92 + 39.12. What is the biggest value in -0.2, s, -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106110 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 191250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 32. Differentiate -f + 33 - 8*s - 13 with respect to s.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 5*r = 51. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = -3*u - 210. Let y be 9\/u - (-17)\/119. What is the closest to -0.1 in -0.32, -2, y?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 8:55 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 5*i - 30, -3*i - 2*t = -0*t - 23. Let p(b) = b**2 + 25*b + 16. Let v be p(0). Which is smaller: i or v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a millimeter in micrometers?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**5 + 6041775*y**4 + 2433536343375*y**3 + 326730645355433125*y**2.\nAnswer: 5*y**2*(y + 402785)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 42390 = 4*n + 42398, -4*z = 2*n - 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = 26*c - 35*c. Suppose -5*l = 2*k - 28999990, -5*k - 14 = c. What is l rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/182 - 2\/7.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 0.02, -13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52 + 293\/5. What is the common denominator of c and 42?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10744075?\nAnswer: 5, 71, 6053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (6\/14)\/(8\/28)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**(2\/15))*(t**(2\/15)\/t*t*t)\/t*t)\/(t*t*t\/((t**0\/t)\/t)*t*t*t)**13)\/(t\/(t**(2\/7)*t*t)*t**(-4))**(-9\/5) assuming t is positive.\nAnswer: t**(-3938\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-10)\/(400\/(-30)))\/(15\/60))\/(3\/20)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 - -1b?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 7*b**5 + 42*b**4 + 88*b**3 + 78*b**2 + 27*b - 2. Let x(l) = -l**5 - l**4 + l**3 + l**2 - l + 1. Let u(s) = p(s) + 2*x(s). Factor u(m).\nAnswer: 5*m*(m + 1)**3*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57079*g**2 - 57068*g**2 + 114117*g**2.\nAnswer: -30*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 r when two letters picked without replacement from brbrrbqbbsrvkkqr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0087 rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21449?\nAnswer: 89, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36054598?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j - 10. Let r be f(-18). Suppose 4*m - 8 - r = 0. Suppose -2*n + 4*v + 252 = 0, -5*v = m*n - 0*v - 465. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/3 + 2039354*d\/3 - 4078700\/3.\nAnswer: -2*(d - 1019675)*(d - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 214 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1442722 is divided by 14427?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9 * -152.443\nAnswer: -1371.987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 466308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 116282?\nAnswer: -116283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*s**2 + 13*s**2 + 7*s**2 + 47*s as u*s + h + y*s**2 and give u.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27 (base 13) to base 6.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-32)\/(-48))\/(2\/2721) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 68*l = 131, 27*d - 17 = 29*d - 3*l - 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 9 - 6. Let y be (d\/(-2))\/1*16\/6. Suppose 0 = -y*s - 5*s - 9. Let q(g) = 12*g**3 - g**2 - g. Give q(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 a when three letters picked without replacement from {a: 3, o: 1, l: 4}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a - 20. Let u be h(11). Is -1\/4 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2 + 18*j + 18. Let b be t(-8). Is b\/(-4)*(-17849 - (10 + -13)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 + -30?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 22*l**2 + 65*l - 390. Calculate a(5).\nAnswer: 485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 300 and 2460.\nAnswer: 12300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 1, -4*b = 8*t - 6*t - 22. Solve 3*z + b = -0*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4102.6137 + 4103. Round r to two decimal places.\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/2 and 19\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -9*c. Let b(l) be the second derivative of 0*l**2 + 0*l**3 - 1\/12*l**4 + 9*l + 0. Determine b(g(t)).\nAnswer: -81*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/15*15145\/(-26).\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = s - 38 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33014 (base 5) to base 6.\nAnswer: -14243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 76*v - 521125 + 1605796 = 0. Round v to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 6*y**2 - 12*y + 12. Let c be q(8). Suppose -48*f = -c*f - 16. Which is greater: -0.04 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 1. Let u be 65 - -3 - (l - -1). Find the common denominator of (-2)\/(u\/(-146) + 1) and 3\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/92080 and -49\/20?\nAnswer: 92080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s - 11*s = 34*s + 58*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 2:00 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253*x + 495*x - 20*x**2 - 246*x.\nAnswer: -20*x**2 - 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 0)*(-2*q + 0*q - 2*q + (-q + q + 3*q)*(-4 + 0 + 3))*(-3 + 1 + 0) in the form s + b*q and give b.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + -99807374.\nAnswer: -99807373.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ekujejvvevuek. What is prob of sequence kku?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 5*q**3 - 9525*q**2 - 969465*q - 24046015 = 0.\nAnswer: -49, 2003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -3. Let u be 9\/(-6) + 14\/4. Solve 3*y - y**2 + 2*y**d - u*y = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/11930 and 79\/2386.\nAnswer: 11930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3164*i**4 + 762 wrt i?\nAnswer: -12656*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3753 + -2633. Suppose -k = 4*m - 12*m. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5400412182.\nAnswer: 2, 3, 11, 37, 245719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2323 + -1236. Suppose -3*l + 2978 = -t. Does 19 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105282 divided by -10\nAnswer: -52641\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -7.7. Let v = -0.2 - o. Let x be (28\/21)\/(16\/(-36)). Which is the nearest to 5? (a) v (b) 0 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4517884292 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 7*y + 5*s - 56, -52 = -4*y - 4*s. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 4*f + w - 8, -f - 3*w = 6. Is 14 a factor of f + 16 - (-3 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 97 + -44. Suppose -1467 = -s - q. Suppose 0 = 3*p - p - s. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -87*p + 174*p - 84*p - p**2 + 2*p**3 + 7 + 2*p**3 - 2*p**2. What is k(-2)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of l - 3 + 1\/3*l**3 + 0*l**2. Differentiate s(x) wrt x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*p = 38*p + 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10113300001 (base 4) to base 16\nAnswer: 117c01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.59 minus 29192?\nAnswer: -29192.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*n + 611*n + 103*n - 6741. Suppose 5*d - 1107 = 1278. Calculate the greatest common divisor of n and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y + 6 = -42 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*d + 4 = -33*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -k**4\/12 + 25*k + 1. Let y(c) = -c - 4. Give v(y(z)).\nAnswer: -z**2 - 8*z - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 102*h**5 + 3*h**2 - 228*h wrt h.\nAnswer: 2040*h**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -1 - 2\/15*w**3 + 1\/25*w**5 + 0*w - 1\/20*w**4 + 0*w**2. Find v, given that l(v) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 9 + 1)*(m + 3*m - 2*m) - 25 + 25 + m + (3*m - 2*m + 0*m)*(2 - 4 + 1) + 3*m + m - 5*m to c + w*m and give w.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4541 + -4507. Let a(q) = q**2 - q - 10. Let r be a(7). Let v = t - r. Solve g - 2 = v*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71693*z - 35223 = -72290*z for z.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 869782?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 329 or 14334?\nAnswer: 14334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 7 + 3)*(1 + 16 + 0*b - 2*b).\nAnswer: 8*b - 68","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20603*c - 69770 + 69770.\nAnswer: 20603*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -a - 0. Let m be (-2)\/a + 6\/(-28). Factor 0*t**2 - 2\/7*t + m*t**3 + 0.\nAnswer: 2*t*(t - 1)*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43268 is divided by 21571?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.22? (a) -1\/4 (b) 20\/7 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**6\/p*p)\/((p**(-4\/3)*p*p)\/p)*(((p**(1\/3)*p)\/p*p)\/p*p)**15 assuming p is positive.\nAnswer: p**(79\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4\/7 + 57*y**3\/7 - 54*y**2 - 432*y\/7.\nAnswer: 3*y*(y - 6)*(y + 1)*(y + 24)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -1\/24*f**4 + 0*f**3 + 5*f**2 + 0 + 0*f. Let z(v) be the third derivative of -v**5\/30 + v**2. Give y(z(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -34*l - 31*l + 68*l. Give n(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -60d + 0?\nAnswer: -60d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1358662*t + 1358711*t = 147, -5*x + t = 6*t + 25 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 38629, 38632, 38633, 38632?\n\"Answer: -z**2 + 6*z + 38624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -1. Let j = -1 + 2. Let y = -5 + j. Put y, u, 1\/5 in increasing order.\nAnswer: y, u, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 560 and 504?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -12. Let l = q - 9. Is 1 smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v - 10. Let y be x(-12). Solve y*s + 8 = -0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.95 + -3.94494. What is m rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 2*l + 1 = 0, 58*l - 8 = 2*c + 55*l for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66555 is divided by 3502.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + r + 24 = 4*b, 2 = -5*b - 3*r. Solve w + 4 = b*j, -9 = -j - 2*w - 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 15. Let d(s) = -1000000*s. Let b be d(l). What is b rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17 - 20 - (4 + -10)) + 13\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 28\/21 + 5\/2*(-164)\/246. Let s be 2\/8*16\/(-6). Do t and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*r + 10 + 16, -r + 2*l + 13 = 0. What is the greatest common factor of 91 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/559306 and -22\/3.\nAnswer: 1677918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + p - 9 = 0, -5*p = r + 188 - 213 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 7. Let p be g + 12\/(5 + -9). Solve -5*t = -4*y + 7, -t - p*t - 8 = -4*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29298173760108337\/15389150225779200 + 102\/30827624651. Let d be (15\/5250)\/(3072\/28). Let a = d - o. Calculate the common denominator of 101\/16 and a.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 5*z + 15, 3*z - 5*t = 2*z + 21 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {i: 4, a: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32441*i**2*r**4 + i**2*r**3 - 42*i**2*r + i**2 - 18*i - 2*r wrt r.\nAnswer: -389292*i**2*r**2 + 6*i**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2896 and 60?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x**2 - 3. Let a(j) = -j**2 + 1. Let l(o) = 3*a(o) + d(o). Let v(b) = 42*b**2. Calculate l(v(g)).\nAnswer: 3528*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 2932.\nAnswer: 14660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -g**4\/6 + 1546*g**3\/3 - 597529*g**2 + 923779834*g\/3 - 7266. Factor d(v).\nAnswer: -2*(v - 773)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2162, -2710, -3258, -3806, -4354, -4902?\n\"Answer: -548*x - 1614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2d9 + 170b?\nAnswer: 1a06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -92 and 0.01703?\nAnswer: -1.56676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10789 - -28446. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -1) + (-2 - -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7965229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/8*(-6461)\/(-1491)*(-2)\/(-26)?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t - 11*t + 512 = 0. Solve 0 = -4*y + 4*x + 16, 4*x = -3*y - 7 - t for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 3*a**2 + 1195*a + 2382. Give o(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11136 and 12093.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1764 - -1111. Let u = 4577\/7 + j. Let 2\/7 - 8\/7*f + u*f**2 = 0. Calculate f.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 98*i - 3*i**2 + 239*i - 117*i + 2*i**2 to the form c*i + l + v*i**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48120349.\nAnswer: 191, 251939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230080058?\nAnswer: 2, 13, 59, 127, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 6*g**2 + 3*g - 6. Let t be l(4). Suppose t = 3*n - 34. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1205000808?\nAnswer: 2, 3, 11, 29, 157393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17766 + 17868. What is the greatest common divisor of o and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/8 + (-2)\/(-8). Let w = 4847 + -4850. Let t = -5.41 + 0.41. What is the nearest to x in -0.5, t, w?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*c**6 - 22*c**4 + c + 22*c**4 - 222*c**2 - 375*c**6 wrt c.\nAnswer: -43320*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.799 - 1231.799. Let n = o - -290. Let v = -897.7 - n. Round v to 0 decimal places.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 9*c**2 - 11*c - 4. Give k(10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 0*a - p + 4, 2*a + 3*p = 12. Suppose -6*n + 5*n + 13 = a. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1434036 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24199 + -24196. Solve -n*x - 4 - 4 = -y, -4*y = -8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ogoooggwgoowwgwoo. Give prob of picking 2 g.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13871 and 259552891.\nAnswer: 1261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3961.\nAnswer: 17, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/24 and -89\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 5:10 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 10\/((-80)\/(-52))*-2*(-2)\/(-2)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1546*0.5\nAnswer: -773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 18*z**2 - 145*z + 17. Let q be k(8). Let t = 39 - 28. Solve -q*m - 2 = -t*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.0385844l?\nAnswer: 38.5844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 935 rounded to the nearest ten?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*x + 140236 = 0, 4*x + 219361 = 5*o - 14370. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 3 - 4) + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 182, 184, 186, 188, 190, 192?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2, -17, -50, -107, -194, -317?\n\"Answer: -o**3 - 3*o**2 + o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, e: 2, i: 1, d: 4, f: 1}. Give prob of picking 1 a and 2 e.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2 + 28*p - 2. Calculate the smallest common multiple of 24 and y(13).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1305836?\nAnswer: 2, 7, 149, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 1\/(-3))\/2*0. Suppose -5*d = a, -3*t + 360 = 2*t - 3*d. What is the remainder when t is divided by 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*i - 45*i = -18. Suppose -r - 5*t = 0, -3*r = 4*t - i*t - 14. Solve 4*a + 3*k + 19 + 8 = 0, 0 = -3*a - r*k - 34 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -1, 15, 43, 83, 135?\nAnswer: 199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -409*r - 3. Let f(x) = -2046*x - 14. What is -6*f(h) + 28*l(h)?\nAnswer: 824*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12100110 (base 3) to base 6.\nAnswer: 30020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - w + 7 = 0, 19*w + 9 = -4*t + 20*w for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 7*l**2 + l. Suppose 4*c + 3 + 1 = 0. Let z be q(c). Solve -3*u - 6*o + o = 24, -3*u = -o + z for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20003721487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3. Give k(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 - -4a0739?\nAnswer: 4a074c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1\/2 (b) -2 (c) -8\/7 (d) -3\/7 (e) -1.6 (f) -1895\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five eighths of a litre?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2. Let w(f) be the first derivative of 0*f - 21\/2*f**2 - 2\/3*f**3 + 105. Give w(s(k)).\nAnswer: -8*k**4 - 42*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1380438 and 345348.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 - -0.5. Let k = -13\/2 + 4. Let n = 0.7 - 0.2. Sort k, f, n in ascending order.\nAnswer: k, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13263052 <= 13263061?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*v - 15705 = 193*v + 246*v - 2995 for v.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 342564 and 29856?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 888 - 889. Let g be -102 + -1*(m + 3 - 0). Are g and -104 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, s: 2, o: 4, c: 1, e: 1}. What is prob of picking 1 c, 1 o, and 1 w?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t + 7*t + 5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -8.33 (c) -0.2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of j**5\/10 - 8*j**4\/3 - j**3\/6 - 9*j**2\/2 + 5*j. What is the second derivative of q(h) wrt h?\nAnswer: 12*h - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 3*d - 3671, -3*c + 10*d - 5*d = -2223. Calculate the lowest common multiple of c and 8.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*z = -2103, n = -2*n - 2*z + 1572. Suppose 798 = 11*b - n. Calculate the highest common divisor of b and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -21 + 211. Suppose -2*w + 0*w = -x. Calculate the remainder when w is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 925216?\nAnswer: 2, 29, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-2 + sqrt(19) + sqrt(57)\/sqrt(3) - ((1 + sqrt(475) - sqrt(475)) + sqrt(19) + sqrt(19)) - (-4 + (sqrt(475) + -3 - sqrt(475)))))**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 7:12 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18 times 2?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/12 and -21\/227240?\nAnswer: 681720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/23)\/(m*m**(-10)))\/(m\/(m*m**(2\/3)))**(16\/5) assuming m is positive.\nAnswer: m**(3871\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*i + 103*i - 3*z = -43, -2*i + 2*z = -4 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3166 - 9474 + 3137 + 3171 + 4421*y**3.\nAnswer: 4421*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12, 31, 70, 135, 232?\n\"Answer: c**3 + 4*c**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7108 and 170910083?\nAnswer: 1777","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 92a (base 14) to base 7\nAnswer: 5153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2002122 (base 3) to base 7.\nAnswer: -4313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + o + 42 = 0. Let w = -13 - o. Suppose -w = -3*n + 5*f - f, -2*f + 22 = 5*n. Solve 5*u = -3*r + 3*u + 20, 4*r = 5*u - n for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2344 = 5*t + 3*k - 3267, -1115 = -t + 3*k. Calculate the highest common factor of 19 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-3) - 78\/(-18). Let r be 10\/v + 2\/(-4). Suppose -5*h - 2*n + 14 = 0, 13 = -h + 2*h - 3*n. Solve 6*c = 3*p + r*c - 19, 2*p - 18 = h*c for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10274.\nAnswer: 2, 11, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 28.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1264.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 34 = -21. Suppose -10*h = h - j. Solve -4*b = h*k - 19, 4*b + 0*b = 5*k - 11 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) -0.2 (b) 3301 (c) 5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -877*v. Let n(i) = 14*i**2. Calculate n(q(d)).\nAnswer: 10767806*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 397 - 394. Solve -5*t = -k*t + 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q**3 - 3*q**2 + 4. Let h be p(-5). Suppose 5*c = 2*y + 7, -2*c + 7 = y - c. Suppose -y*f + f = -h. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**2. Let b(v) = 290 - 99 + 5*v - 101 - 95. Determine y(b(m)).\nAnswer: -50*m**2 + 100*m - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69 - -121. List the prime factors of q.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -204*x**3\/5 + 15*x**2 - 8*x\/5 - 2139. Suppose s(t) = 0. What is t?\nAnswer: 4\/51, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24.69 and 3.97988.\nAnswer: -98.2632372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tu when two letters picked without replacement from {u: 2, n: 4, t: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a - 88 = 11*a. Suppose 0*c - 10 = -c. Suppose -a*g - c = -10*g. Solve -r - 5*y - 30 = 0, -g*y = 4*r - 5*r + 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 178?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160444859.\nAnswer: 1931, 83089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1659982 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-8) - (75 - 76). Let g be (-2)\/(-3) + (-48)\/(-36). Factor 1\/4*s**g + w*s - 1\/8*s**3 + 0.\nAnswer: -s*(s - 3)*(s + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, k: 2, e: 4, l: 7}. Give prob of picking 2 e and 1 k.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 224.98 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*m + 62*m + 5*c + 7 = 0, 0 = -m + c + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*d + 19. Differentiate -10*u + 21 + 7 - d*u + 2*u wrt u.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 9, i: 2}. Give prob of sequence viv.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.35 - 0.3. Let s = z - 3.05. Let n = 37 + -36.9. What is the smallest value in n, s, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/(-2))\/(9\/(-5)))\/(400\/(-6240)*897).\nAnswer: 2\/207","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y - 43. Suppose -21*d - 57 = 11 + 100. Determine m(d).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -0.1, 5, -0.3 in increasing order.\nAnswer: -4, -3, -0.3, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53693806 is divided by 2352.\nAnswer: 2350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0101 - -0.0101. Let v = -7 + 13. Let f = -4 + v. Which is the third biggest value? (a) f (b) q (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rmmmgmmgvvmvgrggr.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.33 + -0.12. Let l = 0.75 + m. What is the closest to l in 0.3, -1\/5, -3\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 455 - 466. Is h >= 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 371124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**2\/2 + 79254*n - 158505\/2 = 0. Calculate n.\nAnswer: 1, 52835","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394979 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 10:10 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -1501*z**2 - 4*z - 4. Let n = 16 + -18. Let k be j(n). Round k to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, t: 1, l: 1, k: 1, s: 3}. Give prob of picking 1 l and 1 k.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 14*l**3 - 9*l**3 - 3*l**3 - 4*l - l - 4*l**3 - 4*l**4 as a*l**4 + y + k*l + n*l**3 + u*l**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 9*a. Let u(c) = 91*c. Determine u(h(f)).\nAnswer: 819*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -26, -30, -34, -38?\n\"Answer: -4*y - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -502\/795 - -14\/15. Which is bigger: m or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*d + 137 - 41. Let q(g) = -25*g + 2. Let p be q(-3). Suppose 79 = 4*s - 3*b, d*s = 2*b + 1 + p. Is s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-6) + (-3 - (-33)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205 = -5*k - 5*o, 137 = -0*k - 4*k + 5*o. Let j(g) = g**3 + 3*g**2 - 3*g + 3. Calculate the least common multiple of j(-3) and (1 + k\/10)*-5.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3754590 divided by -57.\nAnswer: -65870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(-1 + 4)\/3. Find the third derivative of -r**6 - f*r**2 - 2*r + 4*r - 2*r wrt r.\nAnswer: -120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 4 + q**3)*(-1 - 2 - 2) + 1 - 1 - 5*q**3)*(0 + 6 - 5 - 30*q).\nAnswer: 300*q**4 - 10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(684) + 0 + sqrt(19)*4.\nAnswer: -26*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1710000 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 32647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -189 or 1?\nAnswer: -189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = -2*b - 3*b. Suppose i - 106 + b = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -70467, -70468, -70469, -70470?\n\"Answer: -v - 70466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -80*r + 77*r - 4*i, 4*i + 20 = 0. Let k be (1 - -2 - 1)*2. Suppose r = -4*w + k. What is the closest to 3\/5 in 2\/21, w, -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by -64608?\nAnswer: -3\/10768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/(-11) - 10\/55. Let h be 25\/(-10)*(0 + u). Sort 0, 3\/2, h in descending order.\nAnswer: 3\/2, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/2 - (-2)\/12. Let j = 0.60813 + -0.20813. Which is the third smallest value? (a) o (b) -2\/47 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18 and 0.4?\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 + 0)*(4*t - 4*t + 4*t) - t + 4 - 4 + 2*t - t - 2*t)*(0*t + t - 2*t) + (-6 + 2 + 3)*(2*t - 2*t**2 - 2*t).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v - 3. Let i be p(7). Let d be (-76)\/(-114) - (-2)\/6. Is i <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-128)\/(-3))\/((-2)\/(-3)*((-72 - 5) + 78)).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*f + 0*f = 1707, -4*a + 1348 = 2*f. Let g = -3 - -7. Suppose 3*w = -4*i + a, -g*i + 3*i + 548 = 5*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 2*y + 8 - 3, 3 = 3*d + 3*y for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -26*b - 64. Let v(f) = 17*f + 43. Let c(r) = -5*u(r) - 8*v(r). Let w be c(-16). What is the greatest common factor of w and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 - 1345*r + 225200. Determine z(358).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3865*r - 8 = 3864*r + 2*f, -5*r - 30 = 4*f for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 567*o**2 - 1695*o + 7005. What is a(-570)?\nAnswer: -1545","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 992 - 1737. Let j = 744.999999203 + f. What is j rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - -146. Suppose 3*q - 145 = 2*t, -121*q - 272 = -126*q - t. What is the highest common divisor of q and p?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2098826 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70 and 3430?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 312 (base 9) in base 7?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 9, s: 2, t: 7, l: 1}. What is prob of sequence ttst?\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 2)\/((-11)\/(-22)). Find the third derivative of -2*a**2 - a**h + 7*a**3 - 3*a**3 - 4*a**3 wrt a.\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 58 = 1708. What are the prime factors of l?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1486042057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 1\/2 (c) 84429 (d) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 251769, 251743, 251715, 251685, 251653?\n\"Answer: -k**2 - 23*k + 251793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -94 + 180. Let i be -2 - 6*19\/2. Let u = i + z. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l - 8. Suppose -2*c - 18 = -4*q, 3*c + 13 = -0*c - q. Let x be m(c). Solve 0 = -x*i + 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -1\/11, 0, -37, 3\/4, -1 in ascending order.\nAnswer: -37, -1, -1\/11, 0, 2\/3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 93, 90, 87, 84?\n\"Answer: -3*x + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 2*x**2 - 6*x - 6. Suppose -3*r = 3, 2*f + 2*r - 2 = -0. Suppose -2*y - 2*t + f = 0, 6*y - 9*y + t = 17. Does 10 divide q(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n - 2*n = 41*n - 624. What is the remainder when 897 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1614 + -1136968.03?\nAnswer: -1138582.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 2*u - u + 172, u + 176 = 5*o. Let k = o - 13. Does 11 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + -4)*(-7)\/2. Suppose c = 3*d - 8. Let i = -903 - -909. Calculate the smallest common multiple of d and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -229 divided by -157.\nAnswer: 229\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-3))\/(52\/12 - 4). Let x be h + 0 - (-1 + -2). Let g(l) = 0*l + 4*l + 0*l**3 - 5 - 5*l**2 + l**3. Determine g(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(19) + sqrt(171) + sqrt(19) + -2 + sqrt(190)\/(sqrt(10)*1) + (-6*2*sqrt(76))\/sqrt(4))*2)**2.\nAnswer: 96*sqrt(19) + 2754","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -64*v + 4912. Let m be c(41). What is the greatest common factor of 176 and m?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 447*y - 1. Let p(m) = 123*m + 4602. What is a(p(u))?\nAnswer: 54981*u + 2057093","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(4 + -2 + sqrt(252) - (2 + sqrt(252) + 3))*-5 + 5)**2.\nAnswer: 7225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -260984 divided by -630\nAnswer: 130492\/315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -543641 (base 8) to base 3.\nAnswer: -100020220022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24415 - 2?\nAnswer: 24413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.14763678 + 0.1476. What is j rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5735 = 4*d + d. Let w be ((-2)\/3)\/(3 + 504721\/(-168273)). Let x = d - w. Is x at least as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 5:51 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/sqrt(72) - (-1 + sqrt(44)) - ((sqrt(539)*3)**2 - (-1*sqrt(11) + 5)).\nAnswer: -4845 - 8*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.3, 1.1, 46.\nAnswer: -4.3, 1.1, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-12)\/45)\/((-22)\/55)*18 and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 19*r - 289. What is b(17)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28482451 to the nearest integer?\nAnswer: 5337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/((-5)\/(-4)))\/(6\/15). Solve -6 - y = 2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -47, 6\/11, 4?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 4. Let k = 81.0214 - 74.0214. Which is the second biggest value? (a) r (b) -0.22 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -446 + 448.71. Let v = z + -2.70811. Round v to four dps.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/56 of a week in seconds?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/3, -1.58, 1, -5.017?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 16*c**2 + 14*c + 14. Let p be l(15). Suppose 15 = 4*f + x, -5*f - 2*x = -13 - 8. Sort f, 0, p in descending order.\nAnswer: f, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -0.1. Let t(d) = -d**2 + 2*d + 3. Let m be t(-2). What is the third biggest value in -4\/7, h, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4636279*j**2 - 31084*j - 14 wrt j?\nAnswer: -9272558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17\/6 + 617\/222. Let j = 154\/111 + a. Factor j + 7\/3*v**2 + 16\/3*v.\nAnswer: (v + 2)*(7*v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140613956 to the power of 1\/3, to the nearest integer?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4*r**2 - 4*r + 15. Let f(q) = 7*q**2 + 7*q - 30. What is 3*f(o) + 5*t(o)?\nAnswer: o**2 + o - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 + 9. Let h = 10 + c. Is 0 - -6 - (0 - h) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -3*p + p. Let w = p + -12. Let o be 68\/7 - (-2)\/7. What is the greatest common factor of o and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8149*v**4 + 3652.\nAnswer: -32596*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 4300.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 6.979. Let y = 0.402 + a. Round y to 2 dps.\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 j when four letters picked without replacement from {j: 12, z: 2, q: 3}?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -163164093 and 0.\nAnswer: -163164093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*j**4 - 23*j**3 + 4034*j + 5 wrt j.\nAnswer: -276*j**2 - 138*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-30)\/3*2\/4. Which is the nearest to 0? (a) 1\/3 (b) t (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and 1.6?\nAnswer: -17.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in 1\/5, 5, 43, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -4*v + 4*y - 3*y, 5*y = -3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - 1.903.\nAnswer: 14.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.07 - 0.08. Let k = -193.8462 + 194. Let a = f + k. Round a to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -195 greater than or equal to 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12235 (base 11) to base 7\nAnswer: 102156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.088*-0.1922.\nAnswer: 0.0169136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -173.1 and 2.3?\nAnswer: 175.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8067 + 8081. What is the remainder when 10849 is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -1094*g**3 + 2*g**2 + 11*g + 23. What is the tens digit of k(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1536530*b**3*t**4 + 6*b**3*t**2 - 2400*b**3*t + 15*b*t**2 - 84*t**5 - 12*t wrt t.\nAnswer: 36876720*b**3*t - 5040*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 221 - 206. Calculate the remainder when 54 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/(k\/k**18*k*k))*k)\/(k*k**(-33)\/k) assuming k is positive.\nAnswer: k**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 103009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/(-10)*(-28)\/441*-3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -45 - 404111?\nAnswer: -404200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -24528 divided by 146?\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 12:27 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -20 (b) 0.3 (c) 1\/4 (d) -5\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2105\/8 smaller than -264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -2. Let s = 0.4 + b. Let m = -1 - s. What is the closest to 1\/4 in 2, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + d - 2*d = 4, 5*f - 4*d + 2 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -f**4\/8 - 9*f**2 + 73. Let t(c) be the second derivative of l(c). Let d(x) = -25*x. What is d(t(z))?\nAnswer: 75*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s. Let w(f) = -61*f**2 + 6. Let k(c) = -41*c**2 + 4. Let h(j) = -8*k(j) + 5*w(j). Calculate i(h(a)).\nAnswer: -92*a**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/139568 - 9281229\/6001424. Let s = 2\/43 + d. Let x be (-6)\/(-21) - (-46)\/(-14). Which is bigger: s or x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 479*k - 278*k = -1206 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*p - 14 - 57 + 46 to the form g*p + x and give x.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51 - -53. Suppose a*d - 3394 = -2*f - 90, -d = 5*f - 8256. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 29 = -4*c, 63 = 3*n + c + 54. Solve 29*w = 4*z + 31*w, 4*z - n*w = 28 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -37*d + 3*d**2 + 3 + 40*d + 1 - 1. Let i(m) = -m**2 - 5*m + 4. Let p be i(-6). Calculate k(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttsstststtsss. What is prob of picking 1 t and 1 s?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z + 5*z - 3*z + (6 + 4 - 2)*(3*z + 0*z - z) in the form f*z + o and give f.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (((-45)\/(-306))\/(-5))\/(2\/4)*-7\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.4324 - -0.4907. What is v rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 1:15 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-15) + 34\/10. Let i(n) = n**3 + 9*n**2 - 32*n + 15. Calculate the remainder when i(4) is divided by (132\/(-12))\/((-1)\/q).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -98.5637941 to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - k + 8. Let r be v(0). Let n(l) = 2*l - l - r*l + 8*l. Let c(z) = -35*z. Determine c(n(t)).\nAnswer: -35*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1484 - -1719. What is the least common multiple of z and 7?\nAnswer: 1645","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -6*v. Let s(y) = -1768*y. Give -2*s(g) + 112*w(g).\nAnswer: 2864*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of 0 + 0*n**3 - 3\/20*n**5 + 12*n**2 + 0*n + 0*n**4. Let u(o) = -2*o. Give u(l(b)).\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 436 - 29*r + 949 - 2330 + 945.\nAnswer: -29*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 - (6 + 13) - 22?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 10*u**3 + 10*u**3 + 2*u + u**4 to z*u**4 + s + l*u**2 + i*u + j*u**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -6*c**2 - 31*c - 18. Give q(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 85640.36l?\nAnswer: 85640360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 6*d + 6. Let r be f(5). Suppose -2*l - 32 = -3*v, v - r - 3 = 4*l. Suppose v = -2*q - 0*u - 2*u, -5*u - 25 = 0. Solve -2*h + 6 + 0 = q for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*f*u - 5*f - 388768*u - 91882 wrt u.\nAnswer: 6*f - 388768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40.7 + -42. Which is the second biggest value? (a) -4 (b) n (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 16*j + 23 - 3*j**3 - 8*j + 9*j - 3*j**3 - 14*j**2. Suppose 0 = c - 24 + 7. Let d(i) = 2*i**3 + 5*i**2 - 6*i - 8. Calculate c*d(u) + 6*x(u).\nAnswer: -2*u**3 + u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 7*a**2 - 2*a - 10. Let r be j(5). Let b be ((-23)\/69)\/((-2)\/r). Solve 16 = 2*t + b*l, 5*t - 2*l - 7 - 4 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 8*v - 755. Let s = v + 83. Let o = 69 + s. Put o, 2, -14, -1 in decreasing order.\nAnswer: 2, o, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**5\/9 - 1712*u**4\/9 - 568*u**3\/3 + 5132*u**2\/9 + 1706*u\/9 - 380 = 0. What is u?\nAnswer: -855, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47\/55 + -5\/11. Let p = -128\/245 - -6\/49. Which is the nearest to p? (a) 1\/5 (b) f (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4*z**2 + 13*z + 48. Determine n(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*t + 3*t + 4*b, 5*t - 3*b - 28 = 0. Solve 0 = t*j, j - 10 = -5*d - 2*j for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-10))\/(339\/791)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2. Let l(g) = -2*g + 21. Let r(d) = d. Let y(m) = -l(m) - 3*r(m). Give k(y(n)).\nAnswer: 2*n**2 + 84*n + 882","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*d = 93, -5*n - d + 49 = -3*n. What is the highest common factor of 40 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -210 + 210. Suppose 2*z + 2*z + 2*z = g. Solve z = -3*x + x + 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11, 84, 281, 668, 1311, 2276, 3629?\n\"Answer: 11*v**3 - 4*v**2 + 8*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**2 - 2*p - 3. Let o be h(-2). Let z = 0 + o. Let k(d) = -9*d. Let a be 19\/(-7) - 4\/14. Let y(g) = 4*g. Calculate a*k(c) + z*y(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -9*n. Let j be y(3). Let k = 31 + j. What is the lowest common multiple of 9 and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3161121 and -27?\nAnswer: 85350267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + 23. Let z be (-54)\/(-10) + 4\/(-10)*1. What are the prime factors of (-21)\/u - (-73)\/z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -59060 * 116.\nAnswer: -6850960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-4))\/(6\/24). Let q(l) = -2*l**3 + 6*l - 4. Let x(p) = -p + 1. Suppose -37*g = -49*g - 72. What is g*x(v) + k*q(v)?\nAnswer: 2*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -5*d + 2. Let q be 40\/15 - 1\/d. Is 55\/(-2)*(1 - q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 586 is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39*n**2 + 35*n + 16*n - 9*n**2 wrt n?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g**5 + 10*g**3 - 3*g - 4. Let p(u) = 6*u**5 + u**4 + 11*u**3 + u**2 - 4*u - 5. Let o(t) = 5*c(t) - 4*p(t). Factor o(b).\nAnswer: b*(b - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 297, 283, 267, 249, 229?\n\"Answer: -f**2 - 11*f + 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -10*j**3 + 4*j**2 - 3*j + 10. Let k be 2 + 6\/(-1) - -2. Let x(o) = -3*o**3 + o**2 - o + 3. Let b(q) = k*a(q) + 7*x(q). Give b(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1166 + 851 = -21*u for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-5 + (2*(sqrt(720) + 0 + sqrt(720)) - (-1*sqrt(720) + -5)) + 4)*-5)**2.\nAnswer: 300000*sqrt(5) + 11260000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -159, -123, -97, -87, -99, -139, -213, -327?\n\"Answer: -g**3 + g**2 + 40*g - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40125547*f**3 + 44*f**2 + 2*f - 15294.\nAnswer: -240753282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/40933 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1368\/(-190) + (-2)\/(-10). Let x(m) = m**3 + 6*m**2 - 6*m + 6. Calculate x(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-26)*q*q\/q**20*q*((q*q**(2\/47)\/q)\/q)\/q**(-19) assuming q is positive.\nAnswer: q**(-1126\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b - 99. Let g be n(24). Let d be (-25)\/(-3) + (-48)\/9 + 5. Suppose d = -7*c - 6. Which is greater: g or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5 - -3.5. Let w = 32 - 32. Is r at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -114242*c**2\/5 - 35213304*c\/5 - 2713487112\/5.\nAnswer: -2*(239*c + 36834)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 20*g + 80. Determine z(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*v**2 + 5*v - 5*v + 0*v**2 to h + t*v + q*v**2 and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 10*o - 4. Suppose 5*z - 30 = -10. Suppose -6 = z*g + 18. Let b be h(g). Calculate the greatest common factor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 917 + (-2 - (-9)\/3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*i - 3 - 1, -3*i = 5*h + 3. Suppose -5*j + 5*o = -55, 3*j - 2*o + h*o - 32 = 0. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one eighth of a kilogram?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 211, 423, 637, 853, 1071, 1291, 1513?\n\"Answer: f**2 + 209*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 12) in base 8?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 0.5 (c) 3 (d) 0.094 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 10. Is 96 - 1\/(-2)*v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 1. Let j(n) = 88*n + 22. Let u be j(-1). Let s be (26\/(-91) + u\/14)\/o. Solve s*g = 1 + 9 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 3*g + 2. Let b be d(4). Sort b, 1, -1 in decreasing order.\nAnswer: 1, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -s + 7, -p = -3*s + 5 - 0. Suppose -4*l - s*i + 2*i = 5, i + 5 = l. Is l greater than or equal to -4\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.47 and 2\/15 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68561632.\nAnswer: 2, 2142551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 3909 = 123. What is the remainder when 104 is divided by z\/40 - 3\/(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ennneinne. What is prob of picking 2 e?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3*w - 6 = 0, 2 = -0*a - a - w. Solve -5*p + 20 = -a*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 228, 229, 230?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in six fifths of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100010 (base 2) in base 3?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 5732076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 391 and 4?\nAnswer: 1564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 0.1. Let n = -2850.88 - -2849.88. Which is the nearest to 2\/7? (a) n (b) 2\/5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w - 157*w + 202*w. Let f(z) = 76*z. Give a(f(m)).\nAnswer: 3572*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 51169583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -22 (b) 4 (c) 6 (d) -7\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-154)\/(-28)*(-4)\/2*-1. Suppose -a*f = -17 - 313. Calculate the lowest common multiple of f and 80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18.4? (a) 1 (b) -2\/15 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-36)\/(-3)*(-2)\/(-4). Let i = 4 - a. Is (-90)\/i + 8 + -6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 7\/4, 1, 0 in descending order.\nAnswer: 7\/4, 1, 0, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 2*q**3 + 2)*(-3 + 3 - 1) + 16*q**3 + 4 - 4 + (-2 + 2 + 3*q**2)*(-2*q + q + 2*q) - 6*q**3 + 4*q**3 + 0*q**3)*(1 - 1 + q)*(q - 3*q + q).\nAnswer: -19*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 32?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -77, -233, -535, -1031, -1769?\nAnswer: -2797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4672873*s - 6312026 wrt s?\nAnswer: 4672873","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 489251 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 14.07. Let v = n + -0.09. Let z = 0.28 - v. Which is the biggest value? (a) 5 (b) z (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 487 - 3411\/7. Suppose -58 = -m + 3*m + 4*o, 5*m - o = -101. Let p be 12\/m - -4 - 4. What is the nearest to -1\/2 in p, -1\/3, a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.106 + -0.201. Let i = -0.195 - r. Which is bigger: i or 10\/49?\nAnswer: 10\/49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -0*r - 5. Let v = r + -1. Suppose 0 = k - v. Is k a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 1\/4, -14\/5, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 2*w - 32 = 4*i, -4*w + 27 = 5*i. What is the hundreds digit of 426 + (-63)\/i + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/73 (b) 38\/3 (c) 2\/13 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8192181 is divided by 78.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1045205, -2090452, -3135739, -4181066, -5226433, -6271840?\n\"Answer: -20*z**2 - 1045187*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5739*a + 5701*a + 193306. What are the prime factors of a?\nAnswer: 5087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 25172, 50373, 75598, 100859, 126168, 151537?\n\"Answer: 2*l**3 + 25187*l - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -765 - -34593.\nAnswer: 33828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(162)*2 + sqrt(162)).\nAnswer: 135*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 343990.\nAnswer: -1\/343990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18226 divided by -1373.\nAnswer: -18226\/1373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**5\/3 - 4814*i**4\/3 - 3835108*i**3\/3 - 1012141804*i**2\/3 - 670932510*i - 334828674 = 0.\nAnswer: -873, -659, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001015 rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/39 and -125\/156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (80\/150)\/((-6)\/9). Which is the nearest to 1\/2? (a) 2\/5 (b) -3\/5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5*(sqrt(405) + (sqrt(405) + -1 - sqrt(405))**2).\nAnswer: 7 + 45*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5662\/447)\/((-323)\/(-51)). Let v = 8 - 4. Sort -12, m, v, 1 in decreasing order.\nAnswer: v, m, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 10:46 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2310783766437 - 7.\nAnswer: -2310783766444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 8)*3\/(-6). What is the units digit of 15 - (-2)\/(-2 - y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56\/13 - -1314\/299. Suppose 0 = 3*s + 5*d + 256, 82 = -s - 3*d - 2*d. Let l = s + 86. Is l at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -0.7\nAnswer: 0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -96.42 + -12.145\nAnswer: -108.565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 17*m + 3 + 16*m + 7*m. Is r(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 105?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008827964 rounded to six dps?\nAnswer: -0.000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -696 divided by -2.\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) + ((sqrt(245)*1 - sqrt(245)) + sqrt(245) - sqrt(245)))\/sqrt(7)*2)\/((3*(sqrt(7) - sqrt(63)) - sqrt(7)) + sqrt(7) + 5*sqrt(112)).\nAnswer: sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-18*((-68)\/(-16) + -4))\/(-6)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 23*n**3 - n**2 + 3. Let u be i(2). Let l = -67 + u. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2. Let j(h) be the first derivative of -17*h**5\/120 - 11*h**3\/3 + 2*h - 41. Let d(p) be the third derivative of j(p). What is a(d(q))?\nAnswer: 289*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 576, 1152, 1726, 2298, 2868, 3436?\n\"Answer: -g**2 + 579*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 9*o - 10*o + 18, 3*o = 12 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 + 1029*l**2 - 7332*l + 6300.\nAnswer: 3*(l - 6)*(l - 1)*(l + 350)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281*f - 15950 = 33*f - 326. Solve 22*x = f - 41 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 105031 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 17*o + 29. What is r(-9)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7006430 to the power of 1\/3, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -514186050 divided by 48775.\nAnswer: -10542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k + 7. Let m(n) be the second derivative of -n**4\/2 + 1064*n. Determine m(z(w)).\nAnswer: -24*w**2 - 168*w - 294","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -86987 less than -82160?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3165 - 3165 - 5*n - 3*n**3 + 5*n + 8*n**3.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 40141 (base 6) to base 7\nAnswer: 21202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-2 + (sqrt(1331) - (-2 + sqrt(1331)))*5 + 0 - (3 + 3*sqrt(1331)*3*4)))**2.\nAnswer: -3960*sqrt(11) + 1725001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -7*m**2 - 14*m**2 + 22*m**2. Let i(o) = -8*o. Give t(i(n)).\nAnswer: 64*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/((-174)\/(-1)))\/(642\/856)?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 0 + -9)*(12 + -13). What is the greatest common divisor of 100 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/20 and ((-3542)\/576)\/(-11) + 4\/18.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 24185, 96632, 217341, 386312?\n\"Answer: 24131*m**2 + 54*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1294*w - 123121 + 123121 as j*w + a and give j.\nAnswer: -1294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-2 + 0) - (-10 - -15).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*(-6)\/6)\/(1\/(-1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 983718 divided by 27?\nAnswer: 36434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/180 and -43\/330.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/240*-24)\/11*-7?\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, s: 3, h: 4, k: 3}. What is prob of sequence ss?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**3 + 132*i**4 - 236*i**2 - 2*i - 246*i**4 + 2*i wrt i?\nAnswer: -2736*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5*t**2 - 26*t + 2. Let d(b) = 60*b**2 - 325*b + 25. Let x(a) = -2*d(a) + 25*p(a). Let g(n) = -67*n**2. What is x(g(r))?\nAnswer: 22445*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 43315 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**3 + 2*m**2 + 83*m + 56538. What are the prime factors of q(0)?\nAnswer: 2, 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -211, -419, -627?\nAnswer: -835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 53349824?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 28*o - 120. Let r(i) = 35*i**2. Give r(q(c)).\nAnswer: 27440*c**2 - 235200*c + 504000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -f**5\/60 + 2*f**4\/3 + 82*f**3\/3 - f**2 + 112. Let o be r(23). Solve o*v + 2*k = -1 + 7, -4*v + 3*k = -25 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17139, 16789, 16441, 16095, 15751?\nAnswer: 15409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v. Let n(m) = 23*m**2 + 9*m - 9. Let g(u) = 11*u**2 + 4*u - 4. Let p(i) = -9*g(i) + 4*n(i). Calculate c(p(s)).\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27679*0.986.\nAnswer: -27291.494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.1485 to 1 dp.\nAnswer: 7.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 6*k**3 - 34*k**2 - 396*k + 2315. Calculate a(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*d**2 + 5*d**3 - 122*d**2 + 105*d**2 + 203.\nAnswer: 5*d**3 + 203","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10520655, 10520584, 10520513, 10520442, 10520371, 10520300?\nAnswer: 10520229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of y**4 - 12822866*y**3 + 2*y**2 + 65029409*y?\nAnswer: 12*y**2 - 76937196*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**2 - 2353*v + 7084. Give u(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x**2 + 125*x - 195 = 0. Calculate x.\nAnswer: 3, 13\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*g**4\/7 - 76*g**3\/7 - 520*g**2\/7 - 1488*g\/7 - 1440\/7 = 0. Calculate g.\nAnswer: -6, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -59\/14 and -0.2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of t**5\/12 - 5*t**4\/2 - 3*t**3\/2 + 24*t**2 + 2. What is the lowest common multiple of b(13) and (-34)\/(-4) + (-9)\/18?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 27*a - 27. Let l(x) = -2*x**3 - 35*x**2 - 16*x + 26. Let p be l(-17). What is the units digit of t(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, 0.2, -0.5, -1\/493?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 11*b + 2. Let j be u(-11). Suppose j*w + 0 = 2. Let h(l) = -11001*l**3 + 1. Let a be h(w). Round a to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**2\/l)**(9\/5)*(l**1)**(3\/13))**(-45) assuming l is positive.\nAnswer: l**(-1188\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 76 + -72. Sort 2\/5, l, -21.\nAnswer: -21, 2\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66 - -158. Suppose -32 = 2*v - 4. Find the common denominator of v\/10*u\/14 and -73\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f + 1. Let c(y) = 11*y + 53. Give -c(q) + 4*o(q).\nAnswer: -3*q - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005597 to six dps.\nAnswer: 0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t + 8. Let x = 0 + 6. Let r = -12 + x. What is the smallest common multiple of 4 and f(r)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 53\/15308921?\nAnswer: 53\/15308921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 36*q**3 - 21*q**2 + 21*q. Let l(m) be the second derivative of -9*m**5\/20 + 5*m**4\/12 - 5*m**3\/6 - 20*m - 1. What is 21*l(t) + 5*y(t)?\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 135131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4*n = -56. Suppose n*g + 84 = 5*g. Let j = 33 - g. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 106 + -101. Solve m + 0 = -v for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -130.8? (a) 2 (b) 6\/19 (c) 6 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*b - 91*b + 2312 = 0. Calculate the greatest common factor of 1700 and b.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22942 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 58, 70, 84?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**3 + 3*r. Let s be 12\/36*-5*-3. Let f(k) = 7*k + 1 - 4*k**3 - 1. Give s*p(x) - 2*f(x).\nAnswer: -2*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9387, -18822, -28257, -37692, -47127?\n\"Answer: -9435*s + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.12 and -0.14?\nAnswer: -0.0168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 66 + 54 + (66 - 146)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -925 - -925.00000441. What is p rounded to 7 decimal places?\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eu when two letters picked without replacement from uueuuueueueuuueuuuuu?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -589 + 1089. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 260470 and 1765645?\nAnswer: 2135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11405 - 57026\/5. What is the closest to -3 in c, -6, -4, -2\/21?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29 by -550.\nAnswer: 29\/550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -130, -252, -366, -478, -594, -720?\n\"Answer: -k**3 + 10*k**2 - 145*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/5007 and 13\/4168.\nAnswer: 20869176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 5 - ((-20 - -21) + (-1 - 5))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 7*v**2 - 3*v + 3. Let u be k(3). Suppose u = -2*b + 5*b. Suppose -1 + 13 = 3*z. Solve 2*q + 22 = -z*j, 2*q = -2*j - j - b for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u + 2*u - u)*(77 - 134 - 100)*(2 + 2*u - 2) to k*u**2 + g + o*u and give k.\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3 + 1 = 0. Suppose 2*u - 76 = -c*u. What are the prime factors of u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*j + 88*j + 125*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -27*(9805\/(-848))\/(-37)*2*2\/10?\nAnswer: -27\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83365036.\nAnswer: 2, 20841259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h + h**2 + 4*h + (h - 3*h + 0*h)*(-2*h - h + 4*h) + (h + 0*h - 2*h)*(3 + 5*h - 3).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -1484?\nAnswer: -5\/1484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -124 + -64 + (91 - -29)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108850\/(-1064553)*12\/(-100).\nAnswer: 2\/163","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1349947.8 months?\nAnswer: 112.49565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 5*o + 9 - 1, -6 = -2*d - 2*o for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 695 = 3*k + 2*c, 4*k = -3*c - 934. Let u = -177 - k. What is the smallest common multiple of u and 2?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = y - 143. Is y a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 6*k = 5*k + 7, 2*k - 12 = 3*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -71 + 75. Let v(f) be the second derivative of 0*f**5 + 1\/4*f**3 + 0*f**2 + 0 + 1\/10*f**6 - 1\/4*f**n - 1\/28*f**7 + 4*f. Factor v(m).\nAnswer: -3*m*(m - 1)**3*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.18 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 19*p**2 + 42*p + 27. Does 11 divide m(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(1\/11)*u)\/u)\/u*u**(-1\/4))\/(u**(-2)\/(u\/((u**10\/u*u*u)\/u)*u)) assuming u is positive.\nAnswer: u**(-315\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (154 + (-1871775)\/12154)\/(1\/2).\nAnswer: -1\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 264 + -13.\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-7))\/(((-62)\/527)\/((-168)\/102))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 210, 877, 2006, 3597, 5650, 8165?\nAnswer: 11142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 165*h**2 - 70. What is the tens digit of x(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6 + (-136)\/(-24) - (-33)\/(-9). Let k(m) = -m**2 - m - 1. Determine k(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 13*p + 1. Let q be j(-7). List the prime factors of q\/(-4) - (-6)\/(-12).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*c**3 - 8*c**2 + 15*c**2 + 8*c**3 - 7*c**2.\nAnswer: 23*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 0.5 (b) -3 (c) -10 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -8*h**2. Let f(l) = 69*l + 2. Give f(n(z)).\nAnswer: -552*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + ((0 + sqrt(605))*-5 - sqrt(605)) + sqrt(605) + -2*(-1 + sqrt(605) + -1))*3)**2.\nAnswer: -12474*sqrt(5) + 267534","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 4:57 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*s + 22 = w, -4*s = -3*w + 4. Suppose -2*o - o = -k - 10, -30 = -w*o - 2*k. Solve 26 = o*l + 6 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u = i + 12*u + 21, -i + 19 = -3*u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 9*b + 4. Calculate a(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 93 + 1a?\nAnswer: ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1064 - 2?\nAnswer: 1062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(55))\/sqrt(5) - 2*2*sqrt(11).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 1127*q + 11. Let f be l(4). Suppose f = 24*p + 1375. What is the remainder when p is divided by 49?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 39*r - 1061. What is l(26)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**6\/90 + 7*p**5\/60 - 5*p**4\/12 + 13*p**3\/18 - 2*p**2\/3 + 481*p. Factor c(m).\nAnswer: -(m - 4)*(m - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/10)\/(438\/(-5110))\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -478 + 625. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-57))\/((-2)\/3). Put -1\/2, o, 1\/4 in ascending order.\nAnswer: -1\/2, o, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 138 + -155.6. Let l = x - -18. Suppose -o + 0*o = 0. What is the closest to o in -2\/11, l, 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -27106 and -27107 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 15 = 8*q - h, 2*q - 2*h + 2 = 0. Solve 5*b = t + 10, 3*t + 2*b - 4*b + q = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 859432 + 2398489 + 3887487 = 64*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 147 and 2.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2628 and 330?\nAnswer: 144540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3420 is divided by 569.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-8 - (4 - -10 - 27)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ny when two letters picked without replacement from {d: 10, n: 2, c: 4, y: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-2083 - -2070) + -11 + 1\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 291, 354, 449, 576, 735, 926, 1149?\nAnswer: 1404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 6:13 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -468 + -685. Let z = d + 1152.94569. What is z rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 4*j**2 - 2*j + 6. Suppose d + 3 = -4*h - h, 0 = -4*h - d - 2. Let u be 1\/(1*h\/(-4)). Let y be f(u). Sort 4, y, 5.\nAnswer: y, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 489381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 84323 to the nearest one thousand.\nAnswer: 84000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w = -17*w + 196. Let h = 79 + w. Let f be (-165)\/(-5) + -1 + -2. Calculate the highest common divisor of f and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (34 - 27)*(-48)\/(-21). Solve -22*m + 6*m + a = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -13*l + 7. Let k be b(3). Let x = k - -53. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 113693 and 141.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 5*u**2 - 1174330*u + 3522945 = 0.\nAnswer: 3, 234863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 52, 46?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -6*c**3 + c**2 - c + 3. Let n be i(1). Let m = -11 - n. Solve -4*j + v + v = 6, 3*j + 2*v - m = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -i**2\/2 + 17*i - 5. What is the smallest common multiple of y(9) and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -2, 26, -18\/25?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4*d + 4887 + 2089 = 0, -5*k = 4*d - 8765. What is the highest common factor of k and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -189.96 + 189.95972841. Round h to 5 decimal places.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11101*o**3 - 3712*o**3 - 3682*o**3 - 3714*o**3.\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2450 and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s. Let c(a) be the first derivative of a**2 + 2. What is -4*c(g) - 9*l(g)?\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6\/5 + 9\/5. Sort 3, 0.5, -2\/15, d in decreasing order.\nAnswer: 3, d, 0.5, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -5) + 11 - 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -370 + 373. Suppose 4*l - 9*l + 4*p = 66, -x = 3*p. Put 0, -1, l in descending order.\nAnswer: 0, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g**2 + g**3 - 4*g**3 + 2*g + 5*g**3 + 3 - g**2. Let q be (-14)\/(-4) - (-2)\/(-4). Let h be f(q). Calculate the highest common factor of h and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11848 - 0.112?\nAnswer: 11847.888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v - 9*v - 6*o = -24, 4*v - 4*o + 20 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y**(2\/11)*y)*y**(-22) assuming y is positive.\nAnswer: y**(-244\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.92 + -1.9. Let s = -211 + 207. Put 0.1, a, s in decreasing order.\nAnswer: 0.1, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1648, -1625, -1568, -1459, -1280, -1013?\n\"Answer: 3*i**3 - i**2 + 5*i - 1655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.096 * -0.2.\nAnswer: -0.0192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 2:52 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -4\/15 (b) 1\/4 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -6*g + 2. Let j(p) = 5*p - 2. Let q(f) = 5*j(f) + 4*v(f). Let y be 3\/(60\/16 - 3). Calculate q(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 34 = 2*t, -2*t + 2983 = 3*y + 2981 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 12:30 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28.02 - -28. Let o be (16 + -12)\/(0 - 2). Sort q, o, -3 in ascending order.\nAnswer: -3, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 18*d + 89. Let i be z(-4). Suppose -42 = 4*g - 3*b, 2 = -g - 4*b + i. Sort -1, 6, g.\nAnswer: g, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 31 + 3*n - 82 + 2*n**2 + 28 + 24. Let a(y) = -6*y**2 - 10*y - 4. Give -4*a(v) - 14*s(v).\nAnswer: -4*v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from ntuuttnut.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2732 by -7221.\nAnswer: -2732\/7221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5865541.\nAnswer: 11, 31, 103, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/8)\/(1\/6). Factor 7*z**2 - 14*z**2 + z**i + 8*z**2 - 2*z.\nAnswer: z*(z - 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a = 203*a - 970 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 2*f + 1. Give x(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -2*f - 6. Let c be f + -4 + (8 - 3). Suppose 90*y + 72 = 108*y. Put 3, c, y in decreasing order.\nAnswer: y, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - c + 5. Suppose -3*o - n + 40 = n, -10 = -c*n. Let w = -8 + o. Solve w*v + 15 - 3 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*h = -63, 32 + 2 = 2*p - 3*h. Suppose 5*q + p = 231. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 192 or 967\/5?\nAnswer: 192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-80))\/(((-25)\/88)\/5)\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -2)*(-1 - 0). Let j be (6\/(-9))\/((-6)\/9). Let y = 1 + j. Solve 0 = -y*s + s - 5*o + 21, -5*s - 4*o + 21 = q for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -13*w - 20. Let h be f(7). Let j = 111 + h. Suppose 5*o - 20 = j, -3*p - 2*o - o + 36 = 0. What is the remainder when p is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cwc when three letters picked without replacement from {c: 10, w: 10}.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7\/5*h**3 + 1\/5*h**5 + 4\/5 + 1\/5*h**2 - h**4 - 8\/5*h = 0. What is h?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99174 divided by -8.\nAnswer: 49587\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 5*m - 4. Let t be j(-3). Let f(n) = -n + 20*n**2 + 7*n**2 - 2*n**t - 1 + n**2. Determine f(-1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**3 - 1097371*c**2 = 0.\nAnswer: -1097371, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39059?\nAnswer: 139, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1576*k + 11882 + 2755 - 1697 = 332 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -456281+-0.929\nAnswer: -456281.929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 133 + 221002?\nAnswer: 221201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a0910a (base 12) in base 6?\nAnswer: -501400414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 - 43*u - 63. Let r be t(23). Solve 72*y + r = 75*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 533?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 147.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.019 + 5.019. What is the fourth biggest value in -0.2, r, 13, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + (sqrt(112))**2).\nAnswer: -565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 408\/69) + (-6 - (-520)\/897)?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 2*c**2 - 2*c + 2. Let a be z(-2). Find the common denominator of -31\/2 and 2\/a + (-33)\/(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3771 divided by 9\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5501242?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 16. Let f = -25\/133 - -9\/19. Which is bigger: u or f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 12:19 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000481655 rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*z**4 - 6*z**4 + 3*z**5 + ((-3 + 2*z + 3)*(2*z - 2*z - z**2) - z**3 + 3*z**3 - z**3 - z**3 + 0*z**3 + 12*z**3)*(55*z**2 + 41*z**2 - 26*z**2).\nAnswer: 703*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -327074 (base 10) to base 14\nAnswer: -872a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 8:24 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 4*u + 13, -2*l + u = -u + 2. Let s = -5 - -7. What is the second derivative of -k**2 + k**s + 4*k**2 + 0*k**2 + l*k wrt k?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4141 + 4138 - 12420 + 4141 + 1334*s.\nAnswer: 1334*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9831649 rounded to two dps?\nAnswer: 0.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1\/11, -1, -3 in descending order.\nAnswer: 5, -1\/11, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6.30032 tonnes?\nAnswer: 6300320000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.66 + 1.621. Let r = q + 0.339. Which is the biggest value? (a) -0.22 (b) -1 (c) r (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 6*j**2 - 28*j + 15. Let o be u(9). Let s be o\/(((-90)\/6)\/(-5)). Solve -8 = -s*c - 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 3*x - 11011, 8*w - 2*x + 13755 = 13*w. List the prime factors of w.\nAnswer: 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b*c**2*p - b*c**2*y + 6*b*c*p*y + 20*b*c*p - 22*c**2*p*y - 3*c**2*y - 4*p*y wrt c?\nAnswer: -2*b*p - 2*b*y - 44*p*y - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3. Let c(j) = -7*j**3 + 3*j**2 - 2*j. Let w(p) = -p**2 + 72*p - 461. Let f be w(7). Give f*r(t) + c(t).\nAnswer: -t**3 + 3*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 252 by -63.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -304056 (base 12) to base 6.\nAnswer: -24052150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -368, -0.5, -1, 4\/15, 20?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2740090.9 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3493*i - 5860*i - 701475 for i.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -180*x**3 - 81420060*x**2 + 27140035*x - 2261670 = 0. Calculate x.\nAnswer: -452334, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 342440983 to the nearest integer?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yj when two letters picked without replacement from {j: 14, y: 5}.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -26\/15 and 22\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -k**7 + 57*k**6\/20 + 147*k**5\/10 + 101*k**4\/8 - 9*k**3\/2 - 6*k**2 - 134*k. Find l such that d(l) = 0.\nAnswer: -1, -1\/4, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 284068.5 meters in centimeters?\nAnswer: 28406850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1714*m**4 + 3038*m + 63*m**4 - 3 - 41*m**4 + 3 wrt m.\nAnswer: -20304*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 623218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 5 + (3 - 7) + 4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.0103796, 2\/5, 0.2, 16, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1938 and 306.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -26125 (base 10) in base 14?\nAnswer: -9741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, q: 3, n: 4, k: 2}. Give prob of picking 2 n and 2 k.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 4*x + 7*x)*(-7 + 4 - 11)*(-2 + 4 + 0).\nAnswer: -280*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (181 - 23*u**2 - 181)*(0*u - 4*u + 5*u) + 13598*u - 54*u**3 - 13598*u to d + a*u + k*u**2 + p*u**3 and give p.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 245d (base 14) to base 10.\nAnswer: 6355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 2*h**2 + 14*h + 9. Let g(y) = -y**2 - 11*y + 31. Let a be g(-13). Let s be p(a). Solve s*w - 20 = -4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 380227 to the nearest integer?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6485 + 47.46106.\nAnswer: -6437.53894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22\/13*c**2 - 20\/13*c + 0 - 2\/13*c**3.\nAnswer: -2*c*(c - 10)*(c - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8559750*y**5 - 5612955*y**2?\nAnswer: 513585000*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2905*j - 184 = 2907*j - 16*r, -4*j = 5*r - 76 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -3) + 5 + -8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -102 by 51.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**3 - 3*s**3 - 5*s**3)*(1 - 1 + 2).\nAnswer: -14*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5.6, 0.2, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - x - 3, 5*x - 26 = 5*z - 11. List the prime factors of ((-18)\/(-27))\/(z\/27).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j. Let i(b) = -35*b + 6. Give i(m) + 6*x(m).\nAnswer: -47*m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -20225170606.\nAnswer: -20225170610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b - 3*b + 48*b + (-2 + 3 + 0)*(2*b + 2 - 2)*(0 + 0 + 1) in the form q*b + s and give q.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kfkfktq. Give prob of picking 2 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -308 or -2166\/7?\nAnswer: -2166\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35)*-2 - sqrt(35))*-1)\/sqrt(7) - (-2 + 0 + sqrt(5) + -4).\nAnswer: 2*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3827528168?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160033*t - 8 = 12*n + 160034*t, 5*n = 4*t - 21 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 214882 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 + 36. Let t(y) = -7 + 6*y - 12 + 3. Let m(s) = 2*s - 5. Let f(d) = b*m(d) - 2*t(d). Find the first derivative of f(i) wrt i.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 14*b**3\/3 - b**2\/2 + 2*b - 2391. Determine o(-2).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 576, -1, 7, 1, -2, 5, -4 in descending order.\nAnswer: 576, 7, 5, 1, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -240 + 1204\/5. Let i be (-2)\/(-8) - (-2)\/(-4). Let a be 2\/1 - (-1 + 2). What is the closest to i in a, 3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 3*m = -15. Suppose -3*q + m*s - 2*s - 22 = 0, 4*q + s + 41 = 0. Let f = 23 + q. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 7*q - 19. Let n be w(10). Suppose 12*g - 2 = 14*g. Put -3, -2, g, n in increasing order.\nAnswer: -3, -2, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 201*u. Let l(x) = 4120*x. Determine -103*g(q) + 5*l(q).\nAnswer: -103*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -i**4\/6 + 7*i**3 - 21*i**2\/2 + 36*i. Let o(g) be the first derivative of l(g). Find the first derivative of o(b) wrt b.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*b + 234. Is b a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 68519066?\nAnswer: 137038132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-four fifths of a microgram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1703*j**4*y**2 + 7613*j**2*y**3 + 7458314*j*y**3 + 4*y**3 wrt j.\nAnswer: -20436*j**2*y**2 + 15226*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/(-6) + -1)*-46. Let v = 27 + n. What is the lowest common multiple of 10 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8263631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/7 (b) 0.3 (c) 0.095 (d) 0 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/11 (b) -0.4 (c) 53973 (d) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/6*7848\/(-28340).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -7*g**2 + 20*g + 21. Let j(z) = -z**2 + 10. Let w(u) = -4*j(u) + k(u). What is w(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 h, and 1 d when four letters picked without replacement from {w: 2, h: 1, q: 1, j: 2, d: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 20802300 to the nearest one hundred thousand.\nAnswer: 20800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -12) + (-416852)\/25921.\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 205, 285, 365, 445?\nAnswer: 525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-11)*(s*((s*s\/s**(-5\/2))\/s)\/s)\/s*s*(s**(7\/3)*s)\/s**17 assuming s is positive.\nAnswer: s**(11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10625 by -125.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w - 2. Let q be v(-2). Let a = 57 - 41. Solve -3*u = -5*k + a, 0 = -q*u - 2*u - k + 11 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-5) - (-2)\/(-5). Let m(u) = -6 - 11 + 433*u - 868*u + 434*u. What is m(c)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1289 = 5*g - 5*n + 224, -3*n = 5*g - 1065. Let i = 357 - g. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.60111485 to 1 dp.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, 1.4125, 54?\nAnswer: 1.4125","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + s - 226 = 0, 0 = 3*r + 2*s + 63 - 290. Calculate the least common multiple of 9 and r.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -h**4\/4 + 6*h - 1. Differentiate f(l) wrt l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 5*z**2 + 4*z - 1. Let g be j(4). Suppose 0 = -4*h - d + 4, h - 3*h = 2*d - 8. Is g >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18439962.\nAnswer: 2, 3, 467, 6581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114361 (base 9) to base 3.\nAnswer: 10111102001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18047647\/140250 - 1\/6375. Let u = 131 - v. Calculate the common denominator of u and -81\/130.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2916) - (sqrt(36) - (sqrt(5184) - 2*sqrt(5184))))\/((sqrt(1728)*1 + sqrt(1728))*2*-5).\nAnswer: 11*sqrt(3)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*k + 42*k = -9 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-2)\/8*0\/5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**26\/c**(-3\/2))\/(((c**(-9\/2)\/c)\/c*c*c)\/c**(-3\/10)) assuming c is positive.\nAnswer: c**(317\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(55)*2)\/((sqrt(100) - sqrt(25))\/sqrt(5)) + -1)*4.\nAnswer: -4 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*i - 6*i + 9*i - 5*i in the form f*i + w and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 64782 and 9.\nAnswer: 64782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 37*a**2 - 274*a + 313. Give j(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*k**3 + 95\/7*k - 184\/7*k**2 - 2\/7.\nAnswer: (k - 1)**2*(91*k - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196908202?\nAnswer: 2, 29, 3394969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 58214960467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of d**4\/12 + 13*d**3\/6 + 3*d**2. Let f be z(-10). Let o = -5 - f. Solve 12 - 2 = -o*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/9? (a) 229 (b) 5 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 1156 = -5*d - 389, 3*d - 5*v = -895. Which is bigger: d or -306?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**4\/3 + 134*b**3\/3 - 620*b**2\/3 = 0.\nAnswer: 0, 5, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2 - 2 + h. Let q(r) = -3*r - 188. Let j be q(39). Let v = 305 + j. Give n(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28790 - -28723. What is the nearest to 3 in -2\/13, -3, k?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 566, 1424, 2774, 4550, 6686, 9116?\nAnswer: 11774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 416 a factor of 528391552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21122020 (base 3) in base 2?\nAnswer: 1010111000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1*(sqrt(108) + -2*sqrt(108) + -3))**2.\nAnswer: 36*sqrt(3) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*p = 21. Let b(l) = l**2 + 6*l + 9. What is the units digit of b(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 413884251 and 0.24.\nAnswer: 413884251.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30.5 * 1.\nAnswer: 30.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 6104?\nAnswer: 6103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -3. Suppose m*q = 3*q - 21. Suppose 5*b + 100 = q*b. What is the highest common divisor of b and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of 5*m**4\/24 - 10*m**3 - 50*m**2. Let t be o(13). Solve -11*s = -6*s + t for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/30*-2*665\/7\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 4*w + 11975 + 12155, -5*r - 2*w = -40226. What are the prime factors of r?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 - 16*b**2 + b**2 - 8*b**2 + 4*b**2.\nAnswer: -17*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -a4a (base 16) to base 12\nAnswer: -1636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 512.9099 grams?\nAnswer: 512909900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29436 is divided by 1276?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29376280 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -24*n**2 + 450*n - 714. Calculate q(17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/8193 and -59\/198?\nAnswer: 540738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z - 4*z + 3*z)*(2*z**2 + 0*z**2 + 0*z**2 + (0 - 2 + 0)*(-4*z**2 + 5*z**2 - 2*z**2)).\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160723 is divided by 17831.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2618310 or -2618314?\nAnswer: -2618310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -12*a**3 - a**2 - 2*a. Calculate q(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33120 divided by -1104.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -95 + 137. Let y = 157 + -145. Calculate the least common multiple of f and y.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000926483 to six dps.\nAnswer: 0.000926","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 24*k**2 - 83*k - 51. Let u(v) = 2*v**3 - 48*v**2 - 167*v - 101. Let w(o) = 2*u(o) - 5*x(o). Is 9 a factor of w(27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15944, 30729, 45504, 60263, 75000, 89709?\nAnswer: 104384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, 0.329884, 237?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 6*h + 6. Let c(z) = 2*z**2 + 7*z + 7. Let f = 15 + -18. Let k(i) = f*b(i) + 2*c(i). Let y be k(5). Solve 6 = a + y for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 + 2107 + 493 + w**2.\nAnswer: 2*w**2 + 2600","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -9*o + 10*o + 73339993, -4*o = c - 36670028. Round c to the nearest one million.\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3025478 + -2149321. Suppose -706707 - y = -4*s. Let u = s + -231716. Round u to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29893966 or 29893968?\nAnswer: 29893966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -19*s - 19. Give o(-5).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 p when two letters picked without replacement from {z: 1, m: 1, p: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, q: 4, j: 2}. Give prob of picking 1 j and 2 q.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 33295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -32063\/4 smaller than -8016?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 4*o**2 - o - 2. Suppose -5*r - 199 + 4 = 0. Let b = 37 + r. Let t be (2\/2 + b - -5)\/(-1). Determine f(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1632143 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iwiwiwwwwzzrizrww. What is prob of picking 1 r, 2 z, and 1 i?\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 974391438?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fxx when three letters picked without replacement from {b: 1, x: 3, o: 1, f: 3, y: 2}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 2, -22 in ascending order.\nAnswer: -22, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 183435338?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + (-1)\/(-2))*-2. Factor 2*x**5 - 3*x**3 - 4*x - x**5 + 6*x**f - 4*x**2 + 4*x**4.\nAnswer: x*(x - 1)*(x + 1)*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.7987094 to 2 decimal places.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12 - 59\/7*q + 1\/7*q**3 + 26\/7*q**2.\nAnswer: (q - 3)*(q + 1)*(q + 28)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-3 + 2 + 1). Let u(x) be the third derivative of -1\/24*x**4 + 0*x + 11\/3*x**3 - 18 - 2*x**2. Give u(f).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of t**5\/40 + 11*t**4\/32 + 3*t**3\/4 - 864. Factor q(z).\nAnswer: z**2*(z + 2)*(z + 9)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -36*a**3*v**2 - 1731209*a**3 - 12784*a**2*v**2 wrt v?\nAnswer: -72*a**3*v - 25568*a**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 83 (c) 1\/8 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -119.12 - -119. Let b = w + -0.28. Sort 10, -5, b in decreasing order.\nAnswer: 10, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1820 and 215540.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 81\/70 + -5\/14. Factor 1\/5*a**3 + 0 - 1\/5*a - v*a**2 + 4\/5*a**4.\nAnswer: a*(a - 1)*(a + 1)*(4*a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d = -22*d + 85. Suppose -d*q + 8*q + 2673 = 0. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/84*(-2814)\/603.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 108 and 21112\/42 + (-4)\/(-3).\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1438670 and 2350?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 179\/(-45) + 1 + 3. Let u = r + -101\/495. What is the biggest value in -4, -1\/6, u?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 - ((-4)\/(40\/(-15)))\/((-45)\/(-180))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 3:17 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 * 3390.55.\nAnswer: 67811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/10 and 131\/354?\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/7, -0.42, -5, -0.04, -15.39?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + s**2 + 43*s - 4. Calculate w(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1330, 1324, 1316, 1306, 1294, 1280?\nAnswer: 1264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -76*y - 384. Let h be l(-5). Let m(v) = -8*v - 1. What is m(h)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 9:02 AM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(110)*1 - sqrt(110))\/((sqrt(180) - sqrt(20))\/sqrt(2)).\nAnswer: -3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(3*(-6)\/27)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.059271 and 4?\nAnswer: 4.237084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = m + 19*q, 3*m + 506190*q + 97 = 506186*q for m.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 5*b = 4847 - 4642, -6*y - 50*b - 2130 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150 = -2*z + 3*f, 3*z + 204*f - 249 = 209*f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 3, e: 1, u: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*b - 3*t - 2 - 28, 9*t + t + 16 = 6*t for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 625.4201 years?\nAnswer: 0.6254201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**2 + 2*h**2 - h**2 + (-3 + 4 - 5)*(-27*h - 2*h**2 + 27*h) + 3*h**2 - 2*h**2 - 2*h**2.\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112.9916 nanometers to kilometers.\nAnswer: 0.0000000001129916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -317, 123, -2 in increasing order.\nAnswer: -317, -2, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**11\/r*(r*r\/r**(-5))\/r*r)**40*(r*(r*(r*r**(-1))\/r*r)\/r)**(-49)\/(((r*r**(-2\/7))\/r)\/(r**(-3\/2)\/r)) assuming r is positive.\nAnswer: r**(8803\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + sqrt(125).\nAnswer: -4 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -252340.2 to the nearest ten thousand.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**5 - 31*l**4 - 111*l**3 - 81*l**2 = 0. What is l?\nAnswer: -27, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4.2 + 0.398496373\nAnswer: 4.598496373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 13*n**2 - 19*n - 49. Let y = -3 + 5. Suppose -2*c - 11 = -6*c - 5*l, 10 = 2*c - y*l. What is the remainder when b(-14) is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57983 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t + 9. Let i = -2 - 3. Let g be s(i). Let o = 11 + g. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125) - (sqrt(125) + (-6*(-4 + sqrt(125)))**2).\nAnswer: -5076 + 1440*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/61)\/f**(-2\/33)*f**(-37)\/f*f**(7\/4) assuming f is positive.\nAnswer: f**(-291661\/8052)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6615?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 6:58 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*b + 217 = 113. Let y(w) be the first derivative of -16*w**2 + 17*w**b + 2*w**6 - 19 + 52\/5*w**5 + 4*w**3 - 16*w. Solve y(m) = 0 for m.\nAnswer: -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*o - 91 + 1. Let s(h) = 2937*h + o*h**2 - 2937*h. Let v(n) = -3*n. Calculate s(v(p)).\nAnswer: 27*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1 (b) 102 (c) -35 (d) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txpxtttl. Give prob of picking 1 l and 1 x.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.9 (b) -105\/8 (c) -48.425\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05 and -201.2?\nAnswer: 10.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39\/4 - -101\/12. Sort -5, -0.4, r, -0.08 in descending order.\nAnswer: -0.08, -0.4, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -3*q + 27, 4*s - 4*q - 15 = -22*s + 99 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19185 + 21915. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + o - 5. Let x(g) = g**2 - g + 1. Let n(u) = -s(u) - 5*x(u). Let n(t) = 0. What is t?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**2 + 330*o**3 + 3 + 2*o + 3*o**2 - 334*o**3 to the form h*o**3 + p*o + m + g*o**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 166. Let u = 155.92 + f. Let n = 1.28 + u. Put 0.1, -1, n, -0.3 in increasing order.\nAnswer: -1, -0.3, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70826 and 40472?\nAnswer: 283304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14754 - 14757. Let y = 2 - 7. What is the nearest to r in -2, y, -2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1251367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 250 and (300\/(-27))\/(50\/(-225)).\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.9900107 - -1.99. What is a rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/10*(2 + (-121)\/88). Let r = 0.3 - 1.3. Let q = 165 + -1813\/11. Which is the closest to w? (a) 0 (b) r (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of 2\/3*v**3 + 0 - 1\/24*v**4 - v**2 + 0*v. List the prime factors of d(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-4)*z**(-7))\/(z**0)**(-2\/135)*((z*z**(-2\/5)\/z*z)\/z*z*z)**(2\/91)*z**(1\/3)*z**4 assuming z is positive.\nAnswer: z**(3233\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-10)\/6)\/5)\/(2\/(-12)). Suppose -3*f - 13 = -5*i, -3 = 3*f - k*i - i. Calculate the greatest common divisor of 10 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4944, -5014, -5100, -5208, -5344, -5514?\nAnswer: -5724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddddsdsssdddds. What is prob of sequence ddd?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 106*y**2 - 4*y**4 + 2418*y**6 - 2405*y**6 - 23*y**2 wrt y.\nAnswer: 1560*y**3 - 96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10731 + -3?\nAnswer: 10727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -606*k + 9672 = -730*k for k.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11754657.\nAnswer: 3, 29, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, b: 2, o: 4, w: 1, r: 1}. Give prob of picking 1 w and 2 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(832) - (-3 + 0 + sqrt(832))) + 5)**2 - ((3 + (sqrt(832) - (-1 + sqrt(832)) - sqrt(832)))**2 + (1 + sqrt(832))*3)) + 0.\nAnswer: -787 + 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1255 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 3*d**2 + 6*d + 5. Let s be r(-2). Solve -5*v - 2*q + 18 = 0, -5*v + 9 + s = -2*q for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 728.8935 years?\nAnswer: 0.7288935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -7*q + 18. Let k(f) = 6*f - 17. What is -6*k(p) - 5*x(p)?\nAnswer: -p + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11040*h + 2054 - 2054.\nAnswer: 11040*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16.6 + -94.6. Let b = i + 81.5. Round b to 0 decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 3*p + 0*p)*(7*p**4 - 10*p**4 - 9*p**4) + (2 - 4*p**3 - 2)*(p - p**2 - p).\nAnswer: 16*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 875452307 + 2\nAnswer: 875452309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5 - -0.3. What is the fourth smallest value in 0, 3, 0.1, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/16 and -61\/40.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -124305248 + 124305804.99591. Let y = 557 - z. Round y to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*w - 13*w**3 - 48*w + 60*w**3.\nAnswer: 47*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23178, 92228, 207308, 368412, 575534?\nAnswer: 828668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*c = 13*c - 42. Let l be 264\/(-143) + 6\/(-39). Let u(m) = m**3 - m**2 - 3*m - 1. Let j be u(-2). Sort l, j, c in ascending order.\nAnswer: j, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274145 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5910, 60, -6, -4, 5 in increasing order.\nAnswer: -6, -4, 5, 60, 5910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 683.4228ml in litres?\nAnswer: 0.6834228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 31, 63, 95, 127?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-3))\/((-13)\/(-3)). Let r = 0.08 + 0.72. Let k = r + -1. What is the smallest value in -1\/9, x, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*l**3 - 32*l - 16*l**3 + 32*l - 42 + 6*l**3.\nAnswer: l**3 - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.035*-156.9.\nAnswer: -319.2915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -395.424 to the nearest 10.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t\/t**(2\/7))**(-1\/39)\/((t*t*t*t**(-4)*t)\/(t*t**3)) assuming t is positive.\nAnswer: t**(1073\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -5*s - 17. Let d be t(-4). Suppose 2*z + 5*y = 5*z - 301, 341 = d*z + 5*y. Let l = z - -200. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 6:45 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -32.8, 2\/15, 0.4, 8.8?\nAnswer: 8.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25752 at least as big as -1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -4)*(-16)\/56?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/(-6) - (-8)\/(-24). Let y = 1\/17 + 21\/221. Which is the second smallest value? (a) y (b) k (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pvsvkpkkssvsmk. Give prob of sequence msv.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/845*5)\/(108\/234).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v, 1 y, and 1 i when four letters picked without replacement from vvipyyiayafpppfyaf.\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 24 = 4*o. Let l(u) = -u**3 + 3*u**2 + 7*u - 7. What is l(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*f - 210708 + 741397 = 0. Is 122 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 + 22040*c + 30360100.\nAnswer: 4*(c + 2755)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-14)\/(-39)*(-1908)\/(-4452))?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/28*(-42)\/48*2*28\/(-371)\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5665 (base 9) in base 10?\nAnswer: -4190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) - (sqrt(320) - (sqrt(320) + (-1*sqrt(320) - sqrt(320)))*-4))**2 + (sqrt(405) + -5*1*sqrt(405))**2.\nAnswer: 11600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 117286968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**3 + 440*o**2 - 8595*o + 21960.\nAnswer: -5*(o - 61)*(o - 24)*(o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/9 + 22*c\/9 + 8\/3.\nAnswer: -2*(c - 12)*(c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 3 + 0)*(-s + 0*s + 2*s)*(5*s + 12 - 2 - 2*s).\nAnswer: -33*s**2 - 110*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 5*b**2 + b - 1. Let f be a(-2). Let v = 13 + f. Suppose n + 4 = 3*n. What is the smallest common multiple of n and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12.3237 and 4.1.\nAnswer: 50.52717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6350 = 231*o - 8673 - 12230. Calculate the remainder when 12219 is divided by o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(95)\/(sqrt(5) - -1*sqrt(5) - sqrt(5)) + sqrt(190)\/(sqrt(90)\/(sqrt(9)*5)) + 2)**2.\nAnswer: 84*sqrt(19) + 733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 6*t - 11*t. Suppose -4*y = -t - 4. Find x, given that -2\/3 + 2\/3*x**y + 0*x = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2 - 1 + 3 + 4 - 22*s.\nAnswer: -22*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5955389 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*i**3 - 3*i**3 - 10*i**3 + 2*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5525 + -4?\nAnswer: -5533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3506 and 4538?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 654860.\nAnswer: 654860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29529955, 29529991, 29530045, 29530111, 29530183, 29530255, 29530321, 29530375?\nAnswer: 29530411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1402464 is divided by 10715.\nAnswer: 9514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1301227ug to milligrams.\nAnswer: 0.0001301227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.8 (b) -3\/2 (c) -5 (d) -8 (e) -4 (f) 2\/9 (g) -1.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -33*f - 61*f**2 + 32*f - 9*f**2 + (-4*f**2 + 4*f**2 - 2*f**2)*(1 - 1 - 2) + 1 - 1 - 2*f**2.\nAnswer: -68*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t*t**(-8))\/t)\/t**7*(t*t**(-2\/5)*t)**32)\/(((t*t**(-1))\/t)**(37\/4)*t\/(t\/(t\/(t*t*t**(-9))))*t**(2\/13)*t*t) assuming t is positive.\nAnswer: t**(9437\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 301020 (base 9) in base 6?\nAnswer: 3451330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -30*h**3 + 27*h**2 + 21*h - 10. Calculate g(-3).\nAnswer: 980","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/7 - 22432250*u + 880610220109375.\nAnswer: (u - 78512875)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h - 8. Calculate l(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 2, 46, 317, -0.1, -0.022 in decreasing order.\nAnswer: 317, 46, 2, -0.022, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(1\/(3\/3)). Let r(b) = -b**2 - 2*b + 1. Let h be r(-2). What is the units digit of (1 - y*-9)*h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 321153, 1284623, 2890413, 5138529, 8028977, 11561763, 15736893, 20554373?\n\"Answer: h**3 + 321154*h**2 + h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 584 - 401. Let l = g - 187. Let j(y) = y**2. Let f(o) = -7*o**2 - 2*o. Let n(b) = f(b) + 6*j(b). Calculate n(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/3))**14*(a\/a**1*a)**36*((a*a\/(a*a**4)*a*a)\/(a**(2\/9)*a))\/(a**(-2\/15)*a*a**(-1\/8)) assuming a is positive.\nAnswer: a**(10213\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a**2 + 23*a**2 - 5*a**2.\nAnswer: 25*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2316143 (base 7) to base 14\nAnswer: -77aca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -3106, 1\/2?\nAnswer: -3106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 4, 0, -0.2 in descending order.\nAnswer: 4, 0, -0.2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1813 - 1811. Sort p, -54, -1\/7.\nAnswer: -54, -1\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14871 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v = 6*v - 154. Let q(h) = -3*h - 8. Let m be 2\/8 + (-17)\/4. Let c(x) = x + 3. Let w(g) = m*q(g) + v*c(g). What is w(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36355 to the power of 1\/2, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 14*w + 18. Determine a(10).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 10*v**2 - 1. Let m(c) = -300*c + 20*c**2 + 116*c + 111*c - 2 + 73*c. Calculate -7*g(z) + 4*m(z).\nAnswer: 10*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -7.4, 0.6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/20*((-10)\/6)\/(32\/(-912)*-38).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 949 and 1400575007?\nAnswer: 949","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 234 - 231. Suppose m*g - 1392 = 366. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(((r\/(r\/(r*r**(-1\/35)\/r*r)))\/r*r*r)\/r))\/r)**(2\/21) assuming r is positive.\nAnswer: r**(2\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 46864656403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 8, t: 7, o: 1, j: 1, y: 2}. What is prob of picking 1 y, 1 o, and 1 t?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a - a617a?\nAnswer: -a6170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113885126454606*n**3 + 113885126454607*n**3 + 3*n**2 - 3*n**2.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 140552844217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7922333 is divided by 80840?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.484777 years to months.\nAnswer: 65.817324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4*t - t - 4*t)*(-1 - 1 + 1) - 65*t - 22*t - 89*t)*((4*t - 2*t - 5*t)*(2 + 1 - 2) + 0*t - t - 4*t) to s + f*t + l*t**2 and give l.\nAnswer: 1400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**5 - 2*u**5 + 5*u**5 + (-1725 + 1725 + 37*u**5)*(7 + 2 + 18).\nAnswer: 1000*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 3.700539 years?\nAnswer: 0.003700539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 40*x + 141. Let w be r(-19). Is 540 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -18*j. Let b(y) be the second derivative of -187*y**4\/12 - 605*y. Determine m(b(k)).\nAnswer: 3366*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 9 + 15. What is the smallest common multiple of 289\/y + (-27)\/162 and (-6)\/((-6)\/(-32)*-2)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 3*a + 3*a)*(0 - 2*a + 0) - 10*a**2 - 250 + 250 + 2*a**2 - a**2 - 4*a**2 + (3*a + 0*a - 2*a)*(5*a - 10 + 10).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 5 = -w - 2*j, -3*w - 3*j + 9 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1390, -13477, -38256, -72947, -117550, -172065, -236492?\n\"Answer: -4956*n**2 + n + 6345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 106779 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 61118201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((-3)\/(-87) - 0). Let l = 65 + b. What is the remainder when l is divided by 136\/14 + (120\/(-224)*20 - -11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14697803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 415, 420, 425?\nAnswer: 430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 7*f**2 + 8*f - 20. What is g(8)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2469904088.\nAnswer: 2, 19, 619, 26251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -264, -269, -278, -291?\nAnswer: -308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 0 = 5*d, 0 = 4*c + d - 827. Calculate the greatest common factor of 23 and c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 18349 + 18355 = -r, r + 14 = -3*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -7*f + 4. Suppose -d - 107 = -3*t, -25 = -f*t - 2*d + 41. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in -0.4, 2, 13\/8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 1065375?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.1 - 2.9. Which is the closest to 0.2? (a) -0.2 (b) -5\/3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4956 is divided by 1574.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 13*g**2 - 13*g + 17. Suppose -1706 = -7*w - 1804. Is a(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 319*a**4 + 5*a**3*z - 2*a**3 + 12*a**2*z + 1937*a**2 wrt a.\nAnswer: 7656*a + 30*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 7:38 PM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2 - 2)*(0 - 1 + 3) + 7 - 1 - 1)*((-4*x**3 + 5*x**3 - 4*x**3)*(2 + 5 - 5) + 2 - 2 - x**3 + 19*x**3 - 19*x**3 - 11*x**3).\nAnswer: -54*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -1 + -11 + 6 - -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 7 - 23*u)*(-u**3 + 3*u**3 + 14*u**3 - 2*u) as i*u**3 + t*u + h*u**4 + b*u**2 + c and give b.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (13 - 5)) + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a milligram in micrograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/(-14) - (5 - (-222)\/(-42)). Let z(o) be the second derivative of 0 + 0*o**l + 3*o - 5\/2*o**4 + 0*o**3. Let t(v) = v. Give z(t(m)).\nAnswer: -30*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 168.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -273639.33834 to the nearest 10.\nAnswer: -273640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (-24 + (28 - 15 - 23)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -124, -252, -378, -502?\n\"Answer: d**2 - 131*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*o + 18 = 11, -b + 2 = -3*o. Let l(c) be the third derivative of 0 + 1\/20*c**b - 5*c**2 + 0*c - 1\/2*c**3 + 0*c**4. Factor l(u).\nAnswer: 3*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 3 = 4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/312 and 11\/84?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -9) + -5 + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-7 - -7) - 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 416802262?\nAnswer: 2, 37, 79, 83, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(14)\/sqrt(2) + 5)**2 - (sqrt(56) - (sqrt(504)*-1)\/sqrt(9))\/sqrt(8)) + (1 + (-1*sqrt(224) - sqrt(224))\/(1*sqrt(2)*2))**2.\nAnswer: 6*sqrt(7) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 divided by -37?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 43, 90, 147, 220, 315, 438?\n\"Answer: n**3 - n**2 + 43*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 6. What is the remainder when 4 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/12 - -3)*28\/(-42)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24134858177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*f*p**3 - 409*f*p**2*z + 36*p**3*z - 25*p wrt f.\nAnswer: 3*p**3 - 409*p**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -32. Let q be (-4)\/(-14) - 78\/j. Solve -5*o + 6 = -q*v, 3*o - 2*v + v - 5 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {p: 1, u: 17}?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 25 + 117. Suppose s*w = 18*w + 19945. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of d**5\/120 + 433*d**4\/24 + 187489*d**3\/12 + 846*d**2. Determine r, given that z(r) = 0.\nAnswer: -433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -637 - -316747.\nAnswer: 316110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*j + 4*d + 60 = -16*j, 7*j - 7*j - 16*d - 60 = -0*j - 12*d for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2145160, -4290323, -6435486, -8580649, -10725812?\nAnswer: -12870975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 17334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x**3 + 0*x**3 - x**3)*(-3*x + 4*x + x) - 7*x**4 + x**2 + 22*x**4 - 19*x**4 - 1 in the form a*x**2 + o*x**3 + h*x + w*x**4 + d and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -341287 (base 10) to base 13.\nAnswer: -bc45b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o - 12 - 0. Let m be (o\/1)\/((-4)\/(-94)). Let h = 66 + m. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 367353 and 997101?\nAnswer: 6979707","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + w - 156, 0 = -4*p + 9*p + 2*w - 152. Is 3 a factor of ((-3)\/4)\/((-8)\/p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*a - 5. Suppose a*l - 5*m - 74 = 3*l, m = 3*l - 292. What is the highest common factor of 33 and l?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**3 - 9*d**2 + 2*d + 9. Let l be (6*1)\/((-10)\/(-10)). What are the prime factors of g(l)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.805 + -1.0054. Let o = s + 0.2. What is o rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213507 is divided by 7329?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 265608 to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 326191?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*35\/(-56)*(-16)\/10. Let u = k + 11. Solve -4*t = -3 + u for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/15)*x**(-10))\/(x**(1\/7)*x**(-2\/9)) assuming x is positive.\nAnswer: x**(-3083\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93518.\nAnswer: 2, 19, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - (sqrt(66) + sqrt(66)*-4)\/sqrt(6)) + sqrt(11) - 1*sqrt(11)*2)**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/6*(-984)\/20. Solve -y = 4*v - 135 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -234 (base 5) to base 8\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 65*g + 4. Let m be t(-6). Let q be 3\/(-1) + m\/(-130). Let n = 18 - 19. Is n not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -23*j**2 - 892*j + 27. Calculate o(-7).\nAnswer: 5144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 5*m - 10, 2*l - 26*m + 25*m + 2 = 0. Determine g so that -1\/4*g**2 + 0*g - 3\/4*g**3 + g**4 + l = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 - -141?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 339.\nAnswer: -3\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(8\/3))\/s**(-46))**10)**(-15) assuming s is positive.\nAnswer: s**(-7450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -1. Let v = -19.3 + 96.3. Let o = v - 77. Which is the closest to 1? (a) -2\/7 (b) o (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence putu when four letters picked without replacement from nnnutunnp?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8573 divided by 6.\nAnswer: 8573\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 2)*(1 + 17*n**2 - 295*n**2 + 21*n**2).\nAnswer: 1028*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = j + 17. Let t be (18\/27)\/((-2)\/j). Which is the nearest to -1\/5? (a) t (b) -1\/6 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2860*j - 72 = -2862*j - 9*g, -24 = -5*j - 3*g for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 826202773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23 + 551550.7.\nAnswer: 551573.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21375, -42749, -64209, -85755, -107387, -129105?\nAnswer: -150909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 775*o**3 + 16*o**2 - 11. Let b(n) = 775*n**3 + 11*n**2 - 9. Give 3*b(t) - 2*v(t).\nAnswer: 775*t**3 + t**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + q. Let d(h) = 14*h**2 - 9*h + 2. Let r(u) = d(u) + 5*m(u). Let g(s) = -4*s**2 + 2*s - 1. Determine -5*g(n) - 3*r(n).\nAnswer: -7*n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n**2 - 3*n. Let i be h(2). Let z(u) = 7*u**2 - 6*u - 5. Let s be z(-5). Let x be ((-1)\/(-4))\/(i\/s). Solve 5 = x*q + 20 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 10 = -2*l. Let g = -29 + 31. Suppose g*k = 10, -3*k - 2*k - 219 = -l*o. What are the prime factors of o?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12 + (4 + -3 - 3). Let j = 8 + u. Suppose -4*o = -j - 94. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29688646?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.39433 rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + -15. Let d be ((1 - 2) + 2)*-3. Let u = t - d. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13172*o - 13176*o = -v - 15, v + 12 = 3*o for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 3:24 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228984370.\nAnswer: 2, 5, 22898437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/203 (b) -2083 (c) -1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(504) - (sqrt(504) + (sqrt(504) - 1*sqrt(504)) + sqrt(504))) + sqrt(504))*5)\/(sqrt(128) + sqrt(128) + -3*sqrt(128)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-26)\/4)\/(2\/(-8)). Suppose -y = 6 - 0. Let n = g + y. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 88 + -84. Differentiate 20 - 5*y**g + 8 + 24*y**4 with respect to y.\nAnswer: 76*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 11*d**2 + 11*d - 7. Suppose 5*m + 3*p = p - 56, p = -4*m - 46. Let w be f(m). Solve 4*g - 4 = 4*j, -2*j = w*g - j + 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 9 = y, 4*o = 9*y - 5*y - 12. Calculate the remainder when 12 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 m when two letters picked without replacement from {m: 3, b: 2, d: 3, w: 4, o: 3, g: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 3*f**3 - 31*f**2 + f - 34. Calculate the least common multiple of 2 and o(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 732339226 to the nearest integer?\nAnswer: 901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 11*m**2 - m + 5. Let v(l) = 2*l**3 - 21*l**2 - l + 9. Let p(n) = -5*i(n) + 3*v(n). What is the remainder when 34 is divided by p(8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -4 (c) 1\/627 (d) 0.001 (e) 4 (f) 0.5 (g) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34.944 + 0.056. Let m = y - 31.1. Let j = 3.862 - m. Round j to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24037*p**4 + 46656.\nAnswer: 96148*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16*-1*(-2)\/4. Suppose -5*y + y + 4*z = 8, 25 = 5*z. Suppose -y*i = 2*d - 25, -3*i = -x*i - 3*d + 40. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 475386 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -1426*f**2 + 868436*f - 1210. Determine y(609).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 931*b - 929*b - 7 + 2. Let a be s(4). Suppose -a*m + 19 + 29 = 0. What is the least common multiple of m and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 152 = -2*p, 5*m + 374 = -4*p - 1. Let d = -48 - m. Solve d = -2*u + 5*q, u = -2*u - 5*q + 28 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 22 = 2. Let d be u\/9 - (-67)\/99. Is 0 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 134*v**4 + v + 867.\nAnswer: 536*v**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(4 - 3 - -1). Let g be 2\/((2 - d)\/2). Solve w + 17 = -4*p + g, -5*w + p = -30 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 346.027387 rounded to the nearest ten?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (2 - -1) - 1 - 17?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 512278 (base 11) in base 10?\nAnswer: 822885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -1\/5, 76, 3, 5\/8?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312*p + 229 - 3801 = 484 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from cltt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1335 (base 6) to base 2.\nAnswer: -101011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 smaller than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 - -42. Suppose -n*k + 49 = -9*k. What is the common denominator of 52\/11 and k\/126*(-1 - -17)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -71 or -108?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(168) - sqrt(168)*2) + sqrt(168))*-4)\/(sqrt(88)\/(3*sqrt(11))))\/(sqrt(18)\/(sqrt(54) - sqrt(486)) + (2*sqrt(480) - sqrt(480))\/sqrt(10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3935508*i**4*y**3 - i**4 - 57697123*y**3 wrt i?\nAnswer: -15742032*i**3*y**3 - 4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -342422 (base 6) to base 4.\nAnswer: -13012232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 16\/(-3)*(1 + -28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*p**2*z**3 - 5*p**2*z**2 - 2*p**2*z + p*z**3 + 48*p*z wrt z?\nAnswer: -36*p**2*z - 10*p**2 + 6*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*z - 20 = -66*z + 466 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31620 by -5.\nAnswer: -6324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*x + 63 = 0. Suppose 3*g + 13 = d, 3*g + 1 = -d - 4. Suppose 3*h = s - 21, d*h + 0*h = -3*s + 63. What is the highest common divisor of s and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29243 + -18986. What is the thousands digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 141 - 140. Let y = -2 - -1.6. Which is the smallest value? (a) y (b) k (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28075 - 28073. Solve 5*r + 38 = -4*n + 27, 0 = -r - f*n - 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/(-2)*(-6)\/(-3). Suppose 58 - 61 = -3*p. Sort 5, t, p.\nAnswer: t, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i - 2. Let z be 1\/((-1)\/(-3)*-1). Let r = 6 + z. Let x be d(r). Calculate the greatest common factor of x and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -2*f**7\/21 - 9*f**4\/2 - 23*f**3\/3 + 3*f**2 - 891*f - 1. Find the second derivative of m(g) wrt g.\nAnswer: -80*g**3 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46080 - -5670. What is r rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-2)\/(1\/(3 + -5)) and (-2)\/9 - 195\/(-27)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1671 plus -2.8?\nAnswer: 1668.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -180560 times -15\nAnswer: 2708400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21659 + -21658.79766. Round o to three dps.\nAnswer: 0.202","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*y - 1481 + 555 = 1459. Suppose -5*j = -25, 9*d - 4*d = 4*j + 160. Calculate the least common multiple of y and d.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 70 = 2*t + 3, -3*c - 3*t + 33 = 0. Calculate the remainder when 10288 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 9*n**2 - 23*n + 158. Calculate h(10).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*t + 202 - 68 - 67 - 67.\nAnswer: -109*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -1081*o**6\/6 - o**2 + 967*o - 1845. Find the second derivative of f(x) wrt x.\nAnswer: -21620*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 4*m - 6. Calculate the least common multiple of (-69 + 67)*(0 - (5 - 3)) and j(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 988361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1107 (b) -0.3 (c) -2\/15 (d) -0.1 (e) 0.048\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1822367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f**3 + 16*f**2 - 6*f + 14. Let u be l(5). Is 11 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*j + 11, 5*j = -q + 2*q + 10. Suppose q*a = -b - 17, 13 = -2*b - 3*b - a. Let y = -4 + 3. Sort b, y, 4.\nAnswer: b, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -0.3 (b) 3\/4 (c) 30.7 (d) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m + 11 = 4*m - 3*z, 0 = -m - 5*z - 11 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 2*t**2 + 0*t**2 + 0*t**2. Let k(g) = 4*g. Give k(a(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 1, -5 in decreasing order.\nAnswer: 1, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4291828 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: What is the hundreds digit of 4210358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {e: 3, k: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68199 is divided by 336.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 322043122040 + 2?\nAnswer: 322043122042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 37 + -15 + (169 - 185)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -6, -6\/23, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 15.5\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 320*g**2 - 1501*g - 6 + 3006*g - 1505*g.\nAnswer: 320*g**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 69758304 divided by -28311\nAnswer: -2464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/12*697292\/55635?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -62 + -3347.1.\nAnswer: -3409.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -3*z**5\/20 + 9*z**2\/2 + 3*z. What is the derivative of l(t) wrt t?\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**3 - 14*g**2 - 70*g - 268. Give v(-7).\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -3.8, -143\/5, -3.\nAnswer: -143\/5, -3.8, -3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53.494195 - 53.5. Round f to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 875037836?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 - ((2\/(-3))\/((-2340)\/(-1404)))\/((-4)\/50).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.62 - -15.28. Let c = 167463.2 + -167444.29826. Let t = n - c. What is t rounded to 4 dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (((-32)\/6)\/((-58)\/(-87)) - -22123) + -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 736, 1472, 2296, 3202, 4184?\n\"Answer: -g**3 + 50*g**2 + 593*g + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v**2 + v - 8. Let q be h(6). Let b = -120 + q. Differentiate -49*j - b*j**4 + 105*j - 56*j + 18 wrt j.\nAnswer: -88*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 8:53 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -625*y + 11399 = -2701 - 3400 for y.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 0 + 0)*(-a + 4*a - 4*a) + 4*a**2 + 0*a**2 - a**2 + (0*a - 2*a + 3*a)*(-3 + 2*a + 3) + a**2 - 3*a**2 + 5*a**2.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3856, -3967, -4180, -4519, -5008?\n\"Answer: -4*f**3 - 27*f**2 - 2*f - 3823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/7)\/4)\/((-9)\/42*(-42)\/126)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 1181\/316?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -852*y - 297512. Give k(-350).\nAnswer: 688","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 188, 378, 568?\n\"Answer: 190*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/5 and -65\/183.\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {v: 1, m: 1, b: 3, g: 4, z: 4}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 324033?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 7:58 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8355, 16600, 24731, 32748?\n\"Answer: -57*f**2 + 8416*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -292, -2330, -7714, -18070, -35024, -60202?\n\"Answer: -271*l**3 - 47*l**2 + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (16\/(-4))\/((-8)\/13126) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 + 41.69. Which is the nearest to 0? (a) -1 (b) 0 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -6. Let i = -541.2 - 115.8. Let m = i - -658. Which is the closest to m? (a) 0.4 (b) z (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (23\/253)\/(-2*(-4)\/(-16)). What is the nearest to 1 in u, 0.4, -1\/9, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of 0*i + 1\/18*i**4 + 14*i**2 + 1\/90*i**5 + 0 + 1\/9*i**3. Factor y(m).\nAnswer: 2*(m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3)*((-2149)\/(-70) + -34)?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 66\/(-14) - (-2)\/(-7). Let z = -0.8 - -0.4. Let b = -0.1 + 0. Put z, b, r in descending order.\nAnswer: b, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 377 divide 1455552137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 770577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5066 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -651 (base 7) in base 2?\nAnswer: -101001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 0*i + 5*i = -387, -186 = 2*s + 4*i. Let u = s + 209. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52133252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.91 - 1.14. Let r = 0.05 + q. What is the nearest to -0.1 in r, 1\/6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.104 - -0.193. Let b = -15.911 - j. Let v = 19 + b. Sort 1, v, 1\/4, 0.3 in descending order.\nAnswer: v, 1, 0.3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(-2068)\/(-10) + (-2)\/5. What is the tens digit of ((-2)\/(-2))\/((-9)\/b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (64\/(-20))\/8 - 51\/(-15). Suppose 3*w = -z - a + 1, -w - 5*z + 4 = 0. What is the closest to 2 in w, -1\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20 - 1)*45\/(-21). Solve -x - 4*b - 16 = 0, b + 4*b = 5*x - s for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 4*v - 16 = 0, z + 24*v = 28*v + 7. Solve -5*f = -5*p, f + z*f = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150080157 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 10*m**2 + 17*m - 2. Let q be w(-8). Let z(g) = 58 - g - 14*g - 31. Is z(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (36\/(-15))\/(6\/(-160)). Let v = l + -86. Let q be (v\/(-3))\/(14\/21). Solve 5*n + i - q = 0, 2*n = 3*i + 2 - 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 14*o - 134. Let a(y) = -y**2 - 132*y - 865. Let c be a(-7). What is z(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - y + x - 3, 5*y - 15 = -x. Suppose -y*o - 6 = h - 4, 3*o - 12 = -3*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 0 + 0*k**3 + 1\/20*k**5 + 3*k**2 - 1\/12*k**4 + 0*k. What is the second derivative of s(z) wrt z?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45675873*x**5 - 3*x**4 - 68147771*x**2 wrt x?\nAnswer: -2740552380*x**2 - 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 176221\/1821204 + -41\/5913. What is the common denominator of y and -29\/1980?\nAnswer: 13860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**3 + 13*t**2 + 5*t + 5. Calculate the remainder when 51 is divided by g(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 371*f**2\/2 + 23*f + 146. Does 28 divide n(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21016148 (base 9) to base 2.\nAnswer: -100110100011111000010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 12*d + 11*d**2 + 0*d**5 + 4\/15*d**6 + 0 + 0*d**4 + 0*d**3. What is the first derivative of s(m) wrt m?\nAnswer: 32*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 40 = 3*y, 96*q - 48*q + 39 = 52*q + y for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - c. Suppose c = 3*p - 4*p - 79. Let a = 115 + p. Calculate the remainder when a is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 2*t = -5*h + 7, -4*t = h + 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -15) + 15 + (-6 - -19).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 272, 1107, 2498, 4445, 6948, 10007, 13622?\nAnswer: 17793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 335888 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -1\/12*z**3 + z + 40 + 0*z**2. Suppose r(y) = 0. What is y?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 369 divide 914228835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-20)\/4 + 7 + 87468 + 11 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 24*d**2 - 45*d + 30. Let c be f(22). Suppose 0 = -c*v + 4 + 12. Solve 0 = -2*y - 5*q + 3, 2*y + v*q - 7 = 7*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 17*c**2 + 15*c - 15. Let b be r(16). Let h = b + 29. Sort 2, h, -4 in decreasing order.\nAnswer: 2, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**6 - 74459*l**5 + 3202*l**2 - 1031 wrt l?\nAnswer: 120*l**3 - 4467540*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1196208 divided by -4.\nAnswer: 299052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 6*z + 32. Let n(k) be the third derivative of -k**4\/6 - 2387*k**2 + k - 2. Give d(n(g)).\nAnswer: -24*g + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16 - 30)\/(-28))\/(21\/(-1134)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*n + 11118 = -n - 56*n - 132*n for n.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3622 + 3618. What is the closest to -1\/3 in -5, v, -315?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 723.375 to 0 decimal places.\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-187 - 43 - 467)*(7 - 4 - 4 - n).\nAnswer: 697*n + 697","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 11\/2 of a week?\nAnswer: 924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -2 (c) -50 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*f**2\/9 - 104534*f\/9 + 41812\/9.\nAnswer: 2*(f - 10453)*(5*f - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + 44632.\nAnswer: 44633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -809\/30 + 134\/5. What is the nearest to -1\/5 in s, -3, 2\/17?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-20)*1)\/(4\/20).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38995.9 grams to micrograms.\nAnswer: 38995900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2289 + 1206*z**2 - 173*z**2 + 1866*z**2 - 4*z wrt z.\nAnswer: 5798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**2 + 11*m + 9. Let g be s(-4). What is the highest common divisor of g and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 423133 (base 5) to base 12.\nAnswer: 8248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 5. Suppose -92*v = -86*v - 36. Calculate the remainder when (-9)\/c - 87\/(-6) is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*q + 8. Suppose q*a = 0, -2*n - 5*a + 3 = -3*n. Let t(v) = 5*v**2 + 2*v - 2. Let s(l) = -6*l**2 - 3*l + 3. Determine n*t(z) - 2*s(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 2:52 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 170 + 290 = 2*q + 160, 2*x + 8*q - 4*q = -110 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) 4 (c) -1\/5 (d) -34.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 17*o + 1. Let v(h) = 11*h. Let z(j) = -5*f(j) + 7*v(j). Give z(-4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + 5. Suppose 0 = 16*y - v*y - 6. Let h(u) = 88*u + 5. Is h(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + x + 3. Suppose 0*j = j. What are the prime factors of k(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, -0.5, 3\/4, 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6639 divided by -14.\nAnswer: 6639\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*o, -4*l + 3*l = 5*o + 27. Let p(s) be the second derivative of s**4\/12 + s**3 - 7*s**2\/2 + 16*s. Determine p(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -49*n**6\/27 + 154*n**5\/45 + 719*n**4\/9 - 1672*n**3\/27 + 40*n**2\/3 + 318. Determine j, given that s(j) = 0.\nAnswer: -5, 0, 2\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1892*d + 901*d - 619*d)*(2*d - d - 2*d + (-4 + 3 - 1)*(-5*d + d + 2*d) - d + d - d + 2*d - 1 + 1 - 3*d + 3*d - d + 4*d + 0 + 0).\nAnswer: -11270*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3652.\nAnswer: 2, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l**2 + 88*l + 932. Determine w(-22).\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*l - 5*q + 2, -6 = 2*l - 3*q. Solve 4*f + 49 = -3*r + 67, -l*f = r - 11 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 1\/6*y**3 + 2 - 1\/2*y**2 - 2*y. Let v(k) be the first derivative of m(k). What is the derivative of v(p) wrt p?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -10. Let d = 0.373 + -11.373. Which is the third smallest value? (a) d (b) 2\/9 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 3 + 2*a + 5*a**3 + 0*a**3 - 4*a**3 to the form b*a**3 + p*a**2 + k + j*a and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 692*g**2 - 174*g**2 + 77*g**2 + 600*g**2.\nAnswer: 1195*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a week in minutes?\nAnswer: 55440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*a - 3*k + 2, -3*k + 7 = 2*a. Calculate the common denominator of 133\/24 and (-1 - 1 - 27\/66)\/a.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41.39 - -45.643. Let c = b + 1.137. Round c to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*s - 7713 = -47963. Calculate the greatest common factor of s and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120 (base 6) to base 8.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31154, -124424, -279652, -496658, -775262, -1115284?\nAnswer: -1516544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.6313 * -0.2.\nAnswer: -1.92626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1025 - 1025 - 11226*b.\nAnswer: -11226*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 520512331?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.61 and 83550.1.\nAnswer: 134515.661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10290 - 3776427\/367. Let o = 713\/2569 + u. What is the third smallest value in 0.2, o, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254984040 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -854 >= -855?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45820 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 14*n + 6. Let r be x(-14). Suppose -r = -q - 3. Suppose 0 = -5*g - q*a + 937, -4*a = -5*g - a + 913. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 22*a**5 + 45652*a**4 - 777576*a**3 + 1355348*a**2 - 560686*a - 62760 = 0.\nAnswer: -2092, -1\/11, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.04, 14, -148?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -125.077.\nAnswer: -625.385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 7:17 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -37*n**2\/2 - 11*n - 10672. Let b(k) = -19*k - 5. Give 7*b(p) - 3*v(p).\nAnswer: -22*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 459 and 297?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f**5 + 123*f**4 - 327*f**3 + 237*f**2 + 198*f - 216 = 0 for f.\nAnswer: -4\/5, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -481*j**2. Let x(h) = -2*h. Give a(x(i)).\nAnswer: -1924*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2352 and 64.\nAnswer: 9408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 2:43 AM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(800) + (5 + 0 + sqrt(800) - sqrt(800))**2) - sqrt(150)\/(2*sqrt(432))*3.\nAnswer: 100 + 635*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.232318556 rounded to 2 decimal places?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 514*k*r**2 + 74778*k*r - 1408*r**2 + 2*r - 34178 with respect to k.\nAnswer: 514*r**2 + 74778*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*1*5 + sqrt(720))*-1*3 + (-1*2*sqrt(720)*-4)**2*-1.\nAnswer: -46080 - 216*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 39 - ((28 - 11 - 19) + 12)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 378\/(-105) + 1\/(10\/(-4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 4*u = -h - 10, 25 = h - 5*u for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/2*(34\/6 + -3). Let y be ((-6)\/b)\/(6\/(-40)). Let s(t) = 4*t**2 + 14*t + 1. Is s(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.103 - -0.197. What is the smallest value in v, -4, -3\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3694608199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 7*q = -8. Let o(v) = -2*v + 4 + 0*v**2 - v**3 + 0*v**q. Suppose -b + 4*d = -3, -3*b + 0*b + d - 2 = 0. Let m(n) = 1. Calculate b*o(j) + 4*m(j).\nAnswer: j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 8:51 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4 + 0.4. Let q = i + -0.4. Which is the second smallest value? (a) -0.1 (b) q (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + h**2 + 7)*(-1 + 16 + 14) + 2 - 2*h**2 - h**2 + 2*h**2 in the form g + z*h + i*h**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100212 - -1?\nAnswer: -100211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 9*p - 1068. What are the prime factors of p?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -24*u**2 - u + 34948. Let s(y) = -16*y**2. Calculate m(s(x)).\nAnswer: -6144*x**4 + 16*x**2 + 34948","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -c**5\/5 + 8*c**4 - 96*c**3 + 8*c + 10. Factor z(n).\nAnswer: -4*n*(n - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-one halves of a millimeter?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*24\/(384\/(-16)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15 - -569?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22781, -45566, -68349, -91130, -113909, -136686, -159461?\nAnswer: -182234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154*u + 420 = 140*u. What is the fourth smallest value in u, -2, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -577*j + 574*j + 27 = 0. Solve -l - k = j, 3*l + 3 = l + k for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/3)\/((-1)\/3). Let c(r) = -r**2 - 5*r - 6. Let u be c(f). Let z(d) = -2*d + 4. Let l be z(3). Are u and l non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -236 - -233. Which is the third biggest value? (a) n (b) -1.5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 - b + b + (2*b - 1 + 1)*(2 - 2 + 2*b) - 3*b**2 + 4*b**2 + 0*b**2 + b**2 - 3*b**2 - b**2)*(b**3 + 3*b**3 - 2*b**3).\nAnswer: 2*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-666)\/(-51) - (-9)\/(135\/(-195)).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4577757?\nAnswer: 3, 73, 20903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1041)\/9*(-15)\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3 + (1 + sqrt(2))**2.\nAnswer: 2 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 42442132 (base 5) to base 14\nAnswer: 94bbc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -9*i**3 + 13490*i**2 - 433903*i - 48378 = 0.\nAnswer: -1\/9, 33, 1466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 94\/(-6768) - 3\/(-24).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -12. Let a = 6 + -2. Solve -p + c = a for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 752*f + 5*f + 1090*f + f + 5*f**2 + 809*f.\nAnswer: 5*f**2 + 2657*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5779\/3 - -1927. What is f in b*f - 2\/3*f**2 + 0 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3112609?\nAnswer: 3112609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6594611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -22. Let z(y) = -2*y + 9. Let b be z(7). Let l = s + b. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-509)\/(-14) + (-580)\/1624.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 8 = 26. Let k be 8\/(-36) - (-4)\/r. Solve k = l - 2*l - 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 103891 and 299?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 o, and 1 p when three letters picked without replacement from {p: 1, o: 5, k: 1, t: 2}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**4 - 154*w**3 - 124*w**3 + 258*w**3 - 2*w**2 + 1 + 2*w to the form q*w + o*w**4 + y*w**2 + l*w**3 + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2075 is divided by 361.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 - -7)\/(3\/6). Suppose -11 - 19 = -q*h. Put 2, -1, h in ascending order.\nAnswer: -1, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.981 - -14. Let r = f + -0.096. Let q = r - 35.423. Round q to the nearest integer.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of t*v**6 + 3*t*v**2 + 60*t*v + t + 309*v**5 + 1 wrt v.\nAnswer: 120*t*v**3 + 18540*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 483.19828 to the nearest 10.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/5 (b) 497 (c) 2\/15 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -w**7\/10080 + w**6\/2880 + w**4\/24 - 8*w**2. Let q(y) be the second derivative of t(y). Factor q(k).\nAnswer: -k*(k - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16*(-32)\/2560*10\/(-12).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -1.1. Let r = -6.06 + 0.06. Let g = r - -3. What is the biggest value in g, 4, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -41*f + 1159. Determine v(28).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 7.852\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2069 a factor of 70540438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -7 + 55*y**2 + 13 - 6 - 146*y**2. Let a(v) = 6*v. Give n(a(l)).\nAnswer: -3276*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 41*a**2 + 19*a - 5. List the prime factors of j(-4).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*x. Suppose -3*y - 2*y = x. Let p = -121\/2 + 59. Which is the third smallest value? (a) p (b) y (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1645*h**6 + 2431*h**2 wrt h.\nAnswer: 197400*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 99092333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6045, 21846, 47403, 82716, 127785?\n\"Answer: 4878*z**2 + 1167*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s**3 - 5*s**2 + 7*s + 17. Let b(q) = -9*q**3 - 15*q**2 + 20*q + 50. Let d(r) = 6*b(r) - 17*c(r). Is d(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**3 + 0*z**3 + 0*z**3)*(-2 + 2*z**2 + 2 - 5*z**2 + 3*z**2 + z**2 + (-5*z + 4*z + 2*z)*(-z + 3*z + 0*z) + (4 - 4 + 4*z)*(8*z - 3*z - 8*z)).\nAnswer: 9*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -4 + 5 + (14 - 11).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27845.7878 - 27786.8. Let g = b + -59. What is g rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11296815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -9*i**2 - 218*i - 277. What is n(-23)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 1. Let w(v) = 15*v**3 - 5*v - 5. What is -5*q(z) - w(z)?\nAnswer: -15*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -7 (c) 1 (d) 2 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 128 = -4*s, -5*s - 19 + 177 = -3*v. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -f**7\/168 + f**6\/360 + f**5\/120 - f**4\/12 - 4*f**3\/3 - 3. Let y(p) be the third derivative of z(p). Is y(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -253.9 rounded to the nearest ten?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**3\/5 + 22*i**2\/5 + 14*i\/5 - 294\/5 = 0.\nAnswer: -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 87?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -11*v**3 - 6651*v - 6. Let h(z) = 9*z**3 + 6649*z + 5. Calculate 6*h(i) + 5*l(i).\nAnswer: -i**3 + 6639*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -0.8 (b) 0.2 (c) 0.5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s**2*z**3 + 4*s**2*z**2 + 521*s**2 + 69*s*z**2 - 3*z**3 + 823 wrt s?\nAnswer: 2*z**3 + 8*z**2 + 1042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 8085?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -11*n + 47. Give m(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 346090, 692171, 1038252, 1384333, 1730414, 2076495?\n\"Answer: 346081*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-329)\/21 + 88\/33.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 435\/4 + -3053\/28. Which is the nearest to 0.2? (a) 2\/17 (b) 5 (c) z (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 322\/336139 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18190466831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 1 - 4) + (5 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4540600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.85 in 5, -2\/3, 2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m + 8. Let z be x(-8). Let d = z + -14. Let v be (-1 - 0)\/(2\/(-6)). Solve -3*p = d*b - 22, v*b + 3*p = 10 + 17 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 6264*q**2 + 182*q + 20. Let s(w) = 18790*w**2 + 548*w + 57. Let p(f) = -17*o(f) + 6*s(f). What is the second derivative of p(g) wrt g?\nAnswer: 12504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 537.4 - 540.4. What is the closest to 0.3 in -0.2, -8\/3, 0.6, k?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*n. Suppose n = -2*r + 4*r - 268. Suppose 6*f + 4*s - r = f, -5*s = -5. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -9, -2\/9, 1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/44*(3 - (-10)\/(-6))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3997 and 19019.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = b. Suppose -2*d + 4*w = 2, -4*d + 5*w + 1 + 1 = b. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 521478 or 521477?\nAnswer: 521477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 936*f**2. Let q(i) = 28*i**2. What is q(m(a))?\nAnswer: 24530688*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -9. Let s = -85 + 343\/4. Which is the third biggest value? (a) -0.03 (b) -5 (c) s (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, c: 2, n: 3}. What is prob of sequence nncs?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**4 - 2*v**4 + 0*v**4)*(2 - 2 - 1) + v**4 - 3*v**4 + 3*v**4 + (-2*v + 4*v + 4*v)*(4*v**3 - 5*v**3 - v**3).\nAnswer: -13*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.4905? (a) 3\/8 (b) -1\/12 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 320800, 324855, 328910?\n\"Answer: 4055*y + 316745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, k: 6}. What is prob of picking 4 w?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w + 14. Let y be z(6). Suppose -2*f = -6*f + o + 113, 2*f + y*o = 44. Let a = -15 + f. Calculate the remainder when 35 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3\/4 - 368853*t**2\/4 + 52331757*t\/4 - 1857240507\/4.\nAnswer: 3*(t - 122809)*(t - 71)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2162*s + 8650. Let v be l(4). Let r(g) be the third derivative of -2 + 0*g - 1\/35*g**6 - 1\/14*g**4 + 1\/10*g**5 - 8*g**v - 1\/7*g**3. Factor r(y).\nAnswer: -6*(y - 1)**2*(4*y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3*t + 12 = 0, -3*t + 7 = -2. What is the tens digit of -1 - (1 + s - 24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.18765 (b) 0.2 (c) -0.1 (d) 6 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/675051 and -2\/19131.\nAnswer: 4725357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + d = -4*a + 12, 0 = a + 2. Let p(u) = -u**2 + 6*u + 1. Determine p(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -7*b - 4*b - 6 + 8*b. Let k(j) = j + 1. Give -4*k(v) - w(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 q when two letters picked without replacement from qrqtqqtrkjqlqlqqt?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 796 + -341. Suppose 5*d = 0, 4*f - d = 293 + g. Does 17 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78299, 313190, 704669, 1252730, 1957367, 2818574, 3836345?\nAnswer: 5010674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((5320\/30)\/28)\/((5\/(-318))\/(-5)) is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -50*t**9\/63 - t**5\/20 + 19*t**4\/12 - 137*t**2. Find the third derivative of v(n) wrt n.\nAnswer: -48000*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -18*i + 28*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1329, -2830, -4427, -6120, -7909, -9794?\nAnswer: -11775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 29*s**2 - s. Let x be m(1). Do x and 27 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.67924 kilometers to nanometers.\nAnswer: 59679240000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -68*o + 402. Let p = 6233 - 6227. Calculate l(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 481\/(-4))\/((-22295)\/(-17836)). Solve 87*o - 80 = t*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.14 (b) -2\/15 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37 + (39 - 72))*(-2)\/12?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/8)\/17 + ((-16)\/32)\/(472\/(-220))?\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 72. Let f = n + 99. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 11:45 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1603 and 602.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-7)\/f)*f**(1\/3)*f\/((f*f**(-1\/3))\/f)*f**4)**(-4\/11) assuming f is positive.\nAnswer: f**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -3 (c) -7 (d) 1\/3 (e) 71\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10 and 9677797.\nAnswer: 96777970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 5*t - 5*t)*(-2*t - 2*t + 3*t)*(-3 + 3 - 2).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 321197333 to the nearest integer?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110001011001001 (base 2) to base 5.\nAnswer: 1302124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4339 - 4339.2. Is z != 5.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 - 25. Suppose r = x*r. Let -10 + 5*k**3 + 12*k + r*k**3 - 27*k = 0. Calculate k.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 31*y**2 + 339*y - 26. Let r be w(-11). Put -0.3, r, 0, -1\/2, -5 in ascending order.\nAnswer: -5, r, -1\/2, -0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -1. Suppose 2*u = -4, -3*x = -2*x + u. Suppose -4*g - p = -x*g. Which is smaller: 1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -k**3 - 5. Let m(i) be the third derivative of i**4\/8 + i**2. Calculate m(p(a)).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fu when two letters picked without replacement from rfrursfrrrrrr.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r**2. Let j(z) = 51*z + 58*z - 109*z + 20*z**2. What is f(j(x))?\nAnswer: 1600*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58731466.\nAnswer: 2, 23, 1276771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/3)\/(z*z**(-3\/2)*z))**(-5) assuming z is positive.\nAnswer: z**(35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -r + 5*r - 8, 5*r = -5*s + 35. Is 0*s\/(-28) - -11246 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 84 = 32*i. Suppose 2*c + 8 = -2*c. What are the prime factors of 165\/c*(5\/3 + i)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 701 = 5*i, 4*i - 811 = 2*k - 249. List the prime factors of i.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.016 and -263.42730464104?\nAnswer: 263.41130464104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 3*h = 41, 317 = 4*v + 3*h + 390 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3127956.23 to the nearest one thousand.\nAnswer: 3128000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-1)\/(-6)*3). Suppose t*q - 11 = -5. Let o be 74*q\/(3 + 0). What is o rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**6\/6 + 4*m**5\/5 - m**4\/4 - 10*m**3\/3 + 2*m**2 + 8*m - 68. Determine c so that w(c) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.411 + -0.411. Let p = 2\/5 - 19\/10. Which is the nearest to -0.1? (a) m (b) p (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57 - 0. What is the remainder when d is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -46536*v + 1256476. Determine a(27).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 55828?\nAnswer: 223312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 404410.7 to the nearest 1000.\nAnswer: 404000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/88 and -38\/55.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 6*z**3 + 2*z**2 - 1 + 10*z**3 - 15*z**3 - 3*z**2. Let h(g) = -g**3 + 12*g**2 - 12*g + 11. Let a be h(11). What is o(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -4*t**5 - 4*t**4 + 80*t**3 - 64*t**2 - 256*t + 320 = 0.\nAnswer: -5, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1237 + 263?\nAnswer: 1522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 6*l + 3. Let g be d(6). Let p = -582 - -585. Let q be (3\/2)\/((-3)\/(-2)). Which is the closest to p? (a) q (b) g (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/1090 and 3\/1655.\nAnswer: 360790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 >= 80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12 (b) -0.1 (c) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 2:39 AM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -5) + (2 - (0 + 2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -7275*y**3 - 2 + y - 3685*y**3 - 3. Let w be z(5). What is w rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-4)*(-138)\/3. Suppose 0 = 4*q + y - 12, -3*y - 3 = -4*q - 7. Are x and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 224709 to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rlllalpww. What is prob of sequence ral?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-182)\/(-175)*5*(-7900)\/(-2054)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1221 (base 4) to base 16\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 179*t + 111*t - 46*t to the form n*t + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 266287687 a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*w + 7*w + 0*w)*(-5*w + 2*w - 2*w**2 + 0*w**2)*(1 - 1 + w).\nAnswer: -38*w**4 - 57*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ixx when three letters picked without replacement from {g: 1, i: 7, m: 1, x: 4, z: 1, c: 4}?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (70\/(-63))\/((-210)\/756)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1304820?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 492863341 to the power of 1\/5, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2683114*h**3 + 4*h**2 + 78927659 wrt h.\nAnswer: 8049342*h**2 + 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 7. Calculate the remainder when x is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3*sqrt(51)\/sqrt(3)*6 + -1*(1 + sqrt(1377)) + -2)**2.\nAnswer: -54*sqrt(17) + 12394","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.01 - 3.01. What is the smallest value in a, -3\/4, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 10 + 2, -h - 4*m = -54. Suppose 0*l - h = 3*l - y, 4*l - 3*y + 54 = 0. List the prime factors of 8\/l + (-23)\/(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14.6 + -15. Let w be 8\/14 - 0\/(-5). Let i = -95\/4 - -673\/28. Which is the third biggest value? (a) r (b) w (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -623.7 + 618.7. Suppose w + 9 = 4*w. Suppose -2*j = 5*u - j + 18, 3*u = -5*j - 2. Sort m, u, 2, w in decreasing order.\nAnswer: w, 2, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 11*f + 8. Let y = 102946 - 102957. Let o(b) be the second derivative of 2*b**3\/3 - 3*b**2\/2 - b. Give y*o(s) - 4*p(s).\nAnswer: 4*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k**4\/4 + 175*k**3\/4 - 420*k**2 + 135*k = 0 for k.\nAnswer: -18, 0, 1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/3, -1, -52, 0.57 in descending order.\nAnswer: 0.57, -1, -5\/3, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g - g + 0*g. Let a(l) = 5*l - 5*l - 2*l**2 - 13*l**2. What is a(y(t))?\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3737 + -3736.6. Let k = 1 - 6. What is the fourth biggest value in k, c, -0.1, 2\/13?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -187 + 187. Suppose f = -6*r + 4861 + 3983. List the prime factors of r.\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 490*a - 97052. Give i(198).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -169 - -189. Let g = b + -27. Put -3, 4, g in increasing order.\nAnswer: g, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22639 is divided by 1018.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c**2. Let g(q) = q + 3*q + 18 - 15*q**2 + 16*q**2. Let l be g(-8). Let t(u) = 2 - 2 - l*u**2 + 47*u**2. What is j(t(w))?\nAnswer: -27*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81 - 54. What is the smallest common multiple of t and 63?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*2*(12\/2)\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75526b (base 12) to base 10.\nAnswer: 1854515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 48\/5 of a millisecond?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(3) + sqrt(21)\/sqrt(7)) - sqrt(56)\/(sqrt(8)*4))**2.\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 3:51 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18630 and 4485.\nAnswer: 242190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/701208 and -23\/1012856?\nAnswer: 9115704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 + 52. Let v(s) = -4*s**2 - 127*s + 75. What is the least common multiple of v(-31) and c?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1083514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4963955*h**5 + 80729*h**2 + 85*h wrt h.\nAnswer: -297837300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18304219 to the power of 1\/2, to the nearest integer?\nAnswer: 4278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 139\/101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + sqrt(1568) + (sqrt(2) - (sqrt(14)*-4)\/sqrt(7))**2 + (((sqrt(162) - sqrt(2)) + 0)**2 - sqrt(2) - (sqrt(288)*-1 + sqrt(288))).\nAnswer: 28*sqrt(2) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8a0 - -1?\nAnswer: 8a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 15*u**3 - u**2 + 2*u - 2. Let w be l(1). Let j be w*10\/35*1. Calculate the remainder when 159 is divided by ((-81)\/j)\/((-3)\/8).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.091726 to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 342\/(-96) + 6\/2. Let w = m + 13\/16. Solve -1\/4*z**2 + 0 + 1\/2*z - w*z**3 = 0 for z.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2535 - 0.1735. Sort v, -2\/21, -0.3, -1\/5.\nAnswer: -0.3, -1\/5, -2\/21, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25266 (base 7) in base 11?\nAnswer: 5008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -37649, -2, 51 in decreasing order.\nAnswer: 51, -2, -37649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 7*r = 18. Suppose 2*y = r + 1. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(33)\/sqrt(3) - sqrt(11))*1)**2 + sqrt(396)*-3*5 + -1.\nAnswer: -90*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27*6\/36*(-6)\/(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 2250?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*o + 21, 0*o - 3*f = 2*o - 33. Find c, given that o*c**3 + 6*c**2 - 4*c + 3*c**2 + c = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-5))\/((-28)\/(-70)). Suppose -k + 9 = w, -h*w = 1 - 17. Suppose -2*c - p + 8 = 0, 0*p - k*p + 8 = 2*c. Solve 3 = c*f - f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1095\/7 - -159. What is the nearest to -5 in s, 2, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - -7. Suppose 2*z + 4*f - 44 = 0, -2*z - 4*f - 40 = -3*z. Calculate the remainder when z is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97364.64 days to minutes.\nAnswer: 140205081.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -16150849 + 4*l + 16150726 - 18*l. Give n(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (0 + sqrt(2) - sqrt(2)) + (sqrt(80)\/sqrt(5))\/sqrt(8) - (sqrt(180)*-4)\/((sqrt(120)\/sqrt(4))\/sqrt(3)))**2.\nAnswer: -130*sqrt(2) + 363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 8:26 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1683, 8529, 23187, 48315, 86571, 140613, 213099?\n\"Answer: 443*c**3 + 1248*c**2 + c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 8:41 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137032652 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 4*o**2 - 2*o - 1. Let g be r(1). Let l(z) = g*z**2 + 0*z**2 - 7*z**2 - z - 2*z**2. Determine l(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/7 (b) -2\/5 (c) -3 (d) -42047\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56.8 - 446.8. Let u = d + 389.999533. Round u to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 9:26 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 232\/153 - 22\/17. What is the smallest value in 2, x, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**5\/4 + 43*b**4\/4 + 139*b**3 + 500*b**2 + 696*b + 324 = 0. Calculate b.\nAnswer: -6, -2, -1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**26*j)\/(j**(-27)*j)*(j*j\/(j**(-2\/3)*j)*j)\/(j\/(j**(-6\/7)*j)) assuming j is positive.\nAnswer: j**(1172\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 278\/(-1390) + 4 + 789\/(-105) + 10\/5.\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.71596l to millilitres.\nAnswer: 51715.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**4\/3 + 14416*p**3 + 233841932*p**2\/3 + 155851376*p + 233755442\/3 = 0.\nAnswer: -10811, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*p + 593*p - 156*p.\nAnswer: 530*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 5*c - 330, -c - 82 = -4*s + 162. Calculate the remainder when s is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -10*c**5\/3 + 121*c**4\/6 - 130*c**3\/3 + 223*c**2\/6 - 22*c\/3 - 10\/3 = 0?\nAnswer: -1\/5, 1, 5\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 5:30 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.2 - 4.684. Let v = 0.51028 - r. Round v to 4 dps.\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 6*o = -o - 10, -4*o + 8 = -x. Let u be (x\/1 - 1)*2\/(-2). Let q = 0.11 - -3.89. Which is the third smallest value? (a) u (b) q (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**2 - 4*o**2 - 2*o**2)*(12*o**2 - 13*o**2 - 78*o**2) + 7*o**3 - 2*o**4 - 5*o**3 - 2*o**3.\nAnswer: 156*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.5? (a) 279 (b) -0.052 (c) 1 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 120998831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00328168 to four decimal places.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1958, 1962, 1968, 1976, 1986, 1998, 2012?\n\"Answer: r**2 + r + 1956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5472108 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59273489.\nAnswer: 11, 2129, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-332)\/(-24) - 14) + (-59)\/6. Let f be (10 + 8 + -15)*k\/(-3). Solve 0 = 7*q - 9*q + f for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 12*r - 44 = 0. Let g be ((-2)\/(-2) + 2)\/(-1). Put -2, g, r in increasing order.\nAnswer: g, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2016)\/17496)\/(-4)*(-2)\/(-5)*(-32 - -2) and (10\/(-18))\/1*1.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u**2 + 4*u - 24. Let d(c) = c**2 + c - 5. Let y(p) = -3*a(p) + 14*d(p). Let r = -2 - -6. Let l(b) = -1. Give r*l(j) + y(j).\nAnswer: 2*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 644394508 to the nearest integer?\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, k: 1, g: 1}. What is prob of picking 1 k and 1 g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 287459698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (3 + -2)) + -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of 5*x**3\/6 - x**2\/2 - 2*x. Let u(l) = -16*l + 4. Let z(n) = 7*h(n) + 2*u(n). Let t be (1 + 9\/(-3))\/(-1). What is z(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*c - 47*c - 2054 = -210*c for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(-42))\/((-3 + 0)\/(-6)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*b + 20. Let a(o) = o**3 + 4*o**2 + 7*o + 5. Let m be a(-6). Let k be 2\/4 + m\/(-2). What is the greatest common factor of b and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21000437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 5:47 AM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 135\/((-810)\/348)*3*9\/18.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -42. Let q = -25 - o. Suppose 3 = x - 0*x. Put 0, x, q in decreasing order.\nAnswer: q, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 6*h + 3*q + 3117, 5*h = -3*q + 5235. Suppose -h = -5*m - 2*v, -v = -5*m + 612 + 426. What is the greatest common divisor of m and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that f**2 + 14*f + 13 = 0.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0674800964 to four decimal places.\nAnswer: -0.0675","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 127 = 5*s, r = -5*s + 3*s + 28. Solve 21*n = s*n - 36*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 13 + 15. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 2 - 14, -13*p - 2082 = -3*w - 2200 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**2 + 1065083490*o - 94533570055881675 = 0. Calculate o.\nAnswer: 177513915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*a - 12*a + 40. Let x be a\/36 - (-277)\/9. Is 32 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4138.703 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 270139760 by -20296.\nAnswer: -13310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1065865474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/39 and -155\/78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of s**6\/120 + 13*s**5\/60 - 29*s**4\/24 + 5*s**3\/2 - 4*s**2 - 63*s. Factor f(o).\nAnswer: (o - 1)**2*(o + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -144915 and 3.\nAnswer: -434745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**4\/24 + 10*n**3\/3 - 13*n**2. Let v be m(5). Suppose 1 = -l + 5*k + v, -4 = 4*k. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 111cc8?\nAnswer: 111cc9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 31, 63, 107?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1160 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 11:39 AM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -11*o**3\/9 - 485*o**2\/3 - 176*o\/3 + 4780. Suppose r(x) = 0. Calculate x.\nAnswer: -88, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-13 + 28 + -2) - -10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1ec + 15b58?\nAnswer: 15d55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15.364 and -9?\nAnswer: -138.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16944 = -1345*x - 23406 for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + p + 2. Let j(b) = b**2 + 1. Let m(g) = 4*j(g) - 3*o(g). Let a be m(4). Find the second derivative of -3*y**2 + 2*y - 3*y**a + 4*y**2 wrt y.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 28a827317 - 1?\nAnswer: 28a827316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 3. Let u be 1\/(k\/(-2)) + 166. Suppose 205 = 5*t - 3*d - 0*d, -5*d = -4*t + u. What is the remainder when t is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 84*b - 5. Let r be o(4). Suppose 3*f = -25 + r. Suppose 5*t = 123 + f. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9167 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6111 * -3.7.\nAnswer: -22610.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 f when two letters picked without replacement from {t: 1, f: 3, g: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*a - 3386 - 2620. Let z = -482 - a. Suppose -3*i + 7*i = 0. Sort 2, i, -2, z in descending order.\nAnswer: 2, i, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10537724 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -61730.768 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 22*h - 48125 = 5566. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {z: 1, a: 2, b: 1, u: 5}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -26*r - 4. Let m be d(-3). Suppose -l + m = l. Suppose 4*i - l = 5*a, -4*a - 33 = -4*i + 3. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6443081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 12:09 PM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n + 4*p + 12, -4*p - 6 = 3*n + 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29115 divided by 5?\nAnswer: 5823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/2)\/((-8)\/22). Suppose -5*o + 4 = -3*a, -58*o = 2*a - 57*o + 7. Does j = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13.5521 + -0.0721. Round v to zero dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -57363*g - 458910. Give u(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -0.3 (c) 13773 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3926.814 + -3889.059564. Let c = a + 34.245593. Let v = 72 - c. What is v rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*t**2 - 26*t**2 + 8*t**2 + 9*t**2 - 296*t**3.\nAnswer: -296*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4698\/7 - -102719\/154. Let s = -5517\/122 - -44\/61. What is the common denominator of s and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 192, 367, 538, 705?\nAnswer: 868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/((-1)\/4 - 24\/32). What is the closest to 2 in 0, -0.3, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*o + 72*k - 74*k - 1, 5*o + 3 = 2*k - 16 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -462149 (base 10) to base 14.\nAnswer: -c05c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 79139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 600546263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/142 and -35\/156.\nAnswer: 11076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4901.9 + 4902. What is the closest to d in -1, 5, -10, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-12))\/(-4 - (-87)\/21). Let v(i) = -3*i - 2 + 2*i**2 - 2*i - i**2. Let a be v(5). Are h and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 6364 = -14*m. Let k = m - -5697. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 40\/1061713?\nAnswer: 40\/1061713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2203010101 (base 4) in base 9?\nAnswer: 1227184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -39, -2809*d + 9 = -4*o - 2808*d for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -453 - -811. Let s = z - 356. Let w = -0.2 - -0.2. Sort -2\/3, s, w.\nAnswer: -2\/3, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 8:24 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -2*a. Suppose 8 = -a*s + 2*s. Suppose w = s*g - 35 - 43, -4*g = -5*w - 86. List the prime factors of g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1260 = -4*c - 4*h + 1312, -4*c = -3*h - 2558. What is the third derivative of -667*t**4 - 3 + 3 + c*t**4 - 43*t**2 wrt t?\nAnswer: -624*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -83, -64, -27, 34, 125, 252?\nAnswer: 421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -6490249\nAnswer: -1\/6490249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -600\nAnswer: 3000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -m - 2*h + 18, 4*h - 32 = -3*m. Let q(y) = -y**2 - 4*y - 3*y**3 + m*y**3 + 3*y - 1. Let j be q(3). What is the greatest common factor of j and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 11:51 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22221 (base 3) to base 10.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**3)*w\/w**3)**(-3)*(w**(-1\/5)\/((w\/(w*w**(3\/4)*w*w))\/w))\/w**(-29\/2) assuming w is positive.\nAnswer: w**(661\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 - (51 + -21) - (1 - (0 + 3 + 19))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 - -37.999999658. Round t to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*363.\nAnswer: 2178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76134183?\nAnswer: 3, 25378061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*b = 270, 0*n - 5*n + b = -675. Are n and 135 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 - 218 = -58*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/4 of a litre in millilitres?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-1\/4))\/f)**(-15))**(-3\/5) assuming f is positive.\nAnswer: f**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 412739507.\nAnswer: 412739507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*l = -49, 4*l = 4*z - 0*l + 68. Let m = -13 - z. Suppose -w - w = 10, -2*p - 1055 = -m*w. What is p rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1804173187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/6*(-1 + -2) + 4. Solve 3*o - c = z - 4, -2*o - 6 = -2*z for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21676169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 66586 a multiple of 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15158 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -r + 5*g + 8, -3*r + g = 3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 8*p + 2. Let q be a(8). Suppose 2*x + x + 3*d = -6, 0 = -2*x + q*d + 4. Let m(w) = x - 8*w - 1 + 4 + w**2 + 2. What is m(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22102143 (base 6) to base 15.\nAnswer: -d0ec0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**4 + 3*x**3 - 3*x**3 + (x - 2*x - x)*(-5 - x**3 + 5).\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3088041 by -3.\nAnswer: 1029347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of x**4\/8 + 3*x**3\/2 + 2*x**2 - 11*x - 163. Let w(n) be the second derivative of a(n). Give w(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*r - 16 = 0, -j = -2*r - r + 12. Suppose -5 = -2*n + 7*n + 2*u, -5*n - 3*u - 10 = j. Put -4, 7, -2, n in descending order.\nAnswer: 7, n, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186 = -3*g + 129. Suppose -2*p + 3*u + 60 = -9, 0 = 3*p - 4*u - g. What are the prime factors of p?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -60 - 45. Let i be ((-28)\/6 - 2)*w. Round i to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59580.29 + 58923. Let s = -661 - v. Round s to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*g - 114*g - 60 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3148.\nAnswer: 2, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/44 and -49\/61948?\nAnswer: 681428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n. Let w(b) be the first derivative of -33*b**2 - 93. Give w(h(m)).\nAnswer: -66*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-355*x + 67 - 68 + 307*x)*(x + x + 0*x)*(3*x + 0*x - 2*x).\nAnswer: -96*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -36 + 4. Let y = 13 + l. Let k(m) = m - 4*m + m + 2. Calculate k(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 28*a**2 + 5*a - 7. Let f(o) = 55*o**2 + 11*o - 15. Calculate 6*f(m) - 13*r(m).\nAnswer: -34*m**2 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(2\/(-5)*(-90)\/(-36))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**3\/21 + 4368638*b**2\/21 + 113601282438*b + 795207520854\/7 = 0 for b.\nAnswer: -1092159, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 6) + 11 + -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 5. Let h be m(4). Let a be -2*h\/(-1)*1. Suppose 0 = 5*c + 5*i - 45, 17 = 3*c - i - a. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -1, -12, 3 in ascending order.\nAnswer: -12, -9, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15814?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -34321002 (base 6) to base 8\nAnswer: -4007632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -5. Let m = 40\/51 - 2\/17. Suppose 90 - 486 = -99*p. Which is the closest to m? (a) f (b) p (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 79354 and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 332 - 1\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 230 - 92. Suppose -a = -5*h + 67. Suppose 0 = -t - 3*b + 32, 2*b = -t + h - 9. Calculate the remainder when t is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*s - 5, 0 = -4*h - 3*s - 1. Let u(c) = c + 12. Calculate the smallest common multiple of h and u(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*s**2 + 4*s**2 - 5*s**2 + 66*s**2 + s wrt s?\nAnswer: 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {z: 6, c: 3, m: 4}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, c: 3, i: 5, d: 3}. Give prob of sequence dcd.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 231526?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13659 and 9420.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3305\/63 - -404\/9. Let y = -11676\/515 - -3324\/103. What is the common denominator of n and y?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (12 + -11 - (-18 - 6))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 306, -2, 4 in decreasing order.\nAnswer: 306, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -6*q - 57. Let r = -57 + q. Suppose -4 = -4*a - 3*g, r = -a - 3*a + 2*g + 4. What is the highest common factor of 1 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*z = 5, -4*a = -4*z - 52. What is the highest common divisor of 36 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(6*sqrt(22)\/sqrt(2) + -5 + -4))**2.\nAnswer: -2700*sqrt(11) + 11925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 13584*t**3 + 32*t**2 - 5*t - 24. Let d(y) = 4526*y**3 + 10*y**2 - 2*y - 9. Let j(c) = -7*d(c) + 2*h(c). Find the third derivative of j(b) wrt b.\nAnswer: -27084","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k**2 + 8147*k + 8144. Determine o(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/6 and 61\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16859.\nAnswer: 23, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -42292 divided by 4?\nAnswer: -10573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13b70 (base 13) in base 10?\nAnswer: 37102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + sqrt(192) + sqrt(192)*4) + (-1 + sqrt(3))*4 + (sqrt(48) + sqrt(48)*1)**2.\nAnswer: 191 + 124*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 10*r**2 - 4. Let n be q(9). Let y be 35\/(-28) + 1 - n\/(-4). Suppose -16 = -23*b + y*b. Solve -a + 10 = b*a, 0 = -3*l - a + 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/((a\/a**(-2\/5))\/a)*a)**(-44))**24 assuming a is positive.\nAnswer: a**(-13728\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p - 7*p + 11*p + 9*p + p**3 + 8*p**2 + 10. Let z be m(-4). Solve -t - o = 4, -4*o - z = 5*t + 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -5*a + 4*q, 0 = -2*a + 20*q - 22*q - 12 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21.5 - 126.5. Let n = -105.00059 - s. What is n rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/3 - 15\/(-9). Suppose -5*p - 6 = 4*k + 4, 7 = -4*p - 3*k. Suppose 4*x = 5*i - 36, i = p*x + g*i + 4. What is the nearest to -2 in 1\/5, x, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26220 divided by -15\nAnswer: 1748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 937508851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 11*m + 6. What is q(10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2404 - -2404. Which is smaller: 1\/2580 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -590381, -590351, -590325, -590303, -590285, -590271?\nAnswer: -590261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2958442 or -2958441?\nAnswer: -2958442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16536509.2671 from 206.\nAnswer: -16536303.2671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5660, -11322, -16952, -22550?\n\"Answer: 16*d**2 - 5710*d + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-693)\/(-28) + (-14)\/8 + 1. Suppose -g*x + 8388 + 16932 = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times -9451\nAnswer: -378.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 6:38 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 69253224 a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*t**3*z**2 + 823070498*t**3 + 4*t**2*z**2 - 85*t**2 + 16*t*z**2 + 31535*t*z wrt t.\nAnswer: -12*z**2 + 4938422988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -29.5 times -0.4\nAnswer: 11.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17901.24 months to millennia.\nAnswer: 1.49177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -196, -393, -592, -793, -996, -1201, -1408?\n\"Answer: -p**2 - 194*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216314598 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16 + 26 - 31)*(-6 + 5 - 3)*(5*a + 623 - 623) to the form n*a + q and give n.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116 + (382 - 260) + (-46 - 1).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95131717*-0.1.\nAnswer: -9513171.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 3, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 343*t**2 + 77*t + 77. Let f(l) = 21*l**2 + 4*l - 32. Let c(r) = -16*r**2 - 3*r + 27. Let n(m) = -6*c(m) - 5*f(m). Calculate 77*n(d) + 2*v(d).\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a - 294214*a**2 + 55*a**3 + 294216*a**2 - 3 + 1 to q*a**3 + d*a**2 + u*a + v and give q.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29558550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 6*t - 3. Let n be z(7). What is the remainder when 101\/2 + (-10)\/20 is divided by -2*(0 - (-85)\/n)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than or equal to -3.1546?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g + 0*g + g)*(5*g**3 - 3*g**3 - 4*g**3) - 23*g**4 - 22*g**4 - 43*g**4 in the form i*g**4 + b + j*g**3 + w*g**2 + n*g and give i.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxqxppxxmxm. What is prob of picking 1 x, 1 p, and 2 m?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 66?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r + 21. Let v be -17 + 18 - 1*10. Let q be l(v). Suppose -2*o - 20 = 3*o, 3*x = o - 11. Which is greater: x or q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -s**8\/336 + s**5\/15 + 187*s**4\/12 - s**3\/6 + 415*s**2. Find the second derivative of o(q) wrt q.\nAnswer: -20*q**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 at least as big as 271?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (-7 + 5 + -1 + -3 + -1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -1173, -324 in ascending order.\nAnswer: -1173, -324, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d. Let u(b) be the third derivative of -b**7\/2520 - b**5\/60 - b**2. Let t(a) be the third derivative of u(a). Calculate v(t(j)).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356 is divided by 162?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1198.08049 + -0.20049. What is x rounded to the nearest 10?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3 + 1)*(-1542 + 2464*x + 1542 + (-3 + 2 + 2)*(-3*x + 5*x - 4*x))*(x**3 - 2 + 2) as p*x**2 + a*x + d + z*x**4 + b*x**3 and give z.\nAnswer: -9848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, i: 15}. Give prob of sequence ttit.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29068 = 614*x - 20257 + 13099 for x.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -423 - 358 = -71*k for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -w**5\/20 - 3*w**4\/4 - 7*w**3\/3 - 9*w**2 - 38*w. Let x be p(-8). Let f = 68 - x. List the prime factors of f.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1577951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111011110 + 1?\nAnswer: 111011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**8\/420 + 4*o**7\/105 - 8*o**6\/45 + 2*o**3\/3 + 39*o. Let m(w) be the second derivative of d(w). Let m(q) = 0. What is q?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 4:15 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 + 21126*w + 37192323.\nAnswer: 3*(w + 3521)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 28. Let k be (-40)\/(-4)*(-21)\/6. Let l = -13 - k. Solve l - 7 = 5*n, -5*n = 2*y - z for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + 65 + (86 - 246)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1868 - -465131\/249. Is z smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.19 - 3.19. What is the third biggest value in h, -14\/9, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 0*b**3 - 5*b + 0*b**2 + 0 + 1\/10*b**6 + 0*b**5 - 1\/4*b**4. Factor c(t).\nAnswer: 3*t**2*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-26 + (-11160)\/(-450))\/(50026\/50030 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29441 and 30439?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 72729963128.\nAnswer: -72729963125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72*g**3 + 67*g**3 + 136*g**2 + 100*g**3 wrt g.\nAnswer: 570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b. Let d(v) = 4*v + 5. Let w(z) = -2*z - 1 + 2 + 3*z + 0. Let i(q) = -d(q) + 5*w(q). Give i(f(h)).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 0*h**2 - 3*h**2 - 6*h - 3 + 2*h**2. Let a be q(-5). Suppose 4*r - a*r - 50 = 0. 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: Which is the closest to 2\/3? (a) 4 (b) 11 (c) 40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 (base 14) in base 9?\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*1)\/(104\/780*1230)?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 - 1)*(-1 + 1 - 4)*(-3*r + 2*r - r + 1) to z*r + d and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**5 + 3*v**5 - 4*v**5 - 177789*v**4 + 177789*v**4 - 87*v**5 + 4*v**3 + (v**5 - 2*v**5 + 0*v**5)*(2 - 1 + 1).\nAnswer: -88*v**5 + 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0304621438 to 5 decimal places.\nAnswer: 0.03046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -26*l - 109. Let f be i(-4). What is the closest to 0.1 in f, -3\/2, -4\/5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -11*r + 69. Let z(a) = -9*a + 1 + 3*a + 3*a - 16*a. What is the lowest common multiple of o(5) and z(-1)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 212621142 times -0.2\nAnswer: -42524228.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 854 - 847. Let q(l) = l**3 - 5*l**2 - 14*l + 17. Calculate q(b).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -534133, -534144, -534165, -534196, -534237, -534288, -534349?\n\"Answer: -5*v**2 + 4*v - 534132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 0.5, -3\/146?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9860\/220 + -1 + 13\/11. Suppose -4*h - z + l = -h, 75 = 5*h - z. Let b = 10 - 5. Solve b*j + 6 = 3*f - 9, -3*f = 2*j - h for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.533 * -0.0859\nAnswer: -0.0457847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*z + 20 = 0. Suppose z*u + 2 = 2*a - 20, -5*u - 28 = -3*a. Is a\/15 - 1278\/(-30) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 130961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-4)*(7 - 3). Suppose -t + 2*t + b = -5*v, 7 = 3*t + 2*v. Let y(d) = 2*d - 4*d**2 - 3*d**3 - 2 - 6*d + d**t. Determine y(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*j + 1 = 0, l = 3*l - j - 19. Let f = l + 1. Calculate the remainder when 16 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-3\/10)*m))**42\/(m**0\/m*m*m**(-16)) assuming m is positive.\nAnswer: m**(143\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 918 and 86445.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -y**5\/30 - y**4\/6 - y**3\/3 + 5*y**2. Calculate f(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1163, -0.16, -9, 0.2 in increasing order.\nAnswer: -9, -0.16, -0.1163, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3 + 2025*n**2 + 106578*n - 108600.\nAnswer: -3*(n - 724)*(n - 1)*(n + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 9*p - 162. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 o when three letters picked without replacement from rooorgrrrxrr?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 207309472 to the power of 1\/2, to the nearest integer?\nAnswer: 14398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31\/15 + 667\/120. Calculate the common denominator of u and ((-1)\/(-3))\/((-1)\/29).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 376 - -9 - (0 + 3). Suppose 34 = -4*d + i. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5586)\/(-21)*((-25)\/2)\/(-5). Let q = i + -80. List the prime factors of q.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4591 - 181667*s + 4591.\nAnswer: -181667*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -249, -258, -281, -324, -393, -494, -633, -816?\nAnswer: -1049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -18, 4, 0, 3 in decreasing order.\nAnswer: 5, 4, 3, 0, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*j - 92*j = -16. Sort j, 1, 0, 2.\nAnswer: 0, 1, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-18)*172\/(-860))\/((-1)\/2).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 299 - 302. Suppose -3*x = -8*x + 5, 3*x = -5*s - 22. Is 7 a factor of s\/((-30)\/(-16))*z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 22691 + 13402. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -453000 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -1220*i - 2*i**2 + 1246*i + 3 + 3*i**2 + 2. Let p be h(-26). Solve 10 = 4*u - p*b, 2*b = 3*u - 2*u - 1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 2*o - 30, 4*b - 44 + 13 = 3*o. Suppose 3*s - 16 = -4*p, 0 = p + 2*s + 3*s - b. Solve 0 = 3*n - p*n + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 56 = 4*b, 2*b + 15 = 9*i - 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 689.2213 weeks?\nAnswer: 115789.1784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 2 + 4 + -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44256 + 137149. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + 2 - (-1580 + 1542)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2\/((-9 + 0)\/(-729)) and 2.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 12 = -6. Suppose -n*z = -0*z + 4. Sort -1, -0.4, z in descending order.\nAnswer: -0.4, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17 and -1.972266?\nAnswer: 33.528522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24130 + 4?\nAnswer: -24123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 21 = 1. Suppose n*z - 24 = -0*z. Calculate the greatest common factor of z and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 21?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 divided by -835?\nAnswer: 27\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.347761ml in litres?\nAnswer: 0.001347761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 362484, 724770, 1087048, 1449318, 1811580, 2173834?\nAnswer: 2536080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -220.48 + 178. Let n = 3.28 + y. Let j = -32 - n. What is j rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -1083?\nAnswer: 1081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 441 divide 2582637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3 + (-1 + sqrt(147) - sqrt(147)) + 2 + 5)**2 + 2)*6.\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6789 times -752?\nAnswer: -5105328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -444 + 413. Let w be (-6 - a)*(-2)\/(-14 + 0). Suppose -2*x - o + 7 = x, 25 = -5*o. Which is greater: x or w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74033.75 millilitres in litres?\nAnswer: 74.03375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27119417 is divided by 2573.\nAnswer: 2570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 11:14 AM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 306853, 0.5, -2\/5, -2\/7, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-8)*6 - 0. Let k(p) = p**3 - 20*p**2 + p - 16. Let w be k(20). Let w*h**s - h**3 + 3*h + 0*h - 6*h**3 = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 203 + 38. Suppose 2*n + 3*k - 208 = 0, -4*n - 5*k = -j - 179. Suppose -8*p = -3*p - n. What is the smallest common multiple of p and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 7*k + 8. Let m be p(6). Suppose -4*y + m*l = -14, -4*y + 2 = -3*y + l. Solve 0 = 3*j - y - 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -261365888.0848 and -1.9?\nAnswer: 261365886.1848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, 0.4, -3.2, -2\/3 in increasing order.\nAnswer: -3.2, -2\/3, -0.08, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -209, 2 in ascending order.\nAnswer: -209, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (168\/294)\/((-806)\/11872 - (-157)\/2512).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10045 (base 10) to base 5\nAnswer: 310140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 198099847 divided by -8063\nAnswer: -24569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 - -14.96. Let o = 14 - -5. Let q = o - v. What is the biggest value in -0.3, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -528, -1056, -1580, -2100?\nAnswer: -2616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, m: 5, u: 3}. Give prob of picking 1 m and 1 l.\nAnswer: 25\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73 + -66. Suppose 4*h = v*h + 1053. What is the common denominator of (h\/24)\/((-42)\/8) and 71\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**3 - a**2 - 2. Is m(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 3*d + 15 = 0, d = 15 - 16 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 188970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4069 - 3961. Solve -12*x = 6*x + u for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**2 + 3*l**2 - 3*l**2 + (213*l**2 + 213*l**2 + 159*l**2)*(-5 + 4 + 3).\nAnswer: 1168*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -90 + 269\/3. Which is the nearest to -1\/26? (a) 2 (b) g (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of b**6\/120 - b**5\/5 - b**4\/6 + 7*b**3\/6 + 23*b**2. What is the tens digit of f(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 9*g + 47 - 33 + 6*g + 200001*g**2. Let k be v(-1). Round k to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/3157 and -241\/1420650.\nAnswer: 1420650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -387 + 862. Let t = g - 475.2. Sort 0.5, t, -3\/4, -0.07.\nAnswer: -3\/4, t, -0.07, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45.8 - -96.8. Let h = -3094253 - -3094304.000046. Let g = h - c. What is g rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-44)\/110)\/(21\/(-10) - -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 135749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 23568*v**3 + 417*v**2 + 23558*v**3 - 47123*v**3 + (2*v**2 - 4*v**2 + 4*v**2)*(v - 4*v + 4*v) in the form y*v**3 + s + g*v**2 + q*v and give g.\nAnswer: 417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5293 - -5634. What are the prime factors of x?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - -37. What is the highest common divisor of l and 486?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 195*l + l**2 + 192*l - 2 - 2*l**3. Determine x(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 3*u - 4 - 5, -2*w + 4 = 2*u. Suppose -4*k + w*k = -85. Calculate the remainder when k is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g**3 + 37*g**2 + 4*g - 7. What is the remainder when o(-6) is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2. Let l(h) = -3*h + 2. Let x(s) = -l(s) - 2*t(s). Let u be 44\/20 + (-1)\/5. Give x(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 0*r + r)*(-36 - 18 + 2)*(0*r + 0*r + 2*r**3).\nAnswer: -312*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 4 in ascending order.\nAnswer: -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 413.4374 * 5.\nAnswer: 2067.187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.17 + 1.17. Let o = l + -3.5. Let j = o + 2.39. Which is the nearest to -0.1? (a) j (b) 2\/13 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (6 + -6 + 1) - -4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/12 in 0.5, -13, 0.2, -2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y - 6*y - 2*y + (-23 + 14 + 17)*(14 - 14 + 10*y).\nAnswer: 75*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - -7) + 1\/(-1). Let j be 11 + -3 + (-2 - v). Let i(l) = -132001*l + 5. Let k be i(j). Round k to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**8*f\/(f\/(f\/f**7*f)))\/(f\/f**(-1))**24 assuming f is positive.\nAnswer: f**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 3*m + 4. Let a(b) = 3*b - 3. Give -6*a(p) - 5*l(p).\nAnswer: -5*p**2 - 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -4, 2\/7, -0.1, 1\/6, -10.\nAnswer: -18, -10, -4, -0.1, 1\/6, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of x**7\/1008 + x**6\/720 - 7*x**5\/60 - x**2. Let i(o) be the third derivative of w(o). Differentiate i(u) with respect to u.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -30270050?\nAnswer: -30270054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5570, -8340, -11110, -13880?\nAnswer: -16650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microsecond in nanoseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(228)\/sqrt(6))\/sqrt(2))**2*-6*-4 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-99)\/(-110)*(-8)\/(-9))\/((-56)\/224).\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1370300 divided by 13703.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(21) + 1*sqrt(21)) - sqrt(189)*2)\/(sqrt(27)*5 - sqrt(243)*2) + -2)**2.\nAnswer: 16*sqrt(7)\/3 + 148\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 299 and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-31)\/(23\/(-552) - 434\/1488)?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -61 in 0.2, 93, -3\/2, -3\/5, -0.5, 8?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + -80)\/(-7)*26. What is the highest common factor of 13 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/1 + (-2)\/1. Suppose -4*c = 3*o + 12, -n*o - 3 + 0 = c. Solve -2\/5*j**3 - 2\/5*j**4 + 0 + 2\/5*j**5 + 2\/5*j**2 + o*j = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 9:47 PM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 10:25 PM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, -3\/8, 2\/9, -14, -3.5?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -h**2\/2 + 1530. Let c(y) = y + 1. Let m be c(5). Determine o(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1636484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 920 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**3 + 0*w**3 + w**3 + (-w - 5*w + 5*w)*(-4*w - 7*w - w)*(2*w - 4*w + 9*w).\nAnswer: 85*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 10963.314 to the nearest ten.\nAnswer: 10960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/43923 and -151\/66?\nAnswer: 87846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 6*p**2 + 3*p - 4. Let i = 20 - 14. Let z be n(i). Suppose b - z = -b. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3473124 (base 9) to base 7.\nAnswer: 21653236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + 5*x + 9, -l = -231*x + 235*x + 14 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**6*i)**(-47))**(-49))**(-1) assuming i is positive.\nAnswer: i**(-16121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -289 - -471. Let i = f + -183. Sort 0.4, i, 6, -2.\nAnswer: -2, i, 0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2042\/5 or 1.6?\nAnswer: 2042\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 16) to base 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - 1 - (-6 - -2). Suppose -f*a + w - 7 = 6, 5*a = w - 17. Suppose -985*u - 30 = -991*u. Put -2, -1, a, u in ascending order.\nAnswer: a, -2, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29680499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -5. Let l = y + 6.99934. What is l rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, 0.4, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 + 3*o**2 - 2*o**4)*(2 - 101 - 60) + o**4 - 2*o**4 - o**4 + o**4 - 4*o**4 + 2*o**4 + (-1 - 2 + 5)*(-o + o**4 + o).\nAnswer: 317*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4 - 7080*k**3 - 49671*k**2 - 85212*k.\nAnswer: 3*k*(k - 2367)*(k + 3)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 f when two letters picked without replacement from yysysdfcyyxs.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + 3*a - 117 + 44 + 89.\nAnswer: a + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 10*a = 6. What is the common denominator of -9\/7 and (-220)\/(-33) + a + 2?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, k: 3, f: 1}. What is prob of sequence kkgk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 26 = -5*h, -4*h + 2*j + 358 - 340 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 126060 divided by -1?\nAnswer: -126060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 701 - -657. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 32 = 4*w + 36, -3*l = -5*w - 13 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4935 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75 + (9 + 39 - 117).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9368.534 millennia in months?\nAnswer: 112422408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, u: 2, p: 2, w: 2, n: 8}. Give prob of sequence no.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 f when two letters picked without replacement from rrrfrrrrrrf?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*y - 10 = 0. Suppose -119 + 41 = -y*h. Let l be (-6)\/(-9) - (73\/(-3) - 1). What is the greatest common divisor of l and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -123 - -115. Let r(f) = -4*f**3 + 5*f**2 - 5*f + 5. Let a(i) = -6*i**3 + 8*i**2 - 8*i + 8. Give k*r(v) + 5*a(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1051, -2110, -3167, -4222?\nAnswer: -5275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence id when two letters picked without replacement from giggdpgp.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -433 - -428. Sort 3, 1, b, 0.\nAnswer: b, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 5*g - 2 - 2 + 7. Let m = -18 - -12. Let w(c) = 14*c + 9. Suppose -178 = -8*d - 42. Calculate d*y(k) + m*w(k).\nAnswer: k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(567)*6 - sqrt(567) - sqrt(567)) + -1 - (sqrt(567) + (sqrt(567)*-4)**2 - sqrt(567))*3*5)*5 + 4.\nAnswer: -680416 + 180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s. Let w(p) = 6*p - 6. Let c(l) = -4*f(l) + w(l). Let u(d) = d + 6. Let q be u(-9). Let v = -118 - -126. Let z(o) = o - 2. Determine q*c(i) + v*z(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -10*n - 16. What is the remainder when 91 is divided by t(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -72*l**3*n**2 + 15120*l**2*n**2 - l**2 - 135813*l*n**2 + 17*l*n wrt l?\nAnswer: -432*l*n**2 + 30240*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, h: 5, i: 3, e: 1, d: 5}. What is prob of sequence heh?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 30660356 (base 9) to base 16\nAnswer: e0f54d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -6*s**2 + 2*s + 35. Let g(b) = -21*b. Determine g(l(w)).\nAnswer: 126*w**2 - 42*w - 735","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 657919*s**6 + 84*s**2 - 8*s - 5?\nAnswer: 78950280*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3335, 6653, 9959, 13247, 16511?\nAnswer: 19745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -29*q**3 + 24*q**2 + 7*q + 14. Let i(x) = 20*x**3 - 16*x**2 - 5*x - 10. What is -7*i(d) - 5*r(d)?\nAnswer: 5*d**3 - 8*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99719 is divided by 419.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 1)*(2*h - 3*h + 0*h)*(753 - 409 - h**2 + 6*h**2) in the form d + n*h**2 + x*h**3 + g*h and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*q - 879 = -2868. Calculate the highest common factor of q and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-27)\/7)\/(32\/28) - -3. Which is the biggest value? (a) -22 (b) t (c) 3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -45, -56, -87, -150, -257, -420?\n\"Answer: -2*n**3 + 2*n**2 - 3*n - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -553.73 + 567. Round z to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*d + 0*d + 0*d)*(-2 + 1 - 3) + 0*d + 0 + d + 2)*(33*d - 59*d - 23*d).\nAnswer: -441*d**2 - 98*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - p**2 - p + 1. Let u be g(-4). Let t = -22 - u. Suppose 0*w - f + t = 3*w, 4*f = 8. Calculate the highest common divisor of w and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21402? (a) -6\/11 (b) -2\/29 (c) -2\/11 (d) 1\/2 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9 + 2*o - 9 + (-1 - 1 + 3)*(o - 5*o + 2*o)*(-4 - 1 + 4).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1153413 and 4860?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 120900706 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/219, 4\/35, -7\/5 in descending order.\nAnswer: 4\/35, 8\/219, -7\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 713816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 2*h = 48, 4*l + 4*h = -2*l + 6*h + 96 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -360\nAnswer: -1\/120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 8, c: 8, f: 2}. Give prob of picking 2 c and 2 f.\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 1501 and 66 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 + 0 + 1 + -1 + -83 + 121 + -46.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 8132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 47416535 smaller than 0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 2*m - 2*m**2)*(m + 2*m - 5*m - 4) + (m**2 + m**2 - 3*m**2)*(0 + 0 - 2*m) + 2*m**3 + 2*m**3 - 2*m**3.\nAnswer: 8*m**3 + 8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -928*d + 1384 = -582*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 3.04?\nAnswer: -15.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t**2 - 2*t**2 - t**2 + (-2*t - t + t)*(0*t - 2*t + t) - 2*t**2 - t**2 + 2*t**2 - 10 - t**2 - 5*t**2 + 2*t + 12.\nAnswer: -3*t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 53850211?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1434, 3085, 4736, 6387, 8038?\nAnswer: 9689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y**4\/7 + 1104*y**3\/7 - 405162*y**2\/7 + 49017960*y\/7 + 150730227\/7 = 0.\nAnswer: -3, 369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/690*30\/36)\/((-6)\/((-288)\/40)).\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by 21.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -65.7 - -64.7. Which is the second smallest value? (a) v (b) 1\/4 (c) -3 (d) 5\/18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*a - 3*a. Let u be 88\/14 + (-4)\/14. Let r = a + u. Solve 0 = 4*m - r + 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, -18, -0.3, 1, 1109045?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y = 4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294766 a multiple of 257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1022*n**2*v**2*x + 2*n**2*v**2 + 2*n**2*x + 3*n*v - 13*v**2*x - 76*v*x wrt n?\nAnswer: -2044*v**2*x + 4*v**2 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -920 + 1610 + 21 - 14*j + (-1 - 1 + 0)*(2*j + 4*j - 5*j) as f + r*j and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 3*g = 3*h + 116, 0 = 2*h - 5*g - 44. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.45 - -2.15. Let j = -0.33 - -0.3. Let g = -0.23 - j. Which is the nearest to -1? (a) g (b) z (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0 = 2. Let l be -2 - (0 + 2 - 0). Let d be l - c - 4\/(-4). What is the second smallest value in 0.1, d, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xlx when three letters picked without replacement from {f: 3, l: 7, p: 3, r: 3, x: 4}?\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a - 4. Let k be v(-10). Suppose 0 = -y - y + k. Solve 5*x - 5 - 13 = 3*p, -x + y = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-17 + 18)*(254573\/(-77))\/(2\/(-14)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r = 58*r - 17*r - 12200. Solve -j = -489 + r for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, -4\/3, 3\/23, -3, 47, 0 in descending order.\nAnswer: 47, 3\/23, 0.08, 0, -4\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**2*(z*(z**(1\/5)\/z)\/z)\/z)\/((z**(-1)*z)\/z)**(2\/63) assuming z is positive.\nAnswer: z**(73\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2. Let d(q) be the third derivative of q**6\/180 - q**4\/12 - q**2. Let y(h) be the second derivative of d(h). Give y(b(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -118*u**3 - 13*u**2 - 20*u + 19. Let c be q(13). Let h = c - 868316. What is h rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 8. Suppose 6*k - 9 - 15 = 0. Factor z*f**k + 2*f + 11*f**2 + 7*f**3 - f - 6*f**2.\nAnswer: f*(f + 1)**2*(3*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-22)\/(-4)*(192\/56)\/12).\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q**2 + q. Let p be d(1). Let n be 3\/(-6) + -2 - (-477)\/162. Which is the closest to 0.2? (a) 4 (b) p (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/3 of a day in hours?\nAnswer: 440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3*x - 36 = 0, -33 = -4*a + 5*x + 10. Suppose a*u - 4 = 16*u. Suppose -u*p + 5 = p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 10 + -3)*1. Put -4, -11, l in ascending order.\nAnswer: -11, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hiwwziahhivhhww. Give prob of sequence hz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 + 3*n)*(795 - 16*n**3 - n - 758 - 10*n**3) to the form s*n + d + l*n**3 + j*n**4 + c*n**2 and give j.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14.6055 - 14.2055. Let j = 0.3 - -0.5. Which is the nearest to j? (a) -0.2 (b) -2\/11 (c) 4 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from xssxssxcxssss?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(30\/(-8))*3. Solve l*g + 11 + 1 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 620688514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43430, -43424, -43416, -43406, -43394, -43380?\nAnswer: -43364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 569.4163 years in millennia?\nAnswer: 0.5694163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 59*z. Let c(x) be the second derivative of -x**4\/12 + 10*x. Determine d(c(u)).\nAnswer: -59*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/18)\/((-4)\/3). Which is the nearest to 2\/5? (a) r (b) 0 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2144\/(-24) - -6)*((-144)\/(-60) + -3).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {z: 2, m: 2, r: 11, n: 4}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 2432177 and 2432173 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37 or -35?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 22 = 2*i, -2*x = -4*i - i + 19. Solve -4*t + 14 = 2*k, -4*k + t = -x*t + 8 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 365*g**2 - 14*g**2 - 155*g**2 - 3*g + 681*g**2 + 28*g**2 as t*g**2 + u + m*g and give t.\nAnswer: 905","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 43074 = -122956. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 14474573\nAnswer: 43423719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + k = 0, -4 = 2*g + 168*k - 170*k. Let l(i) = i**3 - 9*i**2 - 9*i - 6. Let f be l(10). Suppose -3 = -3*u + f*u. Put 5, 0, u, g in descending order.\nAnswer: 5, g, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*z + 17*z + 6*z**4)*(125 + 145 + 22) to the form w*z**4 + f*z**2 + r*z**3 + o + j*z and give w.\nAnswer: 1752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 43?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 10:56 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 10:15 PM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -26 - 1) + 1 + -21?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1064 divided by -16.\nAnswer: -133\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 803, 3277, 7417, 13223?\n\"Answer: 833*q**2 - 25*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2\/(5\/(-32825)*-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5027 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: Let x be (-18)\/12 - (-198)\/4. What is the highest common factor of 24 and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/100 and -57\/598820.\nAnswer: 2994100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*v - 28*v + 56*v - 3*v**2 + 1 as g*v + o*v**2 + t and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 - -57. Let n(u) = -u**2 - u + 15. Let o be n(0). Suppose -5*d + 0 = -o. Calculate the highest common factor of t and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -26. Suppose -19 = 10*j - 6*j - n, r*j - n + 9 = 0. Is -57\/16 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 270*o - 296*o + 97370. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**3\/3 - 1237*o**2\/3 - 3103*o\/3 - 414 = 0 for o.\nAnswer: -2, -1\/2, 621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 29314, 116889, 262844, 467179, 729894, 1050989, 1430464?\n\"Answer: 29190*n**2 + 5*n + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-0.16\nAnswer: 0.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 480478229?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*s + 2*s + s)*(-2*s**2 + 3*s**2 + 0*s**2) + (-2*s + 2*s + 2*s**2)*(7*s - 28 + 28) to the form m*s + t + q*s**2 + h*s**3 and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {e: 5, m: 15}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m**2 + 70*m - 35. Give t(-18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5433 is divided by 133.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22607 - 267202?\nAnswer: -244373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -196 - 3?\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -4 (b) -47 (c) 0.3 (d) -0.5 (e) -17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(272) - (sqrt(272) + 4 + sqrt(272) + (sqrt(272)*2 - sqrt(272)) + sqrt(272))) + -4)**2 - (sqrt(102)\/sqrt(6) + 0 - sqrt(170)\/sqrt(490))) + 5.\nAnswer: 1338*sqrt(17)\/7 + 2517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x - 5. Let f be t(-7). Let j be 0\/(-1 + (5 - f)). Suppose -4*a = -j*a - 12. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -146 + 150. Differentiate -8*i - 5*i - 4*i + 3*i**4 - 2*i**g + 25 with respect to i.\nAnswer: 4*i**3 - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23555307 (base 8) in base 9?\nAnswer: 10645816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -712.6 + 625. Let h = 87.1 + u. What is the biggest value in 0, -2\/7, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16769507.87 to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-1)\/x*x*x)**(-31)\/(x**(1\/6)\/(x*x**(6\/13)*x)))**(1\/71))**(3\/8) assuming x is positive.\nAnswer: x**(179\/14768)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5932294845.\nAnswer: 3, 5, 757, 522439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 620 = 106*k + 196 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12774 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 0)\/(2\/(-10)). Let m = r - 2. Let b = 2 + -3. What is the nearest to -0.06 in m, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67486 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, p: 5, x: 8, f: 2}. What is prob of sequence ffxp?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7 + 3)*(3*b - 3*b - b) + 3 + 0 + 4*b - 1.\nAnswer: 5*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 27 + 1?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -w. What is the remainder when w - (0 - 0) - -8 is divided by 34 + -28 + 0 + 1*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 11) to base 3.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rgrg when four letters picked without replacement from {r: 3, g: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4716 and 216?\nAnswer: 28296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/((sqrt(45)*1)\/sqrt(9)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111000100111100110 (base 2) in base 3?\nAnswer: -1102102022100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 5. Let i be o(0). Let l be -2 + 17\/i + -1. Suppose -s + 4 = 1. Which is the closest to -0.1? (a) -5 (b) s (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w*w**(-2\/5))\/w*w**(-1\/4))**(3\/5) assuming w is positive.\nAnswer: w**(21\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**2\/3 - 211130*g + 33431907675 = 0.\nAnswer: 316695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 102 - 63. Let p = a + -22. Suppose -10 = -3*r + p. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 6057.5, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 206.625561?\nAnswer: -207.025561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 45616 to the nearest one thousand.\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -3204.88485 to the nearest integer.\nAnswer: -3205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46847 and 2212?\nAnswer: 1311716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -215 + 211. Let m be 3 - (-3 - (-114)\/15). Let x = m - 0. Which is the biggest value? (a) z (b) x (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11704498.\nAnswer: 2, 13, 67, 6719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 218 + -214. Suppose -14*j + 2286 = r*j. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 43\/4 of a kilometer?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3*w + y - 3, -w = -4*y + 14. Let o be -1*2\/(-2) - w. Suppose -z + o = -0. Sort -3, 1, z.\nAnswer: -3, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4*sqrt(684)*-2*1)**2 - ((sqrt(684) - (sqrt(684) + 2*(sqrt(684) - (2*sqrt(684) - sqrt(684))) - sqrt(684)))**2 + 0)*-3.\nAnswer: -192*sqrt(19) + 45832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/576 and -51\/160?\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1715 is divided by 132?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19939039 - 5278*q + 19939039)*(4*q - 2*q - q).\nAnswer: -5278*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -923, -0.0372, 2\/3.\nAnswer: -923, -0.0372, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63 and 6129.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0023109470234 rounded to six dps?\nAnswer: 0.002311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53407527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/57*3 - (-200332)\/2204. What is the highest common factor of r and 195?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1130523323 (base 6) in base 12?\nAnswer: 4296543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -43*c**5 - 7*c**3 + 38*c**2 + 7*c. Let q(m) = -22*m**5 - 4*m**3 + 19*m**2 + 4*m. Let i(s) = 4*l(s) - 7*q(s). Find the third derivative of i(t) wrt t.\nAnswer: -1080*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.15 - 0.45. Let d = a - 6. Let z be (-67)\/(-615) + 234\/(-1755). What is the second biggest value in -1\/7, z, d?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 159 - 232. Let i = 73.06 + o. Let b(r) = -5*r - 27. Let v be b(-6). Sort 4, i, v in decreasing order.\nAnswer: 4, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssttqttgiqqttgqgtqs. What is prob of sequence gsgg?\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -93 + 3. Let o(p) = -25 + h*p + 0 + 8. Does 30 divide o(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -61*u**2 - 3*u + 2. Let p be n(3). Let w = 4461\/8 + p. Which is bigger: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -207 - -367. Suppose 4*w = o + 243, -3*w - o = -107 - 77. Suppose -j + 17 = 3*r, r - w = -2*j - 22. What is the highest common factor of j and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 15 = -2*o, -i + 2*i = o - 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 33*a**2 - 2*a - 64. Let z be q(-33). Solve -3*p = -4*c + 35, -p - z*c + 10 = c for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 144533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -15.745 and 1?\nAnswer: 16.745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 91, -0.07, -51, -1\/5 in descending order.\nAnswer: 91, -0.07, -1\/5, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 123 = 13 + 498. What is the remainder when q is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22013121 (base 4) to base 6\nAnswer: 515453","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 21*h**2 + 4*h**2 + 2*h**2 + 9*h**2 - 5*h**2. Let n(w) = -2*w + 12. Let l be n(5). Let g(r) = r**l + 158*r - 158*r. Determine g(p(f)).\nAnswer: 961*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -3392031\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222022 + -2?\nAnswer: 222020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f. Let k be y(-2). Suppose -60 = -k*x - 3*x. Calculate the highest common factor of x and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*a + 76*a + 21*a + 159*a.\nAnswer: 292*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-4) + -1)*2. Suppose u = -z + 7. Suppose 2*d = -d + u. What is the remainder when d is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, u: 1, p: 1}. What is prob of picking 4 i?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1046863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4, 5, 2, -66 in increasing order.\nAnswer: -66, -4, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114124, 456495, 1027112, 1825975, 2853084, 4108439, 5592040?\nAnswer: 7303887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.5, -4, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 10}. Give prob of sequence rrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(6\/11)\/((((n\/(n\/(n**(4\/7)\/n)))\/n)\/n)\/n*n)*((n*n**7*n)\/n*n)\/n**7 assuming n is positive.\nAnswer: n**(383\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -159, -3, -6797.\nAnswer: -6797, -159, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 359.4226 centimeters in millimeters?\nAnswer: 3594.226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 2*f - 12. Let g be k(4). Sort g, 3, -5, 4 in ascending order.\nAnswer: -5, g, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/4 + 15 - -1. Suppose -15*k + p = -33. Solve 5*i = 3*a - 24, -k*i - 2*i - 18 = -a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 - -34. Let w(h) = h**3 - 5*h**2 + 4*h + 1. Let z be w(4). Let v be -3 + (1 - z) + 7. Solve -c - v*y - l = 0, -c - 5*y + 3*y - 10 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1259*w + 1697*w - 18396 for w.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of t**5\/5 - t**4\/6 - 2*t**3\/3 + t**2 + 18*t. Factor y(i).\nAnswer: 2*(i - 1)*(i + 1)*(2*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001297 rounded to six dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 2*d - d)*(-d + 2*d**2 + d) - d**2 + 0*d**2 + 10*d - 1558*d**3 + 1559*d**3.\nAnswer: -d**3 - d**2 + 10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 25*s - 15. Does 4 divide c(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.174 + 4.826. Let f(v) = v**2 - v + 2. Let t be f(0). Suppose -3*n + 4*h - 12 = -n, 18 = -4*n + t*h. Sort w, 0, n in increasing order.\nAnswer: n, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/7 (b) 5 (c) 1665 (d) 14 (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -8, 4, -1 in descending order.\nAnswer: 4, 0, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -5*u - 12, -4*a - 2*u - 5 = -5*a. Let b = 315 + -320. What is the second smallest value in a, b, -0.02?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 63 and 6?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/93006 and 16\/852555.\nAnswer: 5115330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-4)\/5)\/(2\/(-170))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/11 - (-682025)\/55 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + c - 17. Let m be y(0). Let i = -303 + 278. Let v = m - i. Calculate the remainder when v is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g*k**2 + 13*g*k + 146196*g + 16237*k**2 - 111*k wrt g?\nAnswer: k**2 + 13*k + 146196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5*o**2 - 11*o - 14. Let p be z(11). What is the derivative of 5*y**4 + 0*y + 0*y + p - 490 wrt y?\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 - 0.5. Suppose 5*g - 2*d = 77, 6*d = 4*g + d - 65. Let r = 10 - g. What is the closest to 0 in -1, r, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46881787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8724.375ml in litres?\nAnswer: 8.724375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 9250*h + 1794494. Determine y(-194).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iidd when four letters picked without replacement from {z: 2, n: 8, a: 1, d: 1, i: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 5*d**2 + (2*d + 2*d - 6*d + (0*d - 2*d + 0*d)*(-4 + 6 - 1) - 4 + 4 - d)*(8*d + 3*d - 2*d)*(25 - 7 + 43).\nAnswer: -2740*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*i + w - 126, 49 = 2*i - 5*w. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 59.01 and 2997.\nAnswer: 3056.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of 0*r**6 + 0*r**5 - 1\/210*r**7 + 0*r + 0 - 1\/3*r**3 - r**2 + 0*r**4. What is the derivative of g(i) wrt i?\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17511 is divided by 17501?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 59471833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-28))\/((5681\/(-152))\/299).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 1:01 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -4\/15653?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**3 - 37*x**2 + 49*x - 8. Determine f(-20).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -3, -1, 6, -6, 2 in descending order.\nAnswer: 6, 2, -1, -3, -6, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*p - 3*p - 540. What is the remainder when p is divided by 11564\/(-6608) - 83\/(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2. Let h(p) = 3*p**2 + 9. Let t(q) = h(q) + 3*k(q). Differentiate t(n) wrt n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-1 + sqrt(448) - sqrt(448))*2 + 1)**2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4563 = 38*g + 4297 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3367 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 24 = -4*b, 0*b + 2 = 2*b + 4*r. Suppose 5*l = -0*l + b. Is 3 bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**5 - 39*d**4 + 99*d**3 - 93*d**2 + 30*d.\nAnswer: 3*d*(d - 10)*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 16. Let i = j + 36. Calculate the remainder when i is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -420 divided by -30\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*p**4 - 222527*p**3 - p**2 + 209670*p + 4?\nAnswer: -72*p - 1335162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-60)*2 - (-2 - (-29)\/(-5)). Let b(d) = -d**3 + 10*d**2 - 11*d + 4. Calculate b(t).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14285 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2 + (sqrt(275) - (sqrt(275) + sqrt(275) + -3))**2 + sqrt(275)*-1 + -4 + sqrt(275) + 0 + -2)*-1.\nAnswer: -278 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-84)\/18*(-20261)\/(-12). Let n = 7875 + r. What is the common denominator of n and 95\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f + 1. Let m be x(-4). Let b be (-2 - m\/3)*3. Let y be (2\/(-4))\/((-30)\/8). Which is greater: y or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 7:41 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**2 - 3*t - 2. Let m be o(-1). Suppose -3*b + 533 = m*r, 3*r + b - 36 = 365. Suppose -r = -2*w + c + c, 3*c + 63 = w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -188 - -2?\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 270 and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a - 6. Suppose 0 = 22*j - 64*j - 126. Let m(i) = 2*i + 5. What is j*v(q) - 4*m(q)?\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -2*p - 3*q, q + 4*q = -2*p + 65. Calculate the smallest common multiple of 8 and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 + 53. Let v(d) = -3*d. Let b be v(-4). Calculate the highest common factor of b and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -456655.\nAnswer: -1369965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 6. Suppose 2*g = 5*l + 88, 7*g - j*l - 176 = 3*g. Suppose 0 = -3*n + 121 + g. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -713 divided by -4\nAnswer: 713\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b**2 + 2*b**4 + 5*b**2 + (6*b**3 - 3*b**3 - b**3)*(-b - b + 0*b) - 371*b**4 - 803*b**4 + 295*b**4.\nAnswer: -881*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aattaaaqttt. Give prob of picking 3 a.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s - 4. Suppose 10*b = -33 - 267. Let c = -25 - b. What is v(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 0*t + 2*d + 21, -d = -4*t + 63. Suppose t = -5*o + 190. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*y - 52. Let i be (-16)\/y + (-7)\/(-3). Solve 0 = 2*b + i*o - 6*o + 22, 0 = -3*b - 2*o - 7 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27190 to the nearest 100.\nAnswer: -27200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**4 + 2*c**3 - 12 + 16 - 6 + 403*c**4 - 4*c**3 as h*c**3 + u*c**2 + p + n*c**4 + j*c and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 441775.\nAnswer: 5, 41, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 958 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -306 times 2027.6?\nAnswer: -620445.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 82122 times -2?\nAnswer: -164244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 0, -x - 5*m - 18 = -26. Solve -x*b - 92 = 15*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.4 in 9, -22\/71, 1, -10\/11, 3?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4860 and 130.\nAnswer: 63180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56 - -80. What is the first derivative of -11*m - 34*m - 122 - 2*m**3 + o wrt m?\nAnswer: -6*m**2 - 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 660 and 988548.\nAnswer: 4942740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.119 + -2.159. Which is the fourth smallest value? (a) -0.2 (b) -1\/9 (c) -0.1 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (244\/(-12))\/(7\/(-21)).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 1. Let i = 18.2 + -18.16. Does i = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 65, -3, 5 in increasing order.\nAnswer: -3, -1, 1, 5, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.5, 3, 8, 114, -1\/14, 0.2 in descending order.\nAnswer: 114, 8, 4, 3, 0.5, 0.2, -1\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 + 46. Suppose 180 = -w*b + 5*b. Let l be 6\/b*9*10\/(-3). Solve 3*u + l = u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*b + w + 2*w, -2*b + 4*w = -24. Suppose -4*y + 103884 = b*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45516716*d**4 - 1713898*d**2 - 8 wrt d?\nAnswer: -1092401184*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-84*s**4 + 40*s**4 + 103*s**4)*(-s - 3*s + 2*s).\nAnswer: -118*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -b**6\/180 - 37*b**3 - 48. Let x(o) be the third derivative of l(o). Give x(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -303114 - 102?\nAnswer: -303220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 7*b**2 + 4. Let l(d) = 3*d - d + 10*d + 2*d. Give h(l(g)).\nAnswer: 1372*g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -7871*z + 196785. Let a be y(25). Suppose 11 + 1 = 4*j. Is a bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*481\/(-74)*-4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12128, -28919, -45710, -62501, -79292?\n\"Answer: -16791*j + 4663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-48))\/(42\/((-12348)\/12887))?\nAnswer: -2\/263","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*d - 218 = 1 + 159. Solve 0 = 4*q + 4*b - 8, d*b - 5*b = 4*q + 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-558)\/(-7) - 2\/(-1). Let h = -82 + j. Which is the nearest to -6? (a) -4\/7 (b) 2\/19 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a factor of 30120657?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 2462?\nAnswer: -2464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 + 3*m + 2. Let g be b(-2). Let l(y) = y**3 - 7*y**2 + y - 2. Let u be l(7). Suppose -q - u = g*q. Which is smaller: -2\/3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -16*r - 1. Let t be p(-1). Suppose -l - 4*l + t = 0. Solve 3*h - 14 + 0 = -4*y, -l*h + 4 = 2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -1. Suppose o = l + 3. Let z = 1 + l. Is z < -3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, w: 2, m: 1}. Give prob of picking 2 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -474*i + 469*i + 30 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - u**2 + u - 1. Let f(p) be the first derivative of 7*p**4\/4 - 2*p**3 + 3*p**2 - 5*p - 13. What is f(k) - 5*w(k)?\nAnswer: 2*k**3 - k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27277, 27278, 27279?\nAnswer: 27280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -2, 16 in descending order.\nAnswer: 16, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.002 and 16.98.\nAnswer: 16.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 32372.8 nanometers?\nAnswer: 32.3728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 137329, 3, 2, 1, 7, -2\/5, -0.3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 7*z**3 + 5*z**2 + 5*z - 7. Suppose 5*b + 101 = -4*p + 108, -5*b - 1 = 3*p. Let q(s) = -10*s**3 - 7*s**2 - 7*s + 10. Calculate b*q(l) - 7*k(l).\nAnswer: l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/17983887 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 131 = -m, -v = 4*m - 6*v + 524. Let o = 565 - 317. Let g = m + o. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.3 (b) 0.4 (c) -2\/65 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l**3 + 36*l**2 - 10*l + 60. Calculate y(-12).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q + 274. What is the tens digit of m(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2073, -3928, -5783, -7638, -9493, -11348?\n\"Answer: -1855*l - 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1323 + -1319. Let h(x) = x**3 - 4*x**2 + 3*x + 1. Let f be h(3). What is the nearest to f in 0.4, m, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 390 = -k + 14*k. Calculate the remainder when 85 is divided by k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 51425586?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19712 = 69*r - 13*r. Calculate the greatest common factor of 160 and r.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65066145 to the power of 1\/4, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1432419 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 256 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2664, 0.5, -1\/8, 2\/1115?\nAnswer: 2664","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0 = 4. Let b(n) = 2 + 5*n**2 - c*n**3 + n**3 - 4*n + 1. Let u = -195 + 197. Determine b(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97382267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 9*b - 14. Let s be z(6). Suppose 21 = 5*v - s*k, v + 15 = 4*v - 3*k. Let i(g) = -10 + 4*g + 4 + v + 4. What is i(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250 = -653*o + 655*o. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 82*r - 314. What is u(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2681 is divided by 1156?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 + 2*j - 5. Let p(l) = l**2 + 1. Determine k(a) - p(a).\nAnswer: a**2 + 2*a - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 - -32. Suppose -2 - f = -3*l. List the prime factors of -28*(l + -2 - 1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 290632800 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2)*(7*f + 0*f + f) + 33*f - 21*f + 21*f - 2 + 2 + f to o*f + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*l + 2*x, -52*l - x = -49*l - 2. Suppose -4*p + 19 = 7, 4*v = 3*p + 7. Solve k - 21 = -2*k + 3*d, -v*k + l = 5*d for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -18 (c) 0.136 (d) 0.1 (e) 3 (f) 1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2*h + 15*q - 5*q - 6*q, 39*q - 18 = -3*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 22*s**5 + 42414*s**4 + 38538*s**3 - 3854*s**2 = 0.\nAnswer: -1927, -1, 0, 1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t. Let y(b) = 587*b - 45608. Give v(y(f)).\nAnswer: 1174*f - 91216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1680 - -1796. Calculate the remainder when 557 is divided by z.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*z + 0 = 2, 5*z - 18 = 2*p. Let t be -10 - (4 + -2) - -1. Let u be (54\/(-24))\/(t\/p). Are u and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -673, -4, 1, 0, 7 in decreasing order.\nAnswer: 7, 4, 1, 0, -4, -673","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2184 * 9.\nAnswer: -19656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-18)\/q**(-1)*(q*q**(-1\/3))**(-17\/5))**(-17) assuming q is positive.\nAnswer: q**(4913\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -6*t + 5. Let y = 5 - 0. Let p = 7 + -3. Sort p, y, t.\nAnswer: t, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 943918 (base 10) to base 5.\nAnswer: 220201133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-7326)\/2754 - 2\/9 and -81\/10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cipkkiff. Give prob of sequence ci.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 192.2 + 11.6. Let s = -1388.2 - g. Let x = -1592.0000763 - s. Round x to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 2:55 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2. Let h(q) = 8516*q. Calculate h(z(x)).\nAnswer: -8516*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.488 and 19819.\nAnswer: -88947.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1048 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22182237 and 0.5.\nAnswer: 11091118.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-60)*-10*6\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.82*-1372.03\nAnswer: -2497.0946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 7*s + 2. Let f = -24 + 37. What is the remainder when u(f) is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t + 4*t - 3*t + (7*t - 2*t + 0*t)*(0 - 4 + 3) + (-7*t + 5*t + 9*t)*(0 + 0 - 2).\nAnswer: -17*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 243213 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 0*i + i)*(2*i + i - 4*i)*(-4 + 2 + 3).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - -2 - 21) + 5. Let h be (a\/6)\/((-78)\/585). Solve -y = -5*y + h for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11950\/(-8365)*4\/12*7?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169769563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 743786 take away -11.15216?\nAnswer: 743797.15216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 78840*o - 2759403. Calculate r(35).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x + 1. Let f(q) = -22*q**2 - 16*q + 2. Let b be (24\/6 - 12) + 2. Let h(r) = b*s(r) + 2*f(r). Find the second derivative of h(u) wrt u.\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 80783032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 292 * 0.2\nAnswer: 58.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00179036 to 4 decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4494? (a) 5 (b) -1130 (c) 0 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 61 = -7*x + 5*x, 3*x + 3*i - 54 = 0. Suppose -145 + x = -2*g. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 170812211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -221278, -442553, -663818, -885067, -1106294, -1327493, -1548658, -1769783?\n\"Answer: u**3 - u**2 - 221279*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - p + 10 = 4*p, 5*u - 2*p = -10. Let x be u - (-2 - (-4)\/(-10)). Let t = 0 - x. Which is the third biggest value? (a) t (b) 5 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**7\/105 + 2*g**6\/45 - 11*g**5\/90 - 7*g**4\/9 - 4*g**3\/3 - 25*g**2. Let k(w) = 0. What is w?\nAnswer: -3, -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - (-15 + -7))*1\/1. Suppose -3*g = g - 16. Solve g*l + 3*r = -r + 24, -r = -5*l + p for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1 + 0 - 2 + 1 + 0 - 4 + 3 + (4 - 6 + 4)*(-1 + 0 + 2) + 1 + 2 - 1)*(-6*w - w + 4*w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -96\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1817 - -1834. Suppose i - 2 = -1. Let h be i\/(3*3\/1683). What is the highest common divisor of h and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 112 = -98. Let c = v - -19. What is the smallest common multiple of c and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 381*z**2 - 381*z**2 - 2*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 9:12 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 244*s**3 - 6*s**2 + 5*s - 10. Is g(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2 - 45*f + 156. Calculate l(20).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/14 + 0 + (-29)\/(-7). Is o < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = j - 2*d, -3*j - 22 = -j + 2*d. Let r = -10 - j. Suppose -r*t = 4*w - 292, -5*w - 20 = t - 91. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 185938390 or -2\/7?\nAnswer: 185938390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40926 is divided by 1785.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b**3 - 2*b**2 + 1. Let u be l(3). Suppose -5*w + 267 + 573 = 0. Let j = w - u. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17 - -2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70, -133, -198, -265?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - o + 12. Let u be m(0). Suppose 8 - 2 = -i - 3*j, -2*i + 2*j = -u. What is the second derivative of -3*k - k + i*k + k**5 wrt k?\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 12) in base 7?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.4 - -0.4. Let g = -4.3 - -4. Let y = 3.729 - -0.271. Put g, c, y in descending order.\nAnswer: y, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*q - 3. Suppose 2*o + 2*t = 7*t - 16, -o - q = -t. Differentiate 0 + 2*n**2 + 0 - o - 5*n**2 with respect to n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45 + 0*h - h + 2*h + 22 to a + c*h and give a.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -455\/12 or -7?\nAnswer: -455\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 3 + (-2 - 1 + 4)*(-3 + 4 - 2) + 4 - 2 - 3)*(-z - 2*z + z).\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 63018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**4 + 28*c**3 + 271*c**2 - c - 2012865.\nAnswer: 4*c**3 + 84*c**2 + 542*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + n - 1025 = 5*n, -3*n - 5159 = -5*d. Suppose -29*a - 17820 = -40*a. Let t = a - d. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.04 + -0.34. Let k = 1.2 - d. What is the third smallest value in -5, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 290532911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 8*c + 9. Let d(m) = -17*m - 17. Let o(q) = 6*d(q) + 13*u(q). Let a be o(9). Suppose a = -6*t - 9. Is -9 < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7337.68 + 7341. What is the biggest value in c, 2, 5\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 1:52 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.017 - 0.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(12\/6))\/((1\/6)\/(-1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -259*s**5\/60 - s**2 - 22*s. Let z(o) = -o**2. Calculate z(m(h)).\nAnswer: -67081*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 1459?\nAnswer: 5\/1459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290823566.\nAnswer: 2, 11, 13219253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8291?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y + 3 - 3)*(0 + 0 - 1) + 2*y + 0*y - 12*y as s + z*y and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1092 - 448. Suppose 4*o = -3*n + 1960, -n + o + 0*o = -h. Suppose -2*k + 162 = l, 3*k = l + 3*l - n. Calculate the greatest common divisor of 18 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 7:20 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/19 and -37\/48.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4069.6 * -201\nAnswer: -817989.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + -3 - (2 - 5). Suppose -p + 15 = b*p, -5*j - p = -5. Suppose j = -4*h + 77 + 255. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n - 11. Let q be h(-4). Let t = q + 39. What is the greatest common factor of t and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/10)\/((112\/8)\/70)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-122)\/12 + ((-1065)\/(-18))\/(-71) - -62.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/16 and -74\/861?\nAnswer: 13776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + o - 2 = -0, p + o + 2 = 0. Let w(x) = 2*x**3 - 3*x**2 + x - 1. Let k be w(p). Suppose -5*v - 17 = -k*b + 4*b, 0 = -v - 4*b - 16. Sort -5, 4, v.\nAnswer: -5, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 132190000 to the nearest one million.\nAnswer: 132000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -781*i**2 - 939 wrt i.\nAnswer: -1562*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -147 - -2?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -35 + -10 + 15 + 0 + 12\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**5\/k*k\/k**(6\/5))\/(k*k\/k**2*(k\/k**4*k)\/k) assuming k is positive.\nAnswer: k**(34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*c + 117*c - 52 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -22*r**3 + 3*r**2 + 10*r + 8. Determine f(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 26*n**2 - 29*n - 53. Let p be f(-27). Is 0 - (-502 - p - -4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w + 16. Determine u(17).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 28.1. Let k = -14 - -44\/3. Which is smaller: h or k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -16) + -6 - (9 + -29 - -60)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372042 is divided by 744.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, c: 7}. What is prob of sequence icii?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2345.92 - 2342. Round n to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -155.2 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65 + 73. Find the second derivative of 13*o - 8*o**5 - 1 + 9 - r wrt o.\nAnswer: -160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -3*q**4\/4 - 4*q. Let h(l) = -8*l + 10. Let r(c) = c - 1. Let a(v) = h(v) + 10*r(v). What is n(a(o))?\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) - sqrt(3888)*-4)\/(sqrt(36) + sqrt(1296)) + -1)**2.\nAnswer: -7*sqrt(3) + 151\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + s + 3 = 0, 25*i + 24 = 27*i + 3*s. Factor -8\/5*w**4 + 2\/5*w**5 + 0*w + 2*w**i - 4\/5*w**2 + 0.\nAnswer: 2*w**2*(w - 2)*(w - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 179830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13904689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5*h + 22 = 0, 26 = -0*d - d + 5*h. Let n be d*(5 + -2) - -1. Is -24\/7 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from {s: 2, t: 5, b: 2, v: 1, a: 4}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 20*u**2 - 38*u + 3. Let p = -42 - -44. Let g be f(p). Solve -q - 15 = -5*q + d, 5*d + g = 5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f**3 + 837*f**2 + 215*f + 1286. Determine y(-209).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 5, -195, -5, -2, 3 in decreasing order.\nAnswer: 5, 3, -2, -5, -18, -195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -7*g**6\/36 - 13*g**5\/15 - 9*g**4\/8 - 2*g**3\/9 + g**2\/3 - 622. Let f(d) = 0. Calculate d.\nAnswer: -2, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lcw when three letters picked without replacement from {c: 2, l: 4, o: 1, w: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/8*-8*2\/(-4). Let u(s) = s + 14. Let g be u(-14). Let p(w) = w**2 + w + 3. Let m be p(g). Solve i - 2*x = 3, m*i + 0*x + l*x - 20 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5 + sqrt(5)*2.\nAnswer: 2*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 10, 2, 3\/2, 335 in increasing order.\nAnswer: 3\/2, 2, 3, 10, 335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -34 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 5:25 AM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - -20995.4\nAnswer: 20994.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + 0.2. Let x be ((-6)\/4)\/((-42)\/56). Which is the second smallest value? (a) p (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4141 + 576 = 5*m, 3*h = -5*m + 3539. Suppose -5*q + 3860 = 3*z - h, 5*z + q = 8382. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 88351, 94514, 100677, 106840, 113003?\n\"Answer: 6163*v + 82188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 0, -4*l - 2644 = -2*m - 970. Calculate the highest common factor of m and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (4\/(-7))\/(3\/(-63)) and (-2)\/2 + 2*5.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*h + 56 = -118 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 2*u + 14*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15330481?\nAnswer: 17, 653, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/8 (b) -3 (c) 95058821 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 6*v**2 - 9*v + 1. Let i = -4 + -3. Is o(i) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.18 + 0.68. What is the third smallest value in v, 2\/3, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/5 - ((-404)\/40)\/(24\/48*1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8.4? (a) 1.1 (b) -0.4 (c) 1\/3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 821 - 352. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 - -50. Let a = k + -18. Suppose -9 = -3*c - 0, 3*x + 2*c - 18 = 0. Solve 2*u = -t + a + x, 22 = t + 4*u for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - 3 - (0 - (-12 - -7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 16 (b) 8 (c) 2\/3 (d) 9 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 212\/20 - (5 - ((-1134)\/35)\/(-6))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2705?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3007*v**5 - 6*v**2 - 3*v + 14 wrt v?\nAnswer: -180420*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 2 + 2)*(-3 + 1 + 4) + (-2 + 1 + 5)*(4 - 4 - 2)*(3*t + 4*t + 0*t) - 42 + 42 - 29*t + 2*t - 2*t - t.\nAnswer: -84*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 15*s**3 - 640 + 31*s**3 + 605 - 18*s**3 - 73*s**2 - 139*s. Let a(r) = -56*r**3 + 145*r**2 + 279*r + 71. Let t(u) = 3*a(u) + 7*l(u). Factor t(o).\nAnswer: 4*(o - 4)*(o + 1)*(7*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 3*o - 15. Let y = 274 + -269. Suppose -2*a - 16 = 4*l, y*l - 14 = 4*l - 5*a. Calculate g(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -495 - 10?\nAnswer: -4a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 - (-4 + (43 - 27)) - 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59 - -32. Let b = x - -27.019. Round b to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1391, 3965, 12899, 25417, 41525?\n\"Answer: a**3 + 1783*a**2 - 3175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 62, 243, 544, 965, 1506?\n\"Answer: 60*d**2 + d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 9*l**2 + 3. Let f(x) = 2 - 2*x**3 + 2 + x**3 - 3. Let j(u) = 3*f(u) - q(u). Factor j(m).\nAnswer: -3*m**2*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**6*h*(h*h*h**(-5))\/h)**38*(h**1*h*h*h**2)**12 assuming h is positive.\nAnswer: h**(-244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 189 - 109. Let f = r - -16. Let l = f - 94.16. What is l rounded to 1 decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 20*j + 643. Let f be d(-32). Suppose o - 2 = 3. Which is the closest to 0.1? (a) o (b) f (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1889*t + 3515 = 1984*t for t.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 96 + -78. Let n = 7 - 12. Sort s, n, 0.5 in descending order.\nAnswer: s, 0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2656814 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-130)\/(-18) + 12\/(-54).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -504 by 9.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 171 and 87552?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*b - 15 = 0. What is the second derivative of 4*a - 9*a**3 - 10*a - 8*a**3 + 12*a**b wrt a?\nAnswer: -30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -461 - -663. Let g = 131 + u. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/9? (a) 3 (b) -1 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - p - 1. Calculate r(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1145816 by -286454.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 90\/67 - -3281\/201. Calculate the common denominator of (370\/(-75))\/(-1) - 1 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -437 - -192. Is 1\/7 + (-971880)\/y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(320))**2 + -4 + sqrt(180) + 1.\nAnswer: -42*sqrt(5) + 326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13041 and 6237?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17107*k - 478669 + 137653 = 685404 for k.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4662012 microseconds to seconds.\nAnswer: 0.0000004662012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**2 + 5*n**2 - 2*n**2)*(-73220*n + 36615*n + n**3 + 36628*n).\nAnswer: -n**5 - 23*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 62517 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: Let s = 147\/2 - 72. Let t(x) be the first derivative of -s*x**2 - 1 + 0*x. Let c(w) = 2*w. What is t(c(q))?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*h + 28, 4*j - 2*h = 26. Solve 9*f + j*f = -3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b**3\/2 + 11*b**2\/2 - 21*b = 0. What is b?\nAnswer: -14, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 14*s + 151. Calculate k(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*o**2 - 3)*(-6*o**2 + 19*o**2 + 2*o**2)*(8 - 6 - 9)*(-1 - 1 - 1).\nAnswer: -630*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 - (6 - 18)) + -5. Factor -62*o**3 - 178865*o**b + 2*o**5 + 9*o**4 + 178937*o**2 - 21*o**4.\nAnswer: 2*o**2*(o - 9)*(o - 1)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - c - 5 = -y, -3*c - 15 = -4*y. Let u = 3 - y. Let j = 5 + 0. Calculate the lowest common multiple of u and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 6:37 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**3 - 9*a**3 + 147*a - 2*a**3 - 147*a.\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0, 21, 50, 196, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (870\/45)\/((-2)\/51). Let y = 928 + z. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(300\/(-24) - -12). Let y(j) = -j. Let w(b) = -4*b + 5. Give q*y(v) + w(v).\nAnswer: -2*v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -3*y**5\/10 + 45*y**4\/2 - 58*y**3 - 112. Factor v(h).\nAnswer: -3*h**2*(h - 58)*(h - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r + 6. Let c(y) = -y**2 - 6*y - 4. Let i be c(-2). What is f(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3221943685 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3899 - -3978. Solve z*q = 95*q + 80 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 5 - -3 - 2) + -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34793\/6 - -5799. Let a = 5.16 + -5. Let g = 0.09 - a. What is the second smallest value in 1, g, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, g: 1, a: 2}. What is prob of picking 1 a and 1 z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + a**4 + 5 + 32610*a**2 - 3 - 32615*a**2 + 28*a**3 as f*a**2 + i*a**4 + g + c*a**3 + l*a and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 100712.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 1. Suppose 2 = -4*w + 22. Let p(u) be the first derivative of u**4\/4 + u**3\/3 + u**2\/2 + 5*u + 53661. Determine w*n(m) - p(m).\nAnswer: -m**3 - m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 4*o = 75, -672469 = n - 3*o - 672454 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, t: 5, i: 7, x: 1, o: 2}. Give prob of picking 1 i, 2 o, and 1 x.\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 12:13 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1304315902.\nAnswer: 2, 53, 149, 269, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55 and 33595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.3, -3\/8, -1\/2, 8, -37\/2 in ascending order.\nAnswer: -37\/2, -2, -1\/2, -3\/8, -0.3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 47126041.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - l + 2*l + 34 = 0, -3*q - 2*l = 28. Let t = q - -61. What is t rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 219 and 36348744.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 120200212120 (base 3) to base 9\nAnswer: 520776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u. Let r(i) = 23*i**2 - 23 + 25 + 74*i**2 + 5*i - 5*i. Determine r(l(v)).\nAnswer: 388*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48042*c**3 - 27189*c**2?\nAnswer: -288252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 6*k. Suppose -275*x + 900 = 25*x. Let c(h) = -14*h. Let r(q) = -29*q. Let t(i) = 5*c(i) - 3*r(i). Give x*t(d) - 8*l(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -191.8 less than 1.900075?\nAnswer: 193.700075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38\/(-2) - 0)*(196 + -267 + 70)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*z - 2*z = 20, -5*u = z - 19. Let g(r) = 4 - 6 - 2*r**2 - 2*r + r**3 - u*r - r**2. What are the prime factors of g(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 2*s**2 + 5*s + 2 - 2*s**2 - 2*s**2. Let f(j) be the second derivative of 11*j**3\/6 - 7*j**2 + j. What is -6*f(a) - 17*q(a)?\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -13*s**3 - s. Suppose 254*d + 36 = 260*d. Suppose d*w + 48 = 42. What is q(w)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6905, -9710, -12515, -15320, -18125, -20930?\n\"Answer: -2805*j - 4100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 - 3*x - 2. Let a be v(-2). Let c be (2\/4)\/(14\/a). Suppose 29*o - 78 = -38*o - 11. Is o less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 30*v**2. Let m(c) = 2*c**2 - 5*c - 131. What is m(y(d))?\nAnswer: 1800*d**4 - 150*d**2 - 131","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 6*k - 11*k = -19, 2*m - 2*k + 4 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1666 divided by 2?\nAnswer: -833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (196\/(-1))\/((-2)\/1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, t: 4, k: 4}. Give prob of sequence wwkk.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -594*y - 2004 - 959 - 347 = -340 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p**2 + 33*p + 30. Let u(j) = -3*j**2 - 32*j - 30. Let g(d) = -4*u(d) - 3*y(d). What is the units digit of g(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*s = 18. Suppose -s*j = -3*j, 4*r - 192 = -3*j. Is r a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25063*a**3*i**2 - 3*a**3*i - 3*a**3 + 2*a**2*i**2 + 4*a*i**2 - 2*i**2 - 13476*i wrt i.\nAnswer: -50126*a**3 + 4*a**2 + 8*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24206022*v**6 - v**5 + 40171568*v**2.\nAnswer: -2904722640*v**3 - 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63330965?\nAnswer: 5, 383, 33071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24491 by -3.\nAnswer: -24491\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 48\/(-9)*(-3)\/2. Let f be ((-2)\/r)\/((-2)\/8). Differentiate d - f + 0*d + 0*d with respect to d.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10498902 and 1521580.\nAnswer: 104989020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2857150, 5714292, 8571430, 11428564, 14285694, 17142820, 19999942?\nAnswer: 22857060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nvn when three letters picked without replacement from {v: 16, n: 3, h: 1}.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 + 28. Suppose -5*f + c*i = i - 915, -4*f = 2*i - 738. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14025500 - 300?\nAnswer: -14030200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172\/301 + (-18)\/56.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 1:49 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -5*t - 3*z + 6, -4*t - 18 = -2*z. Let q(g) = -g**3 + 2*g**2 - 4*g. Let y(u) = -u**2 + u. What is t*y(k) - q(k)?\nAnswer: k**3 + 3*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (((-20)\/24)\/5)\/(1\/(-2))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-3 - (5 + -3)) + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2333*f*o + 466*f wrt o?\nAnswer: -2333*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30\/7 + 178\/35. Which is the smallest value? (a) -2 (b) h (c) 0 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3309 equal to 3309?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by 1743.\nAnswer: -2\/249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 462750143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 65656909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1333 is divided by 124.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**4 + t**4 + 6*t**4 + 3*t**3 - 3*t**3 - t**4 + 2*t**4 + t**3 - t**3 + (-4*t**2 - 2*t**2 + 4*t**2)*(5*t - 5*t - 2*t**2) + 0*t**4 - t**4 + 3*t**4.\nAnswer: 10*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6315, -12297, -17959, -23301, -28323?\nAnswer: -33025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00032573 to 5 decimal places.\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l - 1. Let x = -380 - -511. Suppose 4*k - 3*t = x, 4*t + 53 + 111 = 5*k. Calculate the remainder when k is divided by p(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*b - 35 = 57*b + r, -r = -4*r + 5 + 4 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -323 + 198. Let f = r - -174. Calculate the highest common factor of 98 and f.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -19, -1\/2, -1, 0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4a548 + -a?\nAnswer: -4a557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 22*c - 14. What is n(15)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9583 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 d = -109\/8 + 105\/8. Let z = -2 + 4. What is the smallest value in z, -1\/6, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 516, 515, 514, 513, 512, 511?\nAnswer: 510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 37*o**2 + 37*o - 110. Calculate i(-38).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 237250 rounded to the nearest ten thousand?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1914 is divided by 273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**3 - 2*m**2 + 7*m - 8. Let n be c(3). Which is bigger: -0.1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23168717 times 16\nAnswer: 370699472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*b = -648, 7*b = 3*b + 12. Suppose -3*n + n - 3*p + v = 0, n + 2*p = 110. Is 12 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 423*a - 78*a - 10367 = 7512 + 14206 for a.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 2*w - 854, 0 = -5*w - 0*w - 25. Let t = u - -6903\/8. Find the common denominator of 6 - (488\/130 - 12\/78) and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 252720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 21*n + 22. Let f be y(-20). Let s(w) = -8*w**f + 2*w**2 + 5*w**2 - 3*w**2. Let a(d) = -d. Determine a(s(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184 = -150*b + 87*b - 121*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 619386809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001100 + -11?\nAnswer: 1001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00538350574 to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/641 (b) -3\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 9:09 PM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + -1)*(-15 - 6). Let i be (-70)\/x - (-8)\/(-6). Factor -5*t - 37*t**2 + t + 35*t**i.\nAnswer: -2*t*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*a + 10. Suppose -o + 1 = -a. Suppose 3*s - 4*s = -12. Calculate the least common multiple of o and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*5\/(-3) - -7. Solve 2*j + d = -2*l, 2*l + 4*j = -l - 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*o + 15. Suppose 0 = o*v - 10 - 2. Suppose -4*y + v*z - 4 = -0, -5*y = z - 14. Put y, -1, -5 in decreasing order.\nAnswer: y, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 191028 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10212 - 32440?\nAnswer: -22224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 8:58 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + j + 0*j)*(-20 - 22*j + 20)*(-24 - 28 + 48).\nAnswer: 264*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -9*b**3 + 7*b**2 - 9*b - 5. Let h(k) = 3*k**2 - 3*k + 26 - 28 - k - 4*k**3. Determine 7*h(s) - 3*u(s).\nAnswer: -s**3 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x - 3342 = -3247. Let v(t) = t**3 - t**2 + 3*t. Let s be v(5). Calculate the greatest common divisor of x and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 376*21\/(-105)*(-10)\/4. What is the highest common divisor of 141 and m?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*k + 6*k - 7015. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/7 + 650\/35.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*679428\nAnswer: -67942.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-2)\/20*6\/(-18)). Suppose 51*v + f = 56*v. Solve -v*z + z = -25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - u = -25, v - 3*u = -4*v + 10. Let y = 0 - -3. Suppose -99 = -y*z - 5*h, -v*z + 2*h + 165 = -3*h. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18 and -0.069?\nAnswer: 1.242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -39 divided by 18\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -36 (b) -2\/21 (c) 1 (d) -3 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -m**5\/60 + 3*m**4\/8 + 2*m**3 - 4*m**2. Let k be g(10). Solve -10 = -l - 3*v - v, -19 = k*l - 5*v for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 20216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2173 - 2135 - (6 + -72).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08*1371.\nAnswer: 109.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*f - 15, 3*f - 16 = -5*r + 10. Let l(o) = o - 8. Let t be l(r). Do 6 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1230\/984)\/((-45)\/1044)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/6 - 16\/3. Let t be 3 + k - 14\/(-4). Which is greater: 7 or t?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 370747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -461\/1953 - -3\/217. Let s = 127 + -637\/5. Which is the nearest to m? (a) s (b) 0 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/6 + (-63)\/21. Which is the third smallest value? (a) -7.2 (b) n (c) 4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) - -1*sqrt(539) - (0 + (sqrt(11) + sqrt(11) + -1 - sqrt(11))))**2 - sqrt(110)\/(sqrt(90) + sqrt(90)*-3).\nAnswer: 157*sqrt(11)\/6 + 1860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = x + 8, 0*b = -2*b + 4*x + 26 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 91 + -100. Let n(g) = g**3 + 4*g**2 + 3. Let r be n(-3). Let f = r + i. Solve -21 = 3*x - 3*m, 3*x + f*m + m + 7 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bi when two letters picked without replacement from fcbcfccii.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a - 5*a + 3 + 2*a**2 - 3*a**2. Let h be 8 - 1 - (-140)\/(-28). Calculate f(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + 2*(sqrt(187) - -1*sqrt(187)) + sqrt(187) - (sqrt(187) + 5*(-1*sqrt(187) - sqrt(187))))\/(1*sqrt(33)\/sqrt(3) + sqrt(396)).\nAnswer: 15*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.09? (a) 2\/21 (b) 3\/5 (c) -32 (d) 1\/4 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and (3\/(-1))\/(6\/(-20))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 0 - 2\/4)*2. Let v(q) = -11*q - 7. What is v(w)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 81*f + 1. Let p be w(-1). Let l = p + 130. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/68662 and 75\/2646608.\nAnswer: 29112688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 s when three letters picked without replacement from uospssujjjsszujzjojs.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 520466 by -5.\nAnswer: -520466\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 f, and 1 x when three letters picked without replacement from {z: 4, f: 2, j: 3, e: 1, i: 1, x: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*g = -66, -y + 2*y + 4*g = 39. Is y a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-735 - 105*t - 739 + 1506)*(-6*t + t + 3*t).\nAnswer: 210*t**2 - 64*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -360*q - 15. What is g(-1)?\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((24\/(-33))\/2)\/((-2502)\/1529). Factor 0 + 10\/9*y - m*y**2.\nAnswer: -2*y*(y - 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-16))**(-1\/25)*p**(-2\/53)\/(p*p**(1\/2)*p) assuming p is positive.\nAnswer: p**(-5029\/2650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a - 4. Let w = -9 - -4. Let c = 2 + w. What is r(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -10*c**3 - 3*c**2 - 3*c. Let d(g) = -g**3 - g**2 + g. Let b(n) = -3*d(n) + v(n). Find the second derivative of b(h) wrt h.\nAnswer: -42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in nineteen quarters of a kilometer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -14. Let g = 5389 - 5388.7. What is the nearest to f in -5, -3, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 124 - -8. Let d = -150 - -162. Calculate the greatest common divisor of d and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1828, 1708, 1588, 1468, 1348?\n\"Answer: -120*k + 1948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23319 - -53164. What is l rounded to the nearest one thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*t = -130*t + 8657. What is the units digit of (30\/(-18))\/5*t*3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 <= -54.79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-27)\/(-9) + 1 + -2 + 3. Solve z = -2*m + 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2. Let l(x) be the second derivative of 1841*x**3\/3 - 522*x. What is a(l(d))?\nAnswer: 27114248*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.577756728 rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32? (a) -1 (b) -3\/5 (c) -335 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 3*x - 6 = -j, -2*j - 3*x + 30 = 0. Suppose t + 0*t = j. What is the lowest common multiple of 18 and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*m + 3*m, -v + 5 = 4*m. Let b(w) = -2*w**3 - 2*w**2 - 2*w + 2. Let x(a) = -8*a**3 - 9*a**2 - 8*a + 8. What is v*b(s) - 2*x(s)?\nAnswer: -2*s**3 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - 48\/(-684)*(3887\/(-26) - 4\/2)?\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 7:56 PM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238*i**3 + 58*i**2 - 182*i**2 + 59*i**2 + 65*i**2.\nAnswer: 238*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2012279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 710 + -705. Suppose -3*j = 4*v - 183 - 2813, y*v + 5040 = 5*j. What is the hundreds digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 168\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a + 4. Let z(y) be the third derivative of -y**5\/15 + 5*y**4\/8 + y**3\/2 - 57*y**2. Let k be z(4). Let m(l) = l + 1. Calculate k*s(g) + 4*m(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1121051 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t + 7*l - 472 = -514, 0 = -3*t - 4*l - 17 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -74 - 4*p + 74 in the form y + n*p and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x - 16*x - 84 = 0. List the prime factors of x.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4171*m**2. Let w(v) = 3*v**2. Give u(w(s)).\nAnswer: -37539*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -245? (a) 1\/8 (b) -5 (c) 0 (d) 0.32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 4*v = -18, 12*v = -s + 7*v - 17 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 27. Suppose -8 = -22*a + o*a. Is 21 a factor of a*(-4)\/48*357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i**2 + 5*i. Let x(r) = -16*r**2 - 25*r. Suppose 0 = 2*f + f + 66. Let k(c) = f*j(c) - 4*x(c). Find the second derivative of k(w) wrt w.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 - 43. Let b be -2 + 12\/(t\/(-3)). What is the remainder when 8*(-15)\/(-3)*b is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m - 1. Suppose p = i + 1, 2*i = -5*p - 0*i + 12. Let o(g) = -30*g - 33. Let a(l) = p*o(l) - 66*z(l). Let r(c) = -6*c**2. Determine a(r(u)).\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/16)\/((-13)\/26)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1650 - 1642. Solve -20 = 4*g - 4*a, 3*g = -a - 3 + m for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w - 597*w**3 - 2 - 2*w**4 + 599*w**3 - w to u*w**2 + r*w**4 + p*w + v + k*w**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/107757 and -137\/1842?\nAnswer: 215514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25? (a) -1\/4 (b) -1\/9 (c) -3\/8 (d) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 - 38. Let h = 1 + -1. Suppose 3*k + 1 + 2 = h. Which is the biggest value? (a) k (b) l (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 8:40 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/5 (b) -5\/3 (c) -5632\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -10*((-54)\/24)\/((-6)\/(-4)). Let w(h) = -h**3 - 5*h**2 + 7*h + 9. Let g be w(-6). What is the greatest common divisor of g and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2528 bigger than -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -6*l + 5. What is the lowest common multiple of l\/(3 - 2)*2 and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 6398.\nAnswer: 25592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -393*q - 48 = 4*z - 391*q, 4*q + 32 = -4*z. Suppose 3*c - 5*c = -4, -2*a - 12 = -4*c. Put a, -4, z in descending order.\nAnswer: a, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 5 + 6)*(2*j + 3*j - 3*j) - 2*j + 4*j + j.\nAnswer: 19*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27\/50 + 1\/25. Suppose 3*j = 2*h + 102, -2*h - 158 = -5*j + 16. Let t = 181\/5 - j. Which is the biggest value? (a) t (b) o (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 992, 4073, 9208, 16397?\n\"Answer: 1027*r**2 - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8021696 to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12281 + 13012. What is the highest common factor of 1377 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02244 to 3 dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2552 - -1404. What are the prime factors of c?\nAnswer: 2, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4*s + 1. Let p(g) = g. Let q be ((-4)\/(-10))\/(4\/(-140)). Let k(n) = q*p(n) - 4*x(n). What are the prime factors of k(7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 + 64 - 92 = 3*n + 2*m, 2*n - 835 = 13*m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1607145574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 18. Suppose -5*n + h*l - 31 = -1, l - 22 = 5*n. What is the biggest value in n, 0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 + 10*d**2 - 21*d**2 - 7 + 2.\nAnswer: -9*d**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(17) + (sqrt(17) - (sqrt(2448) + 0)**2) - (1*sqrt(2057))**2 - sqrt(153)\/((sqrt(90)*-3 - sqrt(90))\/sqrt(10))) + 5.\nAnswer: -22520 + 45*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16882570*q**3*u - 2*q**3 - 167905*q**2 + 7*q + 2 with respect to u.\nAnswer: -16882570*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 h when four letters picked without replacement from {k: 3, c: 4, h: 9}?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of 28*z**6\/3 + 2*z**5\/5 + 329*z**3\/3 + 496. Find the third derivative of s(t) wrt t.\nAnswer: 3360*t**2 + 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 4*r + 48 = 0. Suppose 3*x + r = 6*x. Let o(l) = -3*l**2 + 23*l + 21*l - 41*l - x + 4*l**2. Determine o(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 6:32 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 7*q + 12 = 4*f, 3*q = -5*f + 15. Let b be (2\/35)\/(3936\/820). Which is smaller: q or b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 31 = i. Suppose -4*h + 629 + 182 = 5*a, i*a = 5*h + 494. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + (-2 - (4 + (2 + -19 - -10)))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -2 (c) -1\/9 (d) 0.2 (e) -2075 (f) -179 (g) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 211, 412, 613, 814, 1015?\n\"Answer: 201*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(29*z**5 + 46*z**5 - 37*z**5).\nAnswer: 38*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -n + 36, -3*n + 91 = -4*m + 2*m. What is the second derivative of n*t**2 - 9*t - 536 + 524 + 45*t**2 wrt t?\nAnswer: 152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1827601 and 50911?\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 4*d, 0 + 1 = 3*d + 2*z. Suppose 3*m + 7*y - 35 = 2*y, -8 = -4*m + d*y. Factor l - 4*l**3 - 13*l**m + l + 15*l**5.\nAnswer: 2*l*(l - 1)**2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -1\/58?\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21706?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -38. Let i = n + -16. What are the prime factors of i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -41\/3 in 2\/153, 4, -8\/9?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 60*c - 145 + 85. Suppose 15 + 0 = 5*y. Put 4, y, c in decreasing order.\nAnswer: 4, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 21398, -872 in descending order.\nAnswer: 21398, -5, -872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-504)\/(-420) - (-98)\/(-40)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o*t**3 + 2*o*t**2 - 18*o*t - 79*t**3 wrt t?\nAnswer: 12*o - 474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of g**3\/6 + g**2 + 6198*g. Calculate a(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -476 = -7*a + 4809. Does 29 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 0*o + 0*o**2 + 2\/3*o**3 - 46. Let a(f) = 166*f**2. Calculate a(s(i)).\nAnswer: 664*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = g - 6 - 2, 4*g - 3*m - 17 = 0. Let a be (-4)\/(-6) - 26\/(-6). Let q(w) = -a*w + 4*w - 2*w + g*w. Let l(v) = -8*v. Determine l(q(f)).\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x - 16 = -20*o + 16*x, 2*x = -3*x + 55 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 128 - 147.56. Let g = l - 0.44. Which is the second biggest value? (a) 3\/4 (b) g (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, w: 4, e: 1, n: 2}. What is prob of picking 1 m, 2 n, and 1 e?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 73 or 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b + 1. Let s = -7 + 11. Suppose 0 = -s*r + 3*r. Suppose r = -4*q + t - 7, -6*q + 2*q + 5 = 3*t. Give y(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -5*v**2 + 4*v - 4. Let o be (-2 - (2 + -9)) + 1. Let j be y(o). Is 16 a factor of ((-6)\/(-5))\/((-6)\/j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4*g + 4. Let z be b(6). Let a(v) = -v**2 - 17*v + 61. What is the remainder when 1 is divided by a(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 639509 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5751 + -224275\/39. Let v be -8 - (1092\/(-91) + (9\/(-3) - -8)). Which is greater: v or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -319743800 rounded to the nearest one million?\nAnswer: -320000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 9 = 131. Let s(c) = -98 + 27 + m + 6*c + 33. List the prime factors of s(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(120)\/sqrt(6) - sqrt(20))*2)\/sqrt(4))**2 - ((sqrt(320) + sqrt(320)*-1)**2 + sqrt(30)\/(sqrt(12)\/sqrt(2))))*-2 + 5.\nAnswer: 2*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -37721?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.610012 - 7.3899912. Let v = -1.07 + -9.93. Let l = v - j. What is l rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1577304 (base 11) in base 7?\nAnswer: -31566420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15, -10, 55, 210, 485?\n\"Answer: 5*r**3 - 30*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -23*n**3\/3 - 6*n - 5. Differentiate t(l) wrt l.\nAnswer: -46*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*l**2 - 4705*l + 4718*l - l**3 + 1 + 2*l**3 to y*l**3 + q*l**2 + c + b*l and give q.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105.3194m to centimeters.\nAnswer: 10531.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 674\/45 - 76\/5. Let x = 29 - 43. Let q = x - -14.1. What is the closest to q in -3, j, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78787031?\nAnswer: 78787031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 11*r**2 - r + 16. Calculate h(-11).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 0.1, 1, -0.34?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -110014 (base 7) to base 10\nAnswer: -19219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1632 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-11)\/(-4))\/(10\/80). What is the greatest common factor of t and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(3\/((1 - 0)\/(-1)))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 267318.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*x - 17*x + 0*x)*(1 + 1 - 20 - 65).\nAnswer: 830*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 14220014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2. Let j(i) = -4*i**2 + 63. Calculate 3*f(w) + j(w).\nAnswer: -w**2 + 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hwb when three letters picked without replacement from cbwhxbch?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 904*h - 10841 = 13740 + 11579 for h.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + c - 6*c = -23, k = -c + 7. Suppose 6*h = h + 2*h. Suppose -10*n + 88 + 32 = h. What is the least common multiple of k and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*u - 6796 + 6598. Solve -5*q = 3*p - u, -4*p - 6*q - 11 = -11*q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 26 = -3*p, 12*p = -5*t + 8*p - 28. Sort -1, 3, t, -5.\nAnswer: -5, t, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b = -10*b + 3*b + 3340. What is the remainder when b is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 43?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5 = -4*m + 21, -o - 2*m + 12 = 0. Is 8 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 11 - 5*c**2 - 2*c - 19 - c**3 + 2*c**3. What is the remainder when d(6) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 26 = -4*y, y + 4*k = 3*y + 2. Solve z - 11 = -4*z + l, 0 = y*z - 5*l - 15 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3 = 13, 0 = p - 3*c + 20. Let r = 33 - p. Suppose t + 9 = 4*x - 3*x, -r = -4*x + 5*t. Calculate the lowest common multiple of x and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-20)\/(-3))\/(38\/(-57)). Let l(g) = -g**2 + g + 1. Let a(h) = 5*h**2 - 10*h - 10. Let m(r) = z*l(r) - a(r). Let p(c) = -c. Determine p(m(b)).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2136 + -2136.22675. Let h = -0.233 - g. What is h rounded to four decimal places?\nAnswer: -0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 1:01 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 569 and 526086589.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and 549.9?\nAnswer: 554.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 12 = -4*o, 5*c - 1 = 4*c - o. What is the tens digit of c\/4 + (-1555)\/(-2) + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/3))**(2\/31)\/(((r**(-1\/11)\/r*r)\/r)\/r*r**(1\/5)) assuming r is positive.\nAnswer: r**(9562\/5115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(684)*2)**2*4.\nAnswer: 393984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t + 1. Calculate k(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-13 - (-2 + -10))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3697671 rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1)\/(d*d**5*d)*(d*d**(2\/3))**(-45)*((d**1\/d)**3)**(6\/5) assuming d is positive.\nAnswer: d**(-83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -64 in ascending order.\nAnswer: -64, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(-4\/5)*r**(-8)*r**(-4)\/(r*r\/((r*r\/r**(-3)*r*r*r*r)\/r)*r*r)*r**(1\/7)\/(r\/r**(2\/3))*(r\/r**(1\/5))\/r**3 assuming r is positive.\nAnswer: r**(-902\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 492317 divided by -2?\nAnswer: -492317\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 45726464 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**3 - z**2 + z. Let u be a(1). Let n(o) = o**3 + 3*o**2. Let j(h) = -h**3 - 2*h**2. Determine u*n(g) - 3*j(g).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 116*h - 98*h + 3*w, h + 8 = -w for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 48*w**2 - w - 1. Let v be d(-1). Let m be 74\/(-3)*-3 + -2. Calculate the highest common factor of v and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3599899319?\nAnswer: 3599899319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j + 6*j - j**3 - 3*j**3 + 62*j + 7*j**3.\nAnswer: 3*j**3 + 66*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 divided by -650490?\nAnswer: 3\/43366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 744559.\nAnswer: 744559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 11:06 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -101846*v + 101855*v + 188, 4*v = 5*a - 113 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 1153?\nAnswer: -1152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -4, 0.8, -9, -3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -178 + 263. Suppose 4*y + 4*j + 100 = 0, 0*y + 2*y - 5*j = -f. Let l = y + 51. What is the greatest common factor of 21 and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3643 and -19959372?\nAnswer: 19959371.6357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 73*t**2 + 21*t + 130. What is the derivative of s(o) wrt o?\nAnswer: 146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1)**(-41)\/(r**1)**(-4\/11))**42 assuming r is positive.\nAnswer: r**(-18774\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-67.\nAnswer: -6.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150697 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -136, -94, 20, 242, 608, 1154, 1916?\n\"Answer: 6*v**3 - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkekkkkkkek. What is prob of sequence kke?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/11 and -69\/154.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 5*i + 2. Let o be p(6). What is the remainder when 98\/o*(-12)\/7 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50 - 7. Let a = -43.00312 + i. Round a to 4 decimal places.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 2*r + 35*r. Solve -3*h - 2*k - 8 = r, k - 22 = -21*h + 26*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rcrrcrvrvvcrcr. Give prob of picking 2 r and 2 v.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 2:32 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 124 = 5*n, -r + 4*r - 186 = -3*n. What is the remainder when r is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 20. Suppose 4 = 3*o - w*o. Is o\/((-4)\/(-3032)*-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-2)*62\/(-5). Let h = -123\/20 - g. Find the common denominator of -85\/18 and h.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -198*z - 18 - 14 + 44 + 267*z - 14. Let l(f) be the second derivative of -f**4\/6 - 3*f. What is l(i(u))?\nAnswer: -9522*u**2 + 552*u - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -13*y**3 - 110*y**2 - 560*y. Let w(a) = -11*a**3 - 110*a**2 - 560*a. Let d(p) = 3*s(p) - 4*w(p). Determine i, given that d(i) = 0.\nAnswer: -14, -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5230 and 1569?\nAnswer: 15690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uod when three letters picked without replacement from uodo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5*b. Let s = -838 + 844. Let y = 12 - -12. Let v(u) = s*u + 12*u - y*u. Calculate v(a(n)).\nAnswer: 30*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/2*32\/(-6). Suppose -4*f - 3*s - 19 = 0, 0 = -4*f + 3*f + 5*s + k. What is the units digit of ((-28)\/(f + -1))\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 83\/2, 2, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1900 a factor of 23763300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -3. Let p = -8 - j. Let f = p + 11. Which is bigger: 0.1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*h + 53040 + 3391 = 2088*h - 59545 for h.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 383*4\/(-44) + 6\/(-33). Let o be (-147)\/j + (-2)\/10. Solve -2*b = 5*d, 0 = o*b + d + 15 + 3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2861704 and 201.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -164883930 to the nearest one hundred thousand.\nAnswer: -164900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-4)*(-40)\/285?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**3\/7 + 136*v**2\/7 + 130*v\/7 - 268\/7 = 0 for v.\nAnswer: -67, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -119140 take away -0.2?\nAnswer: -119139.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*y - 107*y + 41 - 8 - 20 + (2*y - 4*y + y)*(2 + 2 - 3) - 3*y + y + 0*y + 0*y + 3*y - 2*y - 2*y + 3*y - 2*y to c + f*y and give f.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.64 - -44.36. Let f = o - 53. Which is smaller: f or 2\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1185, -3, 2572 in decreasing order.\nAnswer: 2572, 3, -3, -1185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/70 - (-62)\/70. Let g = 76 - 155\/2. Let l = 4.09 - 2.09. Which is the smallest value? (a) g (b) l (c) 3 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - -5. Suppose -3*y = -c - 99, 9 = -2*c + 3. What is the remainder when y is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -164 - -176. Suppose -2*s + 406 = x*s. Solve -2*q + s = 5*f, 5*q = 5*f - f - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -682*t - 671*t + 1350*t + 13 + t**3 as k*t + g*t**2 + y*t**3 + v and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/(-3) + 0)*1. Solve 4*w - 3*f + 27 = d, -w = -4*f + 9 + 14 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -6*n + 115. Suppose 0 = 8*d - 0*d. Calculate the remainder when f(d) is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 10:16 PM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1188)\/(-1) + -7 + 11 + -4. Calculate the greatest common factor of 132 and r.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 436054*i**5 - 930433*i?\nAnswer: 8721080*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**2 + 0 + 0 + (-v + 6*v - 3*v)*(-2*v - 2*v + 3*v) - 47 + 47 - 25*v**2.\nAnswer: -29*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x + 69. Calculate b(32).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 14*c - 19. Let f be n(15). Let d be 51\/(-85) - f\/(-10). Is 1568 - 32 - (d - -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14726.75 - 0.060132693?\nAnswer: 14726.689867307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -180, -532, -1192, -2262, -3844, -6040?\nAnswer: -8952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/2 - 1903*i**2 + 19051*i\/2 - 7622.\nAnswer: -(i - 4)*(i - 1)*(i + 3811)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bppppbbbpb.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*i - 68 = 2*i, 4*i - 100 = -4*f. Let p = 56 - f. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 10 = 3*v, 0 = 5*n + 3*v + 1945. Suppose 2*k - 297 + 6468 = 5*u, 5*k - 2451 = -2*u. Let w = u + n. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 9) to base 15.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 226173309?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 18 + (-9 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/2*(9 - 8)*11. What is the units digit of (-6*w\/12)\/(2\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/1295 and 28\/4784285.\nAnswer: 33489995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - (-2 + 0))*1. Let f = 92.1 - 91.6. What is the nearest to -0.03 in -3, f, r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88236 and 21640392?\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**3 - 204*o**2 - 5202*o = 0. Calculate o.\nAnswer: -51, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 40 = -4*z, -24 = -3*a - z + 10. Suppose 3249 = -a*k + 10014. Calculate the greatest common factor of k and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1577 + -1777. Let u be h\/(-75) - (2 - 0). What is m in 4*m**2 + u*m**3 + 16\/3 + 8*m = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.5 (b) 7\/4 (c) -0.1 (d) -0.2 (e) 76\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 22*w + 29. Let b(d) = -2. Let p(n) = 6*b(n) + x(n). Let o be p(3). Let u = o - -43. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 1 - 2 + (0 + 1 + 4)*(-3 + 2 - 1))*(-1 + 1 - g**2)*(-43*g + 33*g + 20*g) as u*g + s*g**3 + d + y*g**2 and give s.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 9*d**2 + 9*d + 5. Let v be w(-8). Let b = 392 - 580. Is (b\/v)\/(4\/6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -16*q**2. Let j(r) = -343*r**2. Determine j(d(l)).\nAnswer: -87808*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**4 + 21612*d**3 + 26049036*d**2 + 26027428*d = 0. What is d?\nAnswer: -3589, -1813, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l**2. Let o = 730 - 726. Let n(u) be the second derivative of 0 + 0*u**3 - 1\/12*u**o + 0*u**2 - 3*u. Determine n(p(b)).\nAnswer: -16*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 + 48. Let c be (4\/(-35))\/((-4)\/(-10)). Is c at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 c when two letters picked without replacement from {c: 4, u: 2, a: 2, y: 1, r: 2, t: 1}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a decade in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 730.219 + -790.2241. Let o = 61.22 + -1.22. Let j = l + o. What is j rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12250 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60112896 and 3584.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19015*v - 23897 wrt v.\nAnswer: -19015","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 428*v**3 + 817*v**3 + 435*v**3 + 767*v**3.\nAnswer: 2447*v**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 973 a factor of 22800309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*(-4)\/32*(-5720)\/132.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 84\/95 in 1, 4, 1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 12169783.\nAnswer: -24339566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -13*r**2 + 3*r + 4. Let n be z(-2). Let k be n\/18 + 1*9. Let v(p) = 247*p + 45. Is v(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 16 = -4. Suppose 1 = 2*s - h*y - 7, 2*y = -4*s + 16. Let u(n) = -n**3 + 5*n**2 + 5*n - 5. List the prime factors of u(s).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/3860 and 3\/220.\nAnswer: 42460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + 3 + 4 + (sqrt(50)\/sqrt(10) - sqrt(5))*-6 + -2.\nAnswer: sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**5\/4 + 155*g**4\/2 + 11319*g**3\/2 - 58455*g**2 - 2531439*g\/4 - 1137645\/2 = 0.\nAnswer: -159, -6, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1260\/21 + -62)\/(-3 + -33)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60.1 - 60.0023. Let o = f - 0.0584. What is o rounded to three dps?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 10*r**2 - 9*r - 2. Let i be b(11). Let z = -2 + i. What is the least common multiple of z and 1400\/63 - (-2)\/(-9)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 - 10 + 6)*(s - s + 3*s)*(-s - s + 6*s) to b + p*s + f*s**2 and give f.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -153*49\/((-17199)\/(-78))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 23*o**2 - 80*o + 25. Calculate n(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 7.6 (b) 2 (c) -0.4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 733 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -11*k - 8. Let u(z) = -9*z - 7. Let h(m) = -6*u(m) + 5*v(m). Calculate h(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.83952 rounded to 2 dps?\nAnswer: 34.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 3*p**2 + 2*p + 179. What are the prime factors of k(0)?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-128)\/(-20))\/(12\/(-120)*(-6)\/(-3))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -3\/7865?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18\/42)\/((-738)\/(-2184) + 12\/(-52)). Factor 0 - 2\/5*b - 2\/15*b**h - 2\/15*b**3 + 2\/3*b**2.\nAnswer: -2*b*(b - 1)**2*(b + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqviiimbvivvvbvvb. What is prob of picking 2 i and 1 v?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.99 + 7.59. Let o = -3.62 + f. Let h = 3.9 + -4. Put 0.2, o, -3, h in descending order.\nAnswer: 0.2, o, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(171)*-6 - sqrt(171)*1).\nAnswer: 42*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(189) + sqrt(189) - sqrt(189))\/((sqrt(7) - (sqrt(175) + (sqrt(175) - -1*sqrt(175))) - sqrt(7)) + sqrt(7)))**2.\nAnswer: 27\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**3 - 14*r**2 - 3*r - 13. Let t be y(-7). Suppose -t*i = -13 - 155. Suppose -3*n = n - 160. What is the remainder when n is divided by i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 22*k**2. Let a(x) = -2*x**2 - 4*x - x**3 + 4 + 5*x + 3*x. Let p be a(-3). What is the least common multiple of t(p) and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**2 + 1 - 1 + (-3 + 4*b + 3 + (-2*b + 4 - 4)*(-2 + 1 - 1))*(-2*b + 4*b - b).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1066740, -1066741, -1066742, -1066743, -1066744?\n\"Answer: -s - 1066739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10957103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346530 is divided by 208.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1581 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6.65 from -35.\nAnswer: -28.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1235, 9263, 31041, 73445, 143351?\nAnswer: 247635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 12.8, -2\/7, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2784780916?\nAnswer: 2, 137, 5081717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40798, -52396, -63994, -75592?\nAnswer: -87190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cooeeccggec. Give prob of sequence oog.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -98*a + 127*a - 116. Solve -8*q + a*q = -4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 8*i**2 + i - 5. Let g be x(8). Suppose 4*d = g*v, 5*d + 2 + 1 = 3*v. Is ((-2)\/v)\/((-4)\/(-536)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + -8 - -3)*(-1)\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 + -5. Suppose -t = -2*i + 151. Is i a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 3. Suppose -v*l + 2*s + 23 = 0, -2*l - s + 0*s = -11. Find the third derivative of g**6 - g**2 - l*g**6 + 3*g**6 - g**2 wrt g.\nAnswer: -120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-4))\/((-4)\/(-104)). Suppose 4*f - v = 57. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1869607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 0*2\/(-16))\/3\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -58, -59?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3837?\nAnswer: 3, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-11)\/(o\/(o\/(o**(-1\/17)\/o))) assuming o is positive.\nAnswer: o**(-169\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 g when three letters picked without replacement from cgcc?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2602553029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l**2 - 12. Let s be z(-2). Solve r - 14 = 5*f, s*r = 4*r + 2*f + 10 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*f**3*h**2*t*z - 3*f**3*h**2 - 992*f**3*z + f*t*z + 22*h**2*t wrt z?\nAnswer: 2*f**3*h**2*t - 992*f**3 + f*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.41 + -4.31. Let b = 3.8 + o. What is the closest to 1\/3 in b, -6, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 27?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-6) + (-10)\/(-15). What is the derivative of x*p + 3*p**4 + 3*p - 1 - 3*p wrt p?\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -654 + 668. Solve -n = 2*l - 4*x, l + 4*x - 22 = -5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(0*d - d + 3*d) - 2*d - 5*d + 4*d + (-1 + 6 - 2)*(3 - 3 + d) + 0*d - d + 0*d - 1 + d + 1 + 44*d - 16*d - 19*d.\nAnswer: 11*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45.76 + -56.76. Put -5, -4, 0.5, g, -3\/10 in increasing order.\nAnswer: g, -5, -4, -3\/10, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35 (base 9) to base 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, i: 1, p: 2, x: 1, b: 1, c: 3}. What is prob of sequence clli?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 + 10*k - 7 - 7*k + (3 - 3 - 2)*(-3*k + 2*k + 3*k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0981 - -0.2981. Which is the closest to -4? (a) z (b) 0.4 (c) 1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.93887m in nanometers?\nAnswer: 98938870000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - ((-64)\/(-56) - (-2)\/(-14)). Put d, 1\/9, -4 in decreasing order.\nAnswer: 1\/9, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 82956, 92702, 108946, 131688, 160928?\n\"Answer: 3249*f**2 - f + 79708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1))**(-5\/2))**(3\/4)\/(y**(-2\/13)*(y*((y*y**0*y)\/y)\/y)\/y)**(1\/55) assuming y is positive.\nAnswer: y**(10741\/5720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5026*y = 5028*y + o - 37621, 2*o = -y + 18812. What are the prime factors of y?\nAnswer: 2, 3, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 219271961*j**2 - 532784557 wrt j.\nAnswer: 438543922*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -5*r + 935, -4*r + 3*k + 171 = -3*r. Suppose 181*o = r*o - 955. List the prime factors of o.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 2*v - 7*v - 4*v - v + 3*v + (-1 - 1 + 1)*(3 - 3 + v) + v + 3*v - 2*v - 2*v - 3*v + 3*v)*(-49 + 49 - 8*v) + v**2 - 3 + 3.\nAnswer: 49*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -265.4 + 263.4. Let a = 457 + -14166\/31. Sort a, q, 0 in descending order.\nAnswer: a, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2073145 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 116, 332, 732, 1376, 2324?\nAnswer: 3636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 264329 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -13453 + (2 + 0)\/(-1). Let d = 269167\/20 + k. What is the common denominator of d and (-62)\/56*-6*1?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 418422 (base 9) to base 14.\nAnswer: 66a0d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*p + 905 = 0, -l + 162 = 4*p - 59. Let x = -177 - -325. Let z = l - x. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 525 and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -153 + 158. Solve -i*b - 1 = -26 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1502*z**5 - 23*z + 1863*z**5 + 23*z + 2*z**5 + 3*z**5 - 6*z**5 - 4*z**5 + 2*z**5 + 4*z**5 + z - z**5 - z + (z**4 + z**4 + 0*z**4)*(0 + 2*z + 0).\nAnswer: 365*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 193 divide 60204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/(-12) + (-27761)\/1122 + 23?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -6*v + h, -64434*v + 4 = -64438*v + h + 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, o: 2, c: 1, a: 1}. Give prob of sequence ooc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6555629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 587 = 5*d + 552, -d + 22 = -4*n for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lbvdvvpvfflpbvvv. Give prob of sequence pdbp.\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-240)\/(-200))\/((-6)\/20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4\/250 - (-16270)\/(-1250)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -17\/8*m**2 + 0*m + 147 + 1\/12*m**3. Factor p(r).\nAnswer: r*(r - 17)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3)*11\/(-22)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 9:43 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 5*j = 3132 - 2987, y = 4*j + 107 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.7666691 rounded to 2 decimal places?\nAnswer: -37.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**3 + i**3 + i**3 + (1 + i**2 - 1)*(1 - 1 + i) + 0*i**3 + i**3 + i**3 - 3709*i**3 - 4345*i**3 - 26*i**3.\nAnswer: -8076*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(72)*6*-4)**2.\nAnswer: 1492992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 23916643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (4 + 39\/(-9))\/(3\/(-162)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1152.7 take away -0.217?\nAnswer: -1152.483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20410 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-4) + 2108\/8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sohychhscs. Give prob of picking 1 s and 1 o.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 51 + 154 = 33*u. Solve -u*q - y = 10, 101*q - 105*q - 9 = y for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -84*a + 17. Let n(o) = 22*o - 5. Calculate -9*n(i) - 2*z(i).\nAnswer: -30*i + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-9) + 720\/54. Suppose 3472 = -10*f + o*f - 4*i, 5*i - 874 = -f. What is the hundreds digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2728 and 534347?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4 + t**3 + 5*t - 2*t**2 + 11 - 8*t**3. Let d(s) = s**3 - s - 1. Let p(k) = 1292*k - 9049. Let g be p(7). Determine g*d(c) - m(c).\nAnswer: 2*c**3 + 2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/196)\/(6*8\/(-192)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, n: 5, x: 8, h: 2, v: 2}. What is prob of sequence aa?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2375183554.\nAnswer: 2, 16057, 73961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/8*-2*-46. Let n = m + 29. Does 2 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7370.6, -3, -2\/5 in descending order.\nAnswer: -2\/5, -3, -7370.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.18 to zero decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87544*f + 48972 = -86908*f for f.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 2\/5, 164697?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 5*z**5 - 200*z**4 + 45*z**3 + 14030*z**2 - 50660*z + 47880 = 0?\nAnswer: -9, 2, 7, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 72.057*33\nAnswer: 2377.881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -305 + 305. Suppose w = -7*f + 7346 - 1760. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 12, l: 1, y: 6}. Give prob of sequence ylg.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 12*y**2 + 2*y - 28. Let m be a(12). Let s be 3*(m\/(-6) + 0). Suppose d + 1 = -s*t, -4*d - 3 - 1 = 4*t. Solve -5*o + 2*o - 15 = t for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 33*c**4 + c**3 - 37*c**2 - 22937.\nAnswer: 132*c**3 + 3*c**2 - 74*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 0*u**3 + 1\/720*u**6 + 0*u - 2 - 1\/90*u**5 + 0*u**4 - 3*u**2. Let x(y) be the second derivative of f(y). Factor x(p).\nAnswer: p**2*(p - 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -67*n - 810. Determine m(-15).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + p**2 - p - 2. Let a(i) = 2*i**3 + i**2 + i + 3. Let s(v) = -2*a(v) - 3*n(v). Let r = -63 - -65. Let m be ((0 - 0 - -1) + r)\/(-1). Give s(m).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 8 - 22 + 0 - 343*d**2 + 674*d**2 - 335*d**2.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5176 or 37091?\nAnswer: -5176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 41*t - 3. Let b(k) = -k. What is p(b(s))?\nAnswer: -41*s - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1 + (0 - 4 + 5)*(-1 + 5 - 3) + 4 - 3 - 2)*(1541*w - 955*w - 4253*w - 3408*w).\nAnswer: 14150*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 37 and 399.\nAnswer: 14763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 443 - 113*x - 443.\nAnswer: -113*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of 2209*v**6\/120 - 3*v**4\/8 + 17*v**3\/3 + 466*v**2 - 1. What is the second derivative of m(u) wrt u?\nAnswer: 13254*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -s**7\/70 - s**3\/2 - 5*s**2\/2 + 3*s. Let r(h) be the first derivative of a(h). Differentiate r(z) with respect to z.\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 421668 and 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.632 + 0.05. Let r = b + -33.318. Let s = 33.8999713 + r. What is s rounded to six decimal places?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1161\/(-258))\/((-10)\/4)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b*b**(-2\/19)*b))\/b)**(-8\/3))**33 assuming b is positive.\nAnswer: b**(3168\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -y - 38 + 39, -5*y + 5 = 4*k. Suppose -247*b + 249*b - 18 = k. Let x(d) = -d**2 + 10*d - 11. Give x(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -546323.08.\nAnswer: -546323.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43677750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 609 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 19\/(-10) - (231*(-8)\/(-120) - 17)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(176) - (sqrt(176)*-5)**2)*2*2 + -6*(-4 + (4 + sqrt(176))*5)**2.\nAnswer: -80736 - 3792*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -75.532 - -223.951. Round l to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y**2 - 80*y - 50. Let d be z(-26). Let i = 2 - 2. Solve i = 3*u - d - 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + v + 140 = 0. Calculate the greatest common divisor of v and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -73199\/222778 - -57\/167. Let v = w + 1\/46. Is v at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*d = -13, -17*v - 4*d - 89 = -20*v. Solve 4*o - v = -m, 4*o - 7 = -5*m + 28 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.05 - 3.95. Let o = 46.2 + -41. Let d = o + -5.3. Which is the second biggest value? (a) 1 (b) x (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -8. Suppose 9*a - p*a = -10. Calculate the common denominator of a\/(-6) + (-199)\/(-60) and 49\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192 + 0.317.\nAnswer: 192.317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 232 in 5, 8, 4, -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 5*f - 4. Let k be (-15)\/(-3 + 2) + 2. Suppose l - 28 = -5*z, -5*l + k = 2. What is h(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1 (b) 0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 5*b - 6. Let p be -1 + 1 - -5 - 3. Suppose -4*d + x - 4*x = -33, -p*x = -5*d + 24. What is k(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70115543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15 - -18) + 250\/(-12) + 0. Let i = v + 58\/3. Factor 9\/4*w + i + 3\/4*w**2.\nAnswer: 3*(w + 1)*(w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -3*a**5\/5 + 10*a**2 - 3*a. What is the first derivative of r(v) wrt v?\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - 5)*3\/(-4). Suppose f - u = -3. Solve 3*c - 24 = -f*o - 6, -4*o + 12 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -s**4\/6 - 20*s + 5. Let y(p) = 8*p**2 - 2*p. Determine f(y(b)).\nAnswer: -128*b**4 + 64*b**3 - 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.63253 meters to micrometers.\nAnswer: 79632530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11, -45, 2, 1, -3, -2\/15?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 51 in 4\/19, -21\/2, 1\/7?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 130, 223, 290, 331, 346?\n\"Answer: -13*z**2 + 132*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 18, -24, -94, -198, -342, -532, -774?\nAnswer: -1074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 31 = k + k - 7*k, -k - 5*w = -135 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1303*y**2 - 17 - 21 - 2809*y**2 + 38)*(2*y - y - 2*y).\nAnswer: 4112*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -392 divided by -1?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -186*f**4 - 2139*f - 18. Let u(x) = -92*x**4 - 1070*x - 8. Let o(i) = 3*l(i) - 7*u(i). What is the second derivative of o(p) wrt p?\nAnswer: 1032*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -62*d**7\/105 - d**6\/60 + 11*d**5\/12 + d**3\/6 - 2*d**2 - 122. Find the third derivative of z(t) wrt t.\nAnswer: -2976*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -139627417?\nAnswer: 41888225.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1677772 to the power of 1\/3, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (50 - (5 + -7) - 5)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 4*p + 3664, -4*h - 3*p = -7*h - 2220. Let a = h + 891. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/1 + 2086\/7. Suppose -5*y + o = -0*y - 4*z, 3*z = 2*y - 123. What is the remainder when y is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f. Let m(k) be the third derivative of k**8\/4032 + k**5\/20 + 41*k**3\/6 - k**2 - 67*k. Let y(c) be the third derivative of m(c). Determine y(p(l)).\nAnswer: 80*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v - 12*v + 2*v + 8*v. Let w(i) = -42*i**2. Calculate l(w(d)).\nAnswer: -126*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1891*a = -1912*a - 126 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 199*c**2 + 2 + 76*c**3 - 220*c**3 + 70*c**3 + 2*c**4 + 72*c**3 - c in the form q*c + g*c**4 + f + t*c**3 + s*c**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 16, -3, 5 in decreasing order.\nAnswer: 16, 5, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -d - w + 27, 5*d + 31 = 4*w. Let k(c) = 6*c + 5. Calculate k(d).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + v + 42. Let u be i(0). Suppose 5*b - 2*t + u = 7, 0 = -2*b - 4*t + 10. Calculate the lowest common multiple of 2 and 4\/(b\/((-45)\/2)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 12975?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -88.43 + 88. Is w >= 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (46\/(-3312))\/((-504)\/896)?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 73*r**3*s**4 + 44*r**3*s + r**2*s**2 - 8*r - 222922*s**5 - 3*s - 38 wrt s.\nAnswer: 1752*r**3*s - 13375320*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 173372 and -1195931.\nAnswer: -1022559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 243033 to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xgg when three letters picked without replacement from gggggxggxx?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4603, -9293, -13983, -18673, -23363?\n\"Answer: -4690*d + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 665, 1126, 1587, 2048, 2509, 2970?\nAnswer: 3431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**2 - 4895917*g. Let q(v) = v. Determine j(q(m)).\nAnswer: -2*m**2 - 4895917*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 k when two letters picked without replacement from rpgrtrkgkkrptss.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 8. Suppose -2*j + 5*j = 0, -4*v - 5*j = -20. Suppose -w*b = -v*z - 64, 1 = -b - 2*z + 4. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + -2)\/(2 - 4). Let b(n) = 3*n + 1. Let t be b(j). Let m = -2 - -2. Solve -t*w - 3*a = -m*a + 20, 3*a = 2*w + 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6653 = 9*w + 6725 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/15 in -0.71, 0.4, -3\/2, 0.0409, 1?\nAnswer: 0.0409","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*p - 601 = -62*p + 444. Suppose 5*f = 3*h - 8, 12 = 2*f - 5*h - 0. Let t(n) = -n**2 - 8*n + 3. What is the remainder when p is divided by t(f)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29.8 or 7?\nAnswer: -29.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-11 + -4 + (16 - 44)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -w**5\/20 + 2*w**4\/3 - 4*w**3\/3 + 2*w**2 + 2*w. Let j be k(7). What is the tens digit of 105\/6 - j\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-5)*190\/38?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1561 in -0.2, -0.5, -4\/3, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-174 + 47*h + 174)*(2*h + 0 + 0 + (4*h + 2*h + 0*h)*(1 - 2 + 3)).\nAnswer: 658*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/10*-19*(-20)\/760. Let n(v) = v**2 - 2*v - 3. Let s be n(3). Let t be 2*116\/(-56) - -4. Which is the smallest value? (a) t (b) -0.4 (c) p (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15194 = 85*m + 27689 for m.\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 0 = -n. Let f(d) = n - 21 - d. Let h(c) = -2*c. Calculate f(h(y)).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 11*q + 3*q**2 - 11*q. Let t(k) = 406*k**2 + 145*k. Let x(m) = 17*m**2 + 6*m. Let n(g) = 6*t(g) - 145*x(g). What is d(n(w))?\nAnswer: 1682*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*m + 8*m + 11*m - 183 + 40 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62460?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 774528 and 768.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.2 + 3. Let h(j) = -2*j**3 - 8*j - 2 + 4 + j**2 + 5 + j. Let n be h(1). Which is the closest to n? (a) 0.3 (b) 5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 + 21)*22\/6.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8920.76 to the nearest 100.\nAnswer: -8900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (9\/6)\/((-66)\/8)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-1))\/((-51)\/(-2380)). Find the common denominator of -105\/34 and ((-845)\/a)\/13*-18.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2210547610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 e when two letters picked without replacement from meswd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 583 = 2*l - 255, -l - 1241 = -3*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/172, 53, 38\/3 in ascending order.\nAnswer: -5\/172, 38\/3, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -25\/4. Let z be 5\/2*8\/10. Determine y, given that -b*y - y**z + 1\/4 = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**5\/7 - 310*t**4\/7 + 4254*t**3\/7 - 18954*t**2\/7 + 33156*t\/7 - 2592 = 0. Calculate t.\nAnswer: -168, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0500027 - 0.05. What is g rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -88.3963 - -87.9963. Suppose 5*z - g = -0*g + 186, g - 156 = -4*z. Let u = z + -264\/7. What is the fourth smallest value in u, -0.2, o, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/((sqrt(72) + 3*sqrt(72))\/sqrt(6)) + 3 + (sqrt(5)*-3 + sqrt(5))*-1.\nAnswer: 3 + 9*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 y, and 1 x when four letters picked without replacement from jyzyuujx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**0*v)\/v*v*v**(-1\/4)*v*v**(-1\/4)\/v**3 assuming v is positive.\nAnswer: 1\/sqrt(v)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = q - 21. Suppose -q*d + 5 = -4, -l + 3*d + 128 = 0. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 10:11 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fzyfyyzz. Give prob of picking 2 z and 1 y.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1066 + -5?\nAnswer: 1061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-2 - 2\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/4 of a week?\nAnswer: 27720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 4. Suppose a*d = d. Suppose d = 2*q, 5*q = -0*u - 3*u. Solve g - 2*g - 5 = u for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*m - 3*m + 6*m)*(2*m + 4*m - 4*m) + 4*m**2 - 2*m**2 - m**2)*(5*m**3 + 6*m**3 + 4*m**3).\nAnswer: 45*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of 0*t**2 - 2\/35*t**5 + 0*t**4 - 3*t + 0*t**3 + 6\/49*t**7 + 0 + 2\/35*t**6. Solve z(f) = 0 for f.\nAnswer: -2\/3, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 10*g - 7 + 0 - 11*g. Calculate c(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 11:20 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/42 - (-172)\/(-3) - -16?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 9*r**2 - 408*r - 2768. What is j(-7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 - 106 + 82 - 16*y - 7 - 15.\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/(-50) - (-6)\/(-10). Let h be 6 + (-1 - -4)\/s. Suppose -5*x + 23 = -0*d + 4*d, 0 = -d + h*x - 7. Solve n - 1 = d for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 828?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 7*s**2 - 1 + 3*s - 8*s**2 + 2. Let u(v) = -v**3 + 20*v**2 - 35*v - 18. Let r be u(18). Calculate the smallest common multiple of 10 and t(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.4 + 0. Round x to 1 dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13665*x + 647*x - 627648 = 2282*x - 356*x for x.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 a when three letters picked without replacement from {a: 2, f: 1, v: 1, q: 1, d: 2, y: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**3 - 29*z**3 + 93*z**3 - 15*z**3.\nAnswer: 48*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001111011110111111111 - 0?\nAnswer: -1001111011110111111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6 - -3 - (-61)\/(-12) and -31\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mz when two letters picked without replacement from mzcm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -3d2?\nAnswer: 3d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4*c**2 - 4*c - 5. Let h(l) = 7*l**2 + 9*l + 9. Let t(o) = -3*h(o) - 5*z(o). Let x be t(-6). Suppose x*k = 199 + 221. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-4))\/((584\/48)\/(-73)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 119.689 to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 561584 to the nearest integer?\nAnswer: 749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22417086?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2166800 to the nearest 10000.\nAnswer: -2170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93394239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 26\/14 + 1\/7. What is the second derivative of -a*d**3 - 22*d + 2*d**3 - 4*d**4 + 71*d + 45*d wrt d?\nAnswer: -48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37? (a) -3 (b) -2 (c) -0.5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/4)\/k)**(-38)*(k**7*k)\/(k\/k**(-1\/6)) assuming k is positive.\nAnswer: k**(163\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o = 14*o. Let t be o\/(-5 - -4)*-1. Solve 0*g + 5*g - 5 = t for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - r + 1. Let o(u) = -3*u**2 - 13*u - 20. Suppose 3*h + 28 = -4*h. Let b(s) = h*l(s) + o(s). What is the remainder when b(-8) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50035988 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**2\/3 - 170808*j - 10940764824 = 0.\nAnswer: -128106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(3) + 1*sqrt(15)\/sqrt(5))**2) + 3.\nAnswer: -9 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -2, -7 in descending order.\nAnswer: 0, -1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -190 + 132. Let o = -48 - b. Solve 5*i = -0 + o for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**3 + 46*d**2 - 3*d - 6. Suppose 0*s = -2*s + 34. What is the remainder when u(-23) is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + v - 2. Let w be q(2). Let u be 3\/w - 7\/(-7). Which is the nearest to u? (a) 2\/9 (b) -1\/4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-106067.\nAnswer: 530335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 6. Let f(p) = -11*p**3 - 3*p**2 - 6*p - 13. Let z(w) = 15*w**3 + 4*w**2 + 8*w + 15. Let c(i) = 4*f(i) + 3*z(i). What is -6*c(k) + 7*u(k)?\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - t + 239 = -5*z, -4*t + 476 = 4*z. Calculate the highest common factor of 270 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.87643 to 2 dps.\nAnswer: -3.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8552 to the power of 1\/2, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.032 - -30.968. Let d be 31\/62 - (-3)\/(-4)*1. Which is the nearest to 1\/4? (a) -4 (b) t (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10385 divided by -2077.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0762904 to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 70\/99977 and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-7))\/(3\/63). Suppose 0 = -11*b + p*b - 20. Let q = -0.16 - -0.06. Put b, q, -0.3 in increasing order.\nAnswer: b, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-4))\/((b*b*b**(3\/8))\/b)*(b\/(b\/(((b\/(b\/(b*b**(-2))))\/b)\/b))*b)\/(b\/(b\/(b\/b**(-2\/5)))*b))**(-2\/109) assuming b is positive.\nAnswer: b**(351\/2180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 650\/(-260)*(44\/6)\/(13\/(1170\/25)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*a + 3*u, 2*a - a - 3*u = -5. Let b be ((-5)\/(-10))\/(a\/10). Let o = 2 + 1. Solve d - 12 = -p - b, -7 = -o*p + 4*d for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*s + 20 + 631 = 51 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (((-56)\/21)\/((-4)\/(-18)))\/((-116)\/(-58))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 152 = -4*c, c = 4*c + 5*m + 109. Let l = c + 63. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1190, 4558, 10196, 18116, 28330, 40850?\n\"Answer: 2*k**3 + 1123*k**2 - 15*k + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lhhl when four letters picked without replacement from hhll.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*y + 15 = -20*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 98, 101, 104, 107?\n\"Answer: 3*z + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -2445?\nAnswer: -1222.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(396) + (sqrt(396) - (-2 + (sqrt(396) - (sqrt(396) + sqrt(396)*2)))) + sqrt(396) + sqrt(396) + sqrt(396) + sqrt(396) + 0 + 2)**2.\nAnswer: 384*sqrt(11) + 25360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - c = -2*c - 425, -z - 5*c = -59. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*p - 130 = -72*p + 37*p for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 39 + 3 = 54*j, 2*h = -3*j - 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 18 times 0.4\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*8\/(-6)*1020\/(-51680)?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-1 + (-4)\/(-5)). Calculate the greatest common factor of t and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19*o**2*w**3*x + 26*o**2*w**3 - 2*o*w + 7*w**3 + 59*w*x wrt x?\nAnswer: -19*o**2*w**3 + 59*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153990 is divided by 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is 26261.97 centimeters in kilometers?\nAnswer: 0.2626197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-32)*4*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004682 rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 32*w**2 + 49. Let j be v(-32). Are j and 50 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -164*c**2 + 7708*c - 14773. Give q(45).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 23*y**2 + 7*y + 132. Determine p(-23).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121011210 (base 3) in base 6?\nAnswer: 401420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/63*((-32)\/112)\/((-15)\/378*-6).\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -b**4\/2 - 2*b**3\/3 + b**2\/2 - 2*b - 7. Determine y(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 304011312 (base 5) to base 16\nAnswer: 12d907","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 79, 143, 207, 271, 335, 399?\n\"Answer: 64*v + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 5*r**2 - 5*r + 1. Let f be s(-4). Suppose -5*k = -4*k + 3. Let j = f + k. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 101*w - 7*w**4 + 2*w**4 + w**2 + w**3 + 2*w**4 + 201*w - 102*w as l + v*w**3 + o*w**2 + q*w + k*w**4 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of 3*n + 0*n**4 + 0*n**2 + 5\/6*n**3 + 0 + 0*n**6 - 1\/42*n**7 + 0*n**5. What is the second derivative of k(s) wrt s?\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.55 times -3153.4?\nAnswer: 8041.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4 = 3*s, -26 = -3*d - 14*s + 9*s. Solve -20 - 15 = -d*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 540*w**3 - 3*w**2 - 5*w - 7. Give b(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4753836, 4753835, 4753848, 4753881, 4753940?\nAnswer: 4754031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*o. Let p(i) be the third derivative of 1\/80*i**5 + i**2 + 0 + 0*i**3 + o*i + 1\/48*i**4. Find h such that p(h) = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -34 + 100. Let l(h) = -h**2 - 7*h + 10. Determine l(j).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 103776364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14591 + 20792. What are the prime factors of w?\nAnswer: 3, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 6*v**2 - 8*v + 7. Let x be 2 + (-9)\/(36\/(-56)). Let z(n) = -2*n**2 + 31*n + 21. Let s be z(x). Determine a(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + 7*j - 92866 + 92845, -i + 3 = j for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/51477 and -5\/6.\nAnswer: 102954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32084*p - 29826*p - 24838 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pxappmmmoooxxpopoo. Give prob of picking 1 p and 2 m.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 48*f**2 + 150*f - 140. What is the remainder when m(-51) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*k**2 - 4016*k - 1 + 2010*k + 2008*k to the form o*k + s*k**2 + m and give s.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*c*i**3 - 9*c*i + 89*c + 84*i**3 + i**2 wrt i?\nAnswer: 144*c + 504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-32)*-6*(25 + -21). What is the nearest to 0.3 in -6, l, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 225382 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14354*p**4*r - 106*p**3 + 20*p**2 - 12529859*p - 7*r wrt p?\nAnswer: 172248*p**2*r - 636*p + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1781*-438199\nAnswer: -78043.2419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85743*p = -85835*p + 171395*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (0 + 1 - (13 - 6)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38*f**5 - 22*f**2 - 98*f**5 - 122*f**5 wrt f.\nAnswer: -10920*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 32. Let v be o(18). Let u = -46 + v. Solve 20 = -4*x, -18 = u*y + x + 3 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 11\/(-4))\/((-14)\/(-56))*-1. What is the greatest common factor of c and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1365*p**6 - 1258*p**5 - p**2 + p - 8125496 wrt p?\nAnswer: -163800*p**3 - 75480*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djdjjjiddip. Give prob of picking 1 d and 1 i.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -5*r + 292. Let s be n(41). Suppose -s*y = -84*y - 21. Is 15 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 1 = 3*m + f, 4*f = -20 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39*s**3 - 585*s**3 - 251*s - 587*s - 1374*s**3 + 253*s wrt s.\nAnswer: -11988*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 5, 88 in ascending order.\nAnswer: -4, -2, 5, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fgpa when four letters picked without replacement from {l: 2, f: 1, g: 4, p: 1, a: 3}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 53*x**2 - 52*x - 85. Let h be n(54). Put -4, -1, h in increasing order.\nAnswer: -4, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 19012 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**4 - 2*n**4 + n**4 + ((-32*n - 139*n - 1098*n)*(-5 + 4 + 0) + 3*n + 2*n - 3*n)*(-3*n**2 + 2*n**3 + 3*n**2).\nAnswer: 2544*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2138667?\nAnswer: 3, 712889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -761 - 19*l**3 + 7295 - 2871*l - 192*l**2 + 16*l**3.\nAnswer: -3*(l - 2)*(l + 33)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-40)\/8 - -617) + -4. Calculate the highest common factor of 928 and j.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -3*g**4 + 6*g**3 + 117*g**2 - 216*g - 324 = 0.\nAnswer: -6, -1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 161 - 17. Factor -28 + b*h + 5*h**2 - 12 - 134*h.\nAnswer: 5*(h - 2)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40706613300 to the nearest one million.\nAnswer: 40707000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 = 7*g - 3*g. Suppose -3*f + g = -0*z - z, 0 = f - 5*z - 17. What is the remainder when f is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 >= -66005\/139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58168 is divided by 4845?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1417 is divided by 683?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by -913996\nAnswer: -17\/913996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -6ccb0e?\nAnswer: 6ccb12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 2*n**3 - 2*n**2 - 4*n + 163. Let u(v) = -v**2 + v + 1. Calculate -3*a(d) - 12*u(d).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 + 2 + (2 - 4 + 0)*(3 - 1 - 3))*(-5*k + 0*k - 3*k) to i*k + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 231 and 48389?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r**3 + 246*r**2 - 121*r + 187. Let q be f(-62). Put 415, q, -2, -4, -3 in descending order.\nAnswer: 415, q, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47456 is divided by 3650.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-4) + 301\/14. Let h = 23 - z. Calculate the remainder when ((-1)\/3)\/(1\/(-9)) is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 3 + 3 + 1 + 25*s**3 - 15*s**3.\nAnswer: 10*s**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 122.138, -1\/5, -0.05 in ascending order.\nAnswer: -1\/5, -0.05, 122.138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/390 and -79\/44494320.\nAnswer: 44494320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (38\/4 + -2)\/((-770)\/(-308)). Solve -1 = 46*j - 44*j - 5*p, 5*j = g*p - 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2 - 9 = 1. Solve 3*v = -t*f - 5 - 4, -f = 3*v + 1 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 + 49. Suppose 5*j - 14 = -y, -3 = -5*j - 5*y + 7. What is the remainder when g is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -10 + 7 + 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 4, 1, 13, 342, -2 in descending order.\nAnswer: 342, 13, 4, 1, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = 9*y - 3*n - 274, 870 = 3*y + 3*n. Suppose -15*a = -29 - y. What is the remainder when 68 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1384 (base 10) to base 4.\nAnswer: 111220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -67*c**6 - 2*c**5 - 688*c**3 - 231535*c**2.\nAnswer: -8040*c**3 - 120*c**2 - 4128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1633, -1638, -1655, -1690, -1749, -1838?\n\"Answer: -g**3 + 2*g - 1634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 5*m**2 + 9*m - 18. Let z be o(6). Suppose z = 9*w - 16*w + 42. Suppose -w*n - 600 = -11*n. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*n = 5*n - 10*f + 98 + 12, -5*n + 2*f = -15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/40 of a millisecond?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 39186256 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 22*h + 37. Let f be -6*((-210)\/12)\/5. What is the units digit of q(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 794619633 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4894204, 9788440, 14682676, 19576912, 24471148, 29365384?\n\"Answer: 4894236*g - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -1\/2, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -15 + 2*u**2 - 34*u + 15*u + 16*u - u**2. Let s be l(6). Let o(x) = -2*x + 5. Let f(m) = -3*m + 9. What is s*f(p) - 5*o(p)?\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 17*u**2 - u - 14. Let h be k(-17). Let l be 0*2*2\/8. Factor l - 4\/3*i**2 - 2*i**h - 4\/3*i**4 - 1\/3*i - 1\/3*i**5.\nAnswer: -i*(i + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -1620*k**2 - 3*k + 11. Let a(p) = -3254*p**2 - 6*p + 20. Calculate 6*a(o) - 11*i(o).\nAnswer: -1704*o**2 - 3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p - 5. Let q be z(-9). Find the third derivative of 6*t**q + 3*t**4 + t**2 - 8*t**4 wrt t.\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 9:47 PM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (-8)\/(-2) + 0\/4. Suppose z + v*h = 8, -5*z = -5*h + 28 - 8. Sort -3, 3, z, 13 in descending order.\nAnswer: 13, 3, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**4 - 2*g**4 + 2*g**4 + (0*g**2 + 2*g**2 - g**2)*(-4*g**2 + 5*g**2 + g**2) - g**4 + g**4 + 2*g**4 - 3*g**4 + 6*g**4 + 2*g**4 - 2*g**2 + 2*g**2 - 2*g**4.\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -1.1. Let g = 0.099976 - o. Round g to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -0.4, 2\/241, -2, -2\/3, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11678, 46693, 105074, 186839, 292006, 420593?\n\"Answer: 3*o**3 + 11665*o**2 - o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (25\/(-1) + -482 + 470)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 91954 = 2*z, z - 40*p + 43*p - 45992 = 0. What is the hundreds digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 + l**3 + 10*l**3)*(1 - 4 + 1) + l**2 + 2*l**3 - l**2 + (0*l + 0*l + 2*l)*(2*l**2 - 6*l**2 - 13*l**2).\nAnswer: -50*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 8) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 1 + 6 - 2 + 420*l**2 + 6. Is u(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 4*u - 42. Let y be s(-9). Suppose 0*a + y*n = a - 35, 3*n + 105 = 3*a. Solve 2*r = -k + 8, 0*k + 5*r - a = 5*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (14\/(-3))\/(42\/315). Let j be 7\/v*0\/(-5). Let r(u) = -5*u**3 - u**2. Let n be r(-1). Solve 0 = -n*w - 5*i + 9, w + 4*i - 16 = -j for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8c59 + 0?\nAnswer: -8c59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.95 - -0.35. Let f = -10635847.7000284 + 10635853. Let b = f - k. Round b to 6 dps.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12250, 12255, 12264, 12277?\n\"Answer: 2*t**2 - t + 12249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + -2817)\/(17 - 18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2476728*z**2 - 4953476*z**2 + 2476726*z**2.\nAnswer: -22*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10029*z - 3183*z + 2909*z - 4009*z to r*z + j and give r.\nAnswer: -14312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/24 and 29\/687.\nAnswer: 5496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 253 + -169. Is 21 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 - 2 = -3*d. Suppose -3*x - d = -2*p, -2*p = -x - 5*p + 3. Put -5, x, -4 in increasing order.\nAnswer: -5, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27393 > -27392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((((d*d*d\/(d**6\/d*d)*d*d)\/d)\/d*d)\/d))\/(d\/(d\/(d**5\/d))))**(-13)*(d**3*d*d*d*d**(-6\/11)\/d*d)\/(d**(4\/3)\/(d\/((d*d**(-2\/5))\/d))) assuming d is positive.\nAnswer: d**(911\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3157*i - s = -3152*i + 9, -8 = -4*i + 3*s for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 o, and 1 i when four letters picked without replacement from {s: 2, o: 2, d: 4, f: 2, i: 3, x: 2}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1119, -9146, -31023, -73680, -144047?\nAnswer: -249054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 5*l**2 - 4*l - 1. Let k be j(-5). Let m = -24 + k. Let s = -5 - m. Solve s = -5*x - 0*x - f + 15, 3*f = 5*x - 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99565069 is divided by 33188353.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 919009, 918932, 918863, 918808, 918773, 918764, 918787, 918848?\nAnswer: 918953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m - 12 - 2*m**3 + 2*m**2 - 1 - m**4 - 3 + 3 to the form h + d*m + f*m**3 + s*m**4 + c*m**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 6:43 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5373 is divided by 265?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 20403 divided by 54\nAnswer: 2267\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 4:26 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1142614 (base 8) in base 15?\nAnswer: -629cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37*c**2*f**2 + 380*c**2*f - c*f**2 wrt f?\nAnswer: 74*c**2 - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 1823\nAnswer: -1826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2827 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**7\/7 - 3*s**6\/10 + 3*s**5\/10 + 8*s. Factor l(a).\nAnswer: -3*a**3*(a + 2)*(2*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1322364.00017 + 1322387. Let d = o - 23. Round d to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5979, 12085, 18195, 24309, 30427, 36549?\n\"Answer: 2*n**2 + 6100*n - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(-15) - (-124 - -122).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 7306.\nAnswer: 5\/7306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 155525 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**4\/6 - 2267*b**3\/6 + 7951*b**2\/3 - 6062*b + 4548 = 0 for b.\nAnswer: -2274, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9668 is divided by 38?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-12))\/(420\/8*25\/150).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**5\/5 + 2054*o**4\/5 + 34114*o**3 + 356530*o**2 - 6572812*o\/5 + 4617536\/5 = 0.\nAnswer: -937, -77, -16, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70 + 22 + 768*c - 92)*(c - 3*c + 5*c).\nAnswer: 2304*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3437 = -108*o + 5273 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -7*p**3 + 0*p - 5 + 2*p + p - 2*p**2. Is w(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15177 = 5*l - 2*n + n, 5*l = -2*n + 15186. What is the remainder when l is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -63 + 57. Let z be (-2889)\/(-15) - -2 - 1. Let v = z + -193. Which is the nearest to 0.1? (a) h (b) -3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2430*g**3 + 8*g**2 + 45*g - 33030855 wrt g?\nAnswer: 7290*g**2 + 16*g + 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-3)*2*(-18)\/84?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a minute in milliseconds?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/78 - 14*11\/(-1001)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-88)\/(-78408)*-66*-459\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 14*p**3 - 7*p - 12. Let s(x) = -9*x**3 + 5*x + 8. Let q = 26 - 21. Let g(y) = q*j(y) + 7*s(y). Find the first derivative of g(i) wrt i.\nAnswer: 21*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -k**4\/24 - k**3\/6 + 5*k**2 - 16*k. Let f(s) = s + 2. Suppose 0 = -9*g + 14 - 32. Give g*f(r) - 3*q(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -155218.68 and 0.2.\nAnswer: -31043.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(171) + (sqrt(171) - 2*sqrt(171))*-4)\/(sqrt(108)\/(sqrt(72)\/sqrt(6)*-2)).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 6*i - 8 = 0. Solve -r**2 - 3*r**4 + 2*r**4 - r**2 - i*r**3 - r**2 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 55, -376, -2, 4, 3, 5, -4 in ascending order.\nAnswer: -376, -4, -2, 3, 4, 5, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(1\/7)\/u**(-2\/9))**(13\/5))**36)**(2\/7) assuming u is positive.\nAnswer: u**(2392\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, -1, -5, -3 in ascending order.\nAnswer: -5, -3, -1, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 397*m + 1872 = 325*m. Let x(b) = 2*b**2 + 52*b + 23. Give x(m).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, i: 6, g: 4, b: 2, z: 4, q: 2}. Give prob of picking 2 g.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32318 and 858.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/111 and -49\/26247?\nAnswer: 971139","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 3*u - u)*(3 - 4 + 3)*(-23*u - 421983 + 421987 - 3*u) + (0 - 2*u + 0)*(2*u + 4*u - 2*u) - 1 + 1 - 2*u**2.\nAnswer: -62*u**2 + 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 10*p - 2760133 = 5*p, -3*b - 3*p + 2070102 = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 324 + -323.8. What is the closest to 47 in u, 1, 2, -1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -110 + 109.01. Let h = -1.09 - w. What is the smallest value in h, 20, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 663 is divided by 88?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 0.01, 0.083, 5 in ascending order.\nAnswer: 0.01, 0.083, 2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a hour in seconds?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50461218 a multiple of 934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15724, 15722, 15712, 15688, 15644, 15574?\nAnswer: 15472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12455176 or 12455177?\nAnswer: 12455177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -8*y + 46. Let b be g(-13). Calculate the highest common factor of 75 and b.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 511875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8685 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-38)\/(-19))\/(4\/(-10))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 3*f + 4*z, -3*f + 6*f + 3*z + 6 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, -1\/5, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 25462*q - 509224. What is p(20)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 2)*-2 + 11. Let a(l) = -l. Let b(m) be the first derivative of m**2 - 2. Calculate c*a(f) + 6*b(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q - 2*q + 4*q - 3*q. Let v(z) be the first derivative of -z**2\/2 - 1. What is v(r(m))?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4*z - 29 = 0, -3*z - 25 = -3*j - 7. Solve j*y - 11 - 14 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43032200 and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2 - 26*k + 42. Let w be h(13). Suppose -1734 - w = -16*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/36975 + -2699143\/591600. Calculate the common denominator of 89\/4 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence blo when three letters picked without replacement from {o: 16, b: 1, l: 1}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 315 + -2837\/9. Let l = -0.1 + 0.1. Put q, 0.5, l in decreasing order.\nAnswer: 0.5, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - 9 - (17 + -11 + 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 184\/23*557\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1884598 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -429 - -486. What is the smallest common multiple of u and 135?\nAnswer: 2565","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -514947, -1029391, -1543835, -2058279?\n\"Answer: -514444*l - 503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dpq when three letters picked without replacement from pxxxxdwfxxxwpddqd.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 20713 = -n, -4*n - k + 82948 = 3*k. What are the prime factors of n?\nAnswer: 20743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.8 - 1.68. Let w = p + -2.02. Is -1 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15*(1 - (-5)\/(-50))*(-15064)\/(-12).\nAnswer: 3, 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = 5*z - 2*y, 3*z - 2*y - 74 = -154 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24 in 3\/20, 0.03, -0.4, 5\/4, -0.2, 102?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2090 = 40*o. Which is smaller: o or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 106917 divided by 9\nAnswer: 35639\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3))\/((-6)\/(-108)*-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -11*q + 30. What is the units digit of u(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -379*f**4\/2 - f**2\/2 - 18. Let k be d(1). Let c = k - -1400. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-nine fifths of a millennium?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -9.03. Let i = w + 0. Let t = -0.08 - i. Round t to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, r: 2, b: 2, o: 1}. What is prob of sequence kr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q**4 - 2*q**3 - q**2 - q**3 - 107 + 107 in the form s*q + r*q**4 + o*q**2 + j + h*q**3 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.407 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -280, -630, -1120?\nAnswer: -1750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**5\/40 - x**4\/8 - x**3\/6 + 2*x. Let n(d) be the second derivative of q(d). What is the first derivative of n(p) wrt p?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/6? (a) -0.23 (b) 3 (c) -57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -t**3 + 2*t**2 + 8*t. What is the first derivative of g(q) wrt q?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -124 and -0.1?\nAnswer: 12.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.32261 rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/6)*f*f**(-2)*f*f)**(-8) assuming f is positive.\nAnswer: f**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kdkczcckdckkvkrc. Give prob of sequence vzcr.\nAnswer: 1\/8736","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/12 - (-43)\/(-2). Let l = 36 + j. Suppose s - 4*s + l = 0. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1 + -4*(-3*-3*sqrt(468) + sqrt(468) + -1*(sqrt(468) + -2)))**2.\nAnswer: 3888*sqrt(13) + 606613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1296400 to the nearest ten thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 300*q - 201*q - 1386 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 96*x**2 - 2 - 43*x**2 + 82*x**2 + 83*x**2 as b*x**2 + q*x + a and give b.\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of 0*s + 4*s**2 + 1\/360*s**6 + 1\/6*s**4 - 1\/6*s**3 + 0 - 1\/30*s**5. Let c(i) be the first derivative of b(i). Factor c(p).\nAnswer: (p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 4, -0.4, 1\/67, -1\/4, 1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7118 or 7843?\nAnswer: 7843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35447 is divided by 35.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + -2 + (25 - -37 - 49)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*(-7 - 2*(-516)\/144))\/((-3)\/18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4 - 24*r**3 + 1048*r**2 + 6720*r - 156800.\nAnswer: -2*(r - 14)**2*(r + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -3 - (-5 - ((-8 - -7) + -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10023956 is divided by 715996.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*q - 4. Suppose 5*i + 4 + 11 = 0. What is the second biggest value in -0.5, q, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**4\/13 - 53762*u**3\/13 + 1503936*u**2\/13 - 4510728*u\/13 - 15467328\/13 = 0. Calculate u.\nAnswer: -2, 6, 24, 26853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y**3 - 103 + 103 + 9*y - 12*y**3. Let g(w) = 32*w**3 - 37*w. Let m(v) = -2*g(v) - 9*j(v). Find the second derivative of m(b) wrt b.\nAnswer: 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7.08, -44.71, 1, 1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -0.141, 3, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 + 0 + (42 - (2 - (9 + -42))).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xjxxxxjjxxjxxmjjxx. Give prob of picking 2 j and 1 x.\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16.11 - -2.935. Let m = u + 0.255. Let i = 19 - m. What is the nearest to -1 in -2, -0.2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-eight thirds of a year?\nAnswer: 112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2553 + 2553. Let u(l) be the third derivative of a*l + 0 - 1\/150*l**5 - 1\/300*l**6 - 15*l**2 + 1\/60*l**4 + 1\/15*l**3. Suppose u(c) = 0. Calculate c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10236 (base 7) to base 4\nAnswer: 213132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 11:26 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6180174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 - 50*b**2 + 212*b - 216.\nAnswer: -(b - 2)**2*(b + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5312*b - 152827. What is k(-29)?\nAnswer: 1221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-2 - (0 + -1))) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 249*b + 2021. What is the remainder when i(-7) is divided by 101?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -1001010000010000101011011?\nAnswer: -1001010000010000101011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2200 and 1030876?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 16 (b) 67 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 20*t + 4*t = 86, 4*r - 82*t - 33 = -77*t for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**2*n*o + 55*b**2*n + 4*b**2*o - 11801*b**2 + 19*b*n*o + 210*b*n - b*o + 7719*n*o wrt b.\nAnswer: 4*n*o + 110*n + 8*o - 23602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 e when two letters picked without replacement from {i: 1, e: 2, t: 7, u: 8}.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -15*s + 85. Let u(i) = i - 6. Let y(o) = -6*n(o) - 85*u(o). Let x(w) = 5*w**2 - 6*w**2 + 2*w**2. Calculate x(y(a)).\nAnswer: 25*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -214 + 213 + 22\/18. Let l(j) = -j**3 - 6*j**2 - 2*j - 8. Let t be l(-6). Let a be t\/(-34) - 0\/2. What is the second smallest value in -1\/5, a, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1152 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 5*x - 6. Suppose p = -10 + 39. Suppose -2*n = -3*j + 15, -p = 4*n - 3*j - 2*j. Let r be s(n). Solve 4*o + 0*t - 4 = 3*t, r = -2*o + 2*t for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -28442718?\nAnswer: -1\/9480906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**4 + y**3 - y**2 + y - 1. Let m(p) = 37*p**4 - 5*p**3 + 5*p**2 - 5*p + 40. Let i(v) = 5*h(v) + m(v). What is the derivative of i(s) wrt s?\nAnswer: 128*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 3:17 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*g**2 - 23*g**2 + 222*g**2 + (-5*g + 4*g + 0 - 2)*(g + 2*g - g) as j + u*g**2 + i*g and give u.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*h - 48*h - 24*h + 7*h to the form a*h + y and give a.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20171570 or 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 419 = -23*a - 225. Let d be (42\/(-63))\/(a\/54)*-1. Which is greater: -8 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 0.06 (c) 0.4 (d) 3\/79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 3. Suppose -21 = -4*n + a*c, -3 - 3 = -n + 2*c. Suppose 25 = 4*x - 11. Calculate the remainder when x is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239352452 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uvu when three letters picked without replacement from {v: 7, u: 3}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 518 is divided by 195?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 4*i = 282. Let u be 1\/(3\/12)*-15. Let f = u + i. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151874*j - 151869*j + 17 = -b, 0 = -3*b - j - 9 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7970*l**3 + 15938*l**3 - 100*l**2 - 23*l**2 - 7964*l**3.\nAnswer: 4*l**3 - 123*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 69 + 54 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48901188 is divided by 47?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/5 + 242*i.\nAnswer: -2*i*(i - 605)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q*q\/(q*q**(-2\/5)))\/q)**(1\/37)*q\/(q*q\/q**8)*q*q**3*q)**(-4\/13) assuming q is positive.\nAnswer: q**(-8908\/2405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001369618 to seven decimal places.\nAnswer: -0.0000137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - i**2 - i + 1. Let j(m) = -8*m**5 - 7*m**3 - 363*m**2 - 4*m + 4. Let c(h) = j(h) - 4*x(h). Find the third derivative of c(b) wrt b.\nAnswer: -480*b**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 5*x**2 + 5*x - 4. Let q be t(4). Suppose m - 3 - 5 = q. Suppose 282*s - 6466 - 253 = 4561. What is the highest common divisor of s and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.93 - -0.07. What is the second smallest value in 1, -4, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 minus 1811749587296?\nAnswer: -1811749587312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 99999 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.93 - -7. Let u = x + 8.93. Let y = -13 + u. Which is the nearest to 1\/2? (a) y (b) 1\/5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2609899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/381 and 163\/3540?\nAnswer: 449580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 337.\nAnswer: -168.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((-1 - 4) + 3) - -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.01 and 0.0050665?\nAnswer: 0.0049335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/6*-52 - 7?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 304?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(2\/17)*l*l**(2\/3))\/(l*l**(-2)*l*l\/(l\/(l*l**(-1\/4))*l)*l))**(-2\/15))**(-28) assuming l is positive.\nAnswer: l**(2954\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 56*c**3 - c**2 - 71*c.\nAnswer: 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -514*d - 10690 = -6*d + 561*d for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (-40)\/7)*7\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*x + 40 = 0, 15*d + 4*x - 56 = 11*d. Suppose -5*f = 2*q - 55, -5*q + 70 = 4*f - 5*f. Is d less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/9, -5, 6\/209, 4\/5?\nAnswer: 6\/209","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21452 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 + -2 + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1990 - -1988.2. What is the second smallest value in x, -2, -16?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 + -55. Sort k, -1, 4, -5.\nAnswer: -5, k, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (1 - (-2 - -3) - -9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -164, -2\/9, -1, -3.\nAnswer: -164, -3, -1, -2\/9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3493667.\nAnswer: 3493667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 5:51 AM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i - 42. Let g be 3\/((-6)\/4*-1). Suppose -g*w - 6 + 114 = 2*y, -4*y - 5*w + 218 = 0. Calculate the remainder when y is divided by o(28).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10996705 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {y: 2, b: 1, q: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6250556 is divided by 272.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)\/(sqrt(24)\/sqrt(3)))\/(sqrt(60)\/(sqrt(24)\/sqrt(2)) + sqrt(5))*-4 + -5 + -4)**2.\nAnswer: 36*sqrt(5) + 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 678743824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -34439?\nAnswer: 34440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**3 + 21*p**2 + 7*p + 6. Let d be f(10). Let v = d - 174. Let k(o) = o**3 - 4*o**2 + 4*o - 3. Give k(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(15)*-6)\/sqrt(5).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(500) - (-5 + sqrt(500) + 5))*5)**2 - ((sqrt(500) + sqrt(500) + 0 + sqrt(500)*1 - sqrt(500))**2 + (0 + sqrt(500) + -1)**2))*3.\nAnswer: -7503 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.3 (b) -3 (c) -0.5 (d) 17832\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*(-25)\/15 - -8. Let o(d) = 285*d**2 - d - 1. Is o(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7927940?\nAnswer: 2, 5, 19, 31, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus -9473800576?\nAnswer: -9473800575.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1255*m**3 - 2 + 2 - 1256*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 26376316 to the power of 1\/4, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40692 is divided by 13556?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - -9) + (1 - 10 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a decade in months?\nAnswer: 1296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4004671, -4004682, -4004693?\n\"Answer: -11*i - 4004660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5525 and 427975?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -587 + 19?\nAnswer: -569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/20284 and 31\/11064.\nAnswer: 121704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6404, 6281, 6158?\nAnswer: 6035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 92*h**2 - 374*h + 851. Determine u(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 18 = 6*h. Suppose 3*p - 9 = 3*g, g + 4*g + 12 = h*p. Let w be p\/(12\/52004) + -1. Round w to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3114366 to the nearest integer?\nAnswer: 1765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -16*z**2 - 22*z - 195. Give l(-3).\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23821 and 23429.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4 + -6*-4*(sqrt(180) - (sqrt(180) - -6*2*sqrt(180)) - (sqrt(180) + (sqrt(180) + -1 + sqrt(180) - sqrt(180)))*6)))**2.\nAnswer: -34836480*sqrt(5) + 2150614080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a**2 + 599*a - 1365. What is h(-152)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 4*c**2 - c - 4. Let z be d(3). Let q be -1 - -1 - (-2)\/z. Suppose f - 4 = q. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -25 (b) -1 (c) 1.882 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*j = -34*j - 10. Let q(f) = 1640*f**2 - f - 5. Let m be q(j). Round m to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3530105775 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 0 + 0*k**3 + 1\/12*k**4 + 0*k**5 + 6*k**2 - 1\/120*k**6 + 0*k. What is the second derivative of p(a) wrt a?\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -282*c*j**2 - 219532*c*j - 6*c + 585*j**2 wrt j?\nAnswer: -564*c + 1170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 12:22 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 6 - (1 - 2). Suppose 3*g = 5*d - 209, 4*g - 1 = -2*d + 93. Let a(o) = 20*o - d*o + 11*o + 13*o - 6. Calculate a(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193766453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263 - 330 = 42*k + 1781 for k.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4414806223 to the nearest integer?\nAnswer: 66444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 16 = 18*t. Solve -4*p - 4*u + 14 = -t*p, -3*p + 1 = 2*u for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -250481.1 and -3.\nAnswer: 751443.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49 - -89. Calculate the common denominator of (-24)\/5*a\/54 and 33\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i + 8. Let d be w(6). Let a(t) = 8*t**2 + 2*t + 1. Let f be a(-1). What is the greatest common divisor of d and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/2*(-92)\/(-6). Suppose -c*a + 708 = -17*a. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -811*w = 60*w - 589 - 282 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3*r**2 - 642*r - 3135 = 0.\nAnswer: -209, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -188 divided by 840\nAnswer: -47\/210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 8*h. Let t(g) = -98808*g. What is q(t(a))?\nAnswer: -790464*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76445, 305870, 688243, 1223570, 1911857?\nAnswer: 2753110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 14) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of 32 + 55\/12*f**4 - 89\/2*f**2 - 1\/3*f**3 - 2*f. Differentiate v(l) with respect to l.\nAnswer: 110*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 - 0.1. Let f be 1*-1 - 1\/(-5). Let h(g) = -g**2 - 3*g + 1. Let s be h(-3). Which is the nearest to 0? (a) k (b) f (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33007\/33 - -1000. Let h = -1\/22 - w. Let k be (16\/140)\/(12\/(-10)). What is the smallest value in k, 2, h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(1\/3))**9*(v\/v**1)**(-1\/36))**(-47))**(-31) assuming v is positive.\nAnswer: v**17484","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0. Let p = 0 + d. Let q be (-6)\/9*3\/(-2). Solve -i + p = -q for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 492 + -471. Suppose -40*h + i*h = -76. Solve -h*u = -u + u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -2*z**7\/7 + 173*z**5\/5 - 225*z**3 - 685. Find the third derivative of i(o) wrt o.\nAnswer: -240*o**3 + 4152*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fifty-one quarters of a week?\nAnswer: 2142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -130.48477 rounded to 1 decimal place?\nAnswer: -130.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 18*b. Let x = -2 - -3. Let u(l) = -l + 1. Let s(f) = x*i(f) - 2*u(f). List the prime factors of s(10).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*o = 4. Let c(b) = -3*b - 3. Let m(h) be the first derivative of -3*h**2 - 5*h - 4. Let s(q) = 5*c(q) - 2*m(q). Determine s(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -q**8\/560 + q**7\/252 - 5*q**4\/12 + 15*q. Let l(k) be the third derivative of a(k). Find the third derivative of l(m) wrt m.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2027, 8015, 17999, 31979, 49955, 71927?\n\"Answer: 1998*l**2 - 6*l + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -2 + (-11 - (-10 + (-10 - -30)))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1115995*f = 1116152*f + 6437 for f.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*h + 8 - 24. Which is the closest to h? (a) -2 (b) -0.3 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -520 - 531 - 2*z**2 + 1051 - z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - 0.5. Which is the second smallest value? (a) 0 (b) -1\/6 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 30*a**2 + 223*a - 39. Determine u(-14).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.300768m to nanometers.\nAnswer: 9300768000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pc when two letters picked without replacement from ccpp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5*a. Suppose -2 = 4*s + 2. Calculate the least common multiple of 4 and i(s).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**3 - 2*m**2 + 3*m. Let b be l(3). Suppose -3*c = 2*t - 33, 3*t + 0*c = -c + 53. Calculate the highest common factor of b and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -611, -1653, -3389, -5819?\n\"Answer: -347*q**2 - q - 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5874, 1, 2 in decreasing order.\nAnswer: 5874, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, t: 3, h: 4}. What is prob of picking 2 a?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 1. Let d = -0.5 + -16.5. Let x = d - -15. Sort 5\/4, t, x.\nAnswer: x, t, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 3*k**2 - 3*k + 9. Let u be a(3). Let s(m) = m**2 - 2238*m**3 - 12 + u*m**2 + 2239*m**3. Calculate s(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4160 + -4156. Solve 3*l + 2*v = -13, x*l + 29 = -5*v - 0*v for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, w: 5, g: 2, x: 7, z: 3}. Give prob of picking 1 g and 1 x.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 2*v + 4*d - 7, 5*v + 2*d = 21. Suppose 2*u - 94 = -v*g, -9*u + 96 = 5*g - 6*u. What is the greatest common divisor of g and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 19*d + 205 = -9*a, 0*d - 6 = -6*a + d - 14 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from wwwwwwwwuwwwuwwu.\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/5, -1\/3, 4\/3, -0.04753?\nAnswer: -0.04753","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**4\/8 + 1021*f**3\/4 + 3603*f**2\/2 - 70749*f\/4 + 239733\/8 = 0.\nAnswer: -13, 3, 2049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 + -21. Suppose -j = q - 3*q + f, -3*q + 28 = -2*f. Which is smaller: q or 9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2777 + 57 = 20*z. Let r = z + 952. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (57\/(-44) + (-230)\/(-184))*(-1 + -1). Which is the second smallest value? (a) l (b) 10 (c) 149\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4004*y**2 - 117*y + 117. Let a(v) = 69*v**2 + 2*v - 2. What is -117*a(z) - 2*f(z)?\nAnswer: -65*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - ((3 - 6) + 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.05, 26, -2\/3, -39\/5 in decreasing order.\nAnswer: 26, 0.05, -2\/3, -5, -39\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -50011*b - 200012. Give f(-4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -245 - -242. Let c be -16*6\/72*z. Solve c*m = 23 - 15 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2620707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -142*h - 1182.\nAnswer: -142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 25?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1401 - 1\nAnswer: -1402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ifn when three letters picked without replacement from {s: 1, f: 5, i: 11, n: 3}.\nAnswer: 11\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 8*b + 7. Let p be (14\/6)\/(3\/9). What is the units digit of h(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-2\/3)*(r**(2\/3)*r)\/r*(r*r**(-2))\/(r\/r**(1\/4)*r))\/(((r*r**(1\/2)*r)\/r)**(10\/11)\/(r**5\/(r\/r**5))) assuming r is positive.\nAnswer: r**(259\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 75\/20 - 1\/(-4). Let l = 1 - 1. Suppose -5*k = -k + o - 18, l = -c*k - 4*o + 12. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70 + -52. Let t be ((-28)\/126 + 4\/f)\/1. Solve t = -2*b - 7 + 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-95)\/(-7))\/(177\/13629) is divided by 26?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l + 240 = 18*l. Suppose -10347 = -l*x + 7053. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 10:37 AM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8287 + 15344. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**3 + 0 - 5*d**3 + 5*d**3 - 7.\nAnswer: -4*d**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -172?\nAnswer: -860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 445*l - 453*l - 29 = -5*v, 5*v = 3*l + 14 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qdmqmpmmpbmpppq. Give prob of sequence qmbp.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49513139 is divided by 4501194.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-10))\/(1\/(-5)). Is 337*(l - (0 + 1)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*x**3\/2 + 6059*x**2\/6 + 176440*x\/3 + 719950\/3.\nAnswer: (x + 110)**2*(27*x + 119)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*s = l - 43, -3 = 3*s. What is the highest common divisor of 5 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in months?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 5:49 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-18))\/t**(-10\/3))\/(t*(t*t*t\/(t*t*t**(-12))*t)\/t)**(-17\/5) assuming t is positive.\nAnswer: t**(1049\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 5 + 21 - 11) + -1 + 10\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 405444 and 4181?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 12 = 3*p, 15*p + 4*k = 19*p - 12. Solve -3*r - 15 = -2*f, -p*r = -r + 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10310, 82438, 278204, 659426, 1287922, 2225510, 3534008?\nAnswer: 5275234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/39 + 113\/156. What is the closest to h in -1\/5, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -2*w**2\/21 + 26*w\/3 = 0.\nAnswer: 0, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -29152 (b) 104\/7 (c) -2\/33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 170\/3 + -56. Are 0 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182*m - 1185886 - 725954 = 70*m. Is m a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyzbllxblzlzzy. What is prob of sequence xzb?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, -13, 25306, 1\/4 in ascending order.\nAnswer: -13, -2\/17, 1\/4, 25306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, a: 2, y: 1, h: 1}. What is prob of sequence ad?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y + 3*y + y)*(4 - 1 - 4)*(-7*y**4 + 3*y**4 - 2*y**4) + 3*y**5 + 0*y**5 - 2*y**5 + 19*y**3 - 19*y**3 - 10*y**5.\nAnswer: -15*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/42 and 68\/1443?\nAnswer: 20202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91165367?\nAnswer: 91165367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/12172898 and 47\/12.\nAnswer: 73037388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*c + 20 = 0, 72 = 3*g + 9*c - 12*c. Let i(l) = -l**3 + 30*l**2 + 10*l + 29. Is i(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -37, 0, -3 in descending order.\nAnswer: 1, 0, -3, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c + 15. Determine n(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19884639 to the power of 1\/3, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, x: 1, f: 2, r: 1, p: 1, e: 2}. Give prob of picking 1 r and 1 f.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**2\/13 - 749076*a\/13 + 1498160\/13 = 0?\nAnswer: -374540, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 3. Let z be (2\/5)\/(s\/(-10)). Let g(b) = -b**3 + 11*b**2 - 8*b - 22. Let l be g(10). Sort z, -4, l in descending order.\nAnswer: z, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 398\/39 - 124\/13. Sort -35, a, -6\/11.\nAnswer: -35, -6\/11, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.02 - 1.02. Let d = 2 + i. Suppose 0 = 2*q + 5*z + 1, 3*z - 3 = 0. Which is the nearest to 0? (a) q (b) d (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -368 by -4.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqqkqsqjkqqskcsqqqs. Give prob of picking 1 s and 1 q.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8351451 to the power of 1\/3, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a + 104. Let r(u) = -3*u. Give x(r(b)).\nAnswer: 6*b + 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 (base 12) in base 4?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 4*o + 8*h - 7*h, 5*o - 2*h = 26 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26 or 1078\/17?\nAnswer: 1078\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a microgram in nanograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/16*(-2)\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -9. Let x(a) = 8 - 10*a + a**2 - 12 + m + 4. Determine x(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*p = 2*c + 17, 4*c = 2*p - 22. Let i(b) = -2*b**p + 4*b**3 - b**3 + 2*b**2 - b. Does 5 divide i(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l + 1. Let b(m) = -25*m**2 - 7*m + 242. Let w(q) = -b(q) - 3*r(q). Differentiate w(f) wrt f.\nAnswer: 50*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353912 is divided by 84.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -4. Let s = -89.886 + -0.214. Let v = s + 90. Which is the nearest to 0? (a) t (b) v (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2\/7 + 192\/7.\nAnswer: -3*(w - 8)*(w + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 3291\/20702?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 23b5 - 5?\nAnswer: 23b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -4 - ((-91 - -3) + 23 + -24 + 11)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (16\/(-10))\/(-4 + 72\/20). Let x be -43 + 1 - (u - 2 - 4). Let b be 12\/5 + (-24)\/x. Let h(i) = -i**2 - 2*i + 1. What is h(b)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5142 in 0.1, -1\/6, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + r = 6*r - 9, 0 = 5*r - 5. Let y(b) = b. Let v(l) be the first derivative of -l**4\/4 - 3*l**2\/2 - 276. What is t*v(x) + y(x)?\nAnswer: -x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -13*r + 223. What is u(33)?\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 252 + -257 - (-22 - 4) - -12.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(1\/20)\/(8\/16).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**2 - 3*u**3 + 3*u**3 - u**3 + (-2*u - 3*u + 3*u)*(-2 + u**2 + 2) + 3*u**2 - 3*u**2 - 2*u**3 + 15*u**3 + 9*u**2 - 9*u**2.\nAnswer: 10*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4829099 is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2210112 + 0?\nAnswer: 2210112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2316, 4455, 6604, 8769, 10956?\n\"Answer: x**3 - x**2 + 2135*x + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 5*k**2 - 13*k. Let v = 12 - 9. Let t(g) = -g. Let n(b) = v*t(b) + s(b). What is the second derivative of n(j) wrt j?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.062 - 16.938. Let c = -0.014663 + -16.983137. Let y = o - c. What is y rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 12*a**2 - 110*a + 153. Determine p(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -14. Let i be (-19)\/(-3) + 2\/3. Let q = j + i. Solve 0 = -q*c + c - 5*h + 7, -h = -3*c + 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 9. Let h(z) = 151 + z + 155 - 320. Let k be h(15). Sort a, 0.2, -2\/11, k in descending order.\nAnswer: k, 0.2, -2\/11, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -315670 and -169.\nAnswer: 53348230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 272*d + 198 with respect to d.\nAnswer: 272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-8) - (1 - 1). Let l = v + -25\/72. Let y = 14 + -14.3. What is the third biggest value in 0.5, l, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 845 - -118. Suppose n + 4*k = -0*k + 183, -5*n + b = 4*k. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -14*d - 13. Let q be f(-2). What is the highest common divisor of q and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1086627.\nAnswer: 3, 281, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p**5 + 665 + 766 + 2*p**2 - 1410 + (-p + p + p)*(-2*p**4 + 4*p**4 - 3*p**4).\nAnswer: -6*p**5 + 2*p**2 + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 244e5b (base 15) to base 9.\nAnswer: 3238055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-12)\/3 + (-25)\/(-7).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 7:49 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 + 1 - (-75 + 76).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((0 + 2)\/((-26)\/16510533))\/1. Let n = g + 2420541. Suppose 5884500 = 6*k + n. Round k to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 - 37 + 86)*(-39068*m**2 + 93*m**3 + 39068*m**2).\nAnswer: 8091*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-30)\/8*(-588)\/(-245). Put o, 8, 4 in ascending order.\nAnswer: o, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 52\/9 + 4\/18. Is (-381)\/g*2\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 7*b**2 - 18*b + 7. Give c(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5717.3999937434 + 5717.4. What is k rounded to 7 dps?\nAnswer: 0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 2 - -9) + -2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/19*(-79)\/(-79)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.04, 21, 2\/7, 1\/5 in decreasing order.\nAnswer: 21, 2\/7, 1\/5, -0.04, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15533 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 10*k + 6. Let f be u(-5). Let o = f + 56. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 363\/(-55)*-6*(-1625)\/(-1170).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 94*j**4 + 89*j**4 - 22*j**4 + 8 + 8*j**3 - 160*j**4 + 5 - j**2 to g*j**3 + m*j + o*j**2 + d + n*j**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from iuuuuuuuiiuuui.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 - -34. Let m = -12 - -17. Suppose m*h - 13 = -3. Which is the closest to 0? (a) h (b) -3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 (base 8) in base 2?\nAnswer: 11111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 4:36 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 6*v**2 + 3*v + 4. Let s be w(-2). Suppose 2*t + 4*i = 12, -t + 3*i + s = i. Suppose -10*z = -t*z + 8. Solve 2*l = -z*l - 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 107*c**3 + 5*c**2 - 10*c - 5. Let j(a) = 267*a**3 + 12*a**2 - 24*a - 12. Calculate -5*j(s) + 12*t(s).\nAnswer: -51*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 82 = -8. Let r(b) = 12*b**2 + 17*b**2 - q*b**2. Let z(d) be the third derivative of d**4\/3 + d**2 - 21. Give r(z(n)).\nAnswer: -64*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(6\/7)\/a)\/a*a**8*(a**1)**(-16\/3) assuming a is positive.\nAnswer: a**(32\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 356.\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -25*h + 181. Let l be m(9). Let i be (3\/((-6)\/8))\/(8\/(-172)). Let f = i - l. What are the prime factors of f?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -157901\/251880 - 66\/2099. Calculate the common denominator of -137\/24 and d.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/382409 in 1, -0.4, 3, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2953.067997 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6215 - 6211. Put r, -0.3, -2\/5, -1, 0.06 in decreasing order.\nAnswer: r, 0.06, -0.3, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 156*w - 1044. What is r(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1764780 rounded to the nearest 10000?\nAnswer: -1760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((2\/(-8))\/1)\/(-1). Let i be 3 + ((-35)\/21 - 2). Which is the biggest value? (a) v (b) 18 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**4\/2 - 21*a**3 - 147*a**2\/2 = 0. What is a?\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**4\/5 - 1706086*x**3\/5 - 143320632*x**2\/5 - 4013065504*x\/5 - 37455687808\/5 = 0?\nAnswer: -28, 853127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 + -23.866. Round x to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 199*y**2 - 206*y**2 - 10.\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 2*y**7\/105 + y**6\/10 - 4*y**5\/15 + y**2\/2 - 26*y - 10. Let z(r) be the second derivative of t(r). Let z(d) = 0. Calculate d.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 79.01 + -79. Let z = 0.21 - f. What is the second biggest value in -0.3, z, 1\/4, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**2 + z - 1. Let k(t) = 4*t**2 - 21*t + 9. Let f be k(5). Suppose -2*n - 15 = 3*n. Let d(h) = -h**2 + h - 1. Determine f*d(a) + n*y(a).\nAnswer: 2*a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 11218*t. Let p(c) = 2*c. Calculate a(p(i)).\nAnswer: 22436*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102544?\nAnswer: 2, 13, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140)*2)\/sqrt(7))\/(-2*sqrt(16)).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/40 of a meter?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r - 7. Let l be m(-7). Let c(j) = -j**2 - j + 18. Let z be c(l). Let w = z - -19. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 30 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v + v + 0*v. Let d(i) = 2*i. Let l(p) = -d(p) - r(p). Let x(q) = -5*q - 21. Let o(w) = -14*w - 56. Let h(s) = 3*o(s) - 8*x(s). Calculate h(l(u)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2642332 divided by 93?\nAnswer: -2642332\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 4*i**4 + 4060*i**3 - 1099356*i**2 - 1111516*i + 2206808 = 0.\nAnswer: -1237, -2, 1, 223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 120221221021221 (base 3) to base 2\nAnswer: 100000010110110101010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 45458*t + 173 + 241 = -45463*t, -176 = -3*f + 2*t for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13012, -13041, -13046, -13015, -12936?\nAnswer: -12797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 7 - (-8 + 18). Let v(u) = -u**2 - 4*u + 2. Let t be (-68)\/18 + 4\/(-18). Let y be v(t). Sort b, 0, y, 3 in increasing order.\nAnswer: b, 0, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3*x**2 + 624*x + 32448 = 0.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a litre in millilitres?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**2\/2 - 4113*h\/2 - 2055 = 0. Calculate h.\nAnswer: -1370, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 408, 10, -4, 3, 90, 4 in ascending order.\nAnswer: -4, 2, 3, 4, 10, 90, 408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 5*d + 27, 4*n - 6*d = -d + 31. Suppose 0 = -3*a + 3*g + 60, n*g = -5*a - 0*g + 109. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 36*w - 117. Let h be q(4). Suppose 1577 = -h*k + 7598. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/1)\/(5 + -3). Let m = d + 5. What is the second derivative of 139*u - u**2 - 4*u**m - 136*u wrt u?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1634455 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/195*300\/90?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.517 - -0.917. Let w = -3.5 - -3.4. Which is the nearest to w? (a) 5 (b) m (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2666 + 2672. Let f = 34134.69 + -34140.689923. Let r = f + z. Round r to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {r: 6, h: 13}.\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 359864 and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 126.99999961 - 127. Round c to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 o, and 1 g when four letters picked without replacement from mommmmmgmmggggmmmgg.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 3*u = -6*u - 3, 4 = 3*t - 4*u. Suppose t*y = y - 3. Factor 6*x**5 - x**5 - 2*x**2 - y*x**5 - 4*x**4 + 6*x**2 - 2*x.\nAnswer: 2*x*(x - 1)**3*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 56578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 11*g. Let a(b) = -b**2 - 10*b + 1. Let i(z) = 5*a(z) + 4*n(z). Let r be i(-7). Let k = r - -4. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3462448 is divided by 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 1. Let t(a) = 7*a**3 - 5*a**2 + 4*a + 6. Let z(c) = n(c) + t(c). Let j(k) = 5*k**3 - 4*k**2 + 3*k + 4. Calculate 4*j(r) - 3*z(r).\nAnswer: 2*r**3 - r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5226758227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 151, 341, 607?\nAnswer: 949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - s + 2*s = -201, 4*s = -o + 54. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sk when two letters picked without replacement from {k: 1, s: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-3 + -2 + 1). Let q be (-1)\/(-2)*2\/(-5). What is the second biggest value in q, p, -0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2168445.\nAnswer: 3, 5, 144563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 78439.06 kilometers?\nAnswer: 78439060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 3) + -2 - -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (-1 - -3) - 1. Let f be -2 + c + 46 + -2. Suppose 4*d - 58 = -3*w, 4*d - 3*d = -2*w + f. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 80, 139, 192, 233, 256, 255, 224, 157?\n\"Answer: -k**3 + 3*k**2 + 57*k + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -16*s - 1. Calculate l(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2129.83 + -2129. Let p = 0.49 + 0.44. Let w = o - p. Which is the nearest to -0.11? (a) w (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -794 + 793. Do -253 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 660365112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 561*z - 1 - 575*z - 4 - z**2.\nAnswer: -z**2 - 14*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1863081.\nAnswer: 3, 11, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 168098097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -19*v - 57. List the prime factors of n(-6).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 z when three letters picked without replacement from {z: 1, y: 3, j: 2, v: 1, l: 3, o: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -771.5 + 1452. What is p rounded to the nearest ten?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-71*i - 96*i + 39*i)*(0*i - 2*i**2 + 0*i) + (i + 0*i - 3*i)*(0 - 5 + 2)*(-i + i - 2*i**2).\nAnswer: 244*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m**5 + 60*m**4 - 63*m**3 - 606*m**2 + 540*m + 600 = 0. Calculate m.\nAnswer: -5, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61490745, -61490744, -61490743?\nAnswer: -61490742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.31 + -6.31. Which is the third smallest value? (a) n (b) -12\/11 (c) -1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -396 divided by 6\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23067*l**3 - 166*l**2 - 47265261*l wrt l.\nAnswer: 138402*l - 332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g, 0 = -0*s - s + 5*g + 6. What is the remainder when 106 is divided by (s\/(-10))\/(5\/(-150))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44 by 275.\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4078*h + 29. Let m be a(-2). Suppose 0 = 17*f - 12*f - m. What are the prime factors of f?\nAnswer: 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 1320 = 2*s. Suppose 8*u + 164 = s. What are the prime factors of u?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1254 is divided by 205?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/4 of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + (-1)\/(-2))\/(4 - 5). Which is the closest to 1\/3? (a) w (b) 3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7116046ml in litres?\nAnswer: 0.0007116046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*b - 45*b + 20*b.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.484, -0.349, 3\/61 in descending order.\nAnswer: 3\/61, -0.349, -0.484, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1514336 + -1042587. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -673727 - -33090\nAnswer: -640637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 1120203571\nAnswer: -1120203575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 3*t - 0*t + 3, r = -2*t + 7. Suppose -17 = 4*u + r, -14 = -k + 2*u. Let x(f) = f - 5. What is x(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2185 and 130663?\nAnswer: 653315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 475.5687 minutes in microseconds?\nAnswer: 28534122000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or -8\/121?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**2 + 2*j**2 - 1 - 4*j**2. Let r(h) = -h + 6. Let u be r(6). Suppose 2*d - 3*d = u. Give f(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 16*n - 21*n + 6870, 3*g = -2*n + 2751. Calculate the remainder when n is divided by 23.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 14*f + 41426 = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1931\/210 + 484\/35. Find the common denominator of -103\/20 and w.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16159 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**1)**(-7\/2))**(-5) assuming p is positive.\nAnswer: p**(105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9686 (base 10) to base 11.\nAnswer: -7306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 10 = -5*a, -2*a - 3*l + 12 = a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -68987, -274633, -617381, -1097231?\n\"Answer: -68551*z**2 + 7*z - 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + sqrt(19))**2 + ((1 + sqrt(1216))**2 - sqrt(1216)))*4.\nAnswer: -16*sqrt(19) + 4388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -168*d + 7395 + 1845 for d.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 3:41 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 less than -31\/250085?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2695*i - 4460*i + 7155 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - 24.8. Suppose 3*d - 15 = 0, 0 = 4*h + d + 4*d - 45. Which is the nearest to -1? (a) -4 (b) h (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16292 - 16276. Suppose -4 = f, -l - 2*f + 552 = 4*l. Calculate the highest common divisor of q and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 52 = -88. Let u be (1 + 2)\/((-9)\/6). Is 5 a factor of (5 + 33)\/(p\/u)*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -285*o**3*t**2 + 126*o**3*t + 23*o**3 + 355*o*t**2 + o*t + 31 wrt t.\nAnswer: -570*o**3 + 710*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of d**5\/60 + 338*d**2. Let y(t) = -57*t + 4. Let v(h) = -172*h + 11. Let i(c) = 4*v(c) - 11*y(c). Give a(i(b)).\nAnswer: 3721*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 7*x**2 - 5*x + 4. Let i be y(-6). Let u be ((2 - -2)\/(-1))\/i. Let g be 6\/(-5)*(-45)\/18. Solve -d = g + u for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-2 - -27) + 17?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*h - 21 - 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36204688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 173b8 - -73?\nAnswer: 1742b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 divided by 46?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 20 = -2*f + 4*n + 2, -20*f - 56124*n + 24 = -56125*n for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2123 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1830028.\nAnswer: 2, 457507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2675 is divided by 179.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1733561 + 1733561. Determine q, given that w + 1\/3*q**2 - 64\/3*q = 0.\nAnswer: 0, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -13*z - 45 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, z: 2, s: 4}. Give prob of picking 1 d, 2 s, and 1 z.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 40*j**2 + 2*j - 1. Let r be u(2). Suppose -4*q = 1037 + r. List the prime factors of 1\/((-3)\/q*4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18059 or 3722\/5?\nAnswer: 3722\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3584 = -83*b + 80*b, 1182 = b + 5*u. Calculate the highest common factor of b and 745.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 3*i - 50. Let n(c) = -c**2 + 2*c + 50. Let m = 145 + -148. Let x(v) = m*n(v) - 2*s(v). What is the first derivative of x(k) wrt k?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3034 - 3063. Put 3, -5, -2, j in increasing order.\nAnswer: j, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -8*u, -4*u - u + 21 + 116 = -4*y - 0 + 15 for y.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 676723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 20\/2)\/(-2). Let q(b) = 2*b**2 - 5*b - 7. Let u be q(-1). Sort v, -2, u in decreasing order.\nAnswer: v, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-122)\/427*42*5\/(-1125)*(-6)\/(-32).\nAnswer: 1\/100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1361300 to the nearest integer?\nAnswer: 1167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 43392806?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*v + 11*v + 4*r - 8, -2*v + 2*v - 7 = v - 6*r for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*62 + (177 - 166). Solve 19*f + 192 - v = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 12*j + 16. Let w be o(11). Suppose -w*p + 11*p - 72 = 0. Solve 5*a - p + 2 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -1\/2, -72, 6, 1, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10709977 (base 10) in base 3?\nAnswer: 202011010022211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -157.388 + 157. Let n = h - -0.088. Put 0.32, n, 4 in descending order.\nAnswer: 4, 0.32, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5*f + 0*f - 2*f)*(2 - 2 + 2*f)*(f - 2 + 2)*(1 - 2 - 7).\nAnswer: -48*f**3 - 16*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -322573 (base 15) to base 12\nAnswer: -9716a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 3*u**2 + 0 + (319*u**2 + 9*u**2 + 18*u**2)*(0 - 1 + 0) + (0 + 0 + 1)*(2*u**2 + 0*u**2 - 5*u**2) to q*u**2 + p*u + i and give q.\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 + -3)*(-1)\/(-2). Which is bigger: g or 2\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of f**5\/60 - f**4\/8 + 2*f**3\/3 + 3*f**2. What are the prime factors of p(6)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, a: 2, d: 9}. Give prob of sequence rrrd.\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 6 - (-339 + 323)) + (-2 - -11)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 580 = 3*i + 5*l, 0 = -2*i + 2*l + 109 + 299. Suppose 0*c + 2*c + 2 = 0, -5*m = 5*c - i. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 231336 and 729?\nAnswer: 694008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13897102 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/29096095 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*d + 53 + 143 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -3*i**5\/20 + i**4\/6 + 2*i**3 - 26*i**2 + 5*i. Let l(b) = -b**2 + b + 1. Calculate 6*l(h) - r(h).\nAnswer: 3*h**2 + 2*h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1136\/7904 + (-4)\/(-6)*111\/(-703)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**2 + 3*q**2 - q**2 + (1 - q - 1)*(-q - 4 + 4) + (-8 + 56 - 31)*(-4*q**2 + 3*q**2 + 3*q**2) + (2*q - 2*q + 2*q)*(-2*q - 7 + 7).\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 + f**2 + f**2)*(f**3 - 4*f**3 + f**3) + (-3663*f**2 + 7353*f**2 - 3480*f**2)*(-2*f + f**3 + 2*f).\nAnswer: 206*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2642811\/199715779 + 126\/9421. Let i = v + -3158723\/508776. Calculate the common denominator of -95\/18 and i.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36608 - -71139\/2. Let s = -2333 - -1329. Let f = t - s. What is the common denominator of f and 23\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p = 16*p + 15. Put -2, p, 0 in decreasing order.\nAnswer: 0, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -993848\/11 + 90350. Let f = 29.4 - 24. Which is the biggest value? (a) d (b) -6\/7 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**(1\/2)))**45)**(11\/8)*l**(2\/7)*l*l**(-6)*l*l**(1\/7)\/(l\/l**(-2\/3)) assuming l is positive.\nAnswer: l**(-12155\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(-1\/7)*g**(-1\/2) assuming g is positive.\nAnswer: g**(9\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60*f**6 - 274181*f**5 - 42495252*f**2 wrt f?\nAnswer: -7200*f**3 - 16450860*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-14)*s**(-6)*s**(1\/5)\/(s*s*(s\/(s*s**(5\/3)*s)*s)\/s) assuming s is positive.\nAnswer: s**(-287\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/19 (b) 0.5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/344 and -55\/258.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -30) + ((-41607)\/(-737) - 85).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 10, a: 10}?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2216 rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/8 - (-699)\/4. Calculate the highest common factor of u and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0) + -20 + 25 + 33 + -50.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 5 = -3*a, -a + 16 = -12*x + 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.13 (b) -1\/11 (c) 2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3727?\nAnswer: 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y**2 - 24*y + 113. Let v be d(23). Is v at least -2025?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 201*l - 2. Let f(s) = s - 16. Let j(w) = -28*w + 128. Let a(y) = -8*f(y) - j(y). What is a(g(c))?\nAnswer: 4020*c - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58920257.\nAnswer: 11, 29, 184703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 divided by 251316?\nAnswer: -47\/251316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 7*n**2 + 8*n + 5. Let x be h(8). Suppose u + 5 = -3*y, x*u - 4 = y - 29. Let g = -2.16 - -2.56. What is the biggest value in -3\/7, g, u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-40))\/(2330\/3728)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.486868 minutes to days.\nAnswer: 0.016310325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 220\/3 + -74. Calculate the common denominator of x and 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, r: 3, m: 6, g: 8}. Give prob of picking 1 m and 1 j.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -450883 divided by 1\nAnswer: -450883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 10*j**2 - 221*j + 25. Let h be k(22). Solve -5*v + 17 = 2, -3*v = 3*o - h for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5*q**3 - 21*q + 36. Let m(k) = k**3 + 4*k - 7. What is 11*m(a) + 2*v(a)?\nAnswer: a**3 + 2*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -2*h + 202. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 + 406. Calculate the highest common factor of d and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23853\/25 + -954. Sort 6\/11, -4, a.\nAnswer: -4, a, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 266596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*s**2 - 2 - s - 30*s**2 + 116*s**2 - s**3 - 23*s**2 - 4*s**4 - 27*s**2 as p*s + h*s**4 + y + o*s**3 + r*s**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 258 + -247. Let i(d) = 11*d - 3. Let a(q) = -32*q + 8. Determine b*i(t) + 4*a(t).\nAnswer: -7*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -2\/15, 0.2949, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23701263.\nAnswer: 3, 7900421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2582998 and 48224?\nAnswer: 41327968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 249, 499, 749?\n\"Answer: 250*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**5*m**(-5))\/(m**2\/m)**(1\/28))**(-3\/38) assuming m is positive.\nAnswer: m**(3\/1064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*l*y**3 + 5507540*l*y**2 + 4*y**3 - 16558*y - 149 wrt l.\nAnswer: -10*y**3 + 5507540*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3*p + 7 = -2, -3*w - 6 = -2*p. Suppose w = -4*z - 98 - 2. Let f = -11 - z. Calculate the remainder when 53 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 2\/9 (c) -17 (d) -88\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13\/20 (b) -0.2 (c) 68 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*j - 136 = 39*j. Solve j = g + 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44865*l**5*u + 72*l**2*u + l*u - 2*l + 2*u wrt l?\nAnswer: 2691900*l**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-86 + 150 + 44)*((-d + 4*d + 0*d)*(0*d + 5*d - 4*d) + (-3*d + 3*d - d)*(2*d + 0*d - 4*d)) to j*d**2 + m*d + q and give j.\nAnswer: 540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-601 - -605) + (-1 - (-7 - 0))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.035 + -0.935. Let r = 4.1 - z. Which is the closest to 1\/4? (a) -2 (b) r (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 28*z**4 - 244*z**3 - 352*z**2 - 80*z = 0?\nAnswer: -1, -2\/7, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 34*r - 39*r + 9, 5*t + 2*r - 30 = 0. Suppose 0*q**2 - 2\/5*q**3 + 1\/5 + 2\/5*q - 1\/5*q**t = 0. What is q?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1833404.69 and 106.\nAnswer: 1833510.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2. Suppose 4*q - 6*q + 4 = 0. Let l(r) = -2*r**2 + r**2 + 3*r**2 - r**q. Give l(g(j)).\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmummxmuuummmm. Give prob of picking 2 m.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w**2 + w. Let q be x(-1). Suppose -q*n = n - 4. Is 1 less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -39\/2. Let u = 5\/4 + s. Which is the closest to -1? (a) 3 (b) u (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of 127*d**6\/20 - 2903*d**5\/30 - 102*d**2 + 4*d - 2. What is the third derivative of p(n) wrt n?\nAnswer: 4572","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3753501770 to the nearest 1000000.\nAnswer: -3754000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9563.\nAnswer: 73, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 11189 + 430 = 4*i, -3*i - 5*n + 8727 = 0. Is 22 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k + 11*k + 315 + 10*k - 283. Calculate the least common multiple of d(7) and 108.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 0*o**4 + 0*o**3 - 79*o + 79\/5*o**5 - 36 + 0*o**2. What is the first derivative of j(p) wrt p?\nAnswer: 316*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-56)\/12 - -5) + (-2)\/(-12). Which is the closest to 14? (a) 4 (b) l (c) -1\/6 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -6430, 14, 10.\nAnswer: -6430, 1\/6, 10, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -12*(-20)\/(-18)*-12. Suppose 2*v = -3*v - l. Let j be (v\/(-4))\/((-2)\/(-1)). Solve 3*f = 4*w - 25, -4 - j = w + 4*f for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s + 17. Determine v(7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 - 26) + 37 + -22?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-8))\/j)**(14\/9)*j*j\/j**(-18)*j*j\/(j\/j**(1\/10)))**(-4\/23) assuming j is positive.\nAnswer: j**(-1558\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r - 1. Let a be w(4). Find the second derivative of a*f - 4*f**5 + 2*f**5 + 0*f**5 wrt f.\nAnswer: -40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ry when two letters picked without replacement from {y: 2, r: 1, z: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 4*n + 6. Let m(q) = q**2 + q + 1. Let l(p) = -g(p) + 4*m(p). List the prime factors of l(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 113 + -307. Let o = z - -192. Which is the second biggest value? (a) -4 (b) o (c) 0.32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 402, 1544, 3446, 6108, 9530?\nAnswer: 13712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -9, 1 in decreasing order.\nAnswer: 1, 2\/15, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39271, -39275, -39279, -39283, -39287?\nAnswer: -39291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 824134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 94*f. Let y be h(1). Let l = -49 + y. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 4, -0.3, 3, 37.8.\nAnswer: -0.3, -2\/7, 3, 4, 37.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 5*s + 9 = 0, 5 - 9 = -4*s for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13236*v - 13231*v - 3*h - 22 = 0, -8 = 2*v + 3*h for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3.8113 = 0.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543 is divided by 144?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 263*j - 47 + 47 in the form g + n*j and give n.\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*p**4 + 2 + 13*p**4 - 7*p**3 + 10*p**4 + 15*p**3 to the form w*p**3 + g + h*p + s*p**4 + d*p**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 283 + -167. Let f = -116.224 + s. Round f to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*(2 + 0)\/(-4). Is h at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -1\/24*j**4 + 197*j**2 + 0 + 0*j + 0*j**3. Let o(m) = -m. Determine o(y(b)).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 67 times 0.1\nAnswer: 6.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + (4*sqrt(102))\/sqrt(6))**2 - (sqrt(272) + sqrt(272) + 1*sqrt(272)))*-3.\nAnswer: -1275 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14380878*h**4 + 2806964*h.\nAnswer: 172570536*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 92956684350537 - -0.5?\nAnswer: 92956684350537.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 10) to base 13\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 110.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 485635491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (38\/(-12))\/((-41)\/(-82)))*9\/(-24)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6285\/25 + 14\/(-35) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3711?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*t**4 + 43026*t**3 - 2*t**2 + 439164*t wrt t.\nAnswer: -24*t**2 + 258156*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tiyw when four letters picked without replacement from {a: 4, t: 3, x: 1, i: 4, y: 1, w: 5}.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 9 = -2*c, -2*s - 44 = -11*c + 11*c - 18*c for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 721924, 1443858, 2165792, 2887726, 3609660, 4331594?\nAnswer: 5053528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 834 divided by -6?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 306\/(-36)*(11 + 84\/(-8)).\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72*y**5 - 7573*y**4 - 10*y**3 + 22*y**2 - 6509*y - 71.\nAnswer: -4320*y**2 - 181752*y - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -c**5\/80 - 15*c**4\/4 - 450*c**3 - 27000*c**2 - c + 55. Factor r(f).\nAnswer: -(f + 60)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2544571, -10178290, -22901153, -40713160, -63614311?\n\"Answer: -2544572*y**2 - 3*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.1 + -5.6. Let w = -4 - s. Let l = -15 + 44\/3. What is the closest to l in -5, w, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*v - 465618 - 667962 = 0. Is 18 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*q - 5*x, -4*q + 28 = -3*x + 2*x. Let z = 128 + 88. Let f = -213 + z. Which is the second biggest value? (a) -0.2 (b) q (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/630)\/(((-168)\/(-4200))\/(3\/(-15)))?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92 - 383 - 35 - 398)*(m**5 + m**2 - m**2).\nAnswer: -724*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -104*i**7\/15 + i**6\/120 + 2993*i**5\/30 + 4468*i**2 + i + 1. What is the third derivative of g(h) wrt h?\nAnswer: -34944*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1405*h**2 + 2*h - 2652?\nAnswer: -2810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00164296401 to four dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23281*q - 316668?\nAnswer: -23281","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18452821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**2 + 368*v + 28672 = 0. What is v?\nAnswer: -256, -112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 32 - 11?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1624959872 to the power of 1\/2, to the nearest integer?\nAnswer: 40311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 4) to base 13\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1027 and 559.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -50362 + 43324 + 3*b - 363*b**3 + 2*b - 146*b**3 with respect to b.\nAnswer: -1527*b**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 13 = 4*q, 5*u + 28 = -13*q + 14*q. Let p(a) = -a**2 - 8*a + 1. Determine p(u).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 7*f**2 + 222*f + 42. Calculate t(-27).\nAnswer: -849","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3.67 (b) 0 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18)\/45 - 12\/(-5). List the prime factors of ((-182)\/(-21))\/(v\/3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*w + 6 = -41*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -3*r**6\/2 + 12*r**5\/5 + 39*r**4\/4 + 6*r**3 + 308. Solve x(a) = 0.\nAnswer: -1, -2\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -w**5\/30 - w**4\/24 + w**3\/6 + 2*w**2. Let x be k(1). Let r = x - -5. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.136 + 0.004. Let w = 0.032 + n. Let t = 6 + -1. Which is the biggest value? (a) -0.3 (b) w (c) t (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 592 divided by -26.\nAnswer: -296\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 1 = -16. Let s = -1 + g. List the prime factors of 2*s\/2 - -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, q: 9}. What is prob of sequence aqqq?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-8)*r*r**(-8)*r)\/(r**(2\/5))**(4\/13) assuming r is positive.\nAnswer: r**(-788\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c**3 - 638*c**2 + 2120*c - 8667. Calculate t(-216).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 403*p**3 + 387*p**3 + 0 - 805*p**3.\nAnswer: -15*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: aa7 (base 11) to base 12\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 426, 1035, 1820, 2799, 3990, 5411, 7080, 9015?\n\"Answer: 3*k**3 + 70*k**2 + 378*k - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -300*j + 127 + 2*j**3 - 787*j - 127 - 6*j**2 + 3*j**2 as g*j + c*j**2 + v*j**3 + i and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -401157, -401153, -401149, -401145, -401141, -401137?\nAnswer: -401133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**3 + 3 - 59*p**2 - 42*p - 80*p**2 + 44*p to the form z*p**2 + s*p**3 + u*p + k and give z.\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 8*t - 1. Suppose 2*p + 8 = 3*d + 4, 2*d - 16 = -2*p. Let o be i(p). Find the first derivative of -98*n - 7 - 12*n**2 + o + 98*n wrt n.\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/(-51))\/(((-2)\/6)\/((-55)\/(-11))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -69\/1855 at most as big as -0.1786?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1056 - -1?\nAnswer: -1055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/32 and 39\/224.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 1865009520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e978 + 0?\nAnswer: -1e978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8601?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 486155 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in 2\/9, -1\/6, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 4*r + 40 = 36, -5*r + 7 = 3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3153003 is divided by 6281.\nAnswer: 6222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193*n - 259*n + 264 = 0. Suppose 3\/4 - 3*f**n + 9\/4*f**2 + 21\/8*f - 9\/8*f**5 - 3\/2*f**3 = 0. What is f?\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12.62 + -17.505. Round f to one decimal place.\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.002 (b) -4 (c) -0.1 (d) 1.999\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 10821.0233 to the nearest 10.\nAnswer: 10820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -44*2.6473\nAnswer: -116.4812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -10 - (-5 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-2)\/(-2))\/(41*86\/28208).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21.39 - 21.3900005044. Round i to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(2448) - -3*(sqrt(2448) + 2))*-4)**2*1 + -4 + 0.\nAnswer: 9216*sqrt(17) + 627258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2023213 (base 4) to base 13.\nAnswer: -40b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j - 2*j + 2*j)*(2 + 3 - 2)*(-267*j + 16 - 23 + 7) in the form c*j**2 + k + h*j and give c.\nAnswer: 801","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - k - 3*k**2 - 23*k**3 + 32*k**3 - k**2 + 1 to n*k**2 + j + y*k**3 + p*k and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4480, -4463, -4446, -4429, -4412?\nAnswer: -4395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 1905 - 1800 = -8*u, -2*u - u = 5*f + 2*u + 200 for f.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 4*k - 26 = 0, -2*k = 1233 - 1223 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(324)\/sqrt(3))**2 + 2.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.073143468 rounded to 4 dps?\nAnswer: 0.0731","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1181 or 1175?\nAnswer: 1181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 4*z + 3. Let o be y(4). Let f = -103 - -113. Let k be -2*(f\/4 + -4). Solve -2*q + k*q - o = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 576135 is divided by 57612.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 5:17 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -454727346*k + 984946957 with respect to k.\nAnswer: -454727346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*w**2 + w + 5*w**2 + 0*w wrt w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.14 (b) -5 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(95)\/sqrt(5) + sqrt(19) + -1 + sqrt(171).\nAnswer: -4 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1092*t**2 - 560*t**2 - 564*t**2 + (-t + 3 - 3)*(0*t - 2*t + 3*t) - t**2 - t**2 + 4*t**2.\nAnswer: -31*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50123*2.\nAnswer: 100246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -340767, -681535, -1022303, -1363071, -1703839?\n\"Answer: -340768*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -27516.0897 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 122481701005 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**3 + 2*d - 62. Calculate u(-4).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.271, -1\/8, -5, -194.6?\nAnswer: -194.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 - 332 = -139*p + 113*p for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65238, 130460, 195670, 260862, 326030, 391168, 456270?\nAnswer: 521330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 24.58 + -0.4\nAnswer: 24.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 33 = -13*c. Sort -19, -4, -3, c in decreasing order.\nAnswer: c, -3, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1010, 7, -0.5, 0.09, 5, 9\/16?\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1168 + 1059.7. Let u = h + 119. Round u to zero decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 25, 0 = 5*h - 3*q - q - 30. Let k(y) = -1 + y**h - 7*y - 2*y**2 - 5 - 2. Determine k(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1308.93 + 1324. Let w = o + -10.8. What is w rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182076?\nAnswer: 2, 3, 15173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -8142*v**4 + 5*v**3 + 2 + 8154*v**4 - 3*v**2 - 4 in the form n*v + k*v**3 + s*v**4 + r*v**2 + x and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*p + 10. Let m be p\/3*3 + 6. Calculate the remainder when 41 is divided by m\/6 + (-200)\/(-15).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xrr when three letters picked without replacement from xotrtxtytrtrrxtty.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -520400400 by -40030800.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.21 times -0.17\nAnswer: 0.0357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -12317?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56887974 divided by 27.\nAnswer: 2106962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/9)\/(j*j**(-3\/4)))\/(j\/(j**(4\/7)*j)*j*j\/j**(4\/3)*j) assuming j is positive.\nAnswer: j**(-283\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58107181 divided by -2.\nAnswer: -58107181\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 6*m + 5. Let a be b(-5). Suppose -3*t + 2*s = -5*t + 8, 5*s = t - a. Let u be (9\/18)\/(1\/4). Solve -t = -u*g - 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 338186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.4 + 1. Let j = -699660 - -699660.39999936. Let p = q + j. What is p rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15449445 - -1524145.\nAnswer: -13925300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 497 - 478. Let m(n) = 2*n - 34. Calculate m(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/43600 and -95\/8204212.\nAnswer: 820421200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 - 1\/(-2)*0. Suppose -p + 167 = 5*j, -3*j - x*p = -p - 87. Calculate the remainder when j is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 109582.09 times 60\nAnswer: 6574925.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -127*j + 130*j + 2*x - 8, j + 24 = -4*x. Solve -25 = -j*w + 13*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21911 is divided by 29.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.12 from -2329.\nAnswer: -2328.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (13\/12)\/(2\/(-4)). Let z(m) = -m + 13. Let y be z(11). Let c = -5 + y. Which is smaller: c or l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 35148, 34160, 32510, 30198, 27224, 23588?\n\"Answer: -331*f**2 + 5*f + 35474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 2*y + 27. What is a(2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-6\/5)\/y*y**(-12)*y*(y\/(y*y\/(y*y**(4\/5))))**(-46) assuming y is positive.\nAnswer: y**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 290000*n. Suppose 6*k - 3*d = 3*k - 27, 32 = -4*k + 3*d. Let u be q(k). What is u rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12 + -8 - (-622)\/7. Let b = 1353\/14 - g. Calculate the common denominator of -91\/20 and b.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - 0 - (-4653)\/54)\/(285\/114). Which is greater: 33 or b?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j - 3. Let d be m(6). Suppose -d*i + 12 = -p + 4*p, 9 = 2*p + i. Suppose p*f - 1090 = -0*f - 5*z, 4*f = 5*z + 845. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6 and -0.1241879294.\nAnswer: 5.8758120706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**3*r**3 + o**3*r + 52*o**3 - 109*o*r**5 + 6*o*r**2 - 11 wrt r?\nAnswer: 12*o**3*r - 2180*o*r**3 + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 + 19 + -15.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1076 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -33 + 11 + 360*m - 571*m. List the prime factors of c(-3).\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 89, 193, 313, 455, 625, 829, 1073, 1363?\n\"Answer: h**3 + 2*h**2 + 91*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99, -183, -267?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 661375*s**4 - 209011*s.\nAnswer: 7936500*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3 = -3. Suppose i - 43 + 47 = 2*h, 0 = 5*i. Let r(j) = 2*j + 0*j + 13*j**h - 11*j**2 + j + 3*j**2. Let y(d) = -9*d**2 - 6*d. Give t*y(v) - 11*r(v).\nAnswer: -v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 30\/(-9) - (-1 + 1). Let h = 29\/6 + g. Sort -4, 0.5, h.\nAnswer: -4, 0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5548 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3453*r**2 - 21*r + 97. Is v(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.044 - 22.044. Let l = v - -20. Suppose 0 = 5*u - 4 - 6. Is l bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 95 - 77. Let j be (-3)\/(z\/(-4))*6. Let c(f) = f + 5*f + f - j*f. Let b(i) = 9*i**2. Calculate b(c(m)).\nAnswer: 81*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -1. Let o(w) = -3*w. Let l(r) = 2*r**2 - 32*r - 74. Let f be l(18). What is f*o(m) - 2*s(m)?\nAnswer: 6*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -884 + 865. Let u = x + 19. Solve u = 2*b + 2*b - 2*w - 8, w = -4*b + 14 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.01 - -1.01. Let l = -18 + 11. Let z be l + 6 - (-12)\/10. What is the third smallest value in h, z, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + m - 4*m)*(-5 + 5 - 6*m + (0*m + m + 0*m)*(-1 + 1 - 2) - m - m + m).\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/288)\/(12\/162).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/2 - 385*x\/2 - 6897.\nAnswer: (x - 418)*(x + 33)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10100111001111 (base 2) to base 6\nAnswer: -121315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.88 from -144536813.\nAnswer: -144536813.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101714, -406943, -915690, -1627955, -2543738?\nAnswer: -3663039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*s + 25 = 27*s. Solve 0*j + 4*g + 8 = 3*j, 3*j + 10 = -s*g for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 790.3969 + -720.407. Let u = -41 - 29. Let h = u + b. Round h to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 1:20 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 61\/210272?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + (1*-2*sqrt(180) + sqrt(180) - sqrt(180)))\/((sqrt(1200) - -2*sqrt(1200)) + sqrt(1200)))\/(-1*(sqrt(192) - 3*sqrt(192)*-6)).\nAnswer: sqrt(5)\/6080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 5 = 5*q, 4*g + 21*q = 19*q - 3 + 4 - 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -395.82 + 396. Put x, 2\/9, -3 in decreasing order.\nAnswer: 2\/9, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*w - 12, 0*s - 4*s = -5*w - 6. Suppose -4*f + w*i = -296, i - 91 = -f - 11. Does 19 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/8*9\/(-135)*-12\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/16 and 57\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35052 and 7176.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 3, -5, 5, -1 in increasing order.\nAnswer: -8, -5, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 4*x + 148, 0 = -i - 47*x + 43*x + 52. Calculate the greatest common divisor of i and 5472.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5426424163530 less than -17?\nAnswer: -5426424163547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -683 - 0.03.\nAnswer: -683.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a second in milliseconds?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(1300) + 0) + sqrt(1300) + sqrt(1300) - (2 + sqrt(1300))*4)*3)**2.\nAnswer: 4320*sqrt(13) + 105876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001217387 rounded to seven dps?\nAnswer: -0.0000122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**3 + 41268*h**2 - 123993*h - 2228958 = 0.\nAnswer: -13759, -6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/25 of a millennium?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -494? (a) -0.00694 (b) -4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c - 3*a - 6, -5245 + 5254 = c + 2*a for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -236 - -33a07?\nAnswer: 33781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 0 + 0)*(g - g + g)*(g + 4*g - 4*g) + (3*g**2 - 7*g**2 + 2*g**2)*(-3 + 3 + 5*g).\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*s = 0. Let q(p) = 64 + 2*p - 16 - p**2 + 11 + 13. Let t be q(s). What is the greatest common divisor of t and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2619474523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.9 - 8.1. What is the second smallest value in k, 0.1, -2.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 3, m: 15}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z - 17*z - 92 = -2*k, -5*z = -4*k - 446. Calculate the remainder when 1078 is divided by z.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 3*a**2\/5 - 6162*a\/5 - 21909456\/5 = 0.\nAnswer: -1864, 3918","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -252767518*z + 184*z**2 + 252767518*z + 35*z**2.\nAnswer: 219*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 338.99222 + -339. What is c rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10302 and 6\/42 + ((-7348)\/77)\/(-4)?\nAnswer: 41208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1255 is divided by 140.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-19)*b*b*b*b\/(b\/b**(1\/3)))\/((b**(-2\/37)\/b)\/(b\/b**12)) assuming b is positive.\nAnswer: b**(-2843\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 42 + -242?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/5 of a millimeter in micrometers?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 3*n**2 - 4*n + 16. Let o be j(4). Suppose -11*m - o + 38 = 0. Solve -m*g = 8 - 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 104136568 or 104136562?\nAnswer: 104136568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/71936?\nAnswer: 1\/71936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -342541207 + -5?\nAnswer: -342541214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -17334, 1 in decreasing order.\nAnswer: 1, -2, -3, -17334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 4 - 2*c - 7)*(0 - 1 - 1)*(-8 + 1 + 0).\nAnswer: -28*c + 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/(-3))\/((-16)\/(-8)))\/((-102)\/(-153)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.325866ml in litres?\nAnswer: 0.000325866","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 + (-8)\/(-3))*152760\/1900 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2925 (base 15) to base 8\nAnswer: 21152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 335227 to the power of 1\/2, to the nearest integer?\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -3 + 1 + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 35, 4, -4\/13, 2\/5?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46330 + 17678 = 8*q. List the prime factors of q.\nAnswer: 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 435 divide 1001815599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 73b + -2?\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 4:21 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5933 + 5798. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01872+86932\nAnswer: 86932.01872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 176138400 to the nearest one hundred thousand.\nAnswer: 176100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -5*m + 2*k + 3, k + 3 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -26259 * 0.3\nAnswer: -7877.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 201301057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -3)*(-33)\/30 - (-11077)\/3135?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111111 - 11110100?\nAnswer: -101110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - n = -2*n - 7764, 170608 = -22*c + 3*n. What is c rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -30*h**2 - 332*h - 4. What is o(-11)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -130 + 129. Let a be -4 - (m - (-5 - -3)). What is the closest to -2\/7 in -8, a, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5203997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/4*(-1)\/1. Suppose m*s + 4*g = 24, -2*s + 4 = -g - g. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 7285*v**2 - 87444*v + 286. Calculate n(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11220 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11957 and 1.5.\nAnswer: 17935.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 70631, 282535, 635709, 1130153, 1765867, 2542851, 3461105?\n\"Answer: 70635*b**2 - b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -128 (base 16) to base 11.\nAnswer: -24a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 108 and 2.76?\nAnswer: 298.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 0*r - r)*(-7 + 0 - 1) - 1 - 2*r + 1 + (4 - 3 + 1)*(-2 + 2 - 2*r) + 0*r - 2*r + 0*r - 2*r + 0*r + r.\nAnswer: -17*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.88932042 to 3 dps.\nAnswer: 1.889","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8320)\/52)\/(-10) - 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/14 + 2\/4. Suppose 5*u - 46980 = 5*g, -3*u + 0*u + 4*g + 28193 = i. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 17*o - 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 7832559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 66?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 77? (a) -0.03 (b) -3 (c) -5 (d) 4.79\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2 = 6. Calculate the remainder when (-3 - f) + 3 + 28 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(((-2)\/(-4))\/((-17)\/476)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 - 7*l - 4. Suppose -8*h = -2*h + 24. Determine f(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63874 minus 2?\nAnswer: 63872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -92 - -95. Let m(r) = 6*r - 1. Let k(h) = -3*h - 1. Let w be k(-1). Calculate the lowest common multiple of q and m(w).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 11 - (-18 - (-9 - -8)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 2*r - 4*r + 37, r - 11 = o. Let m be (8\/12)\/(r\/27). Let s(g) = g**2 - 4*g + 7. Let b be s(m). Solve -b*v = 4*t - 36, v + 16 = 3*t + t for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 3. Is 8\/(-20) - (-112)\/f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -6*o**3 - o**2 - o. Let c be d(-1). Let t(z) = -z**3 - 2*z**2 + 5*z**2 + z**2 + c*z + 0*z. Give t(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2 - 3*r + r - 1 + 8*r**2. Let b(g) = -g**2 + 138*g + 424. Let i be b(-3). What is o(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 9*y**2 - 7*y + 10. Let n be h(-8). Let w(g) = g**n + 17*g - 17*g. Let o(x) = -2*x - 3. Determine o(w(p)).\nAnswer: -2*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1268 a factor of 7719584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l + 4. Let q be a(-6). Suppose -6*b - 8 = -2. Let c be 3\/9*0 + b. Which is greater: c or q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-5 + 4)) + (-4 - -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -532 (base 13) in base 5?\nAnswer: -12021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/8 + -1 - (-2107)\/(-7224).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-62)\/(-14) + (-4)\/(-7). What is the second derivative of 13*h**n - 5 + 1 - 2*h + 4 wrt h?\nAnswer: 260*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1492445258, -1492445257, -1492445256, -1492445255, -1492445254?\n\"Answer: g - 1492445259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3942 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 30606461 or 1\/3?\nAnswer: 30606461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*s - 1 + 120*s + s**2 - 2.\nAnswer: s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4\/7 (b) 13\/4 (c) -0.1 (d) 2.5 (e) -4 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5597 and 28757.\nAnswer: 833953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 8*y**2 + 2*y + 17. Let m be c(-8). Suppose 0*t = 4*t. Suppose t = 2*o - m - 41. Calculate the greatest common divisor of o and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jv when two letters picked without replacement from {j: 1, v: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, -285, 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19798736, -19798732, -19798728?\nAnswer: -19798724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 2*r. Let z = 2 + r. Suppose -z*w + 100 = 2*w. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 75 and 310.\nAnswer: 4650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -279 >= -1948\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42334384 - 135584384. Round q to the nearest one million.\nAnswer: -93000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -77 + 80. Suppose 5*r = -t*i + 235, -5*i + 208 = 4*r + 7. What is the lowest common multiple of r and 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5966192648 plus 1?\nAnswer: 5966192649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 22. Suppose -11*m = -17*m + o. Put 5, 13, m, -3 in increasing order.\nAnswer: -3, m, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-1 + -3 + (-4 - 2))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - (-21 + 14) - -32.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -446296 at most as big as -446296?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12550 - -12563. Let n be 23\/3 - (-2)\/(-3). Suppose n + 5 = 4*u. Solve p = 5*v + u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -146 - -220. Calculate the highest common factor of i and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 741132 and 3228.\nAnswer: 199364508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1741 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 - 818*s + 1647*s - 829*s.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61499 is divided by 150?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3002484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/341446 and -49\/1414562?\nAnswer: 9901934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61 (base 13) to base 8.\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 7*d**2 + 4*d + 18. Suppose -q + 5 = -0. Let a be (2\/(-2) - -2) + q. Let h be g(a). Solve -h*u - 10 = -u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2920*w**2 - w - 2987*w**2 + 2*w - w as m*w**2 + g + a*w and give m.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 96129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c. Let r(p) = -2089668*p**2. Give r(w(m)).\nAnswer: -8358672*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 9*l**2 + 130*l + 23. Let y(r) = -4*r**2 - 65*r - 12. Let t(q) = -4*s(q) - 7*y(q). Let v be t(-8). Do v and 1\/18 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lyyl when four letters picked without replacement from llllylyyllllylllllll.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3248212469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 16c63?\nAnswer: -16c68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/(-3)*(-25)\/50*216. Calculate the highest common divisor of 270 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/23, 157\/9, -4\/3, 1?\nAnswer: 157\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b**(2\/3)\/b)\/b)\/b)**48\/(b**8*(b**(4\/7)\/b)\/b) assuming b is positive.\nAnswer: b**(-494\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(13) + 1)*3.\nAnswer: 9 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4636?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7793 greater than or equal to 54556\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/5148 and 52\/9909.\nAnswer: 5667948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**3 - 44*f**2 - 5*f - 293?\nAnswer: -6*f - 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u - 2*u - u)*(-743*u - 603*u + 315*u) + (3*u + 4*u - 5*u)*(-u - 3 + 3) to the form d*u**2 + h*u + q and give d.\nAnswer: 2060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -17 in descending order.\nAnswer: 4, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d. Let j(k) = -9*k. Let a(g) = 8*g. Let i(n) = -n - 13. Let f be i(-10). Let q(z) = f*a(z) - 2*j(z). Give b(q(h)).\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + f + 3. Let h = 11 - 8. Suppose -h*w = -w - 6. Determine m(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + (-2*sqrt(720) - sqrt(720) - sqrt(720) - sqrt(720))) - ((sqrt(720) - (sqrt(720) + 3)) + -3 + 1).\nAnswer: 9 + 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1464*j - 1152 = 1461*j. Let y = j - 366. Calculate the remainder when 23 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*m + 39, 2*h = 2*m - 0 + 18. Let y be m\/(-15) - 8\/20. Solve -b + 13 = -y*b + 4*w, -b + 4*w = 3 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 5*o - 8, 2*o - 5 = -5*d - 15 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1023053 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17324 to the power of 1\/2, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of u**4\/4 - 7*u**3\/3 + 7*u**2\/2 - 4*u + 38. Determine p(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002955 rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 50, -1, 29?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1104000 to the nearest ten thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 6*z - 148. Give h(25).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*s**4 + 45*s**3 + 110*s**2 = 0. What is s?\nAnswer: -2, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 328208\/(-20232) + (-16)\/(2 - (3 + 0))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*d - 3*d**2 + 3*d)*(-d + d - 2*d**2) + 1139*d**2 - 2277*d**2 + 1138*d**2 + d**4 - 702*d**3 as r*d + g*d**2 + w*d**3 + c + u*d**4 and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1549735?\nAnswer: 5, 11, 19, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -150370, -300726, -451082?\n\"Answer: -150356*o - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-16 + 24 - -32)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -2*i**6\/45 - 4*i**5\/15 + 5*i**4\/9 + 4*i + 4. Determine g, given that t(g) = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -15. Suppose n*q - 2*a = -76, 3 = 3*q - 4*a + 89. Let f = q + 22. Is f != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 - m**2 + 707 + m**2 + m**2.\nAnswer: m**2 + 767","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 4*v**2 - 3*v + 6. Let r = 10 - 11. Let o(y) = y**2 + y. Let q(c) = r*u(c) - o(c). Suppose 20 = 3*x + x. Give q(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 7:24 PM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 48225, 48517, 48811, 49107, 49405, 49705?\n\"Answer: g**2 + 289*g + 47935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -28388523 + 1?\nAnswer: -28388522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v - 1. Let q be m(1). Suppose 4*o + o - 112 = -4*j, 74 = 4*o - q*j. Calculate the highest common divisor of o and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 3\/19, -6, 18, 7506 in descending order.\nAnswer: 7506, 18, 3\/19, -2\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -24*f - 2. Let g(n) be the first derivative of 2*n**3\/3 + 24. Determine g(o(p)).\nAnswer: 1152*p**2 + 192*p + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13)\/(52\/24)*(-40)\/15. Suppose -r*p + 2216 = 520. What is the remainder when p is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -4*y + 2*g - 37, -15 = 3*y + 5*g. Let r be (y\/(-4))\/((-15)\/10) + 2. Suppose -1\/3*x**4 + 4\/3*x**3 + 4\/3*x - r - 2*x**2 = 0. What is x?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 6*n**2 - 5*n + 1. Let g be f(7). Suppose 4*a - a = g. Solve -3*t = -t + a*w + 30, 0 = 5*t + w + 29 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/2)\/1*78\/65.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -q**2\/2 - 4*q. Let d(i) = -2*i + 1. Calculate -d(u) + 2*g(u).\nAnswer: 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 828879704 greater than or equal to 828879706?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -70 + 134. Is z a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 888 and 5217.\nAnswer: 41736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4683137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 1826479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -100*h - 45. Let a(s) = -9*s - 4. Determine -45*a(x) + 4*q(x).\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j - 7. Suppose -4*l - 22 = -g, 4*l = 2*l + 2*g - 14. Let x be q(l). Suppose 0 = -x*b + 7*b - 24. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48793?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.8 - -0.2. Let x = -2.3 + 2. Sort x, 0.4, z.\nAnswer: x, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/12*5)\/((-50)\/420).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 113 (base 5) to base 7\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 2*c - 1, f + 3*f + 12 = 4*c. Let t(s) = s - 9. Let z(r) = r - 1. Let o(q) = t(q) - 4*z(q). Is o(f) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -5\/2*a**2 + 1 + 2*a. What is the tens digit of q(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - 3392409.29497\nAnswer: -3392409.69497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 12977*l**2 + 30*l - 227. Let o be a(-21). Round o to the nearest one hundred thousand.\nAnswer: 5700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27905 - 194762\/7. Which is smaller: t or 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.5 >= -8022.24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 8*u**2 - 10*u + 7. Suppose 6 = -4*y + 14. Let h be ((-3)\/(-2))\/(y\/84*7). Give c(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*v + 3*v - 2 + 9*v + v**3 to the form m + t*v**2 + x*v**3 + d*v and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/4, 1\/3, 32031, 3, 4, -0.06 in ascending order.\nAnswer: -0.06, 1\/3, 9\/4, 3, 4, 32031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -7. Sort 3, 1\/5, w.\nAnswer: w, 1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*d**2*t + 989119*d**2 + 7808*d*t - 5*t wrt t.\nAnswer: -5*d**2 + 7808*d - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4531 divided by -49.\nAnswer: -4531\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(176) + -2 + sqrt(176)*-1)**2 + 2*(-1*sqrt(176) + sqrt(176))**2 + 5 + -5 + -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/1185 and -37\/45.\nAnswer: 3555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -909238*k**4*n**3 - 1439613*n**3 wrt k?\nAnswer: -3636952*k**3*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -307, -472, -583, -640, -643?\nAnswer: -592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.035 (b) 3\/8 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -147522 less than or equal to -147519?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/9*(-30)\/4. Let f be k\/2*6\/15. What is the closest to 2\/3 in f, -2\/7, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12348 divided by -1764\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k**3 + 11*k**2 - 8*k. Let d be (51\/85)\/(2\/10). Let b = -222 + 230. Let p(c) = c**3 - 4*c**2 + 3*c. What is b*p(i) + d*w(i)?\nAnswer: -i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - -3) + -10 - 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r - 1. Let h be t(1). Let i be (-2)\/(-2)*(0 - h). Suppose i*u - 5*w = 133, -2*w = 3*u + 3*w - 143. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549d0 (base 14) in base 10?\nAnswer: 205002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9139 + 10445. What are the prime factors of i?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.9 - -2.7. What is the second smallest value in 3, 0.09, s?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7643, 15488, 23757, 32666, 42431, 53268, 65393?\nAnswer: 79022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**3 + 20*h**2 + 96*h + 128. Let l(r) = -52 - 19*r**2 - 42 + 3*r**3 + 16*r - 34 - 112*r. Let k(s) = 4*l(s) + 5*o(s). Let k(n) = 0. Calculate n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 3*c = -1, 3*w - 2*c - 1 = -0*c for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 156834?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66)*-1)\/sqrt(2))\/((sqrt(6) + 2*sqrt(6) + sqrt(6))\/sqrt(2)))**2.\nAnswer: 11\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + 10 + 5 + 84\/(-12). Solve -4*y + 6 = -r*t + 9, t - 4*y - 7 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, 15951, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2749*12357.5\nAnswer: -33970767.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 9, -2*w - 18 = -3*d + d. Let z = -5 + 1. Let g = z + d. What is the highest common divisor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 114\/29995 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -3. What is the remainder when 21 is divided by 7 - (k - 1) - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2. Let v(x) be the third derivative of -x**6\/144 - x**4\/24 - 2*x**2. Let z(w) be the second derivative of v(w). What is m(z(b))?\nAnswer: -25*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 9 - 6*d + 7 + 3 in the form g + j*d and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 12:50 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**3 - n**3 + 3*n**3 - 6*n**3 + 3*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2 + 11*z + 656. What is o(-40)?\nAnswer: -2984","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -69 - -64. Let c be 1\/4 - 70\/(-8). Sort c, -1, s, 4.\nAnswer: s, -1, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18711919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3 = 4*q. Let j be 1*-1 + (-1 - -2). What is the closest to j in 2, 0, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, q: 2, z: 1, a: 1, v: 1, n: 1}. Give prob of picking 2 q and 1 v.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**3 + 9332 - 9263 - 24*q**2 + 24*q**2.\nAnswer: 3*q**3 + 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 860\/95 + 3.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 601267 and -56.\nAnswer: 601211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50423498 by -1.\nAnswer: 50423498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeosooosooo. Give prob of picking 2 s.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.6, 5, 8, 2350, -4.\nAnswer: -4, 0.6, 2, 5, 8, 2350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 1\/54, 0.8, -2\/11, 5 in decreasing order.\nAnswer: 5, 0.8, 1\/54, -2\/11, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4\/7)*c\/c**(-1\/4)*(c\/(c\/((c\/(c**0\/c))\/c)))**50)**(-2\/65) assuming c is positive.\nAnswer: c**(-1419\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 66? (a) 3\/4 (b) 0.07 (c) -0.1 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 13 = -9*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -5*t**2 - 8*t - 5. Let c(s) = -s**2 - s - 1. What is -6*c(i) + f(i)?\nAnswer: i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-2\/5)*q\/(q\/((q\/((q*q**(-43)*q)\/q))\/q)*q))\/(q**(-2\/13)*q*q**34*q) assuming q is positive.\nAnswer: q**(426\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.4348 and -0.5.\nAnswer: 0.7174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*d**5 - 464972*d**4 - 1036568244*d**3 + 12752340524*d**2 + 10422635080*d = 0. What is d?\nAnswer: -4477, -10\/13, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/36 and 23\/1981407?\nAnswer: 23776884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 a factor of 164131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 5*o - 1145, -695 = -3*l + 6*o - o. Calculate the remainder when l is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 222755284 or 222755282?\nAnswer: 222755284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6138769 divided by -2093\nAnswer: -2933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + 2*5\/(-25). Let p = -208\/45 - i. Which is the closest to p? (a) 5 (b) 2\/13 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (7 - (4 + 7 + -3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(1088)*-2)**2 + sqrt(68)\/sqrt(4) + -5.\nAnswer: sqrt(17) + 4346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -749 - -744. What is the second smallest value in 3, v, 2\/17, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q + 13. Suppose 3*g = 5*x + 34, -2*g - 4 = 2*x + 16. Let w be d(x). Calculate the highest common factor of w and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 4:57 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 474 a factor of 18929691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1248\/637 - (22\/(-99) - 320\/(-144))?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 9, -8 in descending order.\nAnswer: 9, 0, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -11114 (base 7) in base 11?\nAnswer: -211a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 1, 164.6726, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 0 - 176*g - 6 + 28 - 15 as f + y*g and give y.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -439*k**2 + 448.\nAnswer: -878*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2806*s + 8523*s - 2825*s + 3 - 2849*s.\nAnswer: 43*s + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 0, w + 112 = -4*v + 325. Calculate the highest common divisor of 3 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*k - 48*k - 42*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03553964 - -967.3?\nAnswer: 967.33553964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (-862)\/(-6) + (-5)\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 88*m**2 + 57*m + 1130. What is the tens digit of l(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3231101223 (base 4) to base 9\nAnswer: -1741150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 14) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -5*v - 1494199. Let a(j) = -2*j**2. Give w(a(l)).\nAnswer: 10*l**2 - 1494199","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17 and 1737064.\nAnswer: -29530088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a76 - -3?\nAnswer: -a73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.45 - 0.45049. What is x rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of 3*b**4\/4 - b**3\/3 - b**2 + 2*b + 2. Does 9 divide r(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/10, -2, -1\/2, 280, -1\/8 in ascending order.\nAnswer: -2, -1\/2, -1\/8, 1\/10, 280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 130469*y - 6260204. Determine i(-48).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 290 = -2*x + 6*x, 3*r - 938 = 5*x. Let q be 4\/18 - 104\/r. What is the second biggest value in -3, q, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-5) - 42\/(-5). Let i = -3 + m. Suppose 5*v - s - s - 144 = 0, -4*v + 135 = i*s. Calculate the greatest common divisor of 12 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -149.021429 to the nearest integer.\nAnswer: -149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 69*c. Let z be (-10 + 11)\/(1\/7). Let r(q) = -z*q + 21*q - 17*q. Give r(b(l)).\nAnswer: -207*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, w: 1, f: 1, h: 4, i: 3}. What is prob of picking 2 h?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*o**2 - 10*o**3 + 74*o**2 - 21*o**2 - 136*o**3 - 24*o**2.\nAnswer: -146*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g + 1. Let i be p(-5). Let q be i\/8 - (-2)\/8. Let b = 8 - q. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60 - 20. Let t = -12 - -32. What is the greatest common divisor of g and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -3*h + 302, 0 = -12*h + 14*h + 4*s - 200. What is the greatest common factor of h and 832?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40.8634509231 + 1941590.4365140769. Let n = -1941636 + z. Let s = -4.7 - n. What is s rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and 58450.04837.\nAnswer: 58455.04837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 5 - 799*f**2 + 418*f + 4 + 1603*f**2 - 805*f**2 as m*f**2 + b + k*f and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 110, 109, 108, 107?\n\"Answer: -c + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b - 45. Let f(g) = -8*g**2 - 7*g + 7. Let p(q) = 7*q**2 + 6*q - 6. Let v(x) = 6*f(x) + 7*p(x). Calculate z(v(l)).\nAnswer: 3*l**2 - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (121\/264 - (-7)\/(-21)) + 14\/16. What is the nearest to 1\/8 in 0.4, 0.1, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 119 and 959?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c. Suppose 0 = 44*m - 57*m. Let f(z) be the third derivative of m*z**3 - 2*z**2 - 1\/8*z**4 + 0 + 0*z. Determine f(a(j)).\nAnswer: -15*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-55)\/40)\/(-11)*8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -48 + 8178?\nAnswer: 8130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1802012 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/16)\/(205\/(-40)). Let g(y) = 17*y + 352. Let b be g(-21). What is the smallest value in w, 4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 773 is divided by 698?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 27*x - 48. Suppose 4*n = -2*k + 607 - 19, -5*k + 1442 = -x*n. Does 23 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 0. Suppose 4*i = 4*u - 20, j = -3*i + 4*i. Suppose -5 = u*f + 5. Which is smaller: -4\/3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32112610459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -7, -3, 1 in descending order.\nAnswer: 10, 1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6927370883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2472 = -3*q + 6*q. Let g = -411 + q. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -32*k**3 + 3*k**2 - 2*k + 3. Let m be z(-3). Suppose 3*o - 3*l + 2700 = 0, -o + 4*l = l + m. What is the units digit of o\/27*(1 - (-46)\/(-10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1013, -1016, -1019?\n\"Answer: -3*s - 1010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20916331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-43216)\/(-2072))\/(6\/(-21))\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {g: 5, e: 3, f: 4}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, o: 3, r: 3, u: 2, j: 1, p: 1}. What is prob of sequence ujr?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = l. Put l, 3, -5 in descending order.\nAnswer: 3, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*b + 10, b + 3*c = 2*b - 15. Let m(v) be the second derivative of b*v**2 + 1\/6*v**3 - 4*v + 0. Give m(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**4\/12 - o**3 - 2*o**2. Let u be f(3). Sort 2, 1, u in descending order.\nAnswer: 2, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19 - -17?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -152*m + 142*m + 50. Put 3, m, 0, -3\/4 in decreasing order.\nAnswer: m, 3, 0, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -5, 3, 2, 0.1, -2 in increasing order.\nAnswer: -10, -5, -2, 0.1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11010*d*r - 29582*r wrt d.\nAnswer: -11010*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-105)\/14*((-2)\/(-5))\/(-2)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1547118\/20355 - 18\/2655\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 907*v - 903*v + 39 = 3*z, 4*v + 4 = -4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1078\/(-231))\/(2\/(-3)). Suppose 3*u - m = -4*b + 21, u - b = 0. Solve -13 = 4*l + 2*x - 3, -u*x = -l - 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16625*d**2 - 16624*d**2 + 215*d**3 - 8880*d**3.\nAnswer: -8665*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -9\/112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -12 + 3 - (8 - 8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -235627208 less than -30594?\nAnswer: 235596614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2551*m - 2546*m + m**2 + 5098*m + 4*m**2.\nAnswer: 5*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22905*d**3*m*o**2 + 13*d**3*o**3 - 1587*d**2*m*o**3 - 13*d**2*m*o - 2*d*m*o**3 - 2*d*m*o wrt d?\nAnswer: -137430*m*o**2 + 78*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15*(-20)\/90)\/((-20)\/24).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -25*m. Let j(r) = -3*r - 12. Calculate b(j(s)).\nAnswer: 75*s + 300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/1875 and 91\/169875.\nAnswer: 849375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95 + 5*t - 98 + 396 - 98 - 105.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -186 and 5.\nAnswer: -930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 328265 and 113.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*l = -0*l + 13, 16 = 4*l. Let b(o) = o + 2 + 3 + 0. Let t(f) = f + 5. Let i(z) = -3*b(z) + 2*t(z). Give i(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/17 + 14*o**2\/17 - 60*o\/17.\nAnswer: 2*o*(o - 3)*(o + 10)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -15*k**2 - 9. Let g(m) = -231*m**2 + 456*m**2 - 15 + m**3 - 6*m - 226*m**2. Let y be g(4). Let t(w) = 7*w**2 + 4. What is y*t(b) + 4*j(b)?\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d + 41. Let g(h) = -60*h - 861. Let z(r) = -3*g(r) - 63*i(r). Let x(l) = 3*l - 101. Determine z(x(k)).\nAnswer: -27*k + 909","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 5*r, 4*d - r = 2*r. Let w be d\/2*(1 + -2). Suppose w = 2*z - 50 + 12. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-1764)*14*9)\/((-3)\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10049 is divided by 1299?\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 47da0 (base 14) to base 12\nAnswer: 85720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, w: 15}. What is prob of picking 2 w and 1 f?\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 1)*(-5*t + 3*t + 3*t)*(-1 - 1 + 0)*(-t + 4*t - t).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 4\/5, -0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-4*sqrt(76) - (sqrt(76) - ((sqrt(76) + -2*sqrt(76)*3 - sqrt(76) - sqrt(76)) + sqrt(76))))\/((-2*sqrt(24)*2)\/(sqrt(6) + sqrt(150)*-2)).\nAnswer: 81*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 200\/(-252) - 16\/(-28). Let x = -1\/4 - 1\/4. Which is the nearest to 2? (a) 0 (b) x (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(6\/(-3) - -5). Let x be -6*(-1 + 0\/d). Suppose 2*i = x*i - 16. What is the nearest to -0.1 in 0, i, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*l - 5*w = -5, 2*w = -5*l + 23. Suppose -5*q = 3*g - q - 51, l*q + 120 = 5*g. Let a = 25 - g. Solve -5*y = -3*y - a, 2*n + 3*y = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1271767*s**5 + 232017*s**2 - s.\nAnswer: 76306020*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103230133132 + -3111?\nAnswer: -103230202303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of 3*l + 0*l**4 - 3*l**2 + 0*l**3 - 1\/6*l**6 + 0*l**5 + 0. Find the first derivative of o(r) wrt r.\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.005 or 57332?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/2284128 and -109\/108768.\nAnswer: 2284128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1428 - 3.\nAnswer: -1431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7084 = -4*p - 2*g, -2*g - 9369 - 4787 = -8*p. What are the prime factors of p?\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 508850566.\nAnswer: 2, 7, 37, 982337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135 and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 0 + (-5 - -16). Suppose -x - s + a = 4*x, -3*s = 5*x - 9. Suppose -16 = 5*z - 2*h + x, -2*z - 25 = 5*h. Sort -11, -4, -3, z.\nAnswer: -11, z, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1 - 1819*z + 3618*z - 1816*z + 2.\nAnswer: -17*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -276 + 161. Let y = l + 129. Solve 0 = -2*u - 16 + y for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - d = 3*d + 20, -w + d + 5 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1896.841 + -1898. Round w to two decimal places.\nAnswer: -1.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - (-75)\/12)\/((-6)\/(-16)). Let i be (-21 - (-2 - -6))\/(-1). Suppose -1 = p - i. Calculate the highest common divisor of o and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -512305 (base 9) in base 12?\nAnswer: -127788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) 973 (c) 0 (d) -1 (e) 0.037\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -39bd9?\nAnswer: -39bdc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z - 71. Give j(23).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of 4*b**7\/21 + b**5\/30 + b**3\/6 - 2*b**2 - 33. Find the third derivative of m(o) wrt o.\nAnswer: 960*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 5:15 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 4*r**2 + 3. Let j be 1\/(-4) + (-75)\/20. Let w(c) = 2*c**2 + 9*c. Let p be w(j). Let g be a(p). Solve 2*t + b - g*b = 8, -t = 5*b - 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of 33*u**6\/20 + 467*u**4\/24 + 2*u**2 + 42*u. Find the second derivative of r(p) wrt p.\nAnswer: 1188*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-12))\/(((-976)\/(-305))\/((-18)\/(-15)))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 225580834 + -149980815. Suppose 5*f + 2*s + 94500034 = -2*s, 4*f + z = 5*s. Let a be -2 + f\/(-3)*1. What is a rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*b**2\/4 + 27*b\/4 + 1\/2.\nAnswer: (b + 2)*(13*b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*u - 132, 39*r = 35*r + u + 42 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6271, -10429, -14587, -18745?\n\"Answer: -4158*r - 2113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 165758, 165868, 165976, 166082, 166186, 166288, 166388?\nAnswer: 166486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2303, -5676, -9049, -12422, -15795, -19168?\nAnswer: -22541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - -135458.89708.\nAnswer: 135458.59708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 8*o = 424. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fpfa when four letters picked without replacement from ffapf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqvzvvvvvvvvvvv. Give prob of sequence vzv.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -17, -91, -219, -401?\n\"Answer: -27*r**2 + 7*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 87 - -4?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 708 divided by 2\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54 by -299423.\nAnswer: 54\/299423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/5 - (-18 + 19). Let v = 7 - 4. What is the biggest value in -2\/17, v, c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1062 - -1130) + -39 + -6.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k + 2*r + 17, 224*k - 460*k + 4*r = -232*k + 36 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 737020078 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b. Let h(v) be the first derivative of -7*v**5\/40 + 36*v**3 - 16. Let t(n) be the third derivative of h(n). Calculate y(t(l)).\nAnswer: 21*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**6\/(c\/c**(3\/5)))**33 assuming c is positive.\nAnswer: c**(924\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(209)*-2*-4 - (sqrt(209) + 1*-2*sqrt(209)))\/((sqrt(110)*1*-1 - sqrt(110))\/sqrt(10)).\nAnswer: -9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 38*c + 107. Determine m(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*d**2*m**2*p - 50300*d**2*p - 4451*d*m**2*p + 4*d*m*p + d - m*p wrt d?\nAnswer: -8*m**2*p - 100600*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**2 + 779262*i**4 - 1 + 6 - 5*i**3 - 779263*i**4 - 20*i as n + l*i**3 + g*i**2 + j*i + t*i**4 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(0 + -5))\/(-2 + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 10*g - 12*g - 5*u, -5*g - u - 20 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112799 is divided by 1066.\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 421?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.8 in 5, 7\/3, -5\/2, 88, -1?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4478 is divided by 112?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*w - 17547 = 782*w + 3594 for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(17)*-1 + ((sqrt(34)\/sqrt(2) - sqrt(17))*-1)**2 + ((sqrt(2057) + 1 - sqrt(2057)) + -2)**2.\nAnswer: -sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 225 + 111 = 0. What is the least common multiple of 18 and p?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 + 891*m + 93885. Determine b(-171).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**6\/120 + 7*v**5\/30 + 25*v**4\/24 + 5*v**3\/3 - 35*v**2. Let f be m(-9). Let n = f + -132. What are the prime factors of n?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -1\/2 (c) -17 (d) -2 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -541 (base 10) in base 14?\nAnswer: -2a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*m = -19, -3 = 2*m + 5. Suppose -101 = -9*j - 146. Sort p, j, 2.\nAnswer: j, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.14 from 535722141376.\nAnswer: 535722141378.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*w + 6 + 5, 2*w = -4*z - 16. Suppose 3*f + w*q = 4*q, 5*f = 4*q. Let r = f - -2. Solve 6*c = 3*c + 15, -4*x + r*c = 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3199990 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8496b8 (base 12) in base 15?\nAnswer: 2b448b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/464625 and 27\/2360?\nAnswer: 3717000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97 + 6*u - 4*u - 97.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**2\/3 + 6*g + 16\/3 = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2545057297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.8088 to one dp.\nAnswer: 17.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -9*b + 4. Let j(u) = -u + 2. Let s be j(7). Is v(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -217, -1193, -3373, -7207, -13145?\n\"Answer: -75*c**3 - 152*c**2 + 5*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17802 = -3*h + 3*s, 12*h - 11852 = 10*h - 2*s. List the prime factors of h.\nAnswer: 2, 5, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 90.68144mm?\nAnswer: 0.09068144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w = -5*w. Suppose 81 = -w*d + 27*d. Solve d = -2*a + 5*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*i + 12 = -59*i. Let d(r) be the first derivative of 7\/2*r**i + 0*r**3 + 0*r - 3 - 9\/4*r**4. What is the second derivative of d(x) wrt x?\nAnswer: -54*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 12:47 AM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*m - 4 = 0. Suppose 5*p - 24 = 4*p + 5*d, 3*p - 5*d - 32 = 0. Let t = 20 - 17. Sort t, p, m in descending order.\nAnswer: p, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1073 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of q**3\/3 - 3*q**2\/2 + 3*q + 1. Suppose 4*z + 2*p = -9 + 21, -6 = -2*z - 3*p. What is k(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71855090 rounded to the nearest 100000?\nAnswer: 71900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68890483?\nAnswer: 163, 263, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 62, 2 in increasing order.\nAnswer: 2, 3, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/100 and 91\/15?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in 0.5, 26, -3\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5075654.92 minus 67.9?\nAnswer: -5075722.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 99 - 37. Let y = -20 + l. Let j be ((-1)\/(-1) + 1)\/(y + 1). Which is smaller: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, w: 3, e: 4, r: 3}. What is prob of sequence rz?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 2011022010322?\nAnswer: 2011022010312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -140.4 times 1903\nAnswer: -267181.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 24 - (-4 - -23 - -9)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 57*x - 732. Calculate j(14).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -7024 at most as big as -7025?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 171842 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-2) + (-528)\/(-3). Let b = i + 3. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 415875653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + -4 + 6 - -27) + -7?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37970559.\nAnswer: 3, 11, 173, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (4 + 0 + -6). Let l be 3*(0 + (-4)\/(-9)). Let y = -3 + -1. Sort i, y, l in descending order.\nAnswer: i, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1274)\/(-65) - 2\/10*-2. Suppose -30*q + k = -25*q. Suppose 4*b + 59 = y, y + q*b - 58 = -y. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -475355 + 269526371\/567. Calculate the common denominator of y and 17\/63.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/12)\/(-3 + (-52)\/(-18)). Suppose -w*y - 52 = -196. Calculate the remainder when 69 is divided by y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-483)\/102 - 1\/2 - (942 - 947).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/4 + 5*r\/2 + 6.\nAnswer: -(r - 12)*(r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*i = -0*i - 29, 2*p - 28 = -3*i. Suppose -310 = p*b - 838. Calculate the highest common factor of b and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 20 = 0, 3*g - 38 = -2*c + 6*c. What is the lowest common multiple of g and 272?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60 - -68. Sort -2, -3, f.\nAnswer: -3, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 45\/4 (b) -48 (c) 42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/2)\/(7*(-24)\/(-112))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 112788 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.541796 - 13?\nAnswer: 94.541796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -8*b**3 + b**2 + 3*b + 3. Let k(x) = -41*x**3 + 6*x**2 + 16*x + 16. Let r be (2\/1 + -4)*1. Let f(m) = r*k(m) + 11*z(m). What is f(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) 0.3 (c) -29.5 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 254324582 * -0.1.\nAnswer: -25432458.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f**2 + 4*f - 4. Let z be d(1). Let t be 20\/(-24) + (5 - 11\/z). Which is smaller: 9 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/5*o**2 - 1624\/5 + 2\/5*o = 0. What is o?\nAnswer: -29, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - 35. Suppose 5861*b + 3740 = 5113*b. Sort 2, b, n, -2 in increasing order.\nAnswer: n, b, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-3)*1 + 2. Suppose 0 = 5*x - 4*p - 18 - 2, x + 15 = -j*p. Let v(r) = r**2 - r - 3. Give v(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -17, -318, -6, 3, 10.\nAnswer: -318, -17, -6, 2, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-483)\/2898)\/(1\/(-15))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1937.000007121 - -1937. What is r rounded to seven decimal places?\nAnswer: -0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -95*f**2 + 12*f + 86. Let u be q(-5). Let k = -839 - u. What are the prime factors of k?\nAnswer: 2, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*h - 315 = 0. Let i = 50 - h. Solve i*b = -9 + 24 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - 5 - 4*m**2 + 2*m**2 + m**2 to the form t*m + c*m**2 + u and give u.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 19*t**2 - 61*t + 494. Let g be z(10). Which is greater: g or -1015?\nAnswer: -1015","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0) + 1 + -2 - -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65)\/117*(-18)\/(-135).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2*(5 + sqrt(1584)))**2.\nAnswer: 960*sqrt(11) + 12872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-18\/13)*x*x*x\/x**(-2\/45) assuming x is positive.\nAnswer: x**(971\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/6381 and 23\/5060133?\nAnswer: 5060133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1135966592 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 11*f**2 + 10*f - 3. Let c be u(10). Let d be (c\/14)\/(38\/399) - -2. Let t = -0.8 - -1. Put 0.4, -2\/5, d, t in descending order.\nAnswer: 0.4, t, d, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 d when four letters picked without replacement from hhdhdddd.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 2, 1 in descending order.\nAnswer: 2, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*z**5 - 4727*z**4 + 2*z**3 + 53*z**2 + 2*z - 307.\nAnswer: -1620*z**2 - 113448*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -2d?\nAnswer: 2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 23. Let n = 16 + h. Suppose 0 = -j - n + 67. Is j a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2 + (3 - 2 - 3)*(0 + 0 - 1) + 3 - 1 - 4 + 3 + 1 - 5 - 2 + 5 - 2)*(v - v - 2*v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 642972 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8636 + 14675. What is the common denominator of 2 - 40\/18 - 2623\/w and 44\/7?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -173849*r - 144542 wrt r.\nAnswer: -173849","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k + 24 = 99 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/7 < 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 304420?\nAnswer: 304423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**3\/7 + 40*d**2\/7 - 148*d\/7 + 104\/7 = 0. What is d?\nAnswer: -13, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -35 and 491?\nAnswer: -17185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 672? (a) -331\/11 (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 352, 0, 0.4, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrlrsrrsrtrr. What is prob of sequence rs?\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*-6593*(-10 + 9). Suppose 25*s = 6*s + o. List the prime factors of s.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) 1 (c) -1\/4 (d) -4 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k - 12*k + 6*k - 9*k.\nAnswer: -22*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -20*v - 78. Let c be n(-6). Suppose -c*h = -34*h + 150240. Round h to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68308*o + 67855*o = 8607 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 3, u: 1, g: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6\/11)*u**(-3\/7)*u**(-13)\/((u\/u**(-2\/35))\/u*u))**(-24) assuming u is positive.\nAnswer: u**(138888\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3812.74m in nanometers?\nAnswer: 3812740000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24*m**2 - 18*m**2 + 32*m**2)*(0 + 1 + 2 + (-4 + 3 - 1)*(5 + 1 - 3) - 1 + 5 - 3 + 1 + 0 + 2) to u*m**2 + q + n*m and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24669894 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - 0. Let k = -17488 - -17488.64. Is k at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7262 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -129 + (54 - 20) + -21 + 8?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1929465041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 111 + -99. Suppose -3*t = -6*t - 5*g + 45, -2*t - g + 37 = 0. Calculate the lowest common multiple of l and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(0 + -2*sqrt(1100) + -6*-1*sqrt(1100) + sqrt(1100) + 2))**2 + 3)*4*1.\nAnswer: 28800*sqrt(11) + 3960588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2 + (-350 - -334)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -0.0379218.\nAnswer: 0.3620782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**3 - 22*s**2. Let n be w(11). Suppose 4*u - 5*q - 271 - 97 = n, -5*u = 3*q - 423. Is u even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 348 + -292. Differentiate -132*k**2 + 161*k**2 + 76*k**2 - f - 89 wrt k.\nAnswer: 210*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-264)\/46530*-47)\/(8\/18).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5391, -5378, -5353, -5310, -5243, -5146?\n\"Answer: f**3 + 6*f - 5398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -10\/11 (b) -0.2 (c) -3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3412756?\nAnswer: 2, 853189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -736*i**3 + 81274 - 81274.\nAnswer: -736*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -27981831\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60 - -62. Let l(n) = 3*n**2 + 6*n**p + 21 + 0*n**2 - 8*n**2 - 11*n. What is l(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321761464 take away 0.789213?\nAnswer: 321761463.210787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 323*f**3 + 21967*f**2 - 119522*f + 97 wrt f.\nAnswer: 1938*f + 43934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 16*n**2 + 5*n - 64. What is the hundreds digit of c(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -2. Suppose -7*y + 2 - y + y - 2*y**2 + d*y**2 = 0. What is y?\nAnswer: 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 15, x = 3*z + 4*x + 30 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -209, -785, -1749, -3113, -4889, -7089, -9725, -12809?\n\"Answer: -2*x**3 - 182*x**2 - 16*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 402\/16*10*2\/12135 and 67\/6.\nAnswer: 4854","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1188*q - 216 = 72944 - 5444 for q.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*j - 1295 - 433 = 0. Suppose 66*l = j*l - 12. Solve -4*w - u - 12 = 0, l*w + 3*u + 1 + 5 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.1 and 65432803.\nAnswer: 65432804.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -27ba07 (base 12) in base 16?\nAnswer: -a1ee7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 518672258 to the power of 1\/4, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -225 - 30065?\nAnswer: -30323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (71\/4)\/(76 + (-11285)\/148)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 - -620931132.\nAnswer: 620931131.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**2 - 5*k + k**4 + 383 + 7*k**3 - 6*k**3 - 386 in the form q*k**3 + b*k**4 + t*k**2 + g + a*k and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 900.3 + -900.8. Put 691, 0.3, b in ascending order.\nAnswer: b, 0.3, 691","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*w**2 + 75*w**2 + 18*w**3 - 21*w**3.\nAnswer: -3*w**3 + 59*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -19554174 divided by 3?\nAnswer: -6518058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + (17 - 22) + -12.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -0.3 (b) -10 (c) 0.2 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.92244 - -0.07756. Which is the closest to -0.54? (a) 3 (b) 2\/11 (c) -0.3 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -3*n**6\/40 + n**4\/24 + 3*n**2 - 8. Let g(m) = -m**3 + 4*m**2 + 5*m - 1. Let w be g(5). List the prime factors of d(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 23, -65, -213, -421, -689?\n\"Answer: -30*j**2 + 2*j + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - 0) + 1 - -11. Let z be (12\/l)\/((-2)\/20). Find the common denominator of z\/(-32)*26\/(-1) and -97\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2087583257 to the power of 1\/2, to the nearest integer?\nAnswer: 45690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11929728 divided by -6?\nAnswer: -1988288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p + 3*p + p**2 + 13*p**3. Let k be t(1). Suppose 2*n + n + 9 = -4*i, -5*n - 41 = -2*i. Solve 0 = -i*f + k - 2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) 1825 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 14749+-6\nAnswer: 14743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17898759*p**2 - 27058902 with respect to p.\nAnswer: 35797518*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2638 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13611 - 3354?\nAnswer: -20265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 3*m + 56 + 46, 122 = 3*g + m. Calculate the lowest common multiple of 15 and g.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24.6 + -2.4. What is the second smallest value in 0.4, c, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-42))\/(4\/(-14))*-10. Solve 4*p + 13 = -v + 32, -6*p = b*v - 25 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i\/(i*i**(2\/27)\/i))\/i*i)*i)**(-1\/27)\/(i\/(((i\/(i*i**(15\/8)*i*i*i*i)*i)\/i)\/i*i)*i**(21\/4)) assuming i is positive.\nAnswer: i**(-70945\/5832)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*o - 24. Is -10 <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - -1) + (-1 - -31)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 3:39 PM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 (base 11) in base 9?\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1559 times 2428?\nAnswer: -3785252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.2, 74, -15\/4 in descending order.\nAnswer: 74, -1.2, -15\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80422, 80399, 80372, 80341?\nAnswer: 80306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wnyv when four letters picked without replacement from vyvwyaeynwwevwwyyway?\nAnswer: 3\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 27 - 42\/((-1848)\/572).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 divided by -9?\nAnswer: -74\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 128 by -96.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-5\/7)*u**(-11))**(-25)\/((u*u*u\/(u\/(u\/u**(1\/2))))**(-2\/27)\/((u**(1\/7)\/u)\/(((u**(4\/9)*u)\/u*u)\/u*u))) assuming u is positive.\nAnswer: u**(7175\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8\/5, -0.1, 4\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10082\/35 + -1761\/5. Let x = k - -64. Which is greater: 0.1 or x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/11)\/n)\/(n\/(n\/n**(-4)))*n**(1\/5)\/n**(-2\/7) assuming n is positive.\nAnswer: n**(1307\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 188439 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: Suppose -2*i = -3*w - 20, i + 3*w = 5*w + 11. What is the highest common factor of i and 20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -4, 1, -1\/8, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102660, -102680, -102700, -102720?\nAnswer: -102740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 67\/5? (a) 0 (b) -8\/9 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*(-2)\/12*2. Which is greater: r or 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*h - 2*h. Suppose -h*x + 821 = 176. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/2793 and 17\/109399017.\nAnswer: 109399017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -104 * 166.\nAnswer: -17264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(85)*-2*-4)\/(sqrt(20)\/sqrt(4)*4))**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 227388 from 2.\nAnswer: -227386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 8:37 AM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 162452782 to the nearest integer?\nAnswer: 12746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/12*4 + -91. Let j = 188 + l. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttzzitz. What is prob of sequence ziz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -375?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*g + 1. What is the units digit of (-96)\/g + (-8)\/40?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17799509 or -2\/21?\nAnswer: -17799509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*r**2 + 17*r**2 - 11*r - 13*r**5 - 12*r wrt r?\nAnswer: -260*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17 + 2425a?\nAnswer: 24274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-228)\/9)\/2*(-1 + -2). Suppose g - 40 = 4*l, 0*g = g - 2*l - s. Let m be (6 - 7\/1) + 19. What is the greatest common divisor of m and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0*p + 3*r + 11 = 0, 11 = p - 4*r. What is the second biggest value in -24, -0.1, 1\/3, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/6 and 32\/45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5359723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.26 + -0.04. Let g = -2.99 - -3. Let q = g + -0.01. Which is the closest to q? (a) h (b) 4 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 7*f**2 - 8*f. Let w be s(8). Suppose -o + 0*o = w. Suppose -3*c + 3*y + 72 = o, -c - y = -17 + 3. List the prime factors of c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 452544.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - p + 5*p = 0, 0 = 3*p + 9. Let f = 5 - l. Let s be f\/7 - (-1158)\/14. Round s to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10821 is divided by 48.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.81 + 20.258. What is z rounded to one dp?\nAnswer: 16.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -5*d**2 - 18*d - 257. Let j(w) = 7*w**2 + 17*w + 256. Let o(a) = 2*j(a) + 3*y(a). What is the first derivative of o(r) wrt r?\nAnswer: -2*r - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152627789 to the power of 1\/2, to the nearest integer?\nAnswer: 12354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1880)\/12)\/((-4)\/(-24)). Let j(z) = 4*z**2 - 4*z - 2. Calculate the remainder when j(-3) is divided by (-10)\/(-4) + v\/(-40).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 724*i - 2893. Determine d(7).\nAnswer: 2175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g - 5. Let f(w) = 16*w - 19. Calculate -9*a(d) + 2*f(d).\nAnswer: -4*d + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -1211*b + 60534. Give n(50).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 3)*4\/3. Let o = z - -7. What is the highest common divisor of 3 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2931779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1*0.2415\nAnswer: 0.2415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1196*z = -1199*z + 90. What is the highest common factor of z and 4040?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**4\/4 - n**3\/2 + 11*n**2\/4 + 3*n - 9 = 0 for n.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -10, -4, 7 in decreasing order.\nAnswer: 7, 0, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 14*u - 407. Determine q(13).\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55 - -55. Suppose -3*j + 520 = 2*z - n*z, 708 = 4*j - z. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 779360*b**2 - 2922099*b + 1?\nAnswer: 1558720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + (7 - (-35 + -1)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 6)*(-3*m + 2*m + 2*m) - m - 3*m + 5*m + (m + 4*m - 4*m)*(-2 + 1 + 3) + 21*m - 3*m - 9*m.\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1558 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 7:02 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + (sqrt(153) - -3*(sqrt(153) - (sqrt(153)*-2 - sqrt(153)))))\/(sqrt(729) - sqrt(729)*3).\nAnswer: -7*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 5*z - j - 2, -5*j = -2*z + 10. Let a = 3 - z. Is a smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 2)*(-u**4 + u**4 - 2*u**4) + 9*u**4 - 3*u**4 + 0*u**4 + 2*u**4 + u**4 - 2*u**4 + (3*u**2 + 0*u**2 - 2*u**2)*(-3*u**2 - 2*u**2 + 7*u**2).\nAnswer: 7*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 13) to base 2.\nAnswer: -110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*g + 857 - 1085 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmo when three letters picked without replacement from {m: 2, o: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -42*t - 7. Let i(m) = -m - 2. Determine b(a) - 3*i(a).\nAnswer: -39*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b204 (base 13) to base 4.\nAnswer: 122321300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.621? (a) 32 (b) -0.1 (c) 76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18543 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s - 9 + 12*s + s - 56*s**3 + 57*s**3 - 9*s**2. Give d(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -587 = -32*u - 619 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventeen halves of a century?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5540 and 6925?\nAnswer: 27700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -55866.9569399 and -2.9?\nAnswer: 55864.0569399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -23*i**2 + 3*i + 197. Let r(y) = 13. Calculate -2*c(f) + 30*r(f).\nAnswer: 46*f**2 - 6*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.081177947 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaiaiaoaiaioii. Give prob of picking 2 i and 1 o.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (6 - 3) + -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.5 + -1.3. Suppose 4*t = -5*a - 37, -32 = 3*a + a + 4*t. Let g = -0.9 + 1. What is the closest to g in a, 1\/4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 183 + -178. Let k(t) = -t**3 + 5*t**2 - 2*t + 12. Calculate k(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -h**5\/12 - h**2. Let d(k) = 3*k. Let f(v) = 4*v. Let z(b) = -6*d(b) + 4*f(b). What is z(s(n))?\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11258170999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -15*a**3 - 12*a**2 + 13*a**3 - a + 4*a**4 - a + 4 = 0.\nAnswer: -1, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4753717757.\nAnswer: 47, 101142931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -911718 - 0.2?\nAnswer: -911718.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 3 + -8 + 18 + -12?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 7 = -2*u, 2*f - f - 3*u - 5 = 0. Suppose 6*x = 2*x + 116. Suppose -x = -2*w + 33. What is the remainder when w is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -256.1256 rounded to the nearest ten?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bw when two letters picked without replacement from biwnw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7823401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -26, -58, -108, -188, -310, -486?\n\"Answer: -2*z**3 + 3*z**2 - 27*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i\/(i\/((i*((i**(1\/4)*i)\/i)\/i*i)\/i)*i))\/i)\/i)\/(i**(-9\/7)\/i)*i**(-1\/18)*i\/i**(-21\/5) assuming i is positive.\nAnswer: i**(7157\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 13*t + 11. Let p(y) = 3*y + 4. Let n(h) = 2*a(h) - 9*p(h). Calculate n(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (1*sqrt(513) - sqrt(513))\/(sqrt(243)*1)*2)**2*-3.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/21)\/((-4)\/96).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15840 divided by 330.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248293 is divided by 9927.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 12*j**3 + 990. Let r(f) = 2*f**3 + 198. Calculate -2*d(a) + 11*r(a).\nAnswer: -2*a**3 + 198","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 + 0*y**2 - 3*y**2 + (2 - 2*y - 2)*(-3*y - 17 + 17))*(-3*y - y + 5*y).\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k + 149. Give h(143).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-34)\/(-10) - (-2)\/(-5). Let i(q) = 2*q - 3. Let t be i(v). Suppose -3*k = -t*a + a - 3, 19 = -4*k - 5*a. Which is smaller: k or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 328. Let s be o(24). Solve -s*m + 311*m = -14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11, -332, -1183, -2828, -5531?\n\"Answer: -44*i**3 - i**2 - 10*i + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-nine fifths of a hour?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 186 and 6526802?\nAnswer: 19580406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8055 divided by -1611?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 11:43 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 7*b + 8. Let a be s(7). Suppose -10 = -a*i - 34. Let v be (-5*15\/(-100))\/(i\/(-8)). Solve v*z = -9 - 1 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 4)*(-2*z**4 + 2*z**4 - 9*z**4) - 13*z**4 - 327*z**2 - 1 + 327*z**2.\nAnswer: -22*z**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4\/11 + 179319*f**3 - 96655342*f**2\/11.\nAnswer: f**2*(f - 49)*(f + 1972558)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -54, -6, -62, 2, -137.\nAnswer: -137, -62, -54, -6, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3198 is divided by 1049.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 2*z - 2. Suppose -7*l - 4*r - 8 = -9*l, l - 7 = 5*r. Let x(d) = -4*d**2 - 11*d - 9. What is l*x(w) - 11*j(w)?\nAnswer: 3*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/446711749 or -1?\nAnswer: -2\/446711749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -4*h**5\/5 + 21*h**4 - 52*h**3 + 38*h**2 + 33. Factor j(w).\nAnswer: -4*w*(w - 19)*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 6:33 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-6) + 143\/2. Let a = i + 25. Let v = a - 1055\/11. What is the third biggest value in v, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85 divided by -1662\nAnswer: -85\/1662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -1 + -5 + -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.965 - -0.0152?\nAnswer: -15.9498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilogram in grams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 63 - 60. Let l(v) = v**2 - 8*v - 5. Let r be l(9). Sort -2, a, r in descending order.\nAnswer: r, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/49)\/(2\/(-28))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 150 + -4?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -590, 42, 8, 3, -25 in descending order.\nAnswer: 42, 8, 3, -25, -590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c. Let o be s(0). Suppose o = -2*h + 7*h + 25, 3*v + 11 = -4*h. Let a be (-1 - (v + 0)) + -14. Is -18 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -24*t**2 - 9130*t - 36123. What is h(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, p: 2, i: 3, g: 2, z: 1, l: 4}. Give prob of sequence la.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -4, 1, 2, 1285?\nAnswer: 1285","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 70*b**2. Let n(p) = 13*p**2 + 8. Let l(k) = 7*k**2 + 5. Let s(q) = 11*l(q) - 6*n(q). Let y(h) be the first derivative of s(h). What is y(m(o))?\nAnswer: -140*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4 = -2. Suppose y + 15 = -o*w, 2*y + 4*w = 3*y - 20. Solve 4*m + 0 + 4 = y for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*((-10130)\/440 - -23).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -8 (b) 0.08 (c) 111 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122200202222 (base 3) to base 4.\nAnswer: -1111002023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*o + 11*o + o**2 + 3*o as n*o + b*o**2 + s and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 155647979, 155647984, 155648001, 155648036, 155648095, 155648184, 155648309?\nAnswer: 155648476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-62)\/6 + (-665)\/(-420)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -2, -4, -5, 4 in descending order.\nAnswer: 10, 4, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, k: 2, f: 3, i: 1}. Give prob of sequence fk.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556152 is divided by 1142.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00887 to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and (-8)\/14 + ((-558)\/(-21) - 2).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 26 = -2*n, 5*i + 19 = -n - 4. Let d = n + 3. Suppose d = -z + 1 + 4. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 150717635?\nAnswer: 150717633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 49\/5*j**3 + 1403\/5*j - 2116\/5 + 1\/5*j**4 + 663\/5*j**2 = 0. Calculate j.\nAnswer: -23, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 7) in base 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r**5 + 16*r**4 + 13*r**2 - 5*r. Let d(t) = 3*t**5 + 17*t**4 + 12*t**2 - 4*t. Let b(w) = -5*d(w) + 4*v(w). Find the third derivative of b(u) wrt u.\nAnswer: 60*u**2 - 504*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 613*v + 60*v - 175*v.\nAnswer: 498*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 t, and 1 b when four letters picked without replacement from {t: 1, w: 7, r: 6, x: 2, b: 2}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 2 + 1 + 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -139213400.156 and 34.\nAnswer: -139213366.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2901*x**2 - 15952 wrt x.\nAnswer: 5802*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40265 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(-11)*(-4)\/(-28).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.02 + -0.02. Let s = b + -13. Let n = -63\/8 + 283\/40. What is the third biggest value in -1, s, n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 199*0.16\nAnswer: 31.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i - 7. Let g be q(5). Let k be (5 - -46) + g\/(-2). What is the highest common factor of 13 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 6*s**2 + 8. Let k(y) = 3*y**2 + 8*y + 4. Let z(m) = 5*m**2 + 20*m + 6. Let h(i) = -5*k(i) + 2*z(i). Calculate -5*h(f) - 4*v(f).\nAnswer: f**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -73, 7, -173, 1.\nAnswer: -173, -73, -3, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182 = -8*j + 318. Suppose 0 = -2*a + 2*m + 18, 15*a + 14 = j*a - m. Let x(s) = -7*s - 4. Let n(w) = 10*w + 6. Give a*n(g) + 7*x(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -907 - 145. Let m = n - -15809\/15. Find the common denominator of m and 37\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 4)*(8*c + 5 + 16*c + 42*c).\nAnswer: 66*c + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 190 - 478. Let w = l - -288.1. Which is the smallest value? (a) w (b) 27 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 94266 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -344 + 807. What are the prime factors of k?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28909, -115629, -260163, -462511, -722673?\nAnswer: -1040649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y*y\/(y**(1\/2)*y)*y)*y\/(y\/(y\/((y\/y**(-6\/5))\/y)))*(y\/(y\/y**0))\/y*(y\/(y\/y**(-3\/2)))\/y)**16)**(-10) assuming y is positive.\nAnswer: y**512","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -8*t + 3*t. Let q = t - -7. Let j(n) = 6*n - 2. Does 14 divide j(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 3, 13 in increasing order.\nAnswer: 2, 3, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**2 + 169954566*n + 7221138626062089 = 0. What is n?\nAnswer: -84977283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 325*q**2 - 60*q**2 - 18*q**2.\nAnswer: 247*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/(-30)*37*305\/4514.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -13641 * -0.4\nAnswer: 5456.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 899017 - 270050. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 9, -1122, -27, -5 in descending order.\nAnswer: 9, 5, 0, -5, -27, -1122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1377) - 4*sqrt(1377)) + (sqrt(1088) + 2)**2 + sqrt(153) + 1.\nAnswer: 8*sqrt(17) + 1094","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259 = 3*z - 3*i + 67, -4*i - 321 = -5*z. Let s = 322\/5 - z. Let x be 64\/28 - (-5 - -11 - 4). Which is the second biggest value? (a) x (b) 1\/4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((5536314\/(-27))\/(-14))\/(3\/9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205 = -2*c - 199. Solve 0 = c*q - 5*h - 2 - 4, 3*q - 6 = 2*h for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 18*h**4 + 11. Suppose -4*g + 11 = 35. Let a(q) = 18*q**4 + 10. Let j(s) = g*w(s) + 4*a(s). Differentiate j(v) with respect to v.\nAnswer: -144*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20227468?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/33*(-6)\/(-16))\/((-151)\/(-11174))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 102248949 to the power of 1\/3, to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13460609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 186 = -3*j - 192, j + 3 = -2*w for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3615, -2\/11, 4, -5, -0.2, 0 in decreasing order.\nAnswer: 3615, 4, 0, -2\/11, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 3*y - 2*y)*(-2 + 0 + 5 + 6 - 1 - 2 + 1 + 1 + 1 + (2 - 1 - 2)*(0 + 2 + 0) + 1 - 18 - 1)*(-y + 1 - 1).\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 26922 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 441728 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2598998*f**2. Let j(k) = -2*k. Calculate j(g(t)).\nAnswer: 5197996*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/3*u**2 + 0 + 0*u - 2\/3*u**3.\nAnswer: -2*u**2*(u + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 407716559 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3 or 124?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 6:25 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*h + 4*h + 5*h + (4 + 0 - 3)*(-4*h + 0*h + 2*h) + (3 - 4 + 3)*(-27 + 27 - 3*h) to the form g + k*h and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 11:45 PM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1433946964.\nAnswer: 2, 317, 347, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 18*o + 81. Let r(b) = 16*b + 80. Let t(w) = -3*j(w) + 4*r(w). List the prime factors of t(28).\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 3*x**2 + x + 4. Let q be r(0). Suppose -4*s - 4*n + 307 = -29, -q*s + 3*n + 322 = 0. List the prime factors of s.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31323220 rounded to the nearest 10000?\nAnswer: -31320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6957397 <= 201764556\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.38 or -646?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 426*g. Let n(m) = -72416*m. Calculate -511*h(i) - 3*n(i).\nAnswer: -438*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**4 + 504*i**3 + 19860*i**2 + 239984*i + 404496.\nAnswer: 4*(i + 2)*(i + 18)*(i + 53)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 6*a - 5. Suppose -6*v + 3 + 69 = 0. Let s(n) = -12*n + 139. Let u be s(v). Let g(z) = -7*z + 6. Calculate u*g(t) - 6*p(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -3 + (0 - (15 + -8))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 41, 64, 85, 104, 121?\n\"Answer: -h**2 + 26*h + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -496 (base 14) to base 3\nAnswer: -1020221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1697723.\nAnswer: 1697723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**3 + q**3 + 3*q**3 + (0 + q**2 + 0)*(q - 2 + 2) + 2*q**3 + 3*q**2 - 3*q**2.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1478, 1463, 1448?\n\"Answer: -15*l + 1493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zb when two letters picked without replacement from zzzzzbzzzb.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 (base 16) in base 2?\nAnswer: 1010000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 4 + (1 - 7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 4. Let d(s) = 4*s**3 + 2*s**2. Let j(g) = g**3. Let f(l) = n*d(l) + 2*j(l). Find the third derivative of f(c) wrt c.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122\/217 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*1*(sqrt(176) + (sqrt(176) - (sqrt(176) - (-1*sqrt(176)*2 - sqrt(176) - sqrt(176))))**2).\nAnswer: 24*sqrt(11) + 16896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 645*k**2 - 86. Let c(d) = 38*d**2 - 5. Give 86*c(y) - 5*w(y).\nAnswer: 43*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 14*l**3 + 23*l + 11. Let u(f) be the third derivative of -f**6\/24 - f**4\/3 - 2*f**3\/3 - 3*f**2. Let t(w) = 6*n(w) + 17*u(w). Determine t(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + 1 + 2)*-4 - ((2*sqrt(1728) + sqrt(1728) - sqrt(1728)) + sqrt(1728))\/(sqrt(4) - sqrt(20)\/(sqrt(5)*-1)).\nAnswer: -42*sqrt(3) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d. Let p(k) = -36*k + 118. What is l(p(g))?\nAnswer: -36*g + 118","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 6 + 1)*(2*l**2 + 2*l - 2*l)*((-6*l + 6*l - l)*(4 - 5 - 2) - 2*l - 1 + 0 - 1) in the form q*l**2 + x + v*l + n*l**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1111146 + -430346. What is d rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2295*t**3 - 4588*t**3 + 32 + 2300*t**3 + 32 - 89 + 25.\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 3*h - 20*v + 23*v, 5*v = 2*h - 38 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/5 and ((-4 - 0) + -117)\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3268745419?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 576 and 2327616.\nAnswer: 2327616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -17685 at least as big as -123786\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -42402.607 and -1534927.\nAnswer: -1577329.607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 divided by 44?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z**2 + 2*z**2 - 4*z**2. Let q(m) = -2*m. Give o(q(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 2*b - 3. Let v be m(-1). Sort 5, v, 14, 11 in descending order.\nAnswer: 14, 11, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1420 take away 2774.4806?\nAnswer: -1354.4806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5b (base 14) to base 12.\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 6*m - 2. Let f(p) = -5*p**3 + 35*p**2 + 3*p - 20. Let h be f(7). Let o(k) = -1. What is h*x(w) - 3*o(w)?\nAnswer: 6*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 2*v + 13727 - 13745, 0 = -3*v - 7*q + 3*q + 7 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 244343488 and 4604?\nAnswer: 4604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1190 - -1246) + -9 + 1?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1212 - -1)\/((-9)\/(-27)). Suppose -15*k + 4206 = -g. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**2 + 659 + v**2 - 659 - 3*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p + 4. List the prime factors of f(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/3, -1.2, -1, -1\/5 in decreasing order.\nAnswer: -1\/5, -1, -1.2, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -206372528*l - 271367328?\nAnswer: -206372528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80 and 5?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**4 + 0*y**2 + 3*y**4 - y**2 + (-4*y + 0*y - 4*y)*(-2*y**3 - 2*y**3 + 3*y**3))*(-59*y - 21*y - 16*y).\nAnswer: -576*y**5 + 96*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z**3 - 34*z**2 - 5*z - 225. Let c be u(12). Let -4\/5*o + 2*o**c - 4\/5*o**4 + 0 - 2\/5*o**2 = 0. What is o?\nAnswer: -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110011011 (base 2) to base 13\nAnswer: -258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -88441, 0, -1, 1, -4.\nAnswer: -88441, -4, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 319.232358 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 1363 = -2*q - 3*p, -2*q + p + 679 = 0. Suppose 0 = 16*k - 21*k + q. Let m = k - -1. What are the prime factors of m?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a year?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-114)\/133)\/(3\/(-1))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, c: 4}. Give prob of sequence czz.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 168633 and 3199.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 6*u - 1. Suppose -5*s - 10 = -3*s. Let i be k(s). Suppose 4*b - 52 = -4*g, i*b = 5*g - 20 - 9. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*s = 98*s + 44 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3706520991?\nAnswer: 3, 37, 41, 71, 11471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-33)*-6*8\/96\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11 (b) -5 (c) 23 (d) 2\/11 (e) -0.02 (f) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61*a**3*d**2 - 849*a**3*g**2 - 33*a**2*d**2*g**2 + 119*a**2*d**2*g - a**2*g**2 - a*d**2*g**2 - 2*d**2*g**2 wrt a?\nAnswer: -366*d**2 - 5094*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 283 - 283.2. What is the fourth biggest value in r, 0.013, 4, -0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3835 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 2*l = 248 - 234, 4*p + 3*l = -20 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u**2 - u. Let p(m) = 2*m**2 + m. Let l(a) = 4*a**2 + 19*a - 2. Let i be l(-5). Let v(k) = i*h(k) + 5*p(k). Factor v(q).\nAnswer: q*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33493285*b*j**3 - 2*b*j**2 - 514*b + 38029*j**2 wrt j.\nAnswer: -200959710*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*i = 23*i + 31*i + 625 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33.981 + 34. Round j to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from {z: 2, v: 11}?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) -235023 (c) -0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*n - 26 - 29 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (30\/40)\/((-66)\/16)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*f - 1)*(f - 6*f + 4*f + (-f + 5 - 5)*(-2 + 1 + 2)).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -5*z - 110, -5 = 2*p + 5. Let j = -11 - z. What is the remainder when j is divided by (-275)\/(-30) - 1\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 283 and 1709886?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -280 + 113. Let j = 170 + c. Solve 0 = z - j*z - 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -t - 6. Let n(w) = -w**3 + 6*w**2 + 3. Let y be n(t). Let l be 16\/(0 - -4) + 1 - 7. Put 5, y, l in increasing order.\nAnswer: l, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 4:56 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 3, -5*w - 70188 - 94643 = -4*p. Does 203 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27.6 times 5\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3082.563 and 8.3.\nAnswer: 25585.2729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*a = -3*p + 38*a + 22847, 0 = -5*p + a + 38050. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 7*w**4\/12 - 11*w**3\/2 + 37*w + 18. Let r(q) be the first derivative of l(q). What is the second derivative of r(y) wrt y?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4943 divided by 3?\nAnswer: -4943\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**2 - 5*l**2 + 2*l**2 + (3*l + 0*l - 4*l)*(-2*l + l - l) + (6*l - 3*l - l)*(4*l - 5*l + 2*l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 32*f - 31*f + 116 - 20*f. Let x be n(6). Solve 1 = -2*y + 7*y - 2*l, x*l = -3*y - 9 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/142410 and -143\/5922.\nAnswer: 2990610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(4\/7))**0 assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56741 and 8.\nAnswer: 453928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*0.03.\nAnswer: 0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = x - 36, 55 = 4*x - p - 47. Calculate the remainder when (9 - 2)*504\/49 is divided by x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(384) + sqrt(384)*-2 + sqrt(384))*-6 - (-3*1*sqrt(384) + sqrt(384) + sqrt(384)))\/(sqrt(800)*-1*2 + sqrt(800)).\nAnswer: 6*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1039 + -1034. Let x = 10 + -4. Let l = 4 + -2. What is the biggest value in x, l, p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -989400 rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27904)\/134397 - 94\/(-423)?\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 2:03 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*t + 1103 = 23 - 776 for t.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 21*j - 126. Calculate b(26).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2583 - -2578. Let j(f) = -f**2 - 2*f - 1. Let t(g) = 2*g**2 + 4*g + 1. Let l(k) = -5*j(k) - 2*t(k). Calculate l(c).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*m = 2. Let u = -23 + 26. Suppose 3*z = -u*o - 0 + 3, -4*o + 3*z = 10. What is the biggest value in m, o, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -170? (a) -2\/7 (b) -2 (c) 3 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.779847 minutes to hours.\nAnswer: 0.31299745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2213111 - 110332?\nAnswer: 2102113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 11*s**3 - s**2 + 2*s - 2. Does 3 divide m(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/10)\/((-8)\/(-30)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7830115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -151 + -27. Let o = -178.1 - i. What is the smallest value in o, -5, -7, -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13324 (base 10) to base 6.\nAnswer: -141404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 2*u**2 + 2*u + 1. Let j be g(-1). Let w be 68\/20 + (-2)\/5. Factor 2*y - 5*y**3 + 2*y**4 - 4*y**4 + 3*y**w + 2*y**j.\nAnswer: -2*y*(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-10 + -7) - 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 57941713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 9 - 59 = -2*g, -3*g + 25 = 5*t. Let v = -19 + g. What is the tens digit of 1\/v*(-1116)\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((9\/(-3))\/(-207))\/((-175)\/(-1050))\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7 and 0.00283819138.\nAnswer: 7.00283819138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 416511 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -89001 - (-3)\/(-10 + 13). What is c rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -16, -58, -114, -172, -220?\n\"Answer: 2*f**3 - 19*f**2 + f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m**4 + 17*m**2 - 632*m + 2888 with respect to m.\nAnswer: -8*m**3 + 34*m - 632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/v**(-2)*(v\/(v*v**(1\/4)))\/v)**47)**(1\/3))**(-27\/4) assuming v is positive.\nAnswer: v**(-4653\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2260 less than or equal to 354?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 8*g - 17. Let s be z(10). What is the units digit of 192\/36 - (-2)\/s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25077 - 25246 - (0 - 119).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 163 + -156. Suppose -l*f = k - 3*f + 6, 2*f - 24 = -5*k. Calculate the smallest common multiple of k and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 k when two letters picked without replacement from {l: 3, e: 1, f: 3, v: 3, k: 1, r: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.6 and -0.167?\nAnswer: 1.433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -465 (base 10) to base 3\nAnswer: -122020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a day in hours?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-73 + 186 - 269)*(3*p + 0*p - 2*p) to h + w*p and give w.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3083 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -167425 divided by 11?\nAnswer: -167425\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*k = 1503 - 1746 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 907459 and 133.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 19*o - 163. Determine q(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -629 or -5122?\nAnswer: -5122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 153120 and 8265?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49 and 2639.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -977 - -4.\nAnswer: -973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1872*d**2*j**3*q + 2*d**2*j**3 - 1469*d*j**3 wrt q?\nAnswer: 1872*d**2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -5*u**2 + 11*u + 4. Let c(z) = -5*z**2 + 10*z + 3. Let x = -7456 - -7461. What is x*k(n) - 6*c(n)?\nAnswer: 5*n**2 - 5*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + (sqrt(119) - sqrt(119)*-1*-3) - (sqrt(119) - -6*sqrt(119)*-4))\/(3*(4*(sqrt(7) + sqrt(35)\/sqrt(5)) + sqrt(84)\/sqrt(3))).\nAnswer: 11*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -10*l. Let d be g(-3). Suppose -6*r - 237 = -3*r + 3*b, 0 = -4*r - 2*b - 318. Let u = r - d. Round u to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, o: 1, n: 5, h: 4}. What is prob of sequence hnh?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 minus -7058.639342111?\nAnswer: 7042.639342111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*u + 115*u + 2*t = 56, 0 = -3*u - 4*t + 160. Sort 1, -5, u in descending order.\nAnswer: u, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -31*q - 4211*z + 4216*z, 4*q + 5*z = -49 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 54\/135 - (-36)\/10. Suppose -f = 3*s - 56 - 43, 0 = -z*f + s + 435. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/42 - 123\/21.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 13*j**2\/2 + 13*j - 1. Let w(n) = 3*n + 120. Let l(z) = -3*z - 111. Let u(m) = 13*l(m) + 12*w(m). Calculate 2*o(v) + 9*u(v).\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*i - o - 32, -5*o - 6 = -i. Suppose -13*j + i*j = 20. Let v be (-3*2 + 3)*j. Calculate the greatest common divisor of v and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.8672 - 102.2048. Let n = 105 + i. Let b = 0.072302 + n. What is b rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104 + -142 + -49 + 72\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 - -31. Determine r so that -4*r**2 - 6*r + 2*r**m - r**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence omo when three letters picked without replacement from yjmrojyrjjro?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 88 - 84. Suppose -3*c - 9 = -n*a + 8, c - 1 = 0. What is the third biggest value in -2, a, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 r when three letters picked without replacement from {o: 7, e: 5, r: 2, t: 3}.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 3*f**2 + 3*f**2 - 5*f + 8. Let p(x) = x**2 - 24*x - 46. Let v be p(26). What is the remainder when 39 is divided by q(v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 182*q**2 - 13*q + 52. Suppose -4*n + 6*n = 14. Is p(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2084 and 3308350?\nAnswer: 1042","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 + 25 = -n - s, 3*n = 3*s + 174. Let q = 155 + -38. Calculate the remainder when q is divided by n.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 168\/294*(-3)\/(-4). Find z, given that 3\/7*z - r*z**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 973.\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (95\/(-76))\/(2\/(-8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, -1, 3, -2, -0.11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 2*b = 4, 0 = -53*y + 50*y + 3*b + 21 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 15*k**2 + k. Let r be s(-1). Suppose r*n - 9*n = 25. Suppose -g - 3*i + 60 = 2*g, -g - 4*i + 11 = 0. Solve 5*q = x + g, -5*q + 0 = n*x - 35 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11\/6 - -7\/3. Sort -1\/2, r, -0.3 in ascending order.\nAnswer: -1\/2, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3611 and 5?\nAnswer: 18055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**12*o**(-9)*o*((o**(-13\/6)\/o*o)\/o)\/o*o**(-23) assuming o is positive.\nAnswer: o**(-139\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x + s - 28387 + 28381, -15*s + 32 = -2*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -31*z + 92. What is g(4)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 40 and -0.643.\nAnswer: 39.357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -100100101110010?\nAnswer: 100100101101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/8)\/(2*(-2)\/8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - 18\/(108\/30)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2. Let o(g) = -g**2 + 8*g - 5. Let l be o(7). Let w be x(l). What are the prime factors of 4*(1 - 7\/w)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29046669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.15 (b) -4\/7 (c) -0.151 (d) 5 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q*q\/((q*q**5*q*q*q)\/q)*q)*q)**(2\/79))**8\/((q**(1\/9)*(q**(-1\/2)*q*q)\/q*q)\/((q**(1\/4)*q)\/q*q*q**6)) assuming q is positive.\nAnswer: q**(20645\/2844)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/21 and -173\/1302.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, i: 1, e: 6, w: 2, d: 3}. What is prob of sequence tett?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49886 is divided by 1858.\nAnswer: 1578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129180?\nAnswer: 2, 3, 5, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.174995 + 0.175. Round y to 7 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**33*s*s**33\/s assuming s is positive.\nAnswer: s**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.383 and 0.044.\nAnswer: -0.339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(75)\/sqrt(3) + sqrt(25))\/sqrt(5))**2.\nAnswer: 20*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 628281 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 4)*(2*s + 596 - 3*s - 2*s**2 - 598).\nAnswer: -6*s**2 - 3*s - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.18 - -0.18. Suppose -334*n + 325*n = -63. What is the closest to 2\/9 in 0, c, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 5752\/711?\nAnswer: 5752\/711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07 and -0.057.\nAnswer: -0.00399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5520 (base 12) to base 14.\nAnswer: -35c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7591870 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 5:29 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**2 + i. Let f(b) = -17*b**3 - 6*b**2 + 96*b. Let h(s) = 4*a(s) - f(s). What is the second derivative of h(n) wrt n?\nAnswer: 102*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1440 a factor of 54727516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lf when two letters picked without replacement from fvhlb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -12 (b) 3 (c) -0.6004\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2 - 21 - 3*m.\nAnswer: -3*m - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13411 is divided by 133?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 + 441. Let f(d) = -d**2 - 219. Determine 5*f(r) + 2*j(r).\nAnswer: -r**2 - 213","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3040, -12177, -27530, -49201, -77292?\n\"Answer: -17*h**3 - 3006*h**2 - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11120415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2010727476 to the nearest integer?\nAnswer: 44841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 6:22 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1442423987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1700*t - 1693*t - 14 = 0. Solve 5*g = -5*r - 5, 4*g - t*r = 3*r + 23 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 43*h = h - 1291 - 763, -193 = 3*c + 4*h for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206469078.\nAnswer: 2, 3, 34411513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 - -56. Suppose -3*u = 9, 5*v - 129 = -3*u + u. Calculate the lowest common multiple of v and g.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 86 - 85. What is the remainder when 188 is divided by 7\/((-21)\/(-198)) - l?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 7. Let x be m\/(3\/(-2)*-2). Let y = x + -3. Put 5, y, 0 in descending order.\nAnswer: 5, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, -18, -1\/189616 in increasing order.\nAnswer: -18, -1\/189616, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116331*r**3\/4 + 58166*r**2 - 116335*r\/4 + 1\/2 = 0. Calculate r.\nAnswer: 2\/116331, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/6)\/(4\/6). Suppose 3*s + b*h = 20, 6*h - 4*h + 4 = 3*s. List the prime factors of 6\/s - 114\/(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3 + 1575*d**2 + 3141*d + 1569.\nAnswer: 3*(d + 1)**2*(d + 523)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*1\/3*672\/224?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 163261 and 41307.\nAnswer: 3428481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*v**2 + 108 - 53 + 57*v**2 - 55.\nAnswer: 76*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ekqq when four letters picked without replacement from qeqk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -17*q**6\/120 - q**5\/20 + q**4\/8 - 5*q**3\/6 + 101*q**2. Let d(f) = -86*f**3 - 16*f**2 + 16*f - 26. What is 3*d(a) - 16*h(a)?\nAnswer: 14*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 247150, 247064, 246988, 246928, 246890?\nAnswer: 246880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9189356503 to five dps.\nAnswer: -0.91894","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20.88 + -20.38. What is the fourth smallest value in 0.33, 2, a, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*((-18)\/28)\/9.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21609 smaller than 21609?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 59 = 5*j + 192, 0 = 3*j + g + 77. Let l be j\/(((-1)\/(-3))\/(-1)). Let c be (l\/9)\/5*3. Sort c, -1\/2, 3 in decreasing order.\nAnswer: c, 3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*x**4 - 6*x**4 + x**3 + 4 - 8 + 2*x**2 + 25 to d + q*x**3 + g*x**4 + y*x**2 + v*x and give d.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2224 - 2?\nAnswer: -2230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -13502600 rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*j = 8 + 12, -4*q + 39 = -3*j. What is the remainder when 23 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/55 and 39\/220?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -811?\nAnswer: 6\/811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1*1\/4)\/((-9)\/36). Suppose 2*w = -0*w. Sort -5, w, c in increasing order.\nAnswer: -5, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 10:23 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 744941 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 + -14. Let k = m + -4. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 19. Let z be (-2)\/(-3) + 7\/3. Which is the second smallest value? (a) n (b) z (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/8 of a decade?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.48079748 and -0.9.\nAnswer: -0.41920252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {l: 2, k: 3, n: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4284*w**2 + 44967 wrt w?\nAnswer: -8568*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**2 - 1 - 4*d + 14*d**3 + 19*d**3 + 2*d**2 - 31*d**3 as c + x*d**2 + o*d**3 + w*d and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x. Let f(w) be the third derivative of 0*w - 1\/12*w**4 + 0 + 0*w**3 - 2*w**2. Calculate f(g(l)).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -140378.\nAnswer: -140378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -11*s**3 + s - 6. What is n(2)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**2 + 2715708*p - 200940488 = 0 for p.\nAnswer: 74, 678853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 10*x + 76. Let m be k(16). Sort -1, m, 12.\nAnswer: m, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 3. What is the third derivative of -6*l**2 + 0*l**5 - 5*l**r + 7*l**2 wrt l?\nAnswer: -300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 25, 37, 49, 61, 73?\n\"Answer: 12*m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6988 + 4.\nAnswer: 4.6988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 3)*(-2 + 2 + 8*n)*(2 - n - 2 + (3*n + 2*n - 3*n)*(-2 + 1 + 0)).\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 665029 - 667674 = 115*d for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f**(-2\/5)*f)\/f))\/(f*f*f\/(f\/(f\/(((f*f**(-2)*f)\/f)\/f))))*(f\/f**7)\/(f**(2\/7)\/f) assuming f is positive.\nAnswer: f**(-311\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 43\/4. Let q be (-5)\/(45\/2) + 136\/288. Put q, 6, b in descending order.\nAnswer: 6, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 8:08 PM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28074*p**3 + 205*p + 45?\nAnswer: 168444*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*(4 - 1)*4\/6. Let w be 32\/f*(-24)\/32. Solve 6 = w*m + 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (21 + -8 - -10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2451755 and 67915.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - 0.1. Let i = 21 - 20. Let v be (i + 2 - 4)*4. What is the smallest value in -0.2, v, l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c84 (base 15) in base 12?\nAnswer: 1774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uwuuuw. Give prob of picking 2 w and 2 u.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5060 times 2?\nAnswer: 10120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b + 36 = 5*b + 2*d, -2*d - 6 = 0. Let u(y) = 9*y**2 + 26*y - 31. Is u(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (33*232\/28710)\/((-16)\/50)*117\/(-15)\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -62806430 or -62806429?\nAnswer: -62806429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*f - 451*f + 17935 = 139*f + 2653 for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 44\/15)*1. Let v(f) be the second derivative of -f + 0*f**2 + u*f**3 + 0 - 1\/30*f**4. Determine x so that v(x) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 - -50. What are the prime factors of r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1125, 2248, 3371, 4494, 5617?\n\"Answer: 1123*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 + -1. Let u be -2*(1 - b\/8). Calculate the highest common factor of u and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 29. Let a = -55 - -105. Let s be ((-20)\/a - (-28)\/10)*k. What is the highest common divisor of s and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -30)*77\/(-308).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight thirds of a week?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1781.\nAnswer: 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 754 + 5?\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*n = -208*n + 10*y + 54, -6*y + 104 = -5*n for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 7*u. Let v be (-1 + 4)*119\/21. Suppose 5 - v = -3*r. Suppose r*k + 4*p = 3*k - 2, -k + 14 = -4*p. What is h(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 15*y**2 - 2*y + 1. Give d(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208061?\nAnswer: 7, 29723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - 69. Let x = i + 140. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k*k*k**(-2\/9)))*k\/k**(-1))**(-40)*(k*k**(-6\/7)*k**(1\/6))\/(k\/k**1*k**(-1\/14)) assuming k is positive.\nAnswer: k**(-9496\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of n**4\/4 - n**3\/3 + n**2\/2 - 2*n. Suppose -2693*x + 2 = -2692*x. Give v(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74977.1 at least 64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*d - u - 3*u, d - 5*u = 22. Let x(o) be the second derivative of o**5\/20 - o**4\/6 + o**3\/2 - o**2\/2 - 20*o + 15. Calculate x(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 114354 = 5*j, 374*v - 370*v - 114342 = -5*j. What are the prime factors of j?\nAnswer: 2, 5, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.0429574t?\nAnswer: 42957.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72036839?\nAnswer: 7, 31, 331967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*f**2 + 0 - f**3 + 124*f**2 + 0.\nAnswer: -f**3 - 14*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*r**4 - 166*r**2 + 98*r**2 + 40*r**4)*(-8*r + 45 - 45).\nAnswer: -24*r**5 + 544*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**3 + 4*s**3 - 5*s**3 + (-5 - s + 5)*(39*s - 33*s + 35*s)*(4 - 4 - s).\nAnswer: 40*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(1\/7)*u*u\/((((u**(2\/3)*u)\/u)\/u)\/u))\/(u**1)**(-28))**45 assuming u is positive.\nAnswer: u**(10230\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 410586628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 32296235833.97 from 12.9.\nAnswer: -32296235821.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4\/32*-2*((-3808)\/(-7140))\/((-2)\/(-18))\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 3*o + 40. Let b be (-304)\/(-20)*(-15)\/(-6). Let x = b + o. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8498 = -410*c + 298 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1 + 2 + 2 - 2 + (4 - 3 + 1)*(4 - 3 - 3))*(14*p - 14*p + 10*p**2).\nAnswer: -30*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 8*r**2 + 8*r - 7. Let d(z) = -z**3 + 11*z**2 + 13*z - 10. Let y be d(12). Suppose 0*g - y*g = 18. Give p(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 - q + 1. Let c be l(-2). Let d be 48\/32 - 19\/(-2). Calculate the highest common divisor of c and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 18*l + 117. Let i be y(23). Let v = 10 + -5. Put 4, i, v in descending order.\nAnswer: v, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 4 + 4 + -10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-64)\/30)\/(226\/(-565)))\/(((-476)\/315)\/(-17)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1459, -1494, -1529, -1564, -1599, -1634?\n\"Answer: -35*v - 1424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5981522191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 41085.88 grams?\nAnswer: 0.04108588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2\/5, -2, 0, 216?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y**4 + 5*y**3 + 2*y**2 - 20*y - 24 = 0. What is y?\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 1096*z - 17 = -1100*z + 2195*z, z = 25 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75752, -75454, -75156?\nAnswer: -74858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**3 - 1313*u**2 + 2629*u - 1315 = 0.\nAnswer: -1315, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.26 - 39.74. Let z = v + 40.6. Let u = 5.6 - z. Which is the second smallest value? (a) 0.14 (b) u (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 763228 + -762736.253. Let p = 492 - h. Round p to 2 decimal places.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-6) + 0 + (-338)\/(-132). Which is the smallest value? (a) 0.5 (b) j (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 611.1645 decades to months.\nAnswer: 73339.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 1 (b) 6 (c) -24 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11539994 minus 0.22368?\nAnswer: -0.10828006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2\/4 + 273*t\/2 + 1647\/4 = 0.\nAnswer: -3, 549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from hdzddahhzzhdddhhzz.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -2. Suppose -2*p + 4 + 2 = 0. Suppose q = 4, -4*q + p*q + 4 = 3*o. Solve -5*g + 3*b + 15 = o, 4*g + b + 4 = -z for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -o. Let b(s) = 0 + s + o*s - 6 + 10*s. Is b(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -108601 - -158960. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, g: 5, a: 1, p: 5, e: 2}. Give prob of sequence qqgp.\nAnswer: 125\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2406816 and 2440?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -55103, -219872, -494489, -878954?\n\"Answer: -54924*o**2 + 3*o - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3810.\nAnswer: 2, 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 11*q**3 - 2. Let p = -148 - -151. Let h(o) = p*o**3 - 4 + 42*o**3 - 1 - 4. Give -2*h(k) + 9*t(k).\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*j + 7*j + 50*j**5 - 58*j**5 wrt j.\nAnswer: -160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-738 - 2032 - 1342 + 2752)*(1 + 7*p - 1) + p + 2*p - p.\nAnswer: -9518*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 2*k**3\/27 - 110*k**2 + 54450*k - 1019. Solve i(h) = 0.\nAnswer: 495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72 - 48. Let k(o) = 3*o**2. Let b be k(2). Let c = 24 + b. What is the greatest common factor of c and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - t - t)*(4*t**3 - 10*t**3 + 15*t**3).\nAnswer: -9*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.7967 - -0.2033. Let o = -0.17 + 0.14. Sort q, o, 0.5, 15 in increasing order.\nAnswer: o, 0.5, q, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 590*w - 577*w - 65 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nl when two letters picked without replacement from {r: 2, t: 4, l: 1, x: 2, n: 4, c: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 658440 and 2194800?\nAnswer: 6584400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/9792 and 67\/31872.\nAnswer: 1625472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 175017, 700974, 1577569, 2804802, 4382673?\n\"Answer: 175319*d**2 - 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**4 + 28*n**3 - 108*n**2 + 116*n - 40 = 0. What is n?\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 78081?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.9 - -0.9. Let l = -16.4 - v. Let y = l - -14. What is the nearest to 0 in -4, -2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21147 <= 17779?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105\/(-315)*(-109 + -2 + -6)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -5*p - 4 - 2, 2*w - p - 21 = 0. Let j = 11 - w. Solve 2*r + 0*u - j = 2*u, r - 9 = -3*u for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 12*n**3 + 8*n + 1. What are the prime factors of j(3)?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -0*q - 2*q + 14, q = 3*i + 17. Suppose -3*c - 30 = -q*c. Solve -4*r - c = -3*j, 3*j = 3*r + 6*j + 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 7*r + 1. Let j be q(6). Suppose 5*d = k - 12 - j, 3*d - 3*k = -9. Let b = 12 + d. Calculate the remainder when 14 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -5*o - 16. Suppose -29 - 31 = 3*m. Calculate the common denominator of (-100)\/o*42\/m and -7\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 4. Let p be f(-6). Suppose -111*y + 6723 = 51*y + 87*y. Calculate the remainder when (39\/6)\/(p\/(-16)) is divided by y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011 - 10001010001110110?\nAnswer: -10001010001001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.078165l in millilitres?\nAnswer: 6078.165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (1 - -6) + (1201 - 1131)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 7*c**4 - 5*c**2 - 16. Let r(f) = 6*f**4 - 4*f**2 - 17. Let p = 11 - 6. Let z = 574 + -578. Let q(i) = p*r(i) + z*u(i). Differentiate q(b) wrt b.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.39 + -0.21. Suppose -6442*x - 2 = -6440*x. Sort -1\/9, x, r in ascending order.\nAnswer: r, x, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3603, 3603, 3609, 3621, 3639?\n\"Answer: 3*d**2 - 9*d + 3609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 5702299\nAnswer: -2\/5702299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04 and 12911?\nAnswer: 516.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 5*o - 32. Let q(d) = 5*d - 27. Let h(i) = 5*m(i) - 6*q(i). Let u(j) = 8*j**2 - 7*j + 3. What is -7*h(a) + 5*u(a)?\nAnswer: 5*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -32*r + 2. Let y(j) = -3272*j - 124. What is y(g(h))?\nAnswer: 104704*h - 6668","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1383553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 307, -2, 273 in increasing order.\nAnswer: -2, 273, 307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 666 (base 9) to base 4\nAnswer: 20202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 9, -1, 0, 2440, -4, -27.\nAnswer: -27, -4, -1, 0, 2, 9, 2440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2772 * -6.615.\nAnswer: 1.833678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -12. Let d be -2 + 6 - (1 + -1). Suppose d*o + o = 10. Solve j - t = -o for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 10925\nAnswer: 10925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 863776980 a multiple of 660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/17? (a) -0.08 (b) -1 (c) -2\/7 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1435 + 1456. What is the third biggest value in p, 4, -1.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 14) in base 10?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7835?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1022921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.73 and 0.08.\nAnswer: 0.0584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 1\/11 (b) 3 (c) 2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 5*w**2 - w + 2. Let m be n(5). Let d = -3.2 - -2.2. What is the closest to d in 2\/13, m, 2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d + 1. Let y be k(1). Let h(v) = -v**3 + 2*v**2 + 3*v + 1. Let f(b) = 3*b**3 - 7*b**2 - 9*b - 2. Let u(i) = -2*f(i) - 7*h(i). Is u(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 4255950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29949044527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fm when two letters picked without replacement from fmlmmmlf?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than or equal to 0.1199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*g**3 + 160*g**3 - 311*g**3.\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 5:17 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, m: 4}. What is prob of picking 2 l and 1 m?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 70\/49 + (-1 - 0). Let w = 0.2 + -0.1. Let s be (5\/8 - 2) + 1. Which is the nearest to w? (a) -2 (b) s (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -147 (base 10) in base 16?\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*j - 33, 23 - 4 = 3*j - u. Let a be 2\/(-8) - (-2)\/8. Solve 3*y + 7 + j = a for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 313453?\nAnswer: 7, 6397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46925 is divided by 1471.\nAnswer: 1324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -6. Let o(n) = 7*n**3 - 14*n**2 + 10*n + 2. Let c(q) = 4*q**3 - 7*q**2 + 5*q. Let t(j) = -5*c(j) + 3*o(j). Is t(s) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -252 + 3055\/12. Calculate the common denominator of -75\/16 and r.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24249151 to the power of 1\/3, to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30864638.\nAnswer: 2, 7, 761, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 - 9*g + 8. What is k(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 378581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 - -6b7?\nAnswer: 6c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 433331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3476 and 4083684?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/11)\/(h*h\/h**(-15\/7))*h\/(h**(2\/3)\/h)*h*h*h**11 assuming h is positive.\nAnswer: h**(2312\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 86 + -83. Factor 0 + 3\/7*n**p - 3\/7*n + 0*n**2.\nAnswer: 3*n*(n - 1)*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 246172712.6399 + 0.1.\nAnswer: 246172712.7399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, v: 8}. Give prob of picking 4 n.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -14. Let f = -6 + 17. Is f greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -11. Let x = 14 + q. List the prime factors of x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -29\/56*f**4 + 0*f - 4*f**2 + 1\/28*f**5 - 7 - 3\/7*f**3. Determine p so that j(p) = 0.\nAnswer: -1\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -5*y - 7. Let r = -9 - y. Calculate the remainder when 6 is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.8 and 93423.\nAnswer: 74738.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4248*n**4*p**3 + 212*n**2*p**3 - 3*n**2 wrt n?\nAnswer: -101952*n*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4128 and 19794792.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 7 - (-68 + 38 + (-1 - -8)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 - ((-1984)\/42)\/(-8). Sort 2\/9, a, -2\/3.\nAnswer: -2\/3, a, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -558*r + 561*r = 6. Determine s so that 16\/3*s - 4\/3*s**r - 16\/3 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*p = -92, 85 + 6 = 3*f - p. What is the highest common factor of 10 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1514.2 to the nearest 10.\nAnswer: -1510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.02 and 11.3.\nAnswer: 11.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbqczcczbcgg. What is prob of sequence bz?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*j + 43*j - 2215 = -5*d, 0 = -5*j + 2*d + 2215. Calculate the remainder when j is divided by 59.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.23356 - 149.27376. Let w = 238 + -92. Let b = l + w. Round b to 3 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -50, -0.4, 5.6, -1\/2, -4?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 1)\/(-8)*20. Suppose 125 = 4*j - 3*j - 2*h, -2*j = -z*h - 254. Does 13 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 - 316064*j - 6243528256.\nAnswer: -4*(j + 39508)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -3*q**2 - q + 1 + 1\/3*q**3. Let y be z(8). Calculate the greatest common divisor of y and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((15\/30)\/((-2)\/2))\/((-12)\/(-9))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33761141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i + 1. Let l(h) = 8*h - 6. Let s be (-1 - (-16)\/(-3)) + 10\/30. Calculate s*x(j) - l(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 659465 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 110 + -41. Let b = o - 56. What is the greatest common divisor of b and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dt when two letters picked without replacement from dtdtttttttdtttt?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/7 or 1739\/74484?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 540955130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrrrrr. Give prob of sequence rrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 716061271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2021 - -4346. Let u = q - 86020\/37. Is -1 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56269127.\nAnswer: 19, 2961533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -110, -208, -346, -530, -766, -1060, -1418?\n\"Answer: -h**3 - 14*h**2 - 49*h - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1055543 + -2415?\nAnswer: 1053125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in six fifths of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -c + 21. What is the derivative of 21*t**2 - 15*t**2 - 9*t**c - 5 wrt t?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 (base 8) in base 10?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 8*p**3 + 3*p**2 - 6*p - 3. Let o(l) = -l**3 - l**2 + l + 1. Give -i(c) - 3*o(c).\nAnswer: -5*c**3 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 9*f + 5. Give o(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in -0.46, -5, 0.72?\nAnswer: 0.72","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 1\/4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.016 + -111.\nAnswer: -111.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 19*u**2 - 5. Let s(y) = -3*y - 5. Let t(a) = 3*a**2 - 5*a - 9. Let o(n) = -5*s(n) + 3*t(n). Calculate -5*o(v) + 2*q(v).\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270086 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*o + 6*o + 4*o - 42 + 6.\nAnswer: -31*o - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**12*m*(m\/(((m*m*m**(-15))\/m*m)\/m)*m)\/m*m*m*m*m**3\/(m**(-2\/63)*m) assuming m is positive.\nAnswer: m**(2081\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2065304 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 243.5 - 243.5197. Which is smaller: -3\/4 or c?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1735655000?\nAnswer: 2, 5, 347131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5319*d + 5328*d = -126 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2251 and 10719262.\nAnswer: 2251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/105630 and 169\/90?\nAnswer: 316890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ca9c54 (base 13) to base 12\nAnswer: 1718444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 26*u**2 - 3*u + 7. Calculate the smallest common multiple of p(3) and 14.\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -280*q + 2. Suppose 7*k + 5 = 2*k. Let b be i(k). What is b rounded to the nearest ten?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2 (b) -0.01 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from insivivdqss. What is prob of sequence innd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-88)*-7 + (-12)\/(-66).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - 1 - (-170 + 167 - (-2 + 1) - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -48, -3 in decreasing order.\nAnswer: 12, -3, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -111*d - 1169. Give s(-12).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -7. Let x(y) = y**2 + y - 4. Let w be x(m). Let i be -71*1 + (w - 1). Round i to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + 5*((sqrt(75) - (5 + sqrt(75))*4) + 2) + -5 + 3)**2.\nAnswer: 14100*sqrt(3) + 25711","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 30*g = 5*m + 31*g + 68, g = 5*m - 59 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j**3 + 26*j**2 + 6*j + 27. Let s be c(9). Let q = 96 + -60. Solve 1 = 3*v + 4*a, s*v = -4*v + 4*a - q for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1326 + -3.8674. Let f = 0 + -1. Sort k, f, -2\/7 in decreasing order.\nAnswer: -2\/7, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 854.0487ug?\nAnswer: 854048.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 8 (b) 1 (c) 1\/17 (d) 0.1 (e) -9\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 106713560?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 3*b**2 + 7)*(33526*b - 23 - 33585*b + 5).\nAnswer: 177*b**3 + 54*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -10 and 42204.43.\nAnswer: 42194.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4996 - 4081 = 180*o + 133*o for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-44)\/(-30))\/(-22))\/((-1)\/(-3)*1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -325 - -267. Let v = 113 - 172. Is v greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1906271 + 1037146. Let g = a + 869083.00000575. Let z = g + 42. Round z to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2922 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 560.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 769755?\nAnswer: 3, 5, 7, 7331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 715 and 5902.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0 + 0 + (8 - 7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61843878 is divided by 113.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -362 + 214. Let a = -147.9768 - d. What is a rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m + 3. Is y(-7) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2722874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 14*c - 25. Let n be y(7). Let v = n - -288. What is the lowest common multiple of 94 and v?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -119010*h*y**2 + 12*h*y - 262*h - 2*y - 1 wrt y?\nAnswer: -238020*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -17*u**6\/6 - 2*u**3\/3 - 85*u**2\/2 + 87. What is the second derivative of q(t) wrt t?\nAnswer: -340*t**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 933*d**3 + 2*d**2 - d. Does 76 divide i(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1074 >= 274992?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 630131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/27 - (-199)\/(-3). Let c = 114 + u. Let a(v) = 15*v - 1 - c*v + 15*v + 13*v + v**2. Determine a(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-579 - -634) + 3 + 22?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, h: 11}. Give prob of sequence hhe.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -435, -426, -383, -294, -147?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 536 and 162408.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44263?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74981 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20072065, 20072051, 20072037, 20072023, 20072009, 20071995?\nAnswer: 20071981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -3 (b) 20 (c) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 5, 1, -4 in decreasing order.\nAnswer: 22, 5, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 32*v + 17. Give h(-31).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 929334221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1152 and 25632.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 96598899 to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = d - 189. Let v be 1\/((-6)\/d)*-10. Let y = 18 - -3. Calculate the greatest common divisor of v and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43cc8 (base 14) in base 16?\nAnswer: 28248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -1261637.\nAnswer: 3\/1261637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6028915844 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1536875 centimeters to meters.\nAnswer: 0.001536875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11)\/(-2) + 2\/(-4). Let r = 3100 + -3102. Put 3, r, q in decreasing order.\nAnswer: q, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l - 3*l + 4*l)*(3546 + 3553 + 9190) to i + p*l and give p.\nAnswer: 16289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 - 0.2. Let i = -1.0307 - -0.0307. What is the nearest to d in 2\/21, i, 1\/2?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-155*g + 130*g + 130*g)*(169*g - 68*g - 37*g) in the form q + c*g + b*g**2 and give b.\nAnswer: 6720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**5\/9 + 10*j**4 - 110*j**3\/9 - 90*j**2 + 92*j = 0?\nAnswer: -46, -3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mzmzzmmzmbbzm. What is prob of picking 2 b?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 - 62 + 12 + w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2286 = 892*a - 765*a for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3644773, -3644769, -3644771, -3644779?\n\"Answer: -3*p**2 + 13*p - 3644783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -53*o - 71. What is the remainder when b(-4) is divided by 75?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*j + 9486 = 9094 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t - 3*m + 1082 - 1010, 196 = -4*t + t + 34*m for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of 0*i**5 + 23\/60*i**6 + 1\/4*i**4 + 0 + 1\/6*i**3 + 2*i + 5*i**2. Find the second derivative of s(a) wrt a.\nAnswer: 276*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1442.5586528 rounded to the nearest ten?\nAnswer: -1440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 32091215 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 43573 + 14422?\nAnswer: 60215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -134*u + 445. Suppose -r + 136 = -2*y, 2*r + 3*y = -72 + 316. What is the remainder when r is divided by c(3)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 143 + -93. Suppose -3*d - 14 + g = 0. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.15 - -0.1. Let t = -0.07 + 0.02. Let a = t + x. Which is smaller: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 3*z + 3, -c - 4*c - 12 = -z. Let w be (c\/9)\/(8\/(-6)). Let t = -9.5 - -9. What is the second smallest value in 2\/7, t, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of 1\/30*x**6 - 1\/12*x**4 + 1\/20*x**5 - 1\/42*x**7 + 0*x**3 + 0 + 2*x + 0*x**2. Factor r(v).\nAnswer: -v**2*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/6771 in -5, 0.5, 12, -39\/7, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29 + 811 - b + 2941 - 46)*(-b - b**2 + b) to the form i*b**3 + a*b + c*b**2 + n and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2926.53 rounded to the nearest 100?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1392105 and 5568420?\nAnswer: 5568420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 14 = -4*j, -8*x + 6 = -5*x. Let k(z) = -z**3 + 5*z**2 - 4*z. Let l be (-34)\/(-8) + (-2)\/8. Let u be k(l). Solve -2*h - 6 - j = u for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 401 - 177. Suppose 3*x + 2*s - u = 6*s, 2*x = -3*s + 121. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25934012 to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5773 divided by 21995.\nAnswer: 5773\/21995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -329547 - 3\nAnswer: -329550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 2*t**2 - 4. Let m be z(3). Let h(o) be the first derivative of o**2\/2 - 9*o + 9. Give h(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 131*c + 4164. What is k(-58)?\nAnswer: -3434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -67a - -432?\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/12)\/((-2)\/(-3540)). Suppose 2*a + 2*d - m = 1571, d + 2468 = 2*a. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4084 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 10:02 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 11*q**2 + 1. Suppose 4*t - 4*l - 31 = 37, 51 = 3*t + 4*l. Suppose t = 18*c - c. Give h(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -34694.13 to the nearest 100.\nAnswer: -34700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d = -9*d - 4*t - 13170, 0 = 3*t. What are the prime factors of d?\nAnswer: 2, 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -11*d. Suppose 2 = -3*z - 1. List the prime factors of l(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 270 = 6*m. Suppose -m*z + 1 = -53*z. Calculate the smallest common multiple of 86 and z.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 1. Let j(s) = -4*s + 4. Determine j(d) - 2*o(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210 + -10021011220012?\nAnswer: -10021011220222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 1116421?\nAnswer: 1116423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41*i**5 - 16*i**4 - 6*i**2 - 5605*i - 1 wrt i?\nAnswer: -820*i**3 - 192*i**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11210?\nAnswer: 2, 5, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p**2 + 8*p + 96. Calculate t(-13).\nAnswer: -515","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by 53\nAnswer: 18\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 747 = -787. Let n be 63\/35*b\/24. Which is smaller: -0.25 or n?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -19*g. Let z(o) = 2*o**2 - 125. Calculate i(z(p)).\nAnswer: -38*p**2 + 2375","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*m**2 + 24*m - 12.\nAnswer: 3*(m + 2)*(5*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 5*k**5 - 80*k**4 + 210*k**3 + 1960*k**2 - 8575*k = 0.\nAnswer: -5, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -20\/57533?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*w - 13743318 = -13751206 for w.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12584*u + 25218*u - 12632*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -437 or -438?\nAnswer: -437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 166579 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 20.81. Let d = -0.2 + g. Let i = d + 4.01. Sort i, 5\/2, -2 in decreasing order.\nAnswer: i, 5\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00325873 rounded to four decimal places?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3152 divided by 788\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3366\/(-748)*(-3)\/(-9)*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**3 + 2*z**2 + z**2 - z + 1 - 2*z + 8*z**3. Is k(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2394691?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 3*q - 2. Let n(i) = i**2 + 13*i + 3. Let x be n(-13). What is the tens digit of l(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1995a (base 11) to base 10.\nAnswer: 27774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cxc when three letters picked without replacement from xcicxxxxxicii?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*s - 808, t + 3*s = -144 + 418. Is 67 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -353\/853 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 8*g + 10. Let w be t(7). Suppose -5*p = -7*p. Suppose -3*f - w*l + 0 + 9 = p, 3*f + 4*l = 11. Let j(k) = 4*k**3 + k**2. Determine j(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0408748951 rounded to 3 decimal places?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -51*y - 1071. Let l be c(-21). Suppose 5 = z + 4*j, z - 6 + 1 = 4*j. Suppose o - z*o = l. Solve -2*t = -4*t + 5*m - 12, t + 2*m - 12 = o for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2. Let z(a) = -402*a**2 + 17*a + 11. Determine z(b(k)).\nAnswer: -402*k**4 + 17*k**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 54874, 109599, 164154, 218545, 272778, 326859, 380794, 434589?\n\"Answer: m**3 - 91*m**2 + 54991*m - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2712168 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*t - 236800 = 74*t. Let g = -1574666\/133 + t. What is the common denominator of -71\/171 and g?\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2424 - 1?\nAnswer: -2425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-962*j - 949*j + 1562*j)*((1 + 1 - 1)*(0 + 4 - 3) + 12 - 23 - 16) in the form q + n*j and give n.\nAnswer: 9074","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1 + sqrt(3) + (1*sqrt(3)*4 - sqrt(3)) + 0 + (-2 + (sqrt(3) - (sqrt(3) - sqrt(147) - sqrt(3))) - 5*sqrt(12)\/sqrt(4)).\nAnswer: 4 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 99182003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.339 and -145.\nAnswer: -49.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43 - -51. Let h(l) = l**3 - 5*l**2 + 4*l + 4. Let k be h(6). Calculate the greatest common divisor of k and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - 2*m**2)*(2*m + 4 - 6*m + 6*m) + (3*m - 5*m + m)*(2 - 2 + 2*m**2) as u*m + g + w*m**2 + o*m**3 and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(24\/(-408)*-17)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42 - 113) + 54 + 56.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -3\/10 (b) 0.16 (c) -3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwzw when four letters picked without replacement from {o: 3, p: 2, z: 4, w: 6}.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 5, 15 in increasing order.\nAnswer: -1, 1, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 24. Let m be 4 + 1 - 8\/d. What is the remainder when 38 is divided by 6\/m*(-40)\/(-24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p. Let s(w) = -3*w + 11. Let l(y) = 1333*y**2 + 651*y - 2387. Let i(h) = 2*l(h) + 434*s(h). Calculate k(i(x)).\nAnswer: 2666*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1300 - -1295. Let z be (-3261)\/4554 - 2\/(-3). Let i = -3\/22 - z. What is the biggest value in i, -1\/12, q, -3?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0*1\/(-2))\/1. Suppose 4*v + d = -a*d + 2971, -3*d + 3712 = 5*v. Suppose -2*w - 144 = -q - 7*w, -2*w = 5*q - v. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*k = -3*i - 3, 3*k + 12 = -i. Let m(b) = -b**3 + 21*b**2 + 23*b - 20. Let h be m(22). Solve 5*c - 4*g - 11 - 4 = 0, -c + h*g = -i for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.8 + -1.3. Let k = -0.2 - 0.1. What is the closest to -1 in -2\/3, c, k?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 + -55. Let u = 6 - f. What is the smallest common multiple of 24 and 5 + 3\/(-2 + 5) + u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 129754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5\/144 - 683\/1008. Let r = 7749\/55 + -1486\/11. Calculate the common denominator of r and t.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -93\/224 or 1?\nAnswer: -93\/224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 3 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7278 is divided by 1378.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/19? (a) 0 (b) 3\/8 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((g**(-5\/6)\/g)\/g)\/g)\/(g*g*g**(-1)\/g))**(-25))**(-17\/5) assuming g is positive.\nAnswer: g**(-1955\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -1 + 13*o + 4 + o + o**2 + 10. Let h be i(-13). Let k be 1*h\/(-1) - -5. Solve 2*q + k = b, 0 = q - 2*b - 3 + 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -3, 30, 101, 222?\nAnswer: 405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2313 - -2518. List the prime factors of t.\nAnswer: 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0393 times 0.081102?\nAnswer: -0.0031873086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -120.4087, -1\/2, -2, -6 in decreasing order.\nAnswer: -1\/2, -2, -6, -120.4087","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -225121 - -10?\nAnswer: -225111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 - -29. Is j <= 5\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*t**3 + 33*t**3 + 46*t**3)*(339 - 282 - 213).\nAnswer: -15756*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 87 - 41 - 191 = 0. Calculate the highest common factor of 230 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -3. Let p = d - -3.12. Round p to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 29394?\nAnswer: 205758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*l - 8 - 1 = 0, -x - 15 = 5*l. Suppose 5*z = -2*c - 6, 0 = -5*z - 0*z - 5*c. Let i(k) = k**3 - 10*k**2 + 11*k - 16. Let w be i(9). Sort w, z, x.\nAnswer: z, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 167, 252, 337?\nAnswer: 422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536 is divided by 34.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/4 of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + -4)*69\/(-92). Solve -m*c + 0*c = 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, g: 3, x: 1}. Give prob of sequence eggg.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 12 = -3*b, 4*k - 15 = -b - 19 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 8*c**2 - 8*c - 9. Let g be y(7). What is the common denominator of (-8)\/18 + 2\/4 and (-2)\/(-5) - g\/(-120)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/60)\/((-26)\/13).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 divided by 110250?\nAnswer: -19\/36750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8866331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 3:50 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1584\/37 - 50635\/296. Let h = -214 - r. Which is the second smallest value? (a) h (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48282?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 26 = -3*g, -3*g - 2 - 19 = -3*i. Suppose o - 3*o + 40 = -2*w, 64 = 3*o - i*w. What is the smallest common multiple of 18 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -10*i**2 + 22*i - 2. Give p(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27227.32 years in millennia?\nAnswer: 27.22732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 241\/(-9) + 8\/(-36). Let h = w + 24. What is the remainder when 147 is divided by (h - (-4 + -1)) + 7*4?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z + 696 - 672 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1699204, -3398389, -5097574, -6796759, -8495944, -10195129?\nAnswer: -11894314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, c: 1, z: 1, a: 1, r: 1, e: 1}. What is prob of sequence rrra?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3980 is divided by 229.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6345424 and 989.\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1203259 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8532.27 - 8533. Which is the closest to -0.2? (a) -2\/7 (b) -2\/9 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -e (base 16) to base 12\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 373106 (base 10) in base 3?\nAnswer: 200221210202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tsoootootootso. Give prob of picking 2 s and 2 o.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - (55 - (-3 - -1)). Let g = l + 42. Which is smaller: -20 or g?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 21271740 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6, 7, 8?\n\"Answer: i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**3*l**2 + 601*j**3*l + 5*j**2*l**2 + j**2 + 3 wrt j?\nAnswer: 6*l**2 + 3606*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 360.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) 9 (c) 2 (d) -1 (e) -1\/695\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, 2, -3, -33\/4, -1.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + z, -4*c - z = c + 18. What is the tens digit of 364\/6 + 2\/c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -2385.122.\nAnswer: 2383.122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*m - 4, -4*m + 18 = -2. What is the smallest common multiple of 23 and c?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*s - 5 - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, b: 9, i: 2, d: 1, f: 3}. What is prob of sequence dbf?\nAnswer: 3\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.5, 2\/7, 3, -4, -3 in increasing order.\nAnswer: -4, -3, -2.5, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mtttlmrvvvli. Give prob of sequence mrm.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**3 + 49*y**2 + 22*y + 74. Determine t(25).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.06 - -0.06. Let u = p - -3. Is u < -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 16*c**2 - 18*c - 27. Determine l(17).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 6*a - 36 = 0. Suppose a*u = 5*u + 1652. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 10*q**2 + 10*q + 16. Let c = -5 - -16. Let m be h(c). Suppose -178 = -m*k + 17. Calculate the greatest common factor of k and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p**2 + 3 - 3)*(-25859*p - 33*p**3 + 25859*p) - p**5 + 4*p**3 - 4*p**3.\nAnswer: -166*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 1591*f**5\/20 - f**4\/6 + 193*f**2\/2 + 1361*f. Find the third derivative of h(m) wrt m.\nAnswer: 9546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = x - 17. Let u = 385 - 218. Let n = x + u. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**3)**10*(z**3*z)**(-12\/17) assuming z is positive.\nAnswer: z**(462\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (3 - (-97)\/(-10)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -n**7\/70 + n**6\/45 + 17*n**3\/3 + 8. Let h(a) be the third derivative of f(a). What is the third derivative of h(o) wrt o?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15 - -260?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -6, -68, -1, -14, -3 in ascending order.\nAnswer: -68, -14, -6, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (25 - -1955)*(1 + (-334)\/(-6)). What is k rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 90 (b) -0.1418 (c) 6\/11 (d) 2\/3 (e) -1\/3 (f) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -3*v**5\/100 - 7*v**4\/20 - 3*v**3\/2 - 27*v**2\/10 + 2*v - 114. What is d in r(d) = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -16.91. Let r = 429 + -429.0918. Let g = r - d. Round g to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 53*s + 4 + 2*s**2 + 60*s. Let w be k(-4). Let x = 74 - 50. What is the greatest common divisor of x and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112430743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -986*u + 975*u. Let w = -17 - -25. What is the second biggest value in u, -0.2, w, 2\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1403, -5004, -11005, -19406, -30207, -43408?\nAnswer: -59009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -h**6\/10 - 18*h**5\/5 - 83*h**4\/2 - 132*h**3 - 363*h**2\/2 - 4*h + 8. Determine c, given that p(c) = 0.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 - 48*w + 48*w.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286*u + 112074 = 94914 for u.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 9*a. What is the least common multiple of n(3) and -1 + 11 + (-280 - -303)?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 120420 + -1?\nAnswer: 120414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n - 4. Let v be y(4). Suppose i - 13 = -2*g, 2*g - 4 = v*i - 16. Is g a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -3*x**6\/7 + 12*x**5\/7 - 2*x**4 + 16*x**3\/21 - 4. Factor y(g).\nAnswer: -2*g**2*(g - 2)*(3*g - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.03 or -4801654?\nAnswer: -4801654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nzy when three letters picked without replacement from yyzyymznmm?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1057 or 3172\/3?\nAnswer: 1057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31741618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126624919.9 + -13.\nAnswer: -126624932.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(12) - (sqrt(1452)*1 - sqrt(1452))) + 3*(sqrt(12) - sqrt(108)))\/(-4*(sqrt(120)\/sqrt(6))\/sqrt(5)))**2 + -3.\nAnswer: 27\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10314223 (base 5) to base 3\nAnswer: -11111122202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 7*u + 18. Let a be 24\/8*2\/u. Let h(x) = -x**3 - 3*x**2 - 3*x - 3. Calculate h(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(40\/(-6))*64\/(-264).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 10*y + 13. Let g(r) = 29*r + 38. Let o(h) = 6*g(h) - 17*x(h). Let t(d) = -2*d - 4. Let f(a) = 4*o(a) + 7*t(a). Let u(q) = 2*q. Give u(f(s)).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 4*f - 19 - 30, 170 = 4*x - 3*f. Suppose 0 = -5*u - x + 2316. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**6\/120 - 2*v**5\/15 - v**4\/2 + 7*v**3\/6 - 18*v**2. Let r be g(7). Let z = -33 - r. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**1)\/i)**(-43)*(i**0*i)**(-1\/25) assuming i is positive.\nAnswer: i**(1074\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 299, 351, 487, 749, 1179, 1819, 2711, 3897?\n\"Answer: 7*p**3 + 3*p + 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 189*h + 1486. Calculate the remainder when 534 is divided by k(-7).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 496 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 3 + 3)*((-5*u + 2*u + 2*u)*(22 + 20 + 42) + (0 + 0 + 2*u)*(-2 - 1 + 2) - 1 - u + 1).\nAnswer: -87*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-1) - 58\/12. Let q = -0.1222 - 0.0778. Suppose 4*i + 2*f - f - 24 = 0, f - 4 = 0. What is the closest to q in i, k, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78 divided by -26\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*b*h**3*n**2 + 10*b*h**2*n**2 - 2*b*h**2*n + 147*h**3*n**2 - 5*h**2*n - h**2 - 2*n**2 wrt h.\nAnswer: -114*b*n**2 + 882*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-10) - 32\/(-5). Let o = 27 - m. Calculate the greatest common factor of o and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 93420.99999897066 + -93421. What is f rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 12*v + 5*h = -54869, 2*v - 15672 = -h. List the prime factors of v.\nAnswer: 17, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from seeptpetpkps. What is prob of sequence ke?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -g**3\/3 + g + 25. Suppose 21*d - 64 = -1. Determine w(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532963 (base 12) in base 4?\nAnswer: 11000013123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w - 36. Let l(z) = -12*z + 90. Let n(x) = 2*l(x) + 5*s(x). Let y(i) be the second derivative of -5*i**3\/3 + 2*i**2 + 2*i. What is n(y(u))?\nAnswer: -10*u + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/1945 and -39\/3890.\nAnswer: 3890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -3*n**5\/10 + 5*n**2\/2 - 5*n. Find the first derivative of v(d) wrt d.\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 8, -4, 11 in ascending order.\nAnswer: -4, -3, 8, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-4))\/(78\/(-8)). Let q = 126 - 755\/6. Let t = 192 + -192.2. Which is the smallest value? (a) 0.1 (b) r (c) q (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0931 at most as big as -543.63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 35840104*i*y - 29491272*y wrt i?\nAnswer: 35840104*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 r, and 1 p when three letters picked without replacement from {n: 4, r: 1, h: 3, p: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -153, -305, -455, -603, -749, -893, -1035?\n\"Answer: i**2 - 155*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (636\/(-159))\/(4\/3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 94*g**3 - 4*g**2 + g + 3. Let y(t) = -187*t**3 + 7*t**2 - 2*t - 5. Let a(z) = -5*x(z) - 3*y(z). Is a(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.02 - -1.98. Let q = -0.01 - 2.49. Let d = q - -3. Sort 4\/7, d, p in descending order.\nAnswer: p, 4\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-2 - -3) + -11.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 9*v - 2. Let n be w(-9). Let p be 0 - (n - -1) - -11. What is the highest common divisor of 30 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3860843764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 4\/(-6)) + (-554)\/277.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88\/7 >= 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -t + 1. Let x = t + 118. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 95*j**2*v + 4055*j**2 + 6*j*v**2 + 2*v**2 wrt v.\nAnswer: 95*j**2 + 12*j*v + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -2 - (8 + -16 + (2 - -3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, x: 5, r: 4}. Give prob of sequence xlr.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-18) + (-50962)\/(-2763) - -30?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 377 + -11309\/30. Let k(n) be the third derivative of 1\/35*n**7 + 3*n**2 + 0 + 1\/6*n**4 - w*n**6 + 0*n + 0*n**3 - 1\/10*n**5. Suppose k(f) = 0. What is f?\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (48*x + 38*x - 13*x)*(1 + 3*x**2 - 5*x**2 - 13*x**2)*(-2*x - 9*x - x) as g + b*x**4 + j*x**2 + y*x**3 + z*x and give b.\nAnswer: 13140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -30. Calculate the remainder when 60 is divided by u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 3:42 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 5*d**2 + 4*d - 6. Let k(q) = q. Let r be k(-6). Let u be i(r). Suppose s + 2*s - u = -2*c, -c = 4*s - 8. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -548, -1099, -1648, -2195, -2740?\nAnswer: -3283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 27868 = i, 5*d - 3*i = 2*d + 27876. Suppose 24*c = 15*c + d. Is c a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i*i**3))\/i)\/i)\/i*i)**(-46) assuming i is positive.\nAnswer: i**230","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 87 + 1115*f - 556*f - 551*f. Let o be m(-10). Calculate the highest common factor of 294 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 14. Suppose y = -5*z + 24. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 668 a factor of 139418807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/1058 and 107\/13891540.\nAnswer: 13891540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 4*s - 30 = 0, -11*x + 14*x + 37 = 4*s for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 at least -159.5724?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 233 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 16, 172, 622, 1516, 3004?\n\"Answer: 25*y**3 - 3*y**2 - 10*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*j**2 + 19 - 1868*j**3 + 112 - 2*j + 1867*j**3 + 26*j**2 to the form i*j**2 + n + u*j**3 + s*j and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 136802319 to the power of 1\/2, to the nearest integer?\nAnswer: 11696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 1146*a**2. Let h(c) = -2*c**2 - 12*c. Let f(u) = -2*u**2 - 16*u. Let t(o) = -3*f(o) + 4*h(o). Give d(t(y)).\nAnswer: 4584*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 5.75. Let t = r + -0.14. What is t rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*i + 16*i + 2*l + 48, -60 = -6*i - l + 12 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1951, -3901, -5839, -7759, -9655, -11521?\nAnswer: -13351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*q + 5508 = 52*q. What are the prime factors of 12\/48 + (q\/(-8))\/1?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 502445*l**2\/2 - 6340*l + 40 = 0.\nAnswer: 4\/317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + (-2290)\/150 + -5.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -22*j + 17*j. Put -5, 10, j, -3 in increasing order.\nAnswer: -5, -3, j, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i + 7*i + 2*i.\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 3, 4, -3, 40, 5 in decreasing order.\nAnswer: 40, 34, 5, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - u = 0, 3*z - 17 + 11 = -u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/3)\/((608\/48)\/38)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -240*s + 134*s - 693*s - 643*s - 365*s as l*s + k and give l.\nAnswer: -1807","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -9) + (-5 - 1)\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + ((-4)\/2 - -1). Let b(o) = -o. Let z be b(-2). Let m be 6*1\/(-1 - 1). Put m, z, c in ascending order.\nAnswer: m, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 102782932\nAnswer: -102782931.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n**2. Let s be -3 - 3*(0 - 1). Let u(i) be the second derivative of s*i**3 + 0 + 2*i + 0*i**2 - 1\/12*i**4. Calculate g(u(p)).\nAnswer: -3*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 350 - 350.0823. What is o rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 15*b**2 + 23*b + 3. Is j(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -a**5\/60 - a**3\/3 - 12*a**2. Determine h(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 6*w - 16. Suppose -20 = -10*u + 110. What is the units digit of p(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-153) - 2144328\/(-19176)\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28\/33 - -2\/11. Let a = 15 - 15. What is the nearest to -2\/5 in a, -0.4, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**2 + 8*k - 6. Let v(g) = 2*g**2 + 5*g - 4. Give 5*f(l) - 8*v(l).\nAnswer: -l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 31*j - 189. Calculate the remainder when 251 is divided by y(-19).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**18*i*i**(3\/22)\/i)**(-15) assuming i is positive.\nAnswer: i**(-5985\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -955063017*o**4 - 1404488337?\nAnswer: -3820252068*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*((-82)\/(-24) - 3). Let a = j - 2\/3. What is the nearest to 1 in -1\/6, 1\/4, a?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, n: 7, b: 6}. Give prob of picking 2 n.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 599519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -a**5\/70 + 11*a**4\/21 + 73*a**3\/21 + 50*a**2\/7 - a + 4. Let c(p) = 0. Calculate p.\nAnswer: -2, -1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47093.5 + -47089. What is the closest to 0 in -5, h, 1, 10\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o + 19. Let l(w) = 3*w + 2. Give 2*l(t) - z(t).\nAnswer: 9*t - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2815*r**2 - 6436*r. Let i(b) = -2823*b**2 - 6434*b. Let l(h) = 3*d(h) - 4*i(h). Find the second derivative of l(k) wrt k.\nAnswer: 5694","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -4993.163\nAnswer: 4996.163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -513*g**2 - 2031*g + 22. Determine s(-4).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*q = 6401 - 699, 3*q = -m + 1136. Suppose -5*s + h + m = -2*s, -4*h + 1162 = 3*s. List the prime factors of s.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/24886 and -65\/2.\nAnswer: 24886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 6687788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, n: 1, c: 1, a: 1}. Give prob of picking 1 a and 2 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 15.8. Let j = 19.4 + -7.4. Do v and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9002.435 millennia in centuries?\nAnswer: 90024.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 20450745, 20450755, 20450779, 20450823, 20450893, 20450995?\n\"Answer: b**3 + b**2 + 20450743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14994388.\nAnswer: 2, 3748597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -491.8976 to the nearest 10.\nAnswer: -490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 13) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 12*j - 22. Let b be t(9). Let d = 18 + 17. Suppose 0*h + b*h = d. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g + 6. Let p be i(7). Let j = -49.8 + 56. Let s = j + -6.14. What is the closest to p in s, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*u - 34. Let z be 4\/6 + 30\/u. Let x = 14.21 - 14.11. Put z, x, -1\/5, -2 in descending order.\nAnswer: z, x, -1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*o + 10 = -165. What is the remainder when 200\/(-2 + o) + 8 is divided by 28?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 24 = -i, -5*y - 3*i - 36 = -4*y. Let o be (y + -19973)\/((-1)\/(109\/(-1))). What is o rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4753, -0.65, -0.18 in decreasing order.\nAnswer: -0.18, -0.65, -4753","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19039*d*f**2 + 5*f**2 - 66*f - 2 wrt d.\nAnswer: -19039*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j + 57*j - 8870 = 3340. Calculate the remainder when j is divided by 139.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 547473711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-260 + 358*l - 176*l - 179*l)*(-3*l**2 - 4*l**2 + 6*l**2) to k*l**2 + b*l**3 + o + i*l and give k.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c**2 + 58*c - 12. Is z(23) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hskhheegghke. What is prob of picking 1 k and 2 h?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -74*g + 80. What is a(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 5*p - 3 - 0, -3*h - 4*p + 62 = 0. Solve h*k + 8 = 36 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54163 (base 11) to base 9.\nAnswer: 128875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, c: 3, t: 5}. Give prob of picking 3 t.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**5*p**3*((p\/(p*p**(-7))*p)\/p*p)\/p*(((p**7\/p)\/p)\/p)\/p*p assuming p is positive.\nAnswer: p**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1445 or -1455?\nAnswer: -1455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 - 322403?\nAnswer: -322340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 36735617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -368, -363, -356, -347, -336, -323, -308?\nAnswer: -291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -204479596 in decreasing order.\nAnswer: -2, -3, -204479596","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-3)*1*-9. Is t at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -5*y + 120 - 76, 0 = -3*y - z + 26 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 10:17 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -1\/84*f**6 - 2\/21*f**5 + 0*f**3 - 4*f**2 - 1\/21*f**4 + 4\/147*f**7 + 8*f + 0 + 3\/392*f**8. Suppose x(o) = 0. What is o?\nAnswer: -2, -1, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 + 14*g - 17. Determine o(-7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, -3\/4, -62\/9, 0.4, -10\/7?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/4 and 35\/892?\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*u + 3 - 3 + 138*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 2*u - 5*u)*(0 + 0 + 1) + 51 - 3*u - u - 49.\nAnswer: -6*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**3\/7 - 55298*d**2 + 1161276*d\/7 = 0.\nAnswer: -193546, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 5*o - 11, 5*o + 5*n = 4 + 1. Let m be 8 - (3 - (o + -2)). Calculate the highest common divisor of m and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2107364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 765 - 766.3. What is the closest to i in -0.07, 0, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 79645 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 6*w - 26 = -w, -5*w + 22 = 4*t. Solve -2*n = h + 2, -3*h - t = h + 4*n for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1105 + 0.17?\nAnswer: 1105.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t + 20 = 30 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*s**2 + 1\/5*s**4 + 4\/5*s + 0 - 3\/5*s**3 = 0. Calculate s.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-9))\/(10\/5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(2 + -1 + -2). What are the prime factors of -1*(-8 - o) - -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - p**2 - p + 2. Let r be q(0). Let g(x) = 0*x + 0*x - r*x. Let m(i) be the second derivative of -i**4\/4 - 2*i. Calculate m(g(o)).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(3*a**2 - a**4 - 3*a**2) - 12*a**4 - 3*a**3 + 3*a**3.\nAnswer: -13*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**2 - w + 6. Let b(g) be the second derivative of g**4\/6 + g**3\/6 - 5*g**2\/2 + 2*g. Let d = -1772 - -1776. What is d*b(z) + 3*r(z)?\nAnswer: 2*z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*x*y**3 - 2*x*y**2 - 15*x*y - 347*x - 8*y**3 - 9*y**2 wrt y.\nAnswer: 12*x*y - 4*x - 48*y - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2823808\/26979 - 2\/8993. Let q = -103 + x. Which is the closest to -2? (a) q (b) 2\/11 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 466033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 50571667049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from whtzzuwy. What is prob of sequence wywz?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 844.364ml?\nAnswer: 0.844364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.921 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 divided by -42?\nAnswer: 20\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 212149492 and 310?\nAnswer: 1060747460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -14*f - 4848. Let y(r) = 5*r + 1624. What is 3*k(d) + 8*y(d)?\nAnswer: -2*d - 1552","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p + 9. Is q(14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -408195155 divided by 1218493\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2486?\nAnswer: 2, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/23840 and 97\/2080.\nAnswer: 309920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 25.88133 millilitres?\nAnswer: 0.02588133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1775 - -1778. Let t = -16166\/9 - -1798. Which is greater: x or t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 79554384629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 23. Solve -6 = l*i - 14 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14078433 and -72.\nAnswer: -1013647176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - f = -b - 20, f + 2*b - 10 = 0. Suppose 0 = 6*q - q + f. Is q smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3957947 is divided by 5334?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161108344?\nAnswer: 2, 787, 25589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - t + 3*t)*(-7*t + 4*t + t) + 49*t**2 + 7*t**2 + t**2 - t**2 - 18 + 18.\nAnswer: 54*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 + 2*x - 2*x)*(-x + x + x - 2*x + 6*x - 2*x + 3*x - x + x + 2 - 2 + 2*x + (0 + 4 - 2)*(-x - 3*x + 2*x)).\nAnswer: -4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1, 18\/55, -16?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 4*u**2 + 6*u - 1. Let l = 109 + -105. Suppose l*n = j + 18 + 2, 0 = -2*n - 5*j + 10. Determine w(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3404 and 184?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 147.07 - 146. Let y = 0.17 - m. Let q = y - 1.1. Sort 5, 1\/3, q.\nAnswer: q, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p**4 + 2*p**4 - p**4 + (-p**3 + p**3 + 3*p**3)*(-111*p + 100*p - 50*p).\nAnswer: -187*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 1) + (51 - 40) + 11?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 2*r. Let h be c(-6). Calculate the greatest common divisor of h and 192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 664407?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 382, 749, 1102, 1435, 1742, 2017, 2254?\nAnswer: 2447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2573*l - 5*f = 2570*l - 15, 2*l + 21*f - 136 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.6 (b) -47.94 (c) 2\/27 (d) -1 (e) 2\/3 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**6\/120 - 3*t**5\/5 - 95*t**4\/8 + 361*t**3\/3 - 171*t**2. Factor s(o).\nAnswer: -(o - 2)*(o + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22800382537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**4\/15 - 83685964*p**3\/15 - 875417152896242*p**2\/15 + 583611853694048*p - 1459029982926720 = 0.\nAnswer: -20921496, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 2.94. Let d = -4716\/11 + 28285\/66. What is the nearest to -0.3 in 0.3, d, v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1654 + 0.12?\nAnswer: -1653.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**2. Let a(f) be the first derivative of -f**4\/4 + 4*f + 2. Let p(s) be the first derivative of a(s). Give q(p(z)).\nAnswer: -18*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.34 - 12.66. Which is smaller: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -8*n - 121. Let q be s(-13). Let u(o) = o**2 + 17*o + 4. What is u(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (1 - (2 - 22) - 39)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1281.7 in 2\/7, -10, 7, 1\/7?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from olorlooarrr. Give prob of picking 2 l.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/3*-5*(-9)\/105*-7\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 498.4706 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {z: 6, q: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 272*m + 2 + 16*m**3 + 7*m**2 - 91*m + m**3 - m**4 + 5*m**3 - 180*m to i*m + z + p*m**4 + o*m**3 + q*m**2 and give o.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 215005 and 89670?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6322.456l?\nAnswer: 6322456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 1863 = -4*g, 4*s + 1115 + 1219 = 5*g. Calculate the least common multiple of 5 and g.\nAnswer: 2330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a**2 + 26*a - 1. Let p(o) = 2*o**2 + 26*o - 1. Let n(k) = -3*f(k) + 4*p(k). Let t(x) = 9*x - 14. Let h be t(4). What is the tens digit of n(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 0.1, -2, -791?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14275, -29145, -44029, -58933, -73863, -88825, -103825, -118869?\nAnswer: -133963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 5*x**2 + 6*x + 5. Let c(h) = h - 13. Suppose d + d - 14 = 0. Let w be c(d). Calculate t(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of z**4\/4 - 2*z**2 - 5*z - 63. What is the smallest common multiple of w(3) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/2)\/(6\/(-20)). Suppose -3*z - 3*l + 15 = 0, -3*l = -0*z - z - 3. Which is bigger: z or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -67 + 14 + -26 + -2. Put 3, 7, f in descending order.\nAnswer: 7, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 9*t**2 - 11*t + 11. Let p = -227 + 233. Let u(w) = 5*w**2 - 6*w + 6. Let o(s) = p*i(s) - 11*u(s). Let r(h) = 28*h + 2. Calculate o(r(n)).\nAnswer: -784*n**2 - 112*n - 4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wegwwwgwewwggwgwg. Give prob of picking 3 w.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 667713232 and 65779.\nAnswer: 9397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 9.6328 and -46410.1.\nAnswer: -46400.4672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1187, -1189, -1191?\nAnswer: -1193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12549 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 665 - 665.4. Sort 62, d, 2 in increasing order.\nAnswer: d, 2, 62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -v**4 - 3*v**4 - 2*v**4 - 6*v**2 wrt v.\nAnswer: -144*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -5. What is the third biggest value in m, 1\/4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**4 - 20*u**3 + 832*u**2 = 0. What is u?\nAnswer: -26, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 17*m**3 + 28*m**3 - 15*m**3 as v + q*m**2 + i*m + j*m**3 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 233?\nAnswer: 22a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*l + 53 = 0, n - 68 + 12 = 3*l. What are the prime factors of n?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10114412 (base 5) to base 4.\nAnswer: 110020302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 6272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.101605135 and -192644?\nAnswer: 192644.101605135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156247.\nAnswer: 7, 13, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**3 - 3*l**3 - 2*l**3 - 2*l**2 + 2*l**2 - l**3 + (-2*l - 2 + 2)*(l**2 + 0*l**2 - 3*l**2) + 0*l**3 - 4*l**3 + 8*l**3 + l**3 + 4*l**3 - 9*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 796782 = 10*h - 5775548. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 - -32. What is the nearest to -1 in 10, w, -2\/17?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84953929?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -9*m - 3. Let j(u) = -4 - 26*u + 3 - 5 - 3. Let d(t) = -6*j(t) + 17*x(t). Determine d(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14502 (base 6) to base 9\nAnswer: 3182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141*h**3 - 446*h**3 - 332*h**3 + 8*h**3 - 275*h**3 + 629*h**3.\nAnswer: -557*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -679*l**3 + 13*l**2 - 21*l + 10. What is d(1)?\nAnswer: -677","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 26 - -5) + 156 + 22 + -25\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 287543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/(26\/2)*2\/48?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 9 = 14*b - 5*b - 13*b, -2*s = -2*b - 13 - 5 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2 + 3*m + 13*m.\nAnswer: 16*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 82 and 14?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30240522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5341410 divided by -73?\nAnswer: -73170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, -0.2, 1, -112, -1\/2?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2 - 32 = 2*u, -2*u + 4*m = 28. Let p = -6 - u. Suppose 4*j + 52 = 5*s - 5, 0 = -p*s + 4*j + 44. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53 - 53.3. Let s = 1 + -2. Which is the nearest to -0.2? (a) s (b) m (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/13))**(-1\/3) assuming c is positive.\nAnswer: c**(1\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j + 1. Let m(d) = d**3 - 12*d**2 - 14*d + 12. Let a be m(13). Let y be q(a). Suppose 0 = 3*t - 15 - 3. Solve y = 3*b - t*b + 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -30314.\nAnswer: 7\/15157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7608, 15217, 22822, 30423?\n\"Answer: -2*n**2 + 7615*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10275.21 rounded to the nearest 10?\nAnswer: -10280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 0*p + 0*p)*(43*p**4 - 37*p**4 - 45*p**4) + 0*p**5 - p**5 + 4*p**5.\nAnswer: -75*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -y**7\/1785 - 3*y**6\/340 + y**5\/510 + 3*y**4\/68 - 4*y**2 - 6. Find l such that u(l) = 0.\nAnswer: -9, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -18 (b) 0 (c) -1\/6 (d) 191\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/3 + 11*c**3\/3 + 6*c**2.\nAnswer: c**2*(c + 2)*(c + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*o = -20, 3*d - o = 3*o + 23. What is the least common multiple of (16\/24)\/((-2)\/(-33)) and d?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1692, -1676, -1662, -1650?\nAnswer: -1640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -7 + 3, -3*c = 5*m + 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41332421 - 4?\nAnswer: -41332430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) -18737 (c) 0 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*n - 11. Suppose 0 = -b - 0 + n. Let w(f) = -2*f**2 - 7*f + 9. Let u(c) = c - 1. Determine b*u(l) + w(l).\nAnswer: -2*l**2 - l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41.8 - -4.8. Let z = 37.00021 + k. Round z to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 3*d - 4. Let m be z(9). Suppose -5*b + 4*w - 124 = 1, 0 = 2*b + 3*w + 50. Let u = b + m. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (1 - (-2 - -5)) + -235 + 215.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.8*-212309.2.\nAnswer: 1443702.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2876247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 + 30 = 15*u - 6*x, 2*u - 12 = x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -45*v + 18. What is o(0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -9 - 15\/(-20)*4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1102013*b**3*k*y - 2*b**3*y - 7*b**3 + 190*b**2*k*y + 4*b**2 + 122*b*k*y - 23*b*k wrt b.\nAnswer: 6612078*k*y - 12*y - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -71, -268, -597, -1058, -1651, -2376?\n\"Answer: -66*l**2 + l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooowwrxoow. What is prob of picking 1 r and 2 w?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (0 + 3 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -t**5\/5 + 47*t**2\/2 - 44*t. What is the derivative of o(g) wrt g?\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30025.03 kilometers in meters?\nAnswer: 30025030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.131072*-17.77\nAnswer: -2.32914944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -36*q**2 + 2*q. Let w(u) be the first derivative of 4*u**2 - 5 - 37 - 3*u**2 + 9. Determine w(g(r)).\nAnswer: -72*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5826265741 to the nearest integer?\nAnswer: 1799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/26759687 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 173 - 173. Solve -v - v = x for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3462591 and 1809577.\nAnswer: 3641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 2 - 27. Suppose -o + b + 3 = 0. Is o even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 744\/38 + -13 + (3 - -4). Which is smaller: u or 15?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*y - 7 = 0, 4*y = 3*v - 2 + 11. Which is the smallest value? (a) -0.4 (b) 0.2 (c) 6 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -113302, -74 in descending order.\nAnswer: -2, -74, -113302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24 + 2 + (3 - 1). Suppose k + s = -0*k. Let x = k - -42. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (15 - 13 - 5).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*k - k - k)*(5*k + 15*k - 24*k + 8*k - 1) to p + x*k + a*k**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**3 - 3*p**3 - 2*p**3 + (40*p**3 + 17*p**3 + 29*p**3)*((2 - 3 + 2)*(4 - 5 - 1) - 44 - 81 + 58) to the form l*p + n + x*p**3 + s*p**2 and give x.\nAnswer: -5936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238410165?\nAnswer: 3, 5, 7, 53, 42841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7097698 plus -1065?\nAnswer: -7098763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19429939 is divided by 4849?\nAnswer: 4845","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-10))\/1)\/(-1)*-2\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2 - x + 0*x - x - 6. Let p be u(-9). Let m(o) = -o**3 + 14*o**2 - 2. Let t be m(p). What is the second smallest value in -8, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2826062 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 0*p + 6*p)*(-1 + 1 - 2*p)*(0*p - 2*p**3 + 0*p).\nAnswer: 24*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -3000*y**3 - 256*y**4 - 45161*y + 20316*y**2 + 15482*y**3 + 13695*y**3 + 48977*y + 767*y**3 = 0.\nAnswer: -3\/8, 0, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 134828400*k**3 + 10*k**2 - 301*k - 355?\nAnswer: 808970400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c - 31. Let x be m(27). Is (-5)\/(-4)*x + 244 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**4 - 44*b**3 + 50*b**2 + 92*b = 0.\nAnswer: -23, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + s + 1. Let b(m) = 7*m**2 - 8*m - 5. Let k be ((-2)\/(-6))\/(3\/(-9)). Let u(y) = k*b(y) - 6*w(y). Factor u(a).\nAnswer: -(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -2*a + s + 20, -5*a + 35 = 2*s. Let i(w) = -w**2 - 2*w - 1. Let b be i(-3). Let n = a + b. Let r(x) = 3*x**3 - x**2 + 2*x - 1. Give r(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 7:03 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f + 11 = f. Let h = f - -571. Is h a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -35 + 3?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 26\/(-96616)*(-1 + -3). Which is smaller: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 319.3*0.5\nAnswer: 159.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/40930 and 115\/57302?\nAnswer: 286510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a second in milliseconds?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/15)\/((-1)\/5)*(-13915)\/1265.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -300 divided by 15?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48572.\nAnswer: 2, 12143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-93)\/62)\/((-12)\/(-40))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2103*j + 1926. List the prime factors of p(-26).\nAnswer: 2, 3, 53, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 - 1 - (21 - (43 - (20 - 12)))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -4*c - 12 + 34, 0 = -4*i - 5*c + 17 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*sqrt(170) - sqrt(170) - sqrt(170)) - sqrt(170)*-2*-2)\/(-2*sqrt(160)*4).\nAnswer: sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -2*q - 15, 4*l + 3*q + 0*q = -20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4 - 36*p**2 + 37*p**2 - 23*p**3 + 0 + 3. What is f(-1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(77)*2)\/(-2*sqrt(7)*-2).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -42908 times -0.1\nAnswer: 4290.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o**(-3\/8)*o*o)*o**(2\/47))**(3\/14))**(-42) assuming o is positive.\nAnswer: o**(-1413\/376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/((198\/(-36))\/(-11))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*p = -20*p - 2*r - 341, 0 = r + 1. Does 17 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n - 5. Let v be t(8). Suppose -v*b = -0 - 27. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.3 - -4. Let l be (-2)\/(-4)*4\/(-17). Sort p, 3, l in increasing order.\nAnswer: p, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 629 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11229050531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 9*u + 3. Let s be i(8). Suppose 5*a = -c + 3*a + s, 0 = 5*c - 3*a - 81. Suppose -3*k - 2*k - f + 130 = 0, -c = -3*f. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -686659886, -1373319771, -2059979656, -2746639541?\nAnswer: -3433299426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 5*v - 8 = 24, 4*m = -4*v - 28 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57 + -54.3. Let o = b - 0.7. Sort -0.1, 3\/5, o in descending order.\nAnswer: o, 3\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/10 of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 g when two letters picked without replacement from {p: 3, u: 1, o: 3, a: 6, d: 2, g: 4}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -70909*r**2 + 51043*r.\nAnswer: -141818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**2. Let q(d) = 65*d + 6. Let k(t) = 133*t + 14. Let p(o) = 3*k(o) - 7*q(o). What is y(p(n))?\nAnswer: -6272*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 2*i - 1 = 3, 0 = v + 3*i for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/(sqrt(10) + (sqrt(120) - 1*sqrt(120))\/sqrt(12)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 157*z**2 + 454*z + 3707. Give s(154).\nAnswer: 2475","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 152, 200, 246, 290, 332?\n\"Answer: -t**2 + 51*t + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 8:36 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6985037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/(16\/32 - (-4)\/(-10)) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244 = -b - 3*b. Let u(i) = -85*i + 1. Let d be u(-1). Let m = d - b. Solve s - 5*s = -5*a - m, 5 = -5*a for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 367.3 + -786.97. Let a = r + 424. Let l = a - -0.17. What is l rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 - 48. Let m(x) = -7*x - 3. What is the remainder when m(-10) is divided by b(6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -432, -8, 2, -5, -2 in ascending order.\nAnswer: -432, -8, -6, -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 4*s - 4435 + 4433, 5*o = -5*s - 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 3*i + 8 = 0. Suppose 3 = -g - o, o - 4*o - 11 = i*g. Let t(p) = -2 - p**3 + p**2 + 6 - 2*p**g + 5*p. Calculate t(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d - 27*d = -1022. What is the lowest common multiple of d and 13?\nAnswer: 1898","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31473?\nAnswer: 3, 13, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 52*t**2 - 2 + 16 - 27*t**2 - 23*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/14*(-28)\/(-42)*(273\/(-66))\/(-7).\nAnswer: 26\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 66*s**2 - s - 456?\nAnswer: 132*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*j + 3*r, -j + 28 = -4*r - 0. Let t be (-1)\/(-4) - 3\/j. Let v be 3\/12 + (-2)\/8. Solve -3*l + t*l - i - 7 = v, -2*l = -3*i + 23 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v - 1. Let s be ((-6)\/(-15))\/(10\/25). Let i(k) = -45*k + 230*k - 42*k - 142*k. Calculate s*b(d) + 5*i(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80 + ((-32)\/(-72) - 90*858\/3159).\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1156 and 18422594.\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v + 49. Let h = -115 + 92. What is the tens digit of f(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*b - 19685. Is b\/5 + (-2)\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*((-3)\/2 - -2). Suppose -z*n + 4*s = s - 1, 0 = 2*n + 3*s - 7. What is the first derivative of 2 + i**2 - 2*i**n + 1 wrt i?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -q - 14. Let h(i) = -73*i - 235. Let w(m) = 1. Let y(c) = q*h(c) - 4*w(c). Find the first derivative of y(v) wrt v.\nAnswer: -73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -19. Suppose w = -2*z + 10, 2*z - n*w = 1 - 3. Find the first derivative of z*u - 22 - 14*u + 9 wrt u.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 3*b + 21. Let t(n) = 33*n - 12. Let f be t(b). Suppose 3*h = f - 165. List the prime factors of h.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 71*d + 207. Calculate q(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/((sqrt(108)\/sqrt(3))\/sqrt(9) + sqrt(4)) + -5 - (sqrt(270) + 4*-1*sqrt(270) + sqrt(270) + sqrt(270))\/(sqrt(18)\/sqrt(3)*-1))**2.\nAnswer: 15*sqrt(5) + 145\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 5:02 PM?\nAnswer: 522","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 36*h**3 - 280*h**2 - 308*h + 8. Let y(p) = -5164*p**2 + 103*p + 5257*p**2 - 3 - 5*p**3 - 8*p**3. Let k(m) = -3*l(m) - 8*y(m). Solve k(j) = 0.\nAnswer: -1, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(9\/5)\/(i\/i**(-19)*i))\/(i*i**(-5\/6)*i**(-10\/9)\/i))**(-10\/3) assuming i is positive.\nAnswer: i**(1553\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.384 and -3304.56.\nAnswer: 4573.51104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6251, -12498, -18731, -24950, -31155, -37346, -43523?\n\"Answer: 7*x**2 - 6268*x + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 31127 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -867*p**2 - 170952*p - 8426928.\nAnswer: -3*(17*p + 1676)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121 + (1438 - 1464 - ((5 - 2) + -15)).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 172327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 + 39 + 24 - (4 - -5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*((u*u*u**(-1)\/u)\/u)\/u)\/u)**(6\/11)\/(u**(1\/2)\/u*(u\/u**4)\/u)*((u**(1\/3)*u)**14)**(22\/5) assuming u is positive.\nAnswer: u**(28409\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 7*c - 9. Let g be j(5). What is the closest to g in -0.1, -1\/7, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.32 - -0.02. Let c = 3.7 - 3. Let w = c - 0.3. Sort 2, w, s in decreasing order.\nAnswer: 2, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-10))\/(3*1)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 2:54 AM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3 - a**3 + 2*a**2 + a - 2*a**2 - 4*a**2. Is h(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -412 - -887. Is 29 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 31*n - 12. Let z be q(1). Suppose 2 = 3*c - z. Calculate the remainder when 34 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 25*t + 20. What is c(-22)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -68563\/24 - -2857. Let s(v) be the third derivative of i*v**6 + 0*v - 1\/4*v**5 - 5\/24*v**4 + 17*v**2 + 5\/6*v**3 + 0 - 1\/21*v**7. Solve s(a) = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-33)\/22)\/(11\/770). Let d be (343\/k - -3)\/(4\/(-10)). Let 0 + 1\/3*z**3 + z**2 + d*z = 0. Calculate z.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 7) to base 3\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3, 2\/5, -6\/5, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -u**7\/2520 - u**4\/3 + 4*u. Let s(g) be the third derivative of c(g). Let d(f) = -3*f**2. Determine d(s(n)).\nAnswer: -3*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 10*p + 3. Let a = 9 + -19. Let f be k(a). Suppose 5 = f*g - 1. Solve 2*l + 1 = g*s + 11, 0 = l + 5*s + 1 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wcel when four letters picked without replacement from {o: 4, c: 3, l: 2, w: 6, e: 1}?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -40.7, -1, -10, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143751*u + 6 = -143752*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -689, -725, -713, -593, -305?\n\"Answer: 10*p**3 - 36*p**2 + 2*p - 665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -x**5\/5 - 104*x**4\/3 - 1656*x**3 + 23328*x**2 + 1338*x. Solve t(q) = 0.\nAnswer: -54, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d. Determine v(9).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 603307 by 5339.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5915 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.08, -7\/3, 1 in descending order.\nAnswer: 3, 1, -0.08, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*u + 26516 + 4669. Does 25 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 158\/(-506) - (-9 + 5)\/(-55*(-4)\/10)?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 600 + -599. Let c be (-1886)\/(-82) + (-2)\/i. Let x be (-3 + 2 - -2) + 167. What is the highest common factor of c and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/3770 and -33\/143390.\nAnswer: 4158310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1775377741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*s - 7. Suppose k - 21 = -s*h - 4*k, -4*k = 5*h - 27. Suppose -496 + 98 = -5*q - h*t, -16 = 4*t. Is 27 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45 - -250. Let k = 415 - b. Is 60 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6216.594 seconds to nanoseconds.\nAnswer: 6216594000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 10*v = -2. Let b be 47\/4 + 2\/8. Let m = v + b. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 452 + -393. Suppose -107 = -w + i, 4*i = -4*w + 68 + 376. Calculate the remainder when w is divided by d.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 1236976.\nAnswer: -1\/618488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -45*h**2 - 122*h + 48. Calculate z(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1389447063?\nAnswer: 3, 31, 4980097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -431*f**7\/42 + 12083*f**3\/6 + 39*f**2 + 4*f - 11. Differentiate a(l) with respect to l.\nAnswer: -8620*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9115.032 decades to millennia.\nAnswer: 91.15032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 8:38 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1219305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -7835*c - 148713. Calculate g(-19).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2121.56 + 218.44. What is the smallest value in 1, -1, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 40\/26)\/(586\/(-3809))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 16) to base 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**28\/(k\/k**(1\/15))*((k*k**(-32)\/k*k*k)\/k)**(-2) assuming k is positive.\nAnswer: k**(1336\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 45759, 91517, 137275, 183033, 228791?\n\"Answer: 45758*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + -4*sqrt(32))*4 - (-2 + (sqrt(242) - 1*sqrt(242))))**2 - (-1*sqrt(72))\/(sqrt(9) + (sqrt(144)*2 - sqrt(144))).\nAnswer: -1198*sqrt(2)\/5 + 7204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -101.8, 0, 1, 0.2?\nAnswer: -101.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2244 - -2243. Let o = 1 + -4. What is the closest to k in 3, 1\/10, o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + sqrt(1008) + 5) - (4 + (sqrt(448) + sqrt(448) + 1 + sqrt(448))**2 + (sqrt(7) - (3 + sqrt(14)\/sqrt(2)))).\nAnswer: -4006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 1883 - 1913 = -3*n, -4*n = 5*v - 47 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oj when two letters picked without replacement from {z: 5, o: 1, h: 1, j: 1, a: 7}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 8*x + 17. Let d(s) = -9*s - 3. Calculate -3*d(l) - 4*w(l).\nAnswer: -5*l - 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42947 divided by -6.\nAnswer: -42947\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24117 - 23245. What is the smallest common multiple of 763 and a?\nAnswer: 6104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*s**3 + 56*s**3 + 6*s**3 + 48*s**3.\nAnswer: -13*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 155800183018 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 2. Let g(z) = 21*z**2 + 12. Calculate -g(f) - 6*i(f).\nAnswer: -27*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.05, 0.2, -0.09, -0.7.\nAnswer: -3, -0.7, -0.09, -0.05, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -x - 22, -2*x - 35*y + 1 = -34*y for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - (-40)\/(-18)) + (-188)\/(-36). Suppose 5*n + 20 = 0, o - 712 = p*n + 331. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 l when two letters picked without replacement from {l: 2, c: 11, u: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**3 - 1577*h**2 + 15870*h = 0.\nAnswer: -1587, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (1 + -1 + (6 - -2)) - 7.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6\/13 (b) -119 (c) 2\/9 (d) 1 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 262, -1, 5\/6, -9 in increasing order.\nAnswer: -9, -1, 5\/6, 262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*m - 32. Let o be m - 1\/1*-2. Suppose -2*y + 6 = 4*l - 0, -o = 3*y. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -955 = 2*o - 4*g - 945, 0 = 3*g - 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3643086*k**3 - 8*k**2 - 15437*k - 21 wrt k?\nAnswer: -21858516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-1*sqrt(102) - (sqrt(102) - -2*(sqrt(102)*2 + sqrt(102) - sqrt(102))))\/(sqrt(486) + 2*sqrt(486) + sqrt(486) + sqrt(726)*2))**2.\nAnswer: 153\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n + 5 + 25 = -15. Let i(a) = a**3 - a**2 - a - 5. Let z be i(0). What is the smallest value in 3\/2, n, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-38 - (-17 - 4))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*a - 168 = -150*a. Calculate the greatest common divisor of 112 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*m**3*s**3*u + 273*m**3*s**2 - 2*m**3*u - 3*m*s**3 + m*u - 295*s**3*u wrt s.\nAnswer: -18*m**3*u - 18*m - 1770*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s + 1. Let u be t(-3). Suppose -2*b + 24 = u*l, b + 0*b - 3*l = -3. Solve -z + b + 11 = -3*y, z + 3 = -2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62940.5749 rounded to the nearest one thousand?\nAnswer: -63000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5116924527.74 and -6.\nAnswer: -5116924533.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -42, -31, -8, 33, 98, 193, 324?\n\"Answer: z**3 + 4*z - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -10*f + 189. Let q(v) = -19. Calculate -4*g(c) - 44*q(c).\nAnswer: 40*c + 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p - 6 = -19*p. Solve g + 0 = 1, -3 = -2*s + p*g for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2361574?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of 0*z**2 - 1\/40*z**6 + 0*z**4 - z + 0 + 0*z**5 + 0*z**3 - 1\/56*z**7. Let t(y) = 0. Calculate y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -153*t - 504. What is the thousands digit of g(-27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d9c5a - -1d?\nAnswer: d9c79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -27915.913 and 0.05 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6*i + 264. Let q be r(-44). Solve q = 198*d - 184*d + 56 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.054 + -15.746. Let o = -16 - j. Which is the nearest to -1? (a) -1\/6 (b) o (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1580?\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 - 33 + 774*m)*(2*m**4 + m**3 - m**3).\nAnswer: 1548*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2\/9 (b) -321 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 431 + -429. Solve 4*p + t*j = 14, 0 = -6*p + 2*p - j + 11 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 120.057966 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)*-1*-1)\/sqrt(6) - (-4 + sqrt(17)*2 + 3).\nAnswer: -sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.655229 rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12275859 is divided by 12275814?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 278 - 26. Let a = c + -162. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 4:15 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2808)\/(-44) + -1 - (-2)\/11. Let a = k - 61. Let x(m) = 19*m - 2. Calculate x(a).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -141*i - 330. Let y be f(-5). What is the greatest common divisor of y and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (1 - (-9)\/(-7)). Suppose 0 = -2*f + 4*f + 10, 6 = -x - f. Which is the nearest to x? (a) m (b) 5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/3)*y)**(4\/3))**45 assuming y is positive.\nAnswer: y**80","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from sususssuuu?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -2\/5 (b) 0.02912 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1597852 is divided by 67?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 23\/30, 3, -782?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -185 (base 9) to base 13\nAnswer: -c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42380 is divided by 21187?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 434 + -415. Suppose -v*u + 54 = -13*u. Let b = -54 - -114. What is the remainder when b is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94525 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -506\/17 + 38669\/1326. Which is bigger: -2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 706744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5522 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - 7)\/(3\/2). Let y = 60 - g. What is the remainder when 21 is divided by y\/(-4)*(-4)\/6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1306 divide 108437528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a - 4415 = 121. Suppose -3*i - a = -9*i. What is the greatest common factor of i and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33 or 2071?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from wrrwwrww?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 541860.8 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122846*a**3 + 131454*a**3 - 254292*a**3.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*j - 33*j + 424 - 427.\nAnswer: -21*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -90, 3, -9, -8, -17.\nAnswer: -90, -17, -9, -8, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) -5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 7*l = -4*k + 1, -5*l = -8*k + 3. Put -74, k, 0, -2 in descending order.\nAnswer: k, 0, -2, -74","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41ccbd (base 14) to base 13.\nAnswer: 5cba81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/(-1938))\/(4 + 141\/(-36))?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 18*t - 106 = 0, 24 + 9 - 9 = 5*v - 4*t - 24 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 3:11 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64 - 62. Suppose v*w - 93 - 895 = 0. Let j = w + -224. Is j a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67400 equal to 66202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 823026820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2000121 + 0.2. What is g rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v - 176779 = 401995. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 17 + 1 - 0\/(-90)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/20)\/((-22)\/6732*-9).\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 89*d - 78. Calculate a(0).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccy when three letters picked without replacement from {q: 7, n: 1, c: 3, y: 3}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57\/58 + -2179\/232. Calculate the common denominator of o and -87\/82.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -276\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + (0 - 2))*-1. Suppose -3*a = -3*w + 6, 5*a + w + w - c = 0. Suppose 0 = 3*k + r - 0*r + 5, 0 = 2*k - r. Put k, a, -5 in increasing order.\nAnswer: -5, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62711 and 781.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3*4\/(-6))\/((-4)\/6). Suppose -484 = -3*h + 2*w + 2*w, 850 = 5*h + 2*w. Suppose -y = -2*i + h, -i + 330 = q*i + y. What are the prime factors of i?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 1350960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 13*d**2 - 1. Let q(l) = 1143464*l. Determine q(p(g)).\nAnswer: 14865032*g**2 - 1143464","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/370 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -425650860?\nAnswer: 1\/425650860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -5245, -27895, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2836.\nAnswer: 2, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -91.9 - 17.1178\nAnswer: -109.0178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 56333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 140873197?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - 22 - -21) + (-14)\/(-2). Solve -14*a = -32 - p for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d**3 + 1293308 + 69*d - 1293308.\nAnswer: -6*d**3 + 69*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5.205296mm?\nAnswer: 5205296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18158, 37430, 56704, 75980, 95258, 114538?\nAnswer: 133820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*c, 37 = t - 3*c - 15. Calculate the remainder when 140 is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1420*g**3*i**3 + g**3*i**2 + 4*g**3*i - 2*g**2*i + 8*g*i**3 + 140*i wrt g.\nAnswer: -8520*i**3 + 6*i**2 + 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -261 + 256. Suppose -3*v - 6 + 18 = 0. Let m = v - 0. What is the third smallest value in -0.5, o, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -485963\/812724 + -10\/18471. Find the common denominator of o and -119\/60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 215320 * -10.\nAnswer: -2153200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24179\/489 + -17\/815. Let r = -258\/5 - f. What is the common denominator of -27\/50 and r?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + (2*sqrt(180) - sqrt(180)) - -6*(sqrt(20) - 2*sqrt(20)))\/(-5*(sqrt(400) + 1*sqrt(400))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 1.1. Suppose 13*y = 12*y + 138. Let q = 142 - y. Which is the third biggest value? (a) q (b) s (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -263 - -2a501?\nAnswer: 2a27c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13042 (base 5) to base 12.\nAnswer: -712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/((-9)\/(-3))*0. Suppose -x + 341 = -5*k, 4*k + 20 = -a*k. What are the prime factors of x?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32155.55m to micrometers.\nAnswer: 32155550000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n**2 - n - n - n**3 - 4*n**3 = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**3 - 12 + 12.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 1 - (-30 - -39)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4*r - 30 = -r, -3*r = 5*g - 32. Let i be -1*(0 - -2) + 2. Factor 6*u**2 - 1 + i - g*u**2 - 2*u.\nAnswer: -(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 5*l - 10. What is the second derivative of 16*a - a + 4*a**2 - 19*a**l wrt a?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2312\/(-77) - 734\/(-28259)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(252\/32))\/(38\/(-57))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 10*t**4\/3 - 36046*t**3\/3 + 38897330*t**2\/3 - 10912614050*t\/3 - 1457090500 = 0?\nAnswer: -2\/5, 435, 1585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -38665, -77369, -116073, -154777, -193481, -232185?\n\"Answer: -38704*t + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -s + 3, 3*s + 5 = p. Solve 0*k - 2 = p*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szgssgzagga. What is prob of picking 1 s and 1 a?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (18 + (5 - (-1 + 11 + -7))).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -5, 5, 0.6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-2\/13)\/y)\/y)\/(y*y**5))\/(y**(-3\/7)*(y**0\/y)\/y) assuming y is positive.\nAnswer: y**(-521\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 445614\/(-54810) - (-3)\/(6\/16) and -19\/9?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aga when three letters picked without replacement from {a: 3, p: 4, g: 5}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(117)*-4)\/(-4*sqrt(9)*1) + -2.\nAnswer: -2*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316007 is divided by 1926?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 10:33 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 79 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g. Let t(k) = 4*k. Let j = -20 - -32. Let w be (-21)\/j + (-2)\/8. Let c(f) = 3*f. Let r(h) = w*t(h) + 3*c(h). Determine 3*r(n) + 5*u(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 15*v + 20. Let z be 14*((-1 - -4 - 3) + 1). Let a = 23 + -7. Calculate the lowest common multiple of b(z) and a.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by (21\/(-35))\/((-1)\/(-10)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8531 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001799 to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37154940 and 375.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 41*a - 36. Let x be d(6). List the prime factors of (x\/56)\/((-2)\/(-520)).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -97103160*z**3 - 39101153*z?\nAnswer: -582618960*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + 6 + -6 + 16. Solve -13*h + m = -5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.055 bigger than 349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2025022 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -93*j - 61*j + 26*j - 12*j as t + x*j and give x.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 3*w + 20*s - 16*s = -5 + 74 - 313, 0 = 5*s + 310 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -3.1?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**10)\/o**(1\/5)*(o*o\/(o\/(o**(-2\/7)*o))*o)\/o**10 assuming o is positive.\nAnswer: o**(158\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1*-787957\nAnswer: 787957","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let i be 10 - 5 - -1 - 4. Put -3, -1, 1\/3, i in increasing order.\nAnswer: -3, -1, 1\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 37 = -50. Suppose -5*x + p - 62 = -19, -3*p + 49 = -5*x. What is the tens digit of x\/4 + c\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 157 - 1729\/11. Which is the third smallest value? (a) 0 (b) x (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -110 and -0.7557?\nAnswer: 83.127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d - 2. What is the least common multiple of 8 and z(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/4)\/(-3) - 4222\/(-8). Let c(u) = 41*u - 1. Let t be c(9). Let m = w - t. What is the greatest common factor of m and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 4060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 0. Suppose 4*p = -5*z + n*z + 223, 5*z = -5*p + 285. Suppose 4*y - p = 5*v, 4*y + 0*v = -2*v + 24. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 3 + -4 + 2 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -80 + 101. Let c = 1 + 0. Suppose 5*v + c = i. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2795 is divided by 46?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-45) + -5*2\/(-45)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 11 = -73. Let l = n + 17. Let h = -4 - l. What is the remainder when h is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -189 + 121. Let i = d - -70. Find p such that 1\/7 - 3\/7*p**i - 2\/7*p = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/83984 and -79\/22?\nAnswer: 923824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 70\/805 - 412\/(-23). What is the units digit of (-1540)\/297*-24 - 8\/x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000766458512 to 7 decimal places.\nAnswer: -0.0007665","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/4*4\/(-105)*(70 - 63). Which is the smallest value? (a) -1 (b) 0.5 (c) u (d) -2\/9 (e) -57\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 2*j - s = 14, 7*j + s = -39 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(448))**2 + 1.\nAnswer: 4033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -88809698 - -88809691.00000012. Let x = -7 - m. What is x rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 606\/29 > 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 11, f: 9}. What is prob of sequence efef?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 0.6, 7, 5, -2, 2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 9733 - 35970 = -2*r, 5*n = 5*r - 114220. Calculate the remainder when r is divided by 238.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 511 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by 4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 81*z - 9*z**2 - 51*z**2 - 2 - 12*z**2.\nAnswer: -72*z**2 - 81*z - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1) + 3 + -6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 1 - 1)*(2*g + 3731978*g**3 - 3731978*g**3 + 2379*g**2 + 4*g**4).\nAnswer: -8*g**5 - 4758*g**3 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/14)\/(-1) + 17\/68*-4\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2*4953\/(-52)*-138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 143 - 150.52. What is z rounded to zero dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -12 - 8 + 21. Let j(p) = -81*p**2 + 7*p + 13. Let n(x) = 3*c(x) - j(x). Let y be n(-3). What is y rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 170 + (14\/(-35))\/((-3)\/(-15)). What is the greatest common divisor of g and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -4*z**3 + 10028*z**2 + 10040*z - 20064 = 0.\nAnswer: -2, 1, 2508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(sqrt(2)*-2 - sqrt(2)))\/((sqrt(80)*1 + sqrt(80))\/sqrt(10) + sqrt(8)).\nAnswer: -sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(7) + -2)**2 + sqrt(140)\/sqrt(5).\nAnswer: 10*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.36*0.2\nAnswer: -0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 367628 and 1293852.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 81.2 + -81. Let s = w + -0.143. Let b = s - 0.127. What is b rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 0) + 7 + -15?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.031503 - -0.0265448. What is b rounded to 4 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-4)\/(s**(-2\/45)*s)*(s**(2\/3))**(2\/85) assuming s is positive.\nAnswer: s**(-3779\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 1 = -t. Let l = 134 + -138. What is the units digit of (-65)\/l + t\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -2 - -2)*-5*126\/135\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (-24 + 3 + -4 + 1). Suppose k = 10*w - 13. Solve -4*c - c + 15 = -3*y, 15 = w*c - 3*y for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.031 + -0.031. Let z be (1\/2)\/(2\/(-20)). Which is the smallest value? (a) v (b) z (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7177510, 14355020, 21532530, 28710040?\nAnswer: 35887550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - i = 437, 6*s = s - 3*i + 429. What is the remainder when s is divided by ((-1)\/3)\/(10\/(-660))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 8 = -7*u. Let q(a) = -a**3 + 2*a**2 + 5*a - 6*a**2 - a**u. What is the units digit of q(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23 and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8364613582?\nAnswer: 2, 13, 321715907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4*z = -141, -44 = -3*o + 4*z + 15. What is the remainder when o is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 3:47 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14398212*w**5 + 3552*w**2 + 257*w wrt w?\nAnswer: -863892720*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.8 - -9. Which is the closest to -7? (a) d (b) -4 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34*b**4 + 17552*b**2*w - 2305*w - 140 with respect to b.\nAnswer: -136*b**3 + 35104*b*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 5:26 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v**2 - 2*v + 1. What is the units digit of m(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 102 + -96. Let n = -121\/315 + -2\/45. What is the nearest to i in 1, -2, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -1) + 0 + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/17)*q**(1\/27))\/((q**(-1\/11)*q)\/q**11) assuming q is positive.\nAnswer: q**(51730\/5049)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.04 - 3.42. Let h = d + 0.38. Sort h, -4, 4\/3 in decreasing order.\nAnswer: 4\/3, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55eff0 (base 16) to base 5\nAnswer: 2420210414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 525 and 315.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51098778 is divided by 18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, e: 3, w: 5, a: 3}. What is prob of picking 2 w?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-120)\/(24\/(-6)) - -4 - -5. Calculate the highest common factor of a and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -507057 (base 8) to base 14.\nAnswer: -45063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-398 - -13844)\/(1*2). What is the highest common factor of 83 and g?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49\/2 + -25. Which is the second smallest value? (a) 4 (b) 3\/5 (c) l (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223322 (base 4) to base 14.\nAnswer: -104a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d, v - 3*v + 4*d - 6 = 0. Is -3 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f = -24*f + 112. Let v = 136 - 147. Let m = f + v. Calculate the greatest common factor of 34 and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 209 and 3724?\nAnswer: 40964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/(-6)*(-4)\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80026.\nAnswer: 2, 40013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -261, -528, -981, -1626, -2469, -3516, -4773, -6246?\nAnswer: -7941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h**2 + 8*h - 4. Give s(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21770471 at most as big as 21770469?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*a - 25*a - 16 = -l, -5*l + 3*a = -12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-97497)\/2041 - 84\/26?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -283, -566, -837, -1090, -1319?\n\"Answer: g**3 - 290*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 15. Let z = -5 + h. Solve -z*o - 4 = -o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -1\/21, -29, 1?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 0*d = 2*f, 3*f = -d. Which is the closest to 0.1? (a) -3 (b) f (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, i: 3}. Give prob of picking 2 s.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 (base 8) in base 13?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -13*w + 1. Let y be c(2). Let p = y + 31. Let k(i) = 2*i**2 + 5*i - 16. Let v(q) = -q**2 - 3*q + 8. Let l(d) = 6*k(d) + 11*v(d). Calculate l(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -444 > 7991?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1080 - 1084. Sort -39\/7, f, -1.\nAnswer: -39\/7, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-13)*(-164)\/(-492)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*1*(1 + 0). Suppose -21 + 8 = -4*r + 5*u, 22 = r - 5*u. Let p be (0 + 0 - r) + 3. Are t and p equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 883523913*u**4 - 1038838496*u**2 wrt u?\nAnswer: 21204573912*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86, -110, -146, -194, -254, -326, -410?\nAnswer: -506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 7*k - 1. Let j be u(5). Let g(i) = -141976*i**2 + 5*i + 11. Let a be g(j). What is a rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 1235 = 4*z. Suppose 21380 + 20842 = 681*f. What is the remainder when z is divided by f?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1155*o - 4956 - 1768 - 13214 = 4317 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 1 + 4 + -3 + 3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j - 2. Let p(v) = -4*v + 3. Let q be (-21)\/12 + 2\/(-8). Let a(d) = q*p(d) - 3*l(d). Let o(k) = -3*k + 2 - 2. Determine o(a(g)).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3689853122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 113848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -10434014646?\nAnswer: -10434014652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 9*l + 11. Let w(b) = 305*b - 45. Let d(x) = -35*x + 5. Let y(o) = 35*d(o) + 4*w(o). Let f = 1 + 4. Let i(c) = f*y(c) + 3*a(c). What is i(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/21 + (-132)\/(-28). Solve 0*r + r - 27 = s*o, 0 = -5*r - 4*o - 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**2 + 22*s**2 + 17*s**2.\nAnswer: 39*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 22 + 2 + 0 - 4\/(-1). Suppose 0 = h*v - 22*v + 408. Let x = v + 106. Does 19 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 16*p**2 - 74*p + 41. Is i(-22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 154 and 406.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -31ba4c (base 16) to base 14\nAnswer: -60b948","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.4, -0.2, 147, 5, 1\/5 in descending order.\nAnswer: 147, 5, 0.4, 1\/5, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 92, 183, 274, 365, 456?\n\"Answer: 91*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/4)\/(-30)*-2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6841 - -7721. Calculate the remainder when g is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23169 in -2\/5, 25, -0.5, -1\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 1 = 2*a, -87*a = 3*m - 85*a - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 411*h**3*r**2 + 8725*h**3 + h**2*r**2 + 35426*h**2*r - 2*h**2 - 3*r wrt h?\nAnswer: 2466*r**2 + 52350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l + 0*l + 12*l.\nAnswer: 16*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -x**2 - 21*x - 204. Let q(g) = -g. Calculate y(q(j)).\nAnswer: 2*j - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) - (1*sqrt(1700)*5)**2)*-3.\nAnswer: -30*sqrt(17) + 127500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 265443676 a multiple of 1153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zo when two letters picked without replacement from {z: 1, x: 4, o: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of d**7\/35 - 11*d**6\/45 + 7*d**5\/25 + 5*d**4\/9 - 17*d**3\/15 + d**2\/3 - 3*d - 21. Determine i, given that b(i) = 0.\nAnswer: -1, 1\/9, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 452491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -13*q**3 + 2*q**2 - 4*q + 7. Is 46 a factor of k(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**3 + h**2 + 2*h - 2. Let v be u(-3). Suppose 4*j = -16, 2*k + 0*k - 3*j + 6 = 0. Let a = v + k. Does 18 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1508)\/1560 + 3\/10?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -88*p**2 - 15*p - 21. Calculate n(-2).\nAnswer: -343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2260 and 14869896?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 4*q - 4*q)*(2 - 3*q - 2)*(-2356 + 241*q**2 + 2356).\nAnswer: 4338*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, j: 3, u: 9, c: 1, w: 4}. What is prob of sequence juju?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -171? (a) -3 (b) 1\/10 (c) -2\/9 (d) -2\/55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fnsffnffnffnfssgjf. Give prob of picking 2 s and 2 f.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 9*x - 16, 0 = -5*j - 4*x + 2261. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, a: 1, s: 2, k: 2, i: 4, p: 1}. What is prob of sequence asp?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3945076.\nAnswer: 2, 181, 5449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**2 - 7*n + 1. Let a(j) = -2*j**2 + 4*j. What is -5*a(d) - 3*r(d)?\nAnswer: d**2 + d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/12)*q**(-2\/3)\/q*(q\/q**(1\/6))\/(q**(1\/4)*q*q) assuming q is positive.\nAnswer: q**(-19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (5*sqrt(880))\/(sqrt(5) + sqrt(200)\/sqrt(10)) + 1)**2.\nAnswer: -40*sqrt(11) + 4481\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 10) in base 2?\nAnswer: 10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 7. Suppose 4*i = -4, -r*f - 4*i = -3*i + 21. Suppose -95*j - 3 = -94*j. What is the third smallest value in j, 1, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*g + i, 0*i - 10 = -3*g + i. Suppose -6*s + g*s = 6. Let t(q) = q**2 + 5*q + 4. Calculate t(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52 - -114. Let b = 553 + -545. Calculate the least common multiple of b and t.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 737756689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -2\/7 (b) 1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**4 + 288*s**3 + 17656*s**2 - 1293888*s + 1275948 = 0.\nAnswer: -67, 1, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 634*w + 6968. Give q(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 156 = 4*v, 0*v = 2*l + v - 63. Let x = 10 + -3. Calculate the remainder when l is divided by 7\/x*12\/1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, f: 1, o: 2, p: 2, e: 1}. Give prob of picking 1 f and 2 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, a: 4, h: 3}. What is prob of sequence ahr?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 7 = -5*w - 28, -w + 5*r - 23 = 0. Let p be 4\/(-6)*(5 + -2). Sort 3, p, w in ascending order.\nAnswer: w, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(2\/7)*i)*i\/i**(-4))**(-1\/18) assuming i is positive.\nAnswer: i**(-11\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 72, 2, -1357, -3 in descending order.\nAnswer: 72, 32, 2, -3, -1357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-nine fifths of a tonne?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 1208.\nAnswer: -5\/1208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.01 + -0.023. Let d = i - 0.967. Sort 1\/6, d, -2, 0 in decreasing order.\nAnswer: 1\/6, 0, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*f**3 + 5*f**2 - f**2 + 2*f**2 - 4*f**2.\nAnswer: -53*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*z**3 - 16 + 14 + 4 + (2*z**2 + 2*z - 2*z)*(-2*z + 4*z - z) to t*z**3 + a*z + p + b*z**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 + 72*l + 75. Let q be x(-35). Suppose 4*r + 1 = v, -q*r + 3*v = -2*v + 5. Determine j so that 12*j + 3\/2*j**2 + r = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of 0*b - 13\/3*b**3 + 0 + 37*b**2 - 41\/24*b**4. What is the hundreds digit of w(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69489110 - 1.16\nAnswer: 69489108.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*x - 71*x + 37*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 + 32*u + 48.\nAnswer: 4*(u + 2)*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w + 7. Let a be (-2 - -1 - -1) + 3. Let h be 1 + (a\/(-3) - -4). Let u be i(h). Which is smaller: u or 6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**5\/7 + 170*f**4\/7 - 187506*f**3\/7 - 1130306*f**2\/7 - 566960*f\/7 + 1884600\/7 = 0. What is f?\nAnswer: -349, -5, -2, 1, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 210 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*m - 36 = -32*m. Suppose m*j + 25 = 43. Solve -f + 2 + j = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -230032222 + 32330?\nAnswer: -223333232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 11:39 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -2*z**7\/7 + z**5\/5 - 21*z**4\/2 - 1834*z**3\/3 - 7213. What is the third derivative of x(l) wrt l?\nAnswer: -240*l**3 + 24*l - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -11. Let y = -6584\/5 + 1317. Let b = -39\/2 - -19. What is the closest to y in b, 0.3, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 10, 167213, 4 in decreasing order.\nAnswer: 167213, 10, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*p = -91, -4*g + p + 78 = -4*p. Let x be 12\/(-10)*(-20)\/6. Suppose -o + 325 = x*o. What is the remainder when o is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 y, and 1 q when four letters picked without replacement from qqvqyqqqqqlq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 5*c - 4. Suppose -2 = -5*d + 2*v, 4*d - d + 3*v - 18 = 0. Let a(r) = 2*r - 3 + d*r + 0*r. Give -3*a(t) + 2*x(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 5 (c) 436 (d) 3 (e) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -93281*s + 279874. Determine l(3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.6? (a) 1 (b) -2 (c) 46 (d) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -100006 (base 8) to base 13\nAnswer: -11bc1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/4)\/((-2)\/2972) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1770 plus 5?\nAnswer: -1765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236 - 486*s + 966*s - 489*s - 240.\nAnswer: -9*s - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 19*t**2 + 3*t + 14. Let k(s) = -15*s**2 - 4*s - 12. Determine 6*k(j) + 5*x(j).\nAnswer: 5*j**2 - 9*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13dce0 + -2?\nAnswer: 13dcdd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 586*j**2 - 177*j - 1014. List the prime factors of x(-6).\nAnswer: 2, 3, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s**5 + 548*s**4 + 3256*s**3 + 5256*s**2 - 2052*s - 7020 = 0. What is s?\nAnswer: -39, -3, -5\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/4885 - 195422\/53735. Let t(w) = -2*w**2 + 14*w - 20. Let a be t(4). Suppose -35*q - 7 = x - 37*q, 0 = 5*x - a*q + 23. Do m and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-816)\/1020)\/((-6)\/9).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 5)*(-1 - k + 1) + k - 4*k + 4*k + (4*k - 6*k + k)*(3 - 4 - 2) + 26*k + 4*k - 11*k.\nAnswer: 19*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 13551314.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*h - 48*h - 3*h**3 - 15*h + 17*h + 26*h.\nAnswer: -3*h**3 + 11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 241*v + 728. Determine o(-5).\nAnswer: -477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 256 and 92416?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -264 divided by -11.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 9*y + 17. Suppose -5*g + 4*m + 28 = 0, -16 = -2*g - g + 2*m. Let j(i) = -148*i + g + 0 + 150*i. Determine 6*f(a) - 26*j(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by (-162)\/(-1053) + 40\/26*9.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.35 + -23.8?\nAnswer: -23.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epnps. Give prob of picking 1 p and 1 n.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -391 by 34.\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**3 + 0*a**3 + 3*a**4 + (9*a - 3*a + 0*a)*(a - a + 2*a**3).\nAnswer: 15*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 7*p + 9. Let o be u(-6). Let i(z) = -9*z**2 + 5*z - 7. Let x = 113 + -108. Let m(n) = 5*n**2 - 3*n + 4. Determine o*i(b) + x*m(b).\nAnswer: -2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 5*v + 1\/36*v**4 + 0*v**2 + 1\/15*v**5 + 0*v**3 + 0. Determine k so that b(k) = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vtqt when four letters picked without replacement from {a: 3, v: 2, t: 4, s: 3, q: 1, h: 2}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.74 * -0.5.\nAnswer: -0.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d - 4*d**5 + 3*d + (d**4 - 3 + 3)*(-12*d + 23 - 23).\nAnswer: -16*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z + 7. Let s be y(4). Suppose 0 = s*t + 3, 3*i + 0*t - 3*t = 168003. Round i to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 + (1 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of 1089*f**5\/5 - 962*f**2. Let i(z) = z**2. What is i(q(m))?\nAnswer: 170772624*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1266 + 0.7.\nAnswer: 1266.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 5*t + 9. Let a(y) = y + 2. Let s(u) = 9*a(u) - 2*m(u). Let i(f) = 3*f**2 + 1. Determine s(i(v)).\nAnswer: -3*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 49091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2478 and 1982400.\nAnswer: 1982400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 961, 1893, 2823, 3751?\n\"Answer: -y**2 + 935*y + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 11 = m, -3*m - 4*x - 10 = 3. Let h = 2.4 + -2. Let u = -1.4 + h. Sort u, -3\/7, m.\nAnswer: u, -3\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-28))**10 assuming j is positive.\nAnswer: j**(-280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**2 + 65651381*s - 65651381*s.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30506*g*x**2 + 2734*g*x + g + 6 wrt x?\nAnswer: 61012*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**4 - w**3 - w - 1. Let u(t) = -5*t**3 - 3*t**4 - 5 - 10*t**4 + 4*t**4 - 2*t. Let f(m) = 5*n(m) - u(m). Find the second derivative of f(b) wrt b.\nAnswer: 48*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -17*p + 1. Let j be t(-1). Suppose 6 = -z + j. Let w(d) = -d**3 + 12*d**2 + 8*d + 23. What are the prime factors of w(z)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6\/(-7) - (-1016334)\/609.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/41, -3\/5, -5, 0, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -180*d + 183*d + 7 - 2. Suppose -6*o = -o + 30. Let i(n) = 1. Calculate o*i(q) + c(q).\nAnswer: 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h - 10. Let t be y(7). Suppose t*o + 28 = 88. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 10:34 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3311 is divided by 107?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11918*s - 12127*s + 7315 = 0 for s.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 12*y**2 - 12*y - 15. Give t(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 12:10 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174449162?\nAnswer: 2, 107, 659, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 2)*(-23*d + 87*d + 53*d).\nAnswer: 468*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1515866.\nAnswer: 2, 11, 68903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 44969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 472 - 469. Let i(v) be the first derivative of 1\/3*v**c + 4 + 9*v + 3*v**2. Determine n, given that i(n) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -948 and -94723091074.\nAnswer: -94723092022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -507, -508, -509?\n\"Answer: -r - 506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5158894 - 5157794 = -55*c for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 1)*(-2*o + 1 - 1) + (-o + 2*o - 2*o)*(-1 + 2 + 0) - 7 + 7 + 3*o + 2*o - 3 + 3.\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 11*k - 30*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7803, 7802, 7801, 7800?\n\"Answer: -k + 7804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**4 + 7018565*w**3 - 2463044316200*w**2 + 22166830345680*w.\nAnswer: -5*w*(w - 701852)**2*(w - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*(3*sqrt(76) - sqrt(76)) + sqrt(76))*-4*-2)\/((sqrt(24) - (sqrt(1944) + sqrt(1944) + sqrt(1944)*-2))\/((sqrt(36)*1)\/sqrt(6))))**2.\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3005, 2973, 2915, 2819, 2673?\n\"Answer: -2*o**3 - o**2 - 15*o + 3023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 15. Is (k\/6)\/((-1)\/467) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kkkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f + f - 10 + 11 + 2*f + f**2. Determine w(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.02, 3, 23?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 433952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15\/23? (a) 4 (b) 2\/7 (c) 0.6874\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -7, 4, -598.\nAnswer: -598, -7, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5*j**2. Let r(u) be the second derivative of -u**4\/3 - 13*u. Calculate h(r(n)).\nAnswer: -80*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -1627\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*r**2 - 2212 + 4440 + 5*r**2 - 2228 + 6*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + o**2 - 1)*(28*o - 7*o**2 - 28*o) + (6*o**4 - 3*o**4 - o**4)*(1 + 1 - 3).\nAnswer: -9*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 208 - 212. Let w(p) = 8*p + 33. Let i be w(q). Let h = 10 + -14. Put 3, 0, i, h in descending order.\nAnswer: 3, i, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54 - 23. Does 6 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of 2*v + 0 + 114*v**2 + 17\/6*v**3 + 41\/24*v**4. Let f(p) = -7*p - 3. What is -34*f(k) - 6*z(k)?\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 128 and 224.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 - 2)*(0 - 2*v + 3*v + 6 + ((-1 - 2 + 4)*(-2*v - 2 + 2) + 0*v + 0*v + v)*(-16 + 35 + 9)).\nAnswer: 162*v - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1739*z = -33995 - 2524 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g = 41 + 43. What is the derivative of 4*k**4 + 46 - g*k**4 - 6*k**4 - 147 wrt k?\nAnswer: -32*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-9\/4)\/r**(3\/8))\/((r**11*r)\/(r\/(r\/(r*r\/((r*r**(-5))\/r))))) assuming r is positive.\nAnswer: r**(-61\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -37 + (-11 - -33) - (2 - (-3 + -2))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -91, -4\/13, 0.4, 1.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 9:37 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 12*j + 2179. Let o(u) = -14*u - 2255. Give -4*b(y) - 3*o(y).\nAnswer: -6*y - 1951","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3*181\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.3191 + -4.24. Let r = -0.0991 + p. Is 0.25 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s + 217 = -619. What is the remainder when 148 is divided by s?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/121 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -114*w**5 + 309217*w**4 - 2728*w**2 - 4058?\nAnswer: -6840*w**2 + 7421208*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k - 3. Give m(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -774445099 and -0.25?\nAnswer: 774445098.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(5\/9)*o**(-25)*(o*o**(-2\/15)\/o)**(-33) assuming o is positive.\nAnswer: o**(-907\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-6)*(2 + -12). Sort 6\/11, o, 12 in descending order.\nAnswer: 12, o, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73 times -27.7499\nAnswer: 2025.7427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 2:48 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k + 1. Let l be (-2)\/2 + 2 + 1. Let h(v) = -3*v**2 + 2*v - 2. Let i be 3\/(-6 - -3) - (19 - 13 - 8). What is i*h(x) + l*b(x)?\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1325249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/16938*208\/(-26). Which is bigger: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29399*u - 29403*u + 3*b = 7, 2*u - 1 = -3*b for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1233353*a**2*b**2*u**3 + 2*a**2*b**2 - a*b**2 - 67*a*b*u**2 + 2*a*u**3 + 26*a - 35*b wrt a.\nAnswer: 2466706*b**2*u**3 + 4*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 0. Suppose 0*d - 3*d + 4*t = 0, c = d - 3*t. What is the derivative of 2 + d + 0*l + 7*l - 4*l wrt l?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -94426\/15947 + 219\/37. Let q = 9479\/1293 - b. What is the common denominator of 23\/5 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = -27*q - 92 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*d**3 + 60*d**3 - 30*d**3)*(2 + 4*d + 1 - 1).\nAnswer: 8*d**4 + 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4905\/2475 - (-12)\/396*-6.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 596 is divided by 106?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4599333 and 782?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 2*d - 382, -j - 5*d + 18 + 55 = 0. Let v = j + -98. Solve -3*f = -12, -3*x + 5*x - 3*f + 14 = v for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 6*t**2 + 6*t + 4. Suppose -7 = -3*n + 11. What are the prime factors of h(n)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 788*l - 62493. Give p(89).\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 680 a factor of 3580880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -207*g + 1242, -993 = 4*x + g - 999 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 12:40 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 362 divided by -5\nAnswer: -362\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 168\/7691?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/(f**(-1\/4)\/f))**27)**(-50))**(2\/169))**50 assuming f is positive.\nAnswer: f**(-303750\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*c + 42 = x + 38*c, -51 + 127 = 21*x - 3*x - 4*c for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 6:19 AM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 2*d**2 + 7*d + 11. Suppose -18*s + 22*s - 124 = 35*s. What is q(s)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4600*s + 440 - 9*s**2 + 4600*s - 1202 as p*s + w*s**2 + u and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-238)\/(-2023) - (-37)\/119?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 - 59*g**2\/4 - 5*g + 525.\nAnswer: (g - 10)**2*(4*g + 21)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/(-8))\/(1\/(-2)). Suppose 44 = r - 4*c, -r - 3*c = 2*r - 132. Suppose -r = -j*p - p. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 4*x + 5. Let d = 2375 - 2381. Calculate a(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -3*k - 135. Let h be ((-16)\/k)\/((-18)\/(-105)). Solve -h*i**2 - 3*i - i**3 - 2\/3 = 0 for i.\nAnswer: -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-52)\/32 + 2 - 531\/120 and 2*(-8)\/(-22)*-4?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (156\/(-104))\/((-2)\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.033511 hours in microseconds?\nAnswer: 120639600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**3 - 17225*b**2 - 74235407*b - 518804167 = 0?\nAnswer: -8609, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/2)\/((-2)\/(-12)). Suppose -s*a - o + 3*o + 31 = 0, 0 = 3*a + 3*o - 51. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -1, -2146, -3 in ascending order.\nAnswer: -2146, -3, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9438 + 9438. Solve -24*s - 42 - 126 = c for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 2:49 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9627688 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 3*g**2 + 6. Let x be u(-3). Let n be 105\/(-98) - (-9)\/x. Put -3, n, -0.4 in descending order.\nAnswer: n, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.8946041 + -119.1064399. Let b = a + 120. Round b to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 410 and 4.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 6*h + 4*r - 12 = 0, 0 = r - 3. Suppose h*g - 3*g + 4 = -2*n, 3*g = -5*n + 11. Calculate the greatest common factor of 16 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 3)*31\/(-279)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/50781451 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s - 1. Let z(u) = -20*u - 29. Let i(r) = 3*h(r) - z(r). Is 45 a factor of i(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -6 + 17 + -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 2 = 2*p, 3*s - 10 + 8 = 2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 5*f + 0*f - 2*f**2 - 5*f. Let m(i) = -8*i**2 - 8*i**2 + 3*i**2. Determine t(m(p)).\nAnswer: -338*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 329*d**2 - 21657*d - 242. Give n(238).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*n - 43. Let s(g) = -4*g - 63. Calculate the remainder when 16 is divided by s(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1405, 3, -7, 4, 39 in increasing order.\nAnswer: -1405, -7, -2, 3, 4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - 2*2*sqrt(136))*-1)\/((sqrt(200) + (sqrt(200) - (sqrt(200)*-2 + sqrt(200))))*1).\nAnswer: sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37\/31763 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/5 + 12768*j\/5 - 948177.\nAnswer: -3*(j - 3845)*(j - 411)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*q + 630 = -23*q + 48*q for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 8. Suppose -k = -2*t - 2. Suppose 0 = 3*h - 6 - 0. Solve -3*i - 19 = t*z, -z + h*i = 6*i + 17 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7262887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 2:24 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -60\/896803 or -1?\nAnswer: -60\/896803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30494\/823 or -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 - 807*t**2 - 28680*t - 274800.\nAnswer: -3*(t + 20)**2*(t + 229)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 448430 to the power of 1\/2, to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8\/((400\/130)\/5)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m - 1. Suppose 4*p = p - 12. Let q be o(p). Suppose q*w = -2*w + 155. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9165 by -96.\nAnswer: -3055\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, t: 2, r: 2}. Give prob of picking 2 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 215\/(-19) + -2. Let j be (32\/(-14) - -2) + (333\/666 - (-342)\/(-28)). Which is smaller: j or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110199607 is divided by 229?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z + 144 = 21*z - 20*z for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 694.\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -775 + 773. Let j = 5 - 11. Which is the nearest to j? (a) 1\/6 (b) -0.4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-850)\/(-680))\/((-1)\/(-4)). Solve -11 = -3*y - c*s, -14 + 5 = -y - 3*s for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(133) - (sqrt(133) + 3*sqrt(133) + sqrt(133))))\/((sqrt(224)\/sqrt(4))\/sqrt(8)).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18505, -38805, -59105, -79405, -99705, -120005?\nAnswer: -140305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -926094, -926097, -926100, -926103?\n\"Answer: -3*p - 926091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/4 - 793431\/36. Let w = 11465 + m. Let n = 2676 + w. What is n rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -a1?\nAnswer: a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1204300 and 397117925?\nAnswer: 1588471700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 11:46 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -2\/89 (c) -13\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-111)\/81 + 2156\/1617?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1167555559?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 0 + 2 + -2 + 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6\/5 of a hour?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 459.\nAnswer: 2\/459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 2913\/5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17700, -17698, -17696, -17694?\nAnswer: -17692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57477 - -8966357\/156. Find the common denominator of -38\/195 and c.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - l - 9 - 0, 2 = -2*l. Let t = s - -13. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 753797180.\nAnswer: 2, 5, 269, 140111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63282, 126608, 189936, 253266, 316598, 379932, 443268?\nAnswer: 506606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j - 47*j**3 + 10*j**2 + 6*j**2 - 43*j**3 - 57*j**3 - 13*j**2. Determine z(-1).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 500\/661 - 8248653\/5288. Let i = w + 1567. Let r = -5371\/2 - -2636. Calculate the common denominator of r and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + ((2 + 0)\/2 - 0). Suppose 5*b - 15 = 4*h, 5*h + 0*h + 30 = -i*b. Let y(c) = 7*c**2 - 1. Determine y(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 19. Let p be 2\/v - (-2)\/(-11). Suppose -5 = 5*s + 5*l, 2*s + l - 3 = -p*l. Solve b + 12 = s*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 - 44. What is the nearest to v in 1, -0.2, -7\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-242055)\/3586*3\/(-81)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*o + 1 - 679*o + 196*o + 236*o.\nAnswer: -87*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1 + sqrt(242) + sqrt(242) + 0 + sqrt(242) + 3 + sqrt(242)*2 + 1 + (-1 + -2*sqrt(242) - sqrt(242)))**2.\nAnswer: 88*sqrt(2) + 971","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1295, -2591, -3887, -5183, -6479?\nAnswer: -7775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 7*w**3 - 49*w**2 - w + 24. What is h(4)?\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -322 = 2*s - 3*l - 332, 4*s - 9*l = 26 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1162 is divided by 157.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.4 (b) 2 (c) 533 (d) 1 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.2 (b) 5\/2 (c) -23.85 (d) 20 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + ((-6150)\/(-25)*1)\/20.\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 1:50 PM?\nAnswer: 12:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-21)\/44)*(-60)\/80?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21344244 by -6.\nAnswer: -3557374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.046 - -0.146. Let o = 50.95 + -49. Let u = o + 0.05. What is the nearest to u in v, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 250603 and 250602 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddsdsss. What is prob of sequence ssdd?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-16163)\/(-14) + -1)\/(6\/4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 10*x**2 - 9*x + 1. Let c be n(9). Suppose 5*v = -c + 6. What is the derivative of 2*g - 8*g - 3 - 3 - v wrt g?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/9 - 4\/18.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1804 by 41.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1190.428 - -91244.588\nAnswer: 90054.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90153?\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x**2 + 3*x**2 + x**2 + (119*x + 851 - 851)*(15*x - 1 + 16*x - 33*x) to z + n*x**2 + m*x and give m.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.17788 in -0.4, 3, -26, 2.4, 6\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 119*n - 3327. Let u be f(28). Solve -2 = 2*g + 4*v, -3*g + u*v - 6 = -3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 0*k + 60. Let g be -4 - 4\/(8\/k). Sort g, -1, -3 in descending order.\nAnswer: g, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35869618 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -23769*l + 23767*l, -4*l = -24*s + 332 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 66*h - 138*h + 68*h. Let s(o) = 27*o. What is s(y(q))?\nAnswer: -108*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10 + 2 - 7 - 26. Let d be 12460\/(-6)*27000\/b. What is d rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**2. Let y(r) = -702359*r**2 - 16*r. Give y(s(d)).\nAnswer: -2809436*d**4 + 32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -3. Let x be 8 + (3 - (u - 2)). Solve x*j = 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -c - 2, 22 = 2*c + c - 5*f. Suppose c*s - k - 477 - 56 = 0, 5*s - 676 = -2*k. Is s a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (451*a**2 - 2*a - 192*a**2 + 1361 - 1358)*(-a**2 + 4*a**2 + 0*a**2) to the form b*a**2 + h*a**4 + c*a + z*a**3 + k and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-41)\/(2706\/176))\/(2\/6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of 23*f**5\/20 - f**4\/6 - 34*f**3\/3 + 8*f. Find the second derivative of p(a) wrt a.\nAnswer: 138*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*d**2 - d**2 + 3*d**2)*(-4*d - 3*d + 5*d) - 16*d**3 - 15 + 15 in the form q*d**3 + z*d + y + m*d**2 and give q.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 - (18 - (44 + -38))) + (72 - 2)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**6)**3 assuming v is positive.\nAnswer: v**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -3\/14 (c) -5 (d) -0.75\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**3 + 2138*d**2 + 1960*d**2 - 2 - 4391*d**2.\nAnswer: -4*d**3 - 293*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -6*a + 1218. Let c(o) = 2*o - 611. What is -5*c(q) - 2*w(q)?\nAnswer: 2*q + 619","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1514 - -1513.98. Let d = -0.76 - 0.26. Let h = d - u. What is the closest to 1 in h, 0.5, 1\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.016 + -0.326. Let k = 0.01 + f. Which is the second smallest value? (a) 0.2 (b) 5 (c) k (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7176)\/(-8320) + 8\/(-10)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -511*w + 514*w + 3 = 0. Let y be (w\/12)\/(36\/8964). Is y at least as big as 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -20*x + 36 - 32*x**2 + 12*x + 0 + 92. Let l(n) = 11*n**2 + 3*n - 43. Let c(a) = -3*h(a) - 8*l(a). Differentiate c(b) with respect to b.\nAnswer: 16*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1982266 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -435184 <= -435184?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 355*q**3 + 88*q**3 + 141*q**3.\nAnswer: 584*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 75 = -3*r, 0 = 21*r - 23*r + 3*f - 50. List the prime factors of (-37240)\/r + (2 - 32\/20).\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191124.\nAnswer: 2, 3, 5309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = -2*w. Suppose -4*n = -j + 10, -2*j + 3*n = w*j - 1. Let p = 1686.7 + -1686.7. Which is the nearest to 0? (a) 3\/10 (b) p (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -47, -118, -235, -398, -607, -862, -1163?\n\"Answer: -23*b**2 - 2*b - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 6*r - 3. Let a = -10 - -5. Let c be q(a). Let s = -1828 + 1833. Solve 0 = d + c*f + f - 15, -s = -3*d - f for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -646*t - 550 + 1778 + 2002 = 0. Let 12\/5*i**4 - 12\/5*i**3 + 4\/5*i**t - 44\/5*i**2 - 24\/5*i + 0 = 0. What is i?\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 6*i = 0. Let m(s) be the second derivative of i*s**2 - 1\/6*s**3 + 0 - 1\/20*s**5 - 2*s + 5\/12*s**4. Determine m(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**4 - r**3 + r**2 + r. Let n(v) = 2*v**5 - 4*v**4 + 2*v**3 - v**2 - v. Let y(t) = 2*a(t) + 2*n(t). Suppose y(w) = 0. Calculate w.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hx when two letters picked without replacement from lhggghgxlghxl?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 d when three letters picked without replacement from mpdjdddddddg?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (20\/6)\/((-8)\/(-12)). Suppose n*z + 29 = a + 2*a, 4*z + 16 = 0. Solve 0*r - 5*r = -4*i - a, -r + 1 = -i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = s - 23, -y - 75*s - 4 = -73*s for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ogogosgoosgosgos. What is prob of sequence os?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1618726 is divided by 163.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -129 - -130.11. Let b = i - 0.27. Round b to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -3. Suppose 3*t = -2*w - 18, s*w = 3*w + t + 13. Sort 0, w, -1 in descending order.\nAnswer: 0, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*a + 161*a - 261*a = -562 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -27510842 less than -3?\nAnswer: 27510839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -10894*n**2 + 74 + 23 - 97 as g*n**2 + o*n + m and give g.\nAnswer: -10894","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 3. Let s = -15643 - -15642. Put y, 0.03, s, 2\/15 in increasing order.\nAnswer: s, y, 0.03, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w + 4*w + 1430. Let l = w + 233. Calculate the highest common divisor of l and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 1 = q. Suppose -3*i - 15 = -2*p + 7, 0 = 4*p + 2*i - q. Suppose 4*j - 36 = -5*w, -p*j + 24 = 3*w - 2*j. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 961 = 4*f - q, -481 = -2*f - 0*q + q. What is the highest common divisor of 96 and f?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 41*f + 116. Let p be z(10). Let d = 325 + p. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*w + 16. Let z(f) = -5*f**2 - 3*f + 6. Let m(b) = 6*b**2 + 4*b - 7. Calculate w*z(v) + 3*m(v).\nAnswer: -2*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/3 and 31\/223401160.\nAnswer: 670203480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of p**10\/420 - p**6\/90 - 3*p**3 + 8. Let r(k) be the third derivative of n(k). What is the third derivative of r(l) wrt l?\nAnswer: 1440*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1233630 is divided by 144.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.7, 3, 0.04 in decreasing order.\nAnswer: 3, 1, 0.04, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -8410*o**3\/3 + 435*o**2 - 45*o\/2 - 527. What is s in d(s) = 0?\nAnswer: 3\/58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1895167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 12\/7*d**4 + 270\/7*d + 312\/7*d**3 + 564\/7*d**2 - 6\/7*d**5 = 0. Calculate d.\nAnswer: -5, -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66220099.\nAnswer: 11, 1031, 5839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Put -14, -3, -4, -2, -80, 5, -48 in ascending order.\nAnswer: -80, -48, -14, -4, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 + n**2 + 0*n**2)*(-1 + 0 + 0)*(1 + 2 - 1).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.28 + 7.51. Let u = c - 62.83. Round u to the nearest integer.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 678*l + 17 + 166*l - 6 to j*l + p and give j.\nAnswer: 844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 21, -215\/4, -2\/67?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 5*y**2 + y + 7. Suppose 3*o - 22 = -43*l + 48*l, -3*l - 6 = 0. What is s(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -314 - -531. Suppose -a - 5*u + 37 = 0, 4*a - 2*u = u + s. What is the remainder when a is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of 1\/4*k**5 - 4*k**2 + 0*k**4 + 2 + k**3 + 14*k. Let v(f) = -2*f + 0*f + 0 + 3 - 2*f**3. What is -8*v(w) - 3*y(w)?\nAnswer: w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -795 + 885 = 6*q for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78)\/5265*3*(-1)\/((-6)\/(-10))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - v + 0*v)*(-5*v**2 - v**2 + 3*v**2) - 2*v**3 + 0*v**3 + 4*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0*n - 4 - n.\nAnswer: -n - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2555 less than or equal to -2555?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 415.78432 days?\nAnswer: 59.39776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 + 0*g**2 - 2*g**2 - 6*g**2.\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*s = 100*s + 1440 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 2*n**2 + 11*n. Let r(y) = 2*y**3 + y**2. What is the remainder when b(-6) is divided by r(2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, m: 2, i: 2, x: 3, s: 6, t: 5}. What is prob of picking 1 s, 1 m, and 2 x?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1039, 1040, 1043, 1048, 1055?\nAnswer: 1064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, x: 2}. What is prob of sequence xm?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -8. Let b = 1\/103 - -203\/309. Let x = 43 + -41. What is the nearest to x in f, b, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/4*(-184)\/2. Suppose 2*o + g = 2*s + 3*s, s - 4*o = 23. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -41*r + 2. Let j(s) = -s**2 - 44*s**2 + 4*s**2 + 5*s**2 + 27*s**2. Determine g(j(n)).\nAnswer: 369*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2bdd4 (base 14) in base 16?\nAnswer: 1acb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105, 214, 313, 396, 457, 490?\nAnswer: 489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -695*k**2 - 627*k + 626. Determine p(1).\nAnswer: -696","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 7*x - 3*j + 7 = 0, -2 = -2*x - 1108*j + 1104*j for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1754\/305745 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 1 = 2*a + l, -1 = -l. Let y be 135\/60 - (-1)\/(-4). Sort a, y, 5 in decreasing order.\nAnswer: 5, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 1. Let j(l) = -30*l - 1. Let w(i) = -j(i) - 2*o(i). Let a(h) = h**2 + 2*h - 5. Let r be a(-4). Is w(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 543 + -95. Suppose -5*z = o - 1748. Suppose -3*a = 3*v - 360, 5*a - 3*a = 3*v + z. What is a rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76363.\nAnswer: 7, 10909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1117\/237 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -18308*y**2 + 2*y + 4. Let l(h) = -7*h. Determine l(b(c)).\nAnswer: 128156*c**2 - 14*c - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s - 4. Let f be 1*2*(-25)\/10. Let l be b(f). Let p = 82 + -491\/6. Which is bigger: p or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 83 and 1232219.\nAnswer: 1232302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 6. Let l be 69\/(-15) + (-9)\/(-15)*y. Let t = 13 + l. Calculate the lowest common multiple of 12 and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243214 (base 6) in base 13?\nAnswer: 9a03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 31, 73, 129, 199?\n\"Answer: 7*a**2 + 21*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -1 - (427 - 488) - 55.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, x: 2, l: 5}. What is prob of picking 2 x and 2 l?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -555414 (base 6) to base 14.\nAnswer: -12da2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 8*v**2 + 11*v - 1. Let u be n(-6). Let q(c) be the first derivative of 0*c + 2*c**2 + 13\/3*c**3 - u. Find the second derivative of q(a) wrt a.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-6)*(1 - -1). Let h = 71008\/9 - 7858. Let r = 2008\/63 - h. Which is the closest to j? (a) -5\/4 (b) -3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 282511452 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -18 + 58. Suppose 3*k - o = k. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**2 + 84469054*n + 84469056 = 0. What is n?\nAnswer: -1, 42234528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000669127 to 7 decimal places.\nAnswer: -0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 879510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54 or -43?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 114 + 90 = -3*g, 0 = -2*g + 5*r - 7 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -h**4\/12 - 7*h**3\/6 - h**2\/2 + 4*h. Let a(o) = -o**2 - 8*o - 1. Let f(q) = -5*a(q) + 6*w(q). What is l in f(l) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-4)\/(-48)*8\/(-30).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-40)\/1216*9*26\/6. Let j = -22\/19 - w. Which is the fourth smallest value? (a) -2 (b) j (c) 1 (d) 21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + 7*z + 25, 17*s + 0*z + z = -100945 + 100924 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 1:58 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llmlllldmdkrd. Give prob of picking 1 d and 1 m.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -16. Let u(b) = b**2 + 7*b + 2. Suppose 2*x = o + 78, 0 = x + o - 12 - 21. What is the remainder when x is divided by u(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than -218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.14546l to millilitres.\nAnswer: 68145.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-228)\/30 - -7) + 26\/10. Suppose 5*b + 3*g + 15 = 200, -3*g = 3*b - 111. Suppose 2 = 3*i - b. Solve 2*f = -2*f - a - 1, -z*a - i = -3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**6\/60 - b**5\/60 + b**4\/8 - 2*b**3\/3 - 5*b**2 + 88*b. Let l(f) = -3*f**3 + 2*f**2 - 4*f + 5. Give -3*l(d) - 4*s(d).\nAnswer: d**3 - 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 33256499567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**2 - 8*r + 13. Is u(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 + -43 + 30 - (-72 - (-11 - 0)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 6*i + 3. Let l be f(-6). Let h be l + 0 + (-3 - -1). Solve 4*z + h = -3, 3*r - 3*z + 12 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*(sqrt(19) + -2)*1 - sqrt(304)*-3*5)**2.\nAnswer: -146104 + 992*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 4\/5, -1\/5, -48, 0.0253, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -37 (b) 4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n**5 + 3*n**4 + 38240*n**2 - 771*n + 4552?\nAnswer: 40*n**3 + 36*n**2 + 76480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-282)\/(-376) + (-2718)\/1080 + (-1)\/(-6)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o - o + 3*o)*(6579*o**4 - 21312*o**2 + 21312*o**2).\nAnswer: -13158*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + sqrt(20)\/sqrt(4) + 3 + sqrt(5) + sqrt(5) - (sqrt(80)\/sqrt(4))\/sqrt(4).\nAnswer: 3 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -81, 3, -6\/4003 in descending order.\nAnswer: 3, -6\/4003, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 800519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13\/(208\/588) - (-2)\/8. Suppose o*k = 38*k + 3. Let w be 3\/(-2) - (-1)\/(-2). Sort w, 5, k, 4.\nAnswer: k, w, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 1561 - 2891 = 0. Let i = 640 - b. Solve -12 = -3*f - 2*o, 0 = -f - 2*o + i*o - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 6, p: 1, y: 4}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + -1 + 4 + 19\/380*0. Let u = 0.5 + -0.1. Which is the third smallest value? (a) 0.3 (b) -0.5 (c) y (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 6*r = -84. Suppose 3*d + b - 22 = 0, -4*d + r = -2*b + 3*b. List the prime factors of -2 - (d + -4 + -66).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1648\/(-8652))\/(2\/(-49))?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddoxwowxxwoowjow. Give prob of picking 1 j and 2 o.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = b, -q = 4*b + q. Suppose b = z - 133 + 44. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 365*h + 56154 = -262*h + 2232 for h.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 2*g. Let d be y(2). Let x be (-2 - (2 + d)) + 0. Let u(p) be the first derivative of -3*p**2\/2 - p - 11225. Determine u(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/2659 + -2677\/15954. What is the closest to -3 in k, 5, -13?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/10)\/((-1170)\/(-2925)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 6) to base 15.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 3374410?\nAnswer: -3374407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/23824 and 4\/72961?\nAnswer: 1167376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4335 and 180?\nAnswer: 52020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 8:39 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -254 in -0.5, 0.5, -0.7, -7\/5, 0.4?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01032 and -58.\nAnswer: -0.59856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -s - 9, 3*s + 6 + 9 = 5*g. Let i(v) = 3*v + 2*v - g*v. Let h(t) be the third derivative of 13*t**4\/6 - 2107*t**2. What is h(i(u))?\nAnswer: 104*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7293, -2, 329.\nAnswer: -4, -2, 329, 7293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 372 and 1240.\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ypmynnynayyy. Give prob of picking 1 n and 1 a.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 4:03 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 147020684402292 and -8.\nAnswer: 147020684402284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2716843 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.0296, -4\/5, -1.7498?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and 651410?\nAnswer: 651411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/9 and (2\/(-6))\/(10\/470)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 23*v**2 - 23*v + 18. Let u be d(-24). Do -53\/8 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09 + -1756.2.\nAnswer: -1756.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(10)\/sqrt(5)) + sqrt(12)\/(sqrt(6)*3 - sqrt(6)).\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 - 4920536*k + 1513229657956.\nAnswer: 4*(k - 615067)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1550.30537 to the nearest ten.\nAnswer: 1550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {k: 3, t: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 351461, 351598, 351721, 351824, 351901, 351946?\n\"Answer: -c**3 - c**2 + 147*c + 351316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -118 - -4. Let k = 715 - 906. Let q = i - k. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-20))\/d**(1\/30))**(-20) assuming d is positive.\nAnswer: d**(-1258\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-9\/4)\/n*(n**(3\/4)*n)\/n*n)\/(n**(-1\/10)*n\/(n\/(n\/(n\/n**(-4))))) assuming n is positive.\nAnswer: n**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of v**2*y**3 + 8396*v**2*y**2 + 2*v**2*y + v**2 + 3*v*y**3 - 8*v - 110*y**3 - 9*y**2 - 2*y wrt v.\nAnswer: 2*y**3 + 16792*y**2 + 4*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -266178.3418 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q + 19*q - 5 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 31.8229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5319.757 tonnes in micrograms?\nAnswer: 5319757000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/5 + 854*b**2\/5 + 8651*b\/5 - 9504\/5.\nAnswer: -(b - 864)*(b - 1)*(b + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + x**2)*(-4*x + 4399 - 3285 + 12615 + 3*x) + (-4*x**2 + 4*x**2 + x**2)*(0 + 2*x + 0) in the form y*x**3 + l*x**2 + b + v*x and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 83*p - 84*p + 4. What is the hundreds digit of 3 + p\/(-7 - -5) + 890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5\/39 + 23\/429. Let l = 1 - 1.2. Let q = 40 - 42. Put q, b, l in decreasing order.\nAnswer: b, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0455? (a) 4 (b) 0.1 (c) -19 (d) 5 (e) -3 (f) 0.85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11367 + 2*r + 582*r**3 + 11367 + 11366 - 2*r - 34101.\nAnswer: 582*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*o + 8. Suppose 4*m - 1 = -2*y + y, -2*y = o*m - 2. Solve -3*r = 3*a - m*r + 27, 5*a = -3*r - 35 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a kilometer in meters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 - -39. Is -2\/69 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -40*o**3 + 4*o**2 + o + 2. Is 8 a factor of n(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1*sqrt(76)*-1*4)**2.\nAnswer: 1215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.5 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of c**8\/20160 - c**5\/10 + 7*c**2. Let l(g) be the third derivative of q(g). Let i(j) = 2*j**2. What is i(l(d))?\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56 + 55.6. Which is the closest to -1? (a) l (b) 4 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 604.1115 rounded to the nearest ten?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 14 = -2*r, 2*f + 2*r + 2 = -6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 128012 and -90 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-12)*(-4)\/((-40)\/(-15))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021 - 120?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1229 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**3 + 13*x**2 + 6*x + 2. Let s be a(-6). Calculate the greatest common factor of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86720939 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 11. Suppose -6*j = -1207 + 1099. Suppose j*l - 1135 = -1189. Sort l, s, 6, -5 in increasing order.\nAnswer: -5, s, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 334625, 334781, 334937, 335093, 335249?\nAnswer: 335405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*d - 51*d = 22600000. Round d to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 69*i + 201. Determine a(-6).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 33*f + 150. Let s be j(28). Suppose s*h + 1106 = 16286. List the prime factors of h.\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 3*m + 5 = -1, 10 = 5*i + 5*m for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 8:25 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a day in minutes?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/(-49)*-2*(-7)\/(-3). Let v = -71 - -69. Which is the third biggest value? (a) 9 (b) v (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 2. Let l be u(2). Is 5*((2 - (l + -15)) + 3) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101044 is divided by 11172?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -297, -539, -781, -1023, -1265?\n\"Answer: -242*x - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1093 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 6*v + 2648 = v, 3488 = 4*w + 4*v. Let h = -505 + w. List the prime factors of h.\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 45, 89, 141, 195, 245?\nAnswer: 285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -2 (c) 231 (d) 211\/6 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16254227*v**3 + 32352269*v**2.\nAnswer: 97525362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4*(sqrt(2057) + sqrt(2057)*1 + sqrt(2057)) + (sqrt(2057) - (sqrt(2057) + -1 + sqrt(2057) + -1) - sqrt(2057)))**2.\nAnswer: 2200*sqrt(17) + 1028520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -c**6\/90 + 31*c**3\/2 - c + 109. Let m(r) be the second derivative of v(r). Give m(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - ((8 - 5) + 8)) + (-19 - 2).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 7 + 43 = 0. Let b = 10 + t. Let h = 21 + b. Calculate the smallest common multiple of h and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 2c088db?\nAnswer: 2c08900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 5*m - 15. Let s = m + 47. Suppose s = 4*i - 8. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 7.2, 0.4, -15, 2\/13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 149565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 10*r**3 - 10*r**2 + 15*r - 45. Calculate the remainder when x(4) is divided by 62.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 10*s + 18. Calculate x(4).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1831, 1832, 1833?\n\"Answer: h + 1830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 20 = -5*w - 64, -4*q - 12 = 0. Let n(h) = 4*h - 8*h**2 - 1 + 8*h**2 - 9*h**2 + 10*h**2 + h. Calculate n(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 133, 134, 135, 136, 137, 138?\n\"Answer: r + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9600 or -9606?\nAnswer: -9606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 255003293*x - 199602746 with respect to x.\nAnswer: 255003293","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - n - 4. Suppose 79*q + 0*q = -51*q - 650. Give w(q).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fjdw when four letters picked without replacement from hjwdodfoh?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -52689 (base 10) in base 12?\nAnswer: -265a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35939200?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sx when two letters picked without replacement from {l: 3, i: 1, s: 2, c: 1, x: 6}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g + 2. Let m(d) = -3*d + 5. Let i(x) = -2*m(x) + 5*s(x). Let u(y) be the first derivative of 5 - 5 - y**2 - 2. Give i(u(z)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 81.0791 centuries?\nAnswer: 810.791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x = -v - 198, -111*x + v - 110 = -106*x for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1691*h**2*t**4 - 2521*h**2*t**2 - 17184548*h**2 wrt t.\nAnswer: -6764*h**2*t**3 - 5042*h**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 829444 a multiple of 299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 210 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 2*w - 16. Let i(l) = 20*l**2 + 29*l - 5. Let f(a) = 7*a**2 + 10*a - 2. Let r(s) = -17*f(s) + 6*i(s). Calculate r(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11931987 and 87?\nAnswer: 346027623","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.62084 rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 24 = -5*s. Suppose -2*t = -o + s, 2*o - 7 = -2*t + 7*t. Let j = -7576 - -7675. What is the highest common divisor of j and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1406*t + 1407*t - 6*n - 43, -2*n - 16 = -2*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272058357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-20) - 272\/(-280). What is the second smallest value in 2\/5, -6, 5, j?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 8:34 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1989, -4025, -6061?\n\"Answer: -2036*c + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 2:46 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 47 - 1)*(-4*a**2 - 5*a**2 + 4*a**2)*(-1 - a + 1).\nAnswer: 95*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1173050 is divided by 40448.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/9 and (-2 - (-1173)\/1890) + (-1)\/7.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.4 (b) -2\/3 (c) 0.3 (d) 2\/9 (e) 8734\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*619.9\nAnswer: -309.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6392*w - 95 + 15763*w - 9375*w.\nAnswer: -4*w - 95","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(336) - (sqrt(336) - -3*sqrt(336)) - sqrt(336))\/sqrt(12) + sqrt(28))\/((sqrt(140)\/sqrt(5) + sqrt(28))\/sqrt(7)).\nAnswer: -3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 737205 and 38940.\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 3726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -66 + 62. Which is smaller: l or 15?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 57*h**3 - h**2 + 3*h - 2. Let k = 20 - -10. Let y = k - 29. What is the tens digit of a(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1686 + -3067. Which is bigger: -1370 or g?\nAnswer: -1370","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*t - m, t + 3*m = m - 2. Suppose -3*c - 81 = -t*c. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -20*x**4 - 1285*x**3 - 2800*x**2 - 620*x = 0.\nAnswer: -62, -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 m when two letters picked without replacement from ggmggggfcgycgymffgdc.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (17 + 0 - 18) + -16.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -4. Let q(r) = 43*r**2 + 15*r**2 - 4 + 2*r**2 - r + 4. What is the units digit of q(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26\/3 + 8. Let o(v) = -v + 21. Let y be (28\/(-42))\/((-2)\/60). Let p be o(y). Which is the closest to p? (a) h (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -517966877\/5 or -103593374?\nAnswer: -517966877\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113 (base 4) to base 10.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 107998953.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.353 in -167, 18, -5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 63575 divided by -1?\nAnswer: -63575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 51757.24721 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 185.5 - 180.6. Let o = 41857950 - 41857954.9000051. Let q = o + u. Round q to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 0 + 6 + -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(60) - (sqrt(240)\/(sqrt(4)*-1) + sqrt(60) + sqrt(60)))\/sqrt(4))\/(sqrt(12)\/sqrt(4)*-2 + sqrt(36)\/(sqrt(96)\/sqrt(8))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (3 - 3) - (5 - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2*s + 2 + 106*s**3 + 3*s.\nAnswer: 106*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, 1336, 0, -161 in increasing order.\nAnswer: -161, 0, 53, 1336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oggoohoguuokokgu. Give prob of sequence hg.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*v**3*w**3 - 3*v**3 + 14792*w**4 + 56*w**2 wrt w?\nAnswer: 12*v**3 + 355008*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 855 - 853. Suppose -5*t + 5 = -2*j, 4*t = -t + 5. Suppose 6*p - 2*p - 4 = j. Solve f - u = p for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 48 = c. Let y(h) = 2*h + 21. Let b be y(c). Let x(r) = 11*r**2 + 3*r + 1. List the prime factors of x(b).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-3 + 3 + -1). Suppose r*u = -u - 3. Let g(m) = m**2 + m + 1. Let b(i) = 12*i**2 + 3*i + 4. Let s(w) = b(w) - 4*g(w). Determine s(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d + 1. Suppose -20*b + 17 + 31 = -32. Let n(j) = 9*j - 3. What is b*n(v) + 11*t(v)?\nAnswer: 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -r**7\/105 + 4*r**6\/75 - r**5\/10 + r**4\/15 + 82*r. Factor b(q).\nAnswer: -2*q**2*(q - 2)*(q - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*u - 6 = -54*u. Let o(q) be the second derivative of 0 - 1\/6*q**3 + u*q - 5\/2*q**2. Determine o(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -6*f**5\/5 + 5*f**3\/3 - 7. What is the third derivative of s(c) wrt c?\nAnswer: -144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1865 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**2 - 273960*u + 63289600 = 0 for u.\nAnswer: 232, 54560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 569? (a) -2 (b) 0.6 (c) 0 (d) 1648\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -115 (base 8) to base 12\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 8*s + 6. Let r(u) = -2*u**2 + 17*u + 13. Let b = -20 + 7. Give b*l(o) + 6*r(o).\nAnswer: o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 0 + 14 = o, 3*b - 5*o + 34 = 0. Let p be 10\/b*12\/10. Let s = -0.073 - 0.327. Sort -2, p, s in decreasing order.\nAnswer: s, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*4\/192 - (-53)\/(-60). Which is the closest to -2? (a) 2 (b) -0.5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -6*(sqrt(1053) + 2)**2)*-2.\nAnswer: 432*sqrt(13) + 12680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 659862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-3))\/((-2)\/(-18)*3). Put -1, 3, u in ascending order.\nAnswer: u, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5\/2, -2, -168.9 in increasing order.\nAnswer: -168.9, -5\/2, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4656233 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: Calculate the remainder when 16447 is divided by 2347.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from elllllllele. Give prob of picking 1 e and 1 l.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 9*o + 1. Let w(g) = -19*g - 3. Determine -3*w(u) - 7*x(u).\nAnswer: -6*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -b846dc5?\nAnswer: -b846dc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -68.929 * 0.05.\nAnswer: -3.44645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3*(-3115)\/15 + -4 + 5?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-4\/9)\/i)\/(i**1*i))**(-10)\/((i**(3\/5)\/(i\/(i**3*i)))\/(i**(-2)\/((i**6*i)\/i))) assuming i is positive.\nAnswer: i**(1028\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(2\/3))**15)**(1\/15))**(3\/28))**(-2\/47) assuming y is positive.\nAnswer: y**(-1\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-90)\/14 - (-3)\/7. Let b(n) = n**3 + 6*n**2 + n. Let w be b(k). Let u(r) = -2*r - 6. Give u(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from ggingsignd?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: What is the hundred thousands digit of 1632278?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - (-18 + 64) - -9.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000033997052 rounded to seven decimal places?\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o - o + 0*o)*(-5 + 4 + 2) + 357*o - 192*o - 264*o to the form z*o + u and give z.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1303610864?\nAnswer: 2, 17, 569, 8423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*b = 27*b - 4, -2*b - 43 = -3*w. Let n be 2 + (-1 + 2 - -1557). Suppose -w*v - 208 = -n. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1937 - 0.3.\nAnswer: -0.4937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 25*c**2 + 5*c + 17. Let j(v) = -37*v**2 - 8*v - 25. Let m(b) = 5*j(b) + 8*o(b). Differentiate m(k) with respect to k.\nAnswer: 30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-4*sqrt(162).\nAnswer: 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k. Let h(m) = 4*m - 4*m - 3*m + 4*m. Determine h(s(q)).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 5 = -0*i + i, -5*i + w = 6*w - 10 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 510001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26233*r**2 + 26234*r**2 - 52422*r**2 - 2.\nAnswer: 45*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49699?\nAnswer: 13, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1698670249 - -39.\nAnswer: -1698670210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4449, -2\/25, -3 in ascending order.\nAnswer: -3, -2\/25, 4449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + 16. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjppipljwjwjwri. What is prob of sequence plw?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -80*y**2 + 4*y - 4. Let n(s) = -81*s**2 + 5*s - 5. Calculate 4*n(g) - 5*z(g).\nAnswer: 76*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 216887, 216901, 216915, 216929, 216943?\nAnswer: 216957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 568 is divided by (-2 + -3)*-9*5\/15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 = -3*p + 616. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5397462*b**3*p - 2*b**3 + b**2*p + 59859*b*p - 1151 wrt b?\nAnswer: 32384772*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3295 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -s**5\/16 + 15*s**4\/8 - 20*s**3\/3 + 491*s. Determine f, given that q(f) = 0.\nAnswer: 0, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 4*w**2 - 1723648*w - 125847620 = 0?\nAnswer: -73, 430985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 + 134 - 28 - 38 - 2*w**2 + 5*w**4 + 162 as h + b*w**2 + r*w**3 + g*w + n*w**4 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/(104\/108) - (4 + -2) and 55\/3.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 10494130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -50*a**2 + 1. Let d be f(1). Let r be (-2)\/4*(13 + d). What is the greatest common divisor of r and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1006 + 14356.8126.\nAnswer: 15362.8126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**0\/s)\/s**(-2\/13))\/(s**(-1\/2)\/s)**10*((s*s\/(s\/(s*s**0))*s)**(25\/4))**(3\/32) assuming s is positive.\nAnswer: s**(29805\/1664)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -712935062 divided by -1.\nAnswer: 712935062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -529 - -533. Which is the biggest value? (a) q (b) -0.029 (c) -0.1 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**3 + 2*r**3 + 0*r**3)*(1 - 4*r - 2 + 0).\nAnswer: 4*r**4 + r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -390 - -389.6. Put 4\/5, -0.07, -4, z in ascending order.\nAnswer: -4, z, -0.07, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1207 + -31?\nAnswer: -1240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sussssssuu. What is prob of sequence usss?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 12:41 PM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270) + sqrt(270)*-3 + sqrt(270) + sqrt(270) + sqrt(270))\/sqrt(9))\/(-3*sqrt(150)) + (sqrt(45)\/(sqrt(45)\/(-1*sqrt(5))) - (1*-1*sqrt(5) + 5)).\nAnswer: -5 - sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a + 142662*a**2 - a - 71327*a**2 - 12*a - 71303*a**2.\nAnswer: 32*a**2 - 8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.6, -11, 0.2, 0.\nAnswer: -11, -0.6, 0, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -8 - 9 - (1 - 8) - -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/15)\/(3\/20). Solve 48*b = 50*b + m*f, 2*f - 16 = -5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5883568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2*v - v + 17, -2*i = -v - 5. Find the second derivative of i*n**4 + 3*n**4 + 110*n + n**3 + 3*n**4 wrt n.\nAnswer: 120*n**2 + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 14. Let o = 38 + -35.1. Let f = o + -2.6. Which is the nearest to -1\/3? (a) 2 (b) f (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q**4 - 32*q**3 + 24*q**2 + 32*q - 12 = 0. Calculate q.\nAnswer: -3, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -0.2, -1\/4, -5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 7873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 0 + 1 + -3 + 91 + (-17 - 34)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 21*a - 230. Let k be j(11). Let x be (-1 + (-1)\/(-2))*0. What are the prime factors of x - (-110)\/(1 + k)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, -4, -0.4, -7, 0.04 in ascending order.\nAnswer: -7, -4, -0.8, -0.4, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30*-1*32\/48.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -11*q**3 + 4*q**2 + 14*q - 1. What is the units digit of h(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(140) + sqrt(140)*-4)\/sqrt(4))\/((sqrt(7) - 1*sqrt(448)) + sqrt(7) + sqrt(7))*3)**2.\nAnswer: 2916\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 363945 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13776 - 5092. Is 52 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m\/m**32)\/m))\/(m\/(((m**29*m)\/m)\/m)*m)*(m*((m\/(m\/(m**(18\/5)\/m)))\/m)\/m)**2)**(-9) assuming m is positive.\nAnswer: m**(-2799\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w + 25*w**2 - 26*w**2 - 3*w.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1284421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2. Suppose 39 - 19 = 5*p. Let b(l) = -p*l**2 + 13*l**2 + 0*l**2. Calculate b(f(u)).\nAnswer: 36*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -51. Let r = z - -43. Let m = 415.1 + -415. What is the nearest to 0 in m, r, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*v**5 - 313*v**3 - 6*v - 320.\nAnswer: 540*v**3 - 1878*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 10*c - 3 + 11 + 3*c. Let r be q(-9). Let d = r + 39. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 - h**2 + 3*h**2)*((1 - 2 + 2)*(2*h**3 - 3 + 3) + (0*h**2 - 3*h**2 + 2*h**2)*(-h - h - 2*h) - 2 + 2 - 2*h**3).\nAnswer: 8*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) 6\/7 (b) -2\/3 (c) -2\/7 (d) -307\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + j - 16. Which is the third smallest value? (a) 1\/10 (b) -0.1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/4 - 386\/(-10). Let j = -40 + z. Which is the closest to 2\/7? (a) 0 (b) j (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 856 and 321.\nAnswer: 2568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 944 - 938.23. Round m to 1 dp.\nAnswer: 5.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1928, -1929, -1930?\n\"Answer: -p - 1927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2266163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 6*i**2 + 4*i - 2. Is g(2) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7135484?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 7*a + 11. Let s be r(-8). What is the second derivative of -1 + s*v**5 + 4*v - v + 1 wrt v?\nAnswer: 60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6a1bd4c - 5?\nAnswer: -6a1bd52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + 24. Calculate the remainder when f is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h + 9. Let w be v(-7). Let d(j) = 1 + 2*j**w - 5*j**2 + 7*j - j**3 + 4. What is d(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 35 (b) -4 (c) 514 (d) -0.11 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + y**2 + y - 1. Let j be n(0). Let g be -19*j\/((-5)\/(-45)). Calculate the highest common factor of 9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j + 241*j**3 - 108*j**3 - 106*j**3 + 1 + 3*j - 29*j to the form h*j**2 + o + w*j**3 + l*j and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6407645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0389 + -0.0309. What is the third biggest value in 5, 4, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2245\/3 - -1497\/2. Let w = 1.1 + -2.8. Let h = w + 1.66. Which is the closest to -2? (a) h (b) m (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/4 (b) 0.5 (c) 2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of u**4\/6 + 3*u**3\/2 + 7*u. Give k(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/9 - -1)*(-11 - -215). Let j = 284 - t. Is j a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.3060519 nanometers?\nAnswer: 0.0003060519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -314.9593 - -315. Let m = -1.3367 + w. What is m rounded to 2 dps?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 6*k + 4. Let h be t(2). Suppose h = w - 6 + 4. Solve -4*m - w = -6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4322*l - 694121 = -4353*l. What are the prime factors of l?\nAnswer: 22391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 926186?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2515, -5, -2, -9 in descending order.\nAnswer: -2, -5, -9, -2515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 57863 to the power of 1\/2, to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -k, 13 = 6*k - 3*k - 4*i for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2.177 (b) -9 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*a + 18*a + 0 + 2)*(2*a**3 - a + a).\nAnswer: -24*a**4 + 4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*j**3 - 25*j**3 - 19*j**3 - 4*j**2 + 68*j**3.\nAnswer: -2*j**3 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 15*y**4\/2 - y**3\/6 + y**2 - 12*y. What is the remainder when c(1) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/6 - 78507*q\/2 - 117762.\nAnswer: (q - 235524)*(q + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -1 (c) -114 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*d = 228*d - 294 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62 and 1984.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3677 - 378*i + 3677 + (4 - 4 + 2*i)*(-2 + 2 - 4).\nAnswer: -386*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159712 is divided by 400?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1596 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 2:44 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69686920*z**3 - 53*z**2 - 1421549 wrt z.\nAnswer: 418121520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 7 - 2 + 5*x - 14*x**2 + 16*x**2 + 0. Let b be 24\/(-16) + 3\/2. Suppose -j - j + 12 = b. Let q(z) = 3*z**2 + 6*z + 6. Calculate j*o(c) - 5*q(c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + -2.1. What is the closest to 0 in 1, 0.2, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1069 divide 6550832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 119 = -625. Calculate the smallest common multiple of 33 and f.\nAnswer: 4092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = 1284*n - 1293*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 106915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 91670884\nAnswer: -91670883.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10440092.\nAnswer: 2, 13, 200771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-2*(1*-3*(sqrt(209) - 5*sqrt(209))\/sqrt(11))**2.\nAnswer: 21888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u + 4*u + 16. Suppose 5*y = u*y + 39. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*d**2 - 3*d**2 - 15*d**2 + (2*d - 3*d + 3*d)*(-2 + 2 - d) - 2*d**2 + 0 + 0 + (-1 + 3 + 0)*(-2*d**2 + 3*d**2 - 2*d**2).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w. Let p be r(-5). Let d = 39599\/15 - 2640. What is the closest to 0 in p, 2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 938759179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -82 and 4456629.02?\nAnswer: 4456711.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 times -1?\nAnswer: -424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12483289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1558, -1389, -1254, -1153?\nAnswer: -1086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15\/27401153 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 138339135563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -40. Let y = 19 - g. Suppose -88 = -34*j + y*j. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -234\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 255 and 153?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209057 is divided by 87.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 3154*d + 2282923. Give y(-607).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 148 = -124. Let b(x) = -x**2 - x + 31. Let q be b(s). Let p(o) = o + 2 + 3 - 6. Let g(l) = -12*l + 9. Determine q*g(r) + 9*p(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 0 + 4\/105*j**7 + 0*j + 0*j**6 + 0*j**3 - 32*j**2 + 0*j**4 + 3\/5*j**5. Find the third derivative of k(g) wrt g.\nAnswer: 192*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 115787?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/(-18) + 1294\/4. Suppose -2*g - 3*b = -1282, -5*b - 927 = -2*g + y. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-7)\/3 - -2). Suppose 5*z = t*g + 3*z + 44, -6 = g - 5*z. Let n = -16 - g. Which is the smallest value? (a) n (b) 2\/7 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 19265227 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: Are -381 and -1527\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 divided by -47?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 2\/2347?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 40112798*a**2. Let n(w) = -w**2. What is n(j(q))?\nAnswer: -1609036563388804*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -22852.785 rounded to the nearest 10?\nAnswer: -22850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*t + 254 = 54 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/84 and -61\/540.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.91 - -0.09. Let l = b - 5.6. Let c(k) = 2*k - 10. Let q be c(3). What is the nearest to 2\/7 in -0.5, q, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - f = -1 + 21, -10 = 2*f. Is (4\/k)\/(6\/3765) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 - (-6 + -6 - 19333) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + x**2 + 5*x to the form d + g*x + b*x**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*1*((sqrt(13) + (sqrt(26)*-2)\/sqrt(2))**2 - (sqrt(26)\/sqrt(2) + 3)).\nAnswer: -3*sqrt(13) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 673\/63 + -74\/7. Let l = -0.9 - 0.1. Let f = 0.7 + -1. What is the nearest to 1 in f, b, l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus -283660171242.77?\nAnswer: 283660171246.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 56 = i - 7*j, 4*i + 4*j - 160 = 0. Suppose 10*d - i = 6*d. What is the lowest common multiple of 6 and d?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r**2 + 0*r**2 + 3*r**2 + (2*r + 4*r - 4*r)*(0 + 0 - 1)*(3 - 3 - r) as x + s*r**2 + j*r and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 15*t**3 + 45*t**2 + 40*t. Let d(i) = 8*i**3 + 22*i**2 + 20*i. Let r(b) = 5*d(b) - 3*x(b). Find v, given that r(v) = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 731993.7ml?\nAnswer: 731.9937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -842\/7 + 10942\/91. Let i(p) = 6*p + 163. Let r be i(-27). Is l greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t, -13*k + 5 = -14*k - 5*t. Is ((-12333)\/6)\/(k\/10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(2*sqrt(196)).\nAnswer: sqrt(5)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14301 - -330?\nAnswer: -13421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2125279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 15*h - 14 + 14 + 52 + h**2 + 7*h. Let r be n(-19). Which is smaller: r or -25\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*t - 0*t. Suppose 5*m + 2 = -t. Put m, 1, 3 in descending order.\nAnswer: 3, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7857 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 302678 - 1691240 = -147*b. What are the prime factors of b?\nAnswer: 2, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/sqrt(72) + -2.\nAnswer: -2 + sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-729 - 515 - 162 - 1151 + 534)*(-1 + 1 + 2*i) to x*i + t and give x.\nAnswer: -4046","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94221, 188442, 282663, 376884, 471105, 565326?\nAnswer: 659547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19066 is divided by 1724.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.41? (a) -79 (b) -0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 0 - 1)*(157*d - 418*d + 57*d) as t + i*d and give i.\nAnswer: -612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*l**3 + 157*l**3 + l - 63*l**3 - 2*l - 57*l**3.\nAnswer: -16*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 380 = -8*b. Calculate the highest common factor of b and 190.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((0 + sqrt(99))*-3 + sqrt(99)).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2, -8, 0.04?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3598*k**3 - 10739*k**2 - 2614277.\nAnswer: -10794*k**2 - 21478*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gssgsgvg. What is prob of picking 3 s?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15483945 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 8*w - 13. Let i be y(10). Suppose -4*v = 3 - i. Suppose -p - 15 = -5*a, -a + 2 = 5*p - v. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*a**2 - 3*a**4 - 1 - 5*a**4 + 10*a**4 - a as r*a**4 + o*a**2 + k*a**3 + i + s*a and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 186, 374, 562, 750, 938, 1126?\n\"Answer: 188*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/9)\/((380\/(-24))\/(-19)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -48 in 45, -4, 1\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3080974336.\nAnswer: 2, 11, 19, 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25580*q**2 + 25274*q**2 - 50838*q**2.\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w + w**2 - 4*w + (3 - 3 + 2)*(2*w**2 + 0*w + 0*w) - 121*w**2 + 1 + 66*w**2 + 72*w**2.\nAnswer: 22*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*u + b + 4 = -17*u, -4*u - 78*b - 9 = -25 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2346384653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - -3*29 - 2. Let o = 134 - g. List the prime factors of o.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89111.75 nanograms in kilograms?\nAnswer: 0.00000008911175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vhhhhzhevhvhvhzh. What is prob of picking 2 v and 1 z?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 - -140995463097?\nAnswer: 140995463096.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qrrfrrfrrrtqrfrr. What is prob of picking 3 f?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 5 = 4*c - 0, 0 = 4*c + 4*d + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -238, -476, -714, -952?\n\"Answer: -238*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -5, 1082 in increasing order.\nAnswer: -5, -2, 1, 1082","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9562*l + 5283*l + 6766*l.\nAnswer: 2487*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33\/137315 or -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475360 is divided by 18283.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 + -13.3. Let y = d - -19. Let c = -4 + y. What is the biggest value in 5, c, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.05535 - -10.21935. Round g to one dp.\nAnswer: 10.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64707000 rounded to the nearest one hundred thousand?\nAnswer: -64700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 83*b - 131. List the prime factors of a(6).\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 72*b - 739. Determine n(-60).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + 1 - 7 - (-16 + 21)) + -12?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.191 and -3465.\nAnswer: -3464.809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 66235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -32*w - 2717. Calculate l(-85).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 0.3. Is 3 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*d**2 + 3*d**3 + 46*d**2 - 2*d - 5*d in the form b*d**3 + n*d + l*d**2 + o and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*g - 8 = 50*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 80816 = 2*i + 2*i, 2*i - 20201 = -u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**3 + 2*c + 3. Let k(y) = 96*y**3 - 6*y + 408. Let o(z) = -k(z) - 2*v(z). Find the second derivative of o(h) wrt h.\nAnswer: -552*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**2 + 184429*c + 737732 = 0. What is c?\nAnswer: -4, 184433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u**3 - 9*u**2 - 7*u + 7. Let f(k) = -k**3 - k**2 - k. Let t(a) = 2*f(a) - h(a). Let y be t(-6). Let i(d) = 18*d. What is i(y)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1515581566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -4*q - 31, -4*l - 4*q = 47 - 19. Let s = 4 - 7. Sort -37, s, l in descending order.\nAnswer: l, s, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*(-1)\/12*(-54)\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**3 - 4*f**2 - 10*f**2 + 4*f**2 - f**3.\nAnswer: -4*f**3 - 10*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 9*c**3 - 31*c**2 + 60*c + 17. Let x(a) = 5*a**3 - 16*a**2 + 30*a + 9. Let s(t) = -6*j(t) + 11*x(t). Is s(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 294 - -3072. What is the thousands digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*d + 20*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 28*z**3 - 30*z**3 + 15)*(z + 2*z + 2*z).\nAnswer: -10*z**4 + 40*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, z: 5, e: 8, j: 2}. Give prob of sequence ezzj.\nAnswer: 2\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 8*m - 30 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/218 or -0.6?\nAnswer: -3\/218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 127 + -124. What is the third smallest value in m, -4, -3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -54*l + 3920. Let i be o(38). Calculate the highest common divisor of 8 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 12*g**2 + 8. Let l be k(12). Let q = 193 - 184. Let f(h) = -q*h**2 + 6*h + 8 + l*h**2 + 2*h**2 + 0*h**2. Determine f(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gs when two letters picked without replacement from {s: 3, i: 1, g: 1, t: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c**2 - 4*c - 5. Let q be (-3)\/5 + (-27)\/5. Let j(s) = -2*s - 6. Let m be j(q). Let y(t) = 4*t**2 - 3*t - 4. What is m*y(w) - 5*a(w)?\nAnswer: -w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 13. Let b be o(-10). What is the remainder when 37 is divided by (b - 4)\/(2\/(-26))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60621 and 5681841?\nAnswer: 5511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 3*x**2 - 3*x**2 + x**3 - 2*x + (-3 - x + 3)*(-x**2 + 0 + 0).\nAnswer: 2*x**3 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 9:49 PM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -29, -3, -1 in decreasing order.\nAnswer: 0, -1, -3, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24.2 - 27. Let s = 17.2 - b. Let w = -20.23 + s. Which is smaller: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 10. Let l be (0 + (1 - -1))*2. Let b = y - l. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (208 - 6) + (-4)\/(-2) + -6. Calculate the greatest common divisor of 18 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) - ((sqrt(550)*1)\/sqrt(11) - sqrt(50))) + sqrt(50))\/(sqrt(30)\/sqrt(27)).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 - -51. Let g = f + -12. Let u = 8 - g. Is -1 at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2290461 to the power of 1\/3, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-56))\/((-1)\/((-8)\/6))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 190 and 212274770?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 4*i + 4*i)*(-647 - 6*i + 2*i + 650).\nAnswer: -4*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 615534 and 5930?\nAnswer: 3077670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -3*c**3\/2 - 469*c**2\/4 - 495*c\/2 - 38 = 0.\nAnswer: -76, -2, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 64 = 4*s, -7111*l + 7106*l = s + 7 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(16\/(-6)))\/(10128\/(-30384))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -9*m. Let w(d) = 3*d. Let h(o) = 7*w(o) + 2*z(o). Does 6 divide h(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - 0.22. Let p = u - -6.12. Let v = -47 + 47.5. Which is the third biggest value? (a) v (b) p (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -0.305, 0.2, 2, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j - 3. Let s be x(5). Suppose -6 = -s*y + 3*l, 0 = 4*l - 3*l. Solve 3 = 3*h - y for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 330722 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/6*0)\/(-1). Suppose -18*o + 21 - 57 = 0. Let h be (o - (6 - u))\/(-2). Solve 6*v - 5*v - 4*x = -9, 2*v - h*x + 6 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of 1\/120*h**6 + 0*h**4 + 0*h**5 + 0*h**2 + 0 - 2\/3*h**3 + 11*h. Let c(f) be the second derivative of z(f). What is c(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -21*f**2\/2 + 382. Let h(m) = -2*m**2. Give h(w(y)).\nAnswer: -882*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 v, and 1 e when four letters picked without replacement from {h: 1, e: 3, k: 3, v: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.018873621 to 4 dps.\nAnswer: 0.0189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 199654285 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 982903790 rounded to the nearest 1000000?\nAnswer: 983000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1658667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 12 = -2*b. Suppose 220 = o - b. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -101 - 28?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 - 22. Let h(d) = 45 - 45 - 3*d**2 + d**r. Let b(a) = -9*a**2. What is b(h(k))?\nAnswer: -36*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 1725906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-15) + (-39481)\/65. What is l rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11\/(-6) + 4\/(-6). What is the nearest to 0 in 2, y, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + -339879\nAnswer: -339878.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/3))**(2\/11)*(s**(-7)*s)\/(s\/(s*s**(-2\/7))) assuming s is positive.\nAnswer: s**(-1424\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 52, 123, 224, 355, 516, 707?\nAnswer: 928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-6)*0 + 0. Suppose s = 5*t + 40 - 130. Solve -3*m - 8 = -2*z, 5*m - z + t = -0*z for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(539) + 1)**2 - -4*(1 + sqrt(11))).\nAnswer: 18*sqrt(11) + 545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 16. What is the greatest common divisor of 5 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffzvlzzvzlljzffzl. What is prob of sequence zvv?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -18. Let x(b) = b**3 - 3*b**2 - 9*b + 1. Is x(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b + 1. Let u(c) = c**2 + c + 1. Let t(n) = 3*n**2 + 8*n + 2. Let o(a) = t(a) - 4*u(a). Let v(w) = -o(w) - 3*s(w). Let f be (-1)\/(-1)*0\/2. Give v(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/3 - 103*m**2 + 15734*m\/3 - 19352.\nAnswer: (m - 246)*(m - 59)*(m - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1\/3, 0.3, -1, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 315 + 13. Let u = 7955163.43 - 7954835.429779. Let v = n - u. What is v rounded to five decimal places?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 202*h + 1. Let n be v(1). Let j = n + -121. Calculate the remainder when j is divided by 6\/4 - 65*3\/(-10).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1064658 minus 2?\nAnswer: 1064656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 18) + 13 + 10?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*3\/33)\/(-1)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaazzaaa. Give prob of sequence az.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s - 57 + 327 = 0. Let o = 18 + s. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (149\/2235)\/((-1)\/6)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 1 + 3 + 1 = 11, -x - 35 = -8*x - 34*m + 13*m for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((-84)\/342)*((-408)\/(-1530))\/(1\/5).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*k**2*m - 115*k**2 - k - 643*m**3 + 22 with respect to m.\nAnswer: -3*k**2 - 1929*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-126 - -124) + 37089\/(2 + -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19755212602 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q**2 + 2*q**2 + 266*q + 62*q + 0*q**2.\nAnswer: -6*q**2 + 328*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5058 + 9338*o**3 - 2873*o**4 - 9338*o**3 wrt o.\nAnswer: -11492*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2818 + 5629. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -12 - (-795 - -848)) + -2\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 h, and 2 t when four letters picked without replacement from {h: 2, n: 7, t: 2, z: 7, o: 2}?\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 167*k**6 - 2*k**4 - 31494*k**3 - 77759412*k**2 wrt k.\nAnswer: 20040*k**3 - 48*k - 188964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 2\/9, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 355.841 + -356. Let m = -34.559 - y. Let d = 34 + m. Put -0.01, -4, d in ascending order.\nAnswer: -4, d, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15908 is divided by 52.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 14*f**2 - 15*f - 24. Let l(m) = -3*m**3 - 27*m**2 + 31*m + 47. Let n(w) = -2*l(w) - 5*x(w). Let a be n(15). Is 588 + (0 - 4\/a)\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*a + 5*a + 6*a + 3*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.7 - -0.2. Let p = 11 - 15. Let u be (96\/42)\/8 - 1\/(-21). Which is the nearest to u? (a) m (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 5*y**2 + 81740*y + 81735 = 0.\nAnswer: -16347, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 20\/30*3\/(-2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193 = 30*s - 253. Let z be (-2 + (4 - 2))\/1. Solve z*l + l = s for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-19185)\/(-15))\/(1*(2 + -3)). Let b = -760 - g. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8 + (5 + -4 - -2). Suppose 0 = b - g*b + 360. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -243.4 + 243.435716. Round n to 4 dps.\nAnswer: 0.0357","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1080041 is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = b - 9. Let q be b\/(-9)*(-3)\/(-2). Let o = q + 1. Is o bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-3)*(-7)\/((-28)\/(-16)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}