diff --git "a/data/dm_maths/full_data_1/1546_11255.jsonl" "b/data/dm_maths/full_data_1/1546_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1546_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: 41125151 (base 6) to base 3\nAnswer: 2012211210111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 32*i**3 - 256898*i**2 - 754920*i + 48186 = 0. What is i?\nAnswer: -3, 1\/16, 8031","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54712.21t to kilograms.\nAnswer: 54712210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -23*(3 - 11 - 30) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.29983 weeks in nanoseconds?\nAnswer: 27397337184000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6671261?\nAnswer: 19, 311, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5511 is divided by 501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -494 in 2\/13, 3, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + -3 + sqrt(7)) + 0.\nAnswer: 4 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 15*n**2 + 21*n + 3. Let h(f) = f**3 - 14*f**2 - 19*f - 4. Let j(v) = -6*h(v) - 5*p(v). Determine j(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -5, 5, 3 in descending order.\nAnswer: 8, 5, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1211 + 1467. Solve d*k - 249*k = 35 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*v + 2*v. Suppose 2*c = -4, -c + v*c = 3*i - 6. Suppose 6*r - 8*r + 330 = i. Calculate the highest common divisor of 15 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 + 22*j**2 - 5*j - 22.\nAnswer: (j - 1)*(j + 1)*(5*j + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/16700 and -93\/16700.\nAnswer: 16700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -75130*b*d**3*f**3 - 3*b*d**3*f**2 - 137560*b*d*f - 8*b*f**3 + d**2*f**2 + 6*f**2 wrt f?\nAnswer: -450780*b*d**3 - 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.0513 + 0.0513. What is the smallest value in k, 4, -3\/2, -1\/3, -0.094?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 257, 947, 2069, 3599, 5513, 7787, 10397, 13319?\nAnswer: 16529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-30)*(-16)\/12?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbfbbbxubxuxbfbb. What is prob of picking 1 b, 1 f, and 1 u?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dh when two letters picked without replacement from tbtbgdtbddhbddht.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19.6 - 20. Let q = i - -0.7. What is the nearest to 0 in 3, -1\/4, q?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, v: 5, p: 2, q: 2, a: 1, l: 7}. Give prob of sequence ppla.\nAnswer: 7\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooby when four letters picked without replacement from {y: 2, b: 1, o: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -77*y - 6. Let t(k) = -26*k - 2. Calculate 6*d(h) - 17*t(h).\nAnswer: -20*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2846 - 2846 + 4*y**3.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5657440 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128954\/56 - (-5)\/20?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -y**5\/60 - y**4\/3 + y**3 + y**2 + 5. Let q(v) be the second derivative of o(v). What are the prime factors of q(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 57 = f - 9, -5*i + 74 = -3*f. Calculate the smallest common multiple of i and 794.\nAnswer: 6352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21560 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3352226711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 834.\nAnswer: 1668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (248\/8)\/((-1)\/(-1*(-3 - -8))) and 6.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 26*u**4\/5 + 3454*u**3\/5 - 7526*u**2\/5 + 4586*u\/5 - 108 = 0?\nAnswer: -135, 2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (12 + -2 - 13 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i - 6. Let u be k(-5). Let r be 32\/180 + u\/5. Which is smaller: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 216469\/3 or 72156?\nAnswer: 216469\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 10 = -3*c. Suppose -5*l - 8 = -13. Suppose 4*u = j, -c*j - l = -4*u - 5. Solve 0 = 2*n + j + 6 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kdu when three letters picked without replacement from dufuukfdfkdk.\nAnswer: 9\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 1\/4, -5, -128, 3, 2\/9, 17371?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244 is divided by 94.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - f**2 - 1. Let d(q) = 2*q**3 - 3*q**2 + 57*q + 44. Let g(i) = -d(i) + 3*m(i). What is the first derivative of g(o) wrt o?\nAnswer: 3*o**2 - 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.63 - 0.493. Let q = -0.637 + r. Which is the closest to -4? (a) -0.4 (b) -1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*435\/(-30) + -15. Let f = 0.1 + 0.3. What is the third smallest value in f, 30, v, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -69\/17 - -1159\/340. Let q = x - -1\/4. Let d = 2.2 - 0.2. Is q less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -287217810 + 30.9.\nAnswer: -287217779.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13371 by 6038.\nAnswer: 13371\/6038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + 41046936272.\nAnswer: 41046936272.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 160 and 685521472?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 10 = -2, -2*c + 358 = 3*p. Suppose -40 = c*m - 177*m. Solve -k = 3*k + s - m, -3*k + 3*s = -15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**4 - a**3 - a**2. Let q(c) = -40*c**4 + 6*c**3 - 23*c**2. Let i(z) = q(z) + 6*u(z). What is the third derivative of i(y) wrt y?\nAnswer: -816*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1530816 and 6?\nAnswer: 1530816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-642)\/(-18)*(10 + 1\/(-1)). Let m be 5 + 415\/(-85) + n\/(-561). Is m != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 79, -4, 0, -67947, 1 in descending order.\nAnswer: 79, 4, 1, 0, -4, -67947","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 28. Suppose 55 = -5*p + 5*f, 2*p - 3*f + 20 = -2*f. Let r = 6 - p. Solve q*b - r = 3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324*i + 24420 = -731*i for i.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 310 + -185. Is u - (-6)\/(1 - -2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 4)*(11 - (-735)\/(-75))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*a + 23*a - 22*a**3 + (-a - 2*a + 5*a)*(4*a**2 - a**2 - 5*a**2) + 18 + 5*a**3 - 7*a**3 + 0*a**3.\nAnswer: -28*a**3 + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 19*x**2 - 18*x - 404. Let h(z) = 4*z**2 - 4*z - 77. Let c(m) = -21*h(m) + 4*j(m). What is c(4)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 597725252 to the nearest integer?\nAnswer: 842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*y**5 + 91*y - 91*y + (1 - 1 - 4*y**3)*(4*y**2 - 2*y**2 - 3*y**2).\nAnswer: 32*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -5 (b) 8 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -1\/11 (b) -0.4 (c) -0.011\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c + 9. Let b be x(8). Suppose 3*g - b = 2*g. Sort g, 0, 2 in increasing order.\nAnswer: 0, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 4*s + 0*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-72))\/(-1 - (-4)\/6)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100 - 111001101111011110011?\nAnswer: -111001101111011011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 25*m**2 - 155*m + 544. Let v be i(18). Solve 0 = -33*r + v*r + 99 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - -4*2\/4. Suppose -l*s - 2 = -5*s. Which is greater: s or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 1\/4, -4\/11 in decreasing order.\nAnswer: 1\/4, -2\/7, -4\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3719 - 2568. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*b + 192 - 948. Let l(d) = -d**3 - 6*d**2 + 7*d + 1. Let y be l(-6). Let j = b + y. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 5*b - 8, z + 5*b + 9 = 2*b. Let k be z - 0 - (-1 - 1). Suppose -3*j + 20 = 5*l, -k = -2*l - 3. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 798*f + 3354 = -2148 + 20664 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 2*n = -14, 0 = 2*p - 4*p - 5*n + 11 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 1 + 1 - 7)*(-4 + 3 + 0).\nAnswer: 4*f + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-518)\/(-18722)*-23*18\/(-7).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9296608137 + 1533?\nAnswer: 9296609670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*c + 214*c - 117 - 19683 = -87*c for c.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1813 + -4ba38?\nAnswer: -4a225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*n + n - 3*n)*(-2 + 0 + 6*n - 5*n) + 0*n**2 + n**2 - 4*n**2 to the form k + p*n**2 + m*n and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5\/2, -17, 1\/2, 26, 2?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101000000 - 11110100001100011?\nAnswer: -11110010100100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -265.6 - -273. What is b rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17077*l**4 - 50*l**2 + 19*l + 19 wrt l?\nAnswer: 409848*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -833695 or -833694?\nAnswer: -833694","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 2. Let y(t) = t**2 + t - 4. Let w be y(c). Solve 6 = -2*i + w for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 354*q**4 - 252602*q**3\/3 + 3411672*q**2 + 1488536*q\/3 + 12896 = 0. What is q?\nAnswer: -1\/9, -2\/59, 52, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - h - 13 = -d, 4*d - 3*h = 1. Let z = d + 6. Let k = 119\/3 + -40. What is the nearest to 0.2 in k, z, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1)**(1\/77))**(18\/11) assuming y is positive.\nAnswer: y**(18\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1039*v - 1454 = -114705 for v.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/28*(14\/12)\/1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9624 - -9626. Which is the fourth biggest value? (a) z (b) 0 (c) -2\/9 (d) -25\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*l = 58*l + 9. Suppose 4*w = -8, -l*g = 2*w + 12 + 49. Let c = g - -32. Does 2 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -50 + 5b?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -1. Let g be (9\/(-12))\/(i\/(-24)). Let m be (-6)\/g + (-11)\/12. Which is the nearest to m? (a) -0.3 (b) -1 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1186871, 2373737, 3560603, 4747469, 5934335, 7121201?\nAnswer: 8308067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fokakoaxofoookoor. Give prob of sequence ffo.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 24. Let k(z) = -z**3 - 19*z**2 - z + 17. Let h be k(-19). What is the greatest common divisor of q and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 831456555 - -0.4.\nAnswer: 831456555.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + (-5)\/(325\/(-635)))\/((-3)\/2)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3606*x**3 - 3608*x**3 + 14447*x**3 + 60*x**2 - 3625*x**3 - 3598*x**3 - 60*x**2.\nAnswer: 10*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10017 (base 15) to base 6.\nAnswer: -1030251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -38 <= -43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 46 = 362. Let h = o + 67. Let i(p) = p - 2. Let m be i(2). Sort h, m, 3 in decreasing order.\nAnswer: 3, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**2 + y**2 - 2*y**3 + 2*y**3 + 7*y**3 in the form n + l*y**2 + p*y**3 + v*y and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 6*c**2 + 8*c + 11. Let f be p(7). Let y be ((-259)\/2)\/(f\/962). Let d = y + 6925. Calculate the common denominator of 11\/14 and d.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*q - 1670 + 74 = -28*q for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 12.395 in increasing order.\nAnswer: 3, 5, 12.395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 13*f**2 - 13*f - 12. Calculate l(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - 9\/(-2 + -1). Suppose -f - l*q + 112 = -462, 5*f + 3*q = 2810. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.2 + 0.8. Let v = 5 - k. Which is bigger: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 3*h + 9, 5*m = -33*h - 192 + 93 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(152) - (sqrt(152) + (sqrt(152) - (1*sqrt(152) - sqrt(152)) - sqrt(152))))*1)\/(1*sqrt(800) - (sqrt(8) + (sqrt(8) - sqrt(8)*-1))*6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -437 divided by 5.\nAnswer: -437\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 8*z**2 - 8*z + 10. Let i be -12 - (-1 + 8\/(-4)). Let h be x(i). Let v = 1\/9 - 4\/9. Which is smaller: h or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1750457839 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 7031*z**4\/2 - 2*z**3\/3 - 1. Let u be h(-4). What is u rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1084 is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 28 = 47. Suppose -2*i - 3*x + 4 = -26, -i - 4*x = -p. Suppose i = 3*a, 3*z - 60 = -0*a - 2*a. Calculate the remainder when z is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h + 4. Let g(q) = q + 1. Determine d(f) + 3*g(f).\nAnswer: 8*f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 524.4072 millilitres in litres?\nAnswer: 0.5244072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -0.5, -2\/17 in decreasing order.\nAnswer: 17, -2\/17, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-8))\/((-1)\/((-4)\/(-6))). Factor -h*i**3 + 5\/4*i - 1\/2 - 3\/4*i**2 + 1\/4*i**4.\nAnswer: (i - 1)**3*(i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - u + 154, -5*u = 1 + 9. Let o = p - -139. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5*k**2. Let i(c) be the first derivative of -20*c**3\/3 - 90. Calculate i(u(g)).\nAnswer: -500*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 8. Let f = n + -6. Let q = f - -3.3. Which is the closest to 1? (a) -0.4 (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -6.7. Let o = 0.1 + z. Let m = -90 - -90. What is the nearest to 0.1 in -2, m, o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u*u**(-3))\/u))\/u)\/u**(-4\/5)*(((u**7\/u)\/u)\/u)**(3\/2) assuming u is positive.\nAnswer: u**(49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((192\/(-72))\/(1\/45))\/(-2) and 320.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**3 + 5*g**2 - 8*g - 5. Let b be (-12)\/(-21)*(-21)\/(-6). Let k(i) = -5*i**2 - 28606*i - i**3 + 2 + 3*i**2 + 28610*i. What is b*a(o) + 5*k(o)?\nAnswer: -o**3 + 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3693.94 - 3693.9. What is the nearest to -13 in j, 2\/5, -0.02, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 20 = 89. Suppose -288 - 174 = -11*h. Let p = h + -19. What is the greatest common factor of p and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 54, 4, -44, -90, -134, -176, -216?\n\"Answer: q**2 - 53*q + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l**2 - 123*l - 236. Let g be p(-2). Let u(c) be the second derivative of 4*c + 0 - 1\/20*c**5 - 1\/2*c**4 - 1\/3*c**3 - 9\/2*c**2. Calculate u(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5298108 and 15060?\nAnswer: 3012","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 147.0318318 milliseconds in weeks?\nAnswer: 0.0000002431081875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 5*s - 4. Let i(t) = -t + 1. Let y be i(-5). Let z be w(y). Suppose 0 = h + 4*h + 5*m, 3*h + m = 0. Put h, -4, z in descending order.\nAnswer: z, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 1704 in ascending order.\nAnswer: -5, -2, 1704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 l when two letters picked without replacement from ilagccgy.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 - -0.1. Let o = 81 - 54. Let s be ((-6)\/o)\/(4\/3). What is the biggest value in -0.2, r, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14599 is divided by 3643.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*f + 6*b - 214 = -124*f, -14*b + 502 = f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**15\/(i**11\/i*i)*i*i\/(i**4\/i)*i\/i**(-9))**46 assuming i is positive.\nAnswer: i**598","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 7*l + 1. Let y be b(-3). Let n be ((-3)\/y)\/(45\/150). Solve 4*k - n*k + 22 = 5*a, 0 = -4*k - 5*a + 16 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -1 + 0 - 1 + 4*s**2 - 2*s. Let y(t) = -t + 2. Let h be y(3). Let b be p(h). Solve -2*u - 4*w - 14 = 0, -4*u + b*w = -u - 19 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2*q = -102, -12*i + 5*q - 186 = -16*i. What is the greatest common divisor of 42 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -7 + 83 + -79\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**5\/o**1)\/(((o*o**(-2\/17))\/o)\/(o**0\/o)))**(20\/7))**3 assuming o is positive.\nAnswer: o**(3180\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 divided by -660473.\nAnswer: 64\/660473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 11*y**2 - 27*y - 13. Let o be a(-13). Solve 22 + 0 = -4*p - 2*x, 4*p + 5*x + 25 = o for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmkm. What is prob of picking 1 z and 1 k?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12103 - 10113133?\nAnswer: -10101030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(208) + 2 + 5 - (sqrt(208) + -1 + -1)) + -2)**2.\nAnswer: 1444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-53 + 3) - (30 + (-22 - -2)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -25, g + 7 + 12 = 4*v. Let q be -3 + (5 - 1) + -1712 + 3. Find the common denominator of v\/16 + q\/160 and 73\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 26502, 52913, 79324?\n\"Answer: 26411*t + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 6, 3784 in descending order.\nAnswer: 3784, 6, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -93576, 0 in descending order.\nAnswer: 3, 0, -93576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 11:02 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 650616.8 minutes?\nAnswer: 39037008000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 4*h - 3*h)*(400 - 129 + 228).\nAnswer: 998*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1570 (base 9) to base 15.\nAnswer: 54c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4 + ((sqrt(504)*-3*-1 - sqrt(504))\/(sqrt(448) + (sqrt(448) - sqrt(448)*-1)))**2)*-6.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-424)\/64 + 7 + 12\/24*157\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201 = -2*u + 123. Does 5 divide (4\/(-6))\/((-6)\/u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gw when two letters picked without replacement from {g: 2, w: 3, v: 2, m: 6, u: 5}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3435 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**0)\/r**(1\/7) assuming r is positive.\nAnswer: r**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/2440 and 85\/7954.\nAnswer: 9703880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from {c: 3, v: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -8. Let i(s) = s + 5. Let o be i(r). Let p(w) = -w**2 + 1. Determine p(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 3186\/54 + 28.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5532*s - 5637*s = 5880 for s.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.797 or -0.259?\nAnswer: 0.797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 12. Let q = u - -6. Let t be (q + 2)\/((-3)\/54). Solve -2*p + 12 = -3*f, -3*f - t = -0*f - 4*p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -35.6\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eedmdekedded. Give prob of picking 2 d and 1 e.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167 - 79*f + 87 + 80.\nAnswer: -79*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-10))\/((-5)\/25). Suppose 5*i - 20 = -l + c*l, 0 = -i + 3*l + 18. Suppose 5*x + 0*x - 710 = i*q, -4*x + 16 = 0. Round q to the nearest ten.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjijjjjiijjjjjj. What is prob of sequence jjj?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 934120 and 8470?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 232 - 48. What is the highest common divisor of 230 and t?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -3) + (-6 - -6) - -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 846960004.\nAnswer: 2, 11, 23, 836917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 37.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 482*b. Let m(k) = 1134*k - 2078*k + 947*k. What is p(m(y))?\nAnswer: 1446*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*a**3 + 96 - 96)*(-7 - 2 + 3)*(-2*a + 1 - 1 - 4 + 4 + a + (-3 - a + 3)*(1 - 3 + 0) + 0*a + 2*a + 0*a - 2*a - 1 + 1).\nAnswer: 144*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -34137, 3\/7, 106, -5 in increasing order.\nAnswer: -34137, -5, -3, 3\/7, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (132\/(-462))\/((-2)\/(-14)*-1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + u + 5. Let h = -36 + 32. Let k be o(h). What are the prime factors of (234\/90)\/(1\/k)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3132*p + 3134*p + 78*p**3 - 6266*p.\nAnswer: 78*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**6\/120 - h**3\/6 - 2*h**2 - 2*h. Let p(d) = -d**3 + 3. Give 6*f(c) + 2*p(c).\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - 5 - (-2 - 6). Suppose 2*f + 3*h = -11, 4*f + h + 2*h = -i. Solve f = -4*l + 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 513, 589, 663, 735, 805?\nAnswer: 873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 35255*h - 1933. Determine o(0).\nAnswer: -1933","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 451463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 8:24 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1054 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: What is 159 minutes after 2:02 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3532803463 to 2 dps.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 2) + -8 - (-29 - -13).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**3\/(a**(2\/33)\/a))\/(a**1)**(-2\/19))**(-13\/5) assuming a is positive.\nAnswer: a**(-32968\/3135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.036? (a) 7 (b) 0.8 (c) 4 (d) -2 (e) -5 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 510 - 166. What are the prime factors of k?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 8*s**2 - s. Let x be a(1). Suppose 2*t - x = t. Suppose t*u - 6 = 43. Solve -3*r - u = -k, 0 = -5*k + 5*r + 8 + 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -325034 - -124?\nAnswer: -324510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - j = 2*b - 4, 0 = 3*j. Suppose 7 = b*w - w. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -21. What is the nearest to -1 in -2, 0.5, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 minus 169657847363?\nAnswer: -169657847364.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7607*c**4 - 18*c**2 + c - 24?\nAnswer: -182568*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 3:31 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-6))\/(10\/15). Let r = -2 + i. Let j be r*(-2 + 6)\/(-4). Let o(g) = g - 1. Give o(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5204 + 8002. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 7927 + 7453 = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 828 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t**4\/2 - 61145*t**3\/2 - 2*t**2 + 122290*t = 0. What is t?\nAnswer: -2, 0, 2, 61145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 2 - 1\/4*t**4 - t + 0*t**2 + 0*t**3. What is the first derivative of n(u) wrt u?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26 - -5?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*x - 4*g, 5*x - 37 = -4*g - 8. Suppose -9*t + 20 = -x*t. Suppose d - t*q = 6*d - 590, 4*q + 319 = 3*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 289 - 296. Sort f, -1, 4, 3.\nAnswer: f, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.00152 + -1.605358901.\nAnswer: -1.603838901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p + 3*p**3 + 4*p - 3*p**3 - p**3 in the form q*p + u + h*p**3 + c*p**2 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, -105, -129, -163, -207, -261, -325?\nAnswer: -399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-2)\/2)*(680 + -672).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7846, 7992, 8252, 8626?\n\"Answer: 57*x**2 - 25*x + 7814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 18 - 2. Let f(r) = -r**2 - 11*r. Does 13 divide f(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**2 + 2*i**2 + 10*i**2)*(-4*i - 3*i - i)*(2 - 2 - 1)*(-3 + 1 - 1) - 4*i**2 + 4*i**2 - 2*i**3 + (0*i**2 + 4*i**2 - 2*i**2)*(-3*i - i + 3*i).\nAnswer: -412*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -314*g**4 + 138*g**2 wrt g?\nAnswer: -7536*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 84 - -14. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 y when two letters picked without replacement from {x: 2, i: 1, y: 2, n: 1, m: 1}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2837 is divided by 4 - 0 - 2*(-4 - 37).\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(19) - (sqrt(1539) + 1)) + 5).\nAnswer: -48*sqrt(19) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -4034?\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17838 + -17835.0728. Round q to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144494.\nAnswer: 2, 7, 10321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -29*w**2. Let q(m) = -40*m + 24. Let u(t) = 399*t - 252. Let x(n) = 21*q(n) + 2*u(n). Determine x(o(g)).\nAnswer: 1218*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36041 and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-528)\/(-18) - (-2)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from ppxxxx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2061780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -1. Suppose -t*h - 2*b = -167, 3*h = -h - 5*b + 225. Suppose h = 5*r + d, 5*r - 2*d = 2*r + 46. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -736641248, -1473282494, -2209923740, -2946564986, -3683206232?\n\"Answer: -736641246*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31778883 and 934.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**3 - 2*w**2 + 5*w - 11. Is i(7) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-7 + -11 + 22) - 1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14018*a**2*q**2 - 4*a*q + 138*q**2 - 77*q wrt a.\nAnswer: 28036*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 7*g + 7. Let o be k(2). Calculate the common denominator of -95\/6 and o - 1 - -29*6\/48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 - -30. Let y be 2 - 4\/(-30) - 2. Which is smaller: y or a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 u when four letters picked without replacement from {i: 2, u: 10, m: 3}?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 207*j**3 + 7*j**2 + 517*j + 510. Determine g(-1).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872)*-1*5 - sqrt(1872) - -5*(sqrt(1872) + -2)) + (sqrt(156) - sqrt(156)*2*-1)\/((1*sqrt(72))\/sqrt(6))*-4)**2.\nAnswer: 480*sqrt(13) + 7588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71 + -73. Let z be 8\/12 - (-2)\/i. Let g = 1.8 - 2. Which is the nearest to g? (a) z (b) 1\/4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -38*s - 5*s**2 + 4*s**2 + 7 + 45*s. Suppose 2*l + 5 = 47. Let f(t) = -t - 1. Let i(p) = l*f(p) + 3*q(p). Let c(d) = -3*d. Calculate i(c(g)).\nAnswer: -27*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/569 - -34685\/6828. Let p = -106881\/22 + 4854. Calculate the common denominator of f and p.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 2.6304, 0.06, 3\/2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/9*b**5 - 1\/9*b**4 + 5*b**2 + 0*b + 0 - 7\/3*b**3.\nAnswer: b**2*(b - 3)**2*(b + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60 (base 7) to base 6\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -y**7\/210 + y**6\/180 + y**5\/60 + y**4\/24 + 7*y**3\/3 + 15. Let d(f) be the third derivative of c(f). Calculate d(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8\/233 - 9987\/932. Let g = -5912 + 47215\/8. Find the common denominator of i and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 3:21 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 61 + -59. Suppose 242 = 5*h - r - 5768, 6015 = 5*h - u*r. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4745178 and 162.\nAnswer: 42706602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7676 and 78377212.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35 + 3?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 12 = -8. Let a be l\/((-1)\/10*-1). Calculate the common denominator of 83\/(-18) - a\/(-10) and -63\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28 + 3*l + 16*l + 28 in the form u + h*l and give h.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (654\/(-436))\/((-12)\/(-160)*-6)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.04 + 0.44. Suppose -9 = 3*j + 3*y, 3*j = y - 3 - 14. Suppose -2*a - 6 = a. Put j, a, f in decreasing order.\nAnswer: f, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -0.19, -4, -0.08, 0.1?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*(-2)\/4 - -3. Which is smaller: o or 9\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -17 - 55\/(23375\/(-6350)) - 70\/(-612)\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00503 times 1?\nAnswer: 0.00503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 4:43 AM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -292628.\nAnswer: -292628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 625 + -623. Let z(u) = 4*u**3 - 2*u**2 + 6*u + 2. Let l(d) = d**3 - d**2 + d + 1. Determine a*l(n) - z(n).\nAnswer: -2*n**3 - 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.579721g?\nAnswer: 0.000000579721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 120024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(7\/5)\/c**(-3))**(9\/5)\/((c**(-1))**(1\/7))**(-21) assuming c is positive.\nAnswer: c**(123\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2915057857?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 164772 (base 8) to base 6\nAnswer: 1141150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1581142033?\nAnswer: 431, 3668543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216449096.\nAnswer: 2, 27056137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or 173?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30872.\nAnswer: 2, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 47 + 7. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xjh when three letters picked without replacement from mxmmcjmh.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 54\/297 + (546\/(-88))\/(-3). Determine g, given that -3\/4*g**4 + 0*g**3 + 0 + q*g**2 - 3\/2*g = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*996\/(-9)*2100\/(-840)*(-6)\/20?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*p = -61*p - 63*p + 93*p + 4898 for p.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104 divided by -634.\nAnswer: -52\/317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3865806 and 459081?\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t - 1970 = 4*t. Does 31 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -t**2\/2 + 2*t - 5. Let m = -7 - -2. Give k(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -39*z - 2393. Let n be u(-61). Sort -9, n, -15 in ascending order.\nAnswer: -15, n, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1160?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 49*v - 300. Calculate q(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvxcvvvxuzvx. Give prob of sequence lu.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(102)\/(2*sqrt(6)))**2*-6 - -4*(sqrt(306)\/sqrt(6))\/sqrt(3)*6.\nAnswer: -1275\/2 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -7)*(-32)\/80. Let y(h) be the first derivative of -93*h**2\/2 + 7*h + 1. List the prime factors of y(p).\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 156 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z**2 + z - 82*z**2 + 31 + 85*z**2 to the form v + f*z**2 + g*z and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 539346115 to the nearest integer?\nAnswer: 23224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (448\/3 - 5)\/((-17)\/(-2703)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.67 + -0.27. Let d = -6.3 - -1.3. What is the closest to 1 in 1\/7, d, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 169064, 169091, 169138, 169205, 169292, 169399, 169526?\n\"Answer: 10*q**2 - 3*q + 169057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 9*f + 6. Let h be j(1). Solve -2*k + 5 = -k + 3*d, -5*k + h = 5*d for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**3 - 1 + 6*o + 1 + 4*o**2 - 6 - 3*o**3. Let c = 5 + -1. Does 7 divide w(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -b - 234, -4*b + 195 = -5*u - 87. Let l = u - -83. Find the second derivative of 10*h + 5*h + 12*h**4 - l*h wrt h.\nAnswer: 144*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -310*v**2 + 614*v**2 - 309*v**2.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + (sqrt(88) - 4*sqrt(88)*-1)\/sqrt(8) + (sqrt(22)\/(sqrt(2)*-3 + sqrt(2)) - sqrt(132)\/(3*sqrt(12)))).\nAnswer: -50*sqrt(11)\/3 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*u - 63. Let v = 33 + u. Let j(t) = t**3 - 13*t**2 + 12*t + 15. Let p be j(v). Calculate the greatest common factor of p and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 65.9\nAnswer: 263.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 20*s + 12, 4640*i + 7 = 4641*i - 4*s for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5293741 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9, a: 11}. What is prob of picking 2 q?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-13)\/(-65) + 2*58\/40 and (11\/3 - 116\/(-348)) + 159\/(-29).\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -65, 5, 1\/6, 2\/3, 1\/7.\nAnswer: -65, 1\/7, 1\/6, 1\/4, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 10*h**2 - 9*h + 3. Let r be m(9). Suppose -15 = -3*w - r. Suppose -w*b + 10*b = 102. What is the remainder when b is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*n = 0, -24 = -2*p - n + 5*n. Let d(q) = 15*q**2 - q + 1. Is 16 a factor of d(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 0)*-1 + (-8)\/(-2). Sort 2, 3, i, -3 in increasing order.\nAnswer: -3, 2, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1 = 5. Suppose j*l + 0*d - 72 = 4*d, d = 3*l - 58. Calculate the remainder when 58 is divided by l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 2 = m, -14*m - 10 = 5*p - 10*m for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3485\/8148 + 1\/1164. Is -1\/152 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 16*n**5 + 452*n**4 + 2688*n**3 + 5476*n**2 + 3896*n + 672 = 0.\nAnswer: -21, -4, -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 968 + 0.69540146?\nAnswer: 968.69540146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (0 - (-3 + 8)). Let t = p - 6. Let y(r) = 3*r**2 - 1. Calculate y(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-1))\/(6\/(-5) + 1). Solve -2*z + w*b = 8, z = 3*z - b for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -842 or 53?\nAnswer: -842","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 30?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -37415 (c) -0.3 (d) 115\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*d + 7*d = -2795. Which is greater: 196\/3 or d?\nAnswer: 196\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 8:54 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 5)*(-4 + r + 0*r + 2).\nAnswer: 7*r - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 721674024 a multiple of 358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/15, -0.26, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 1 = 2*r, 0 = -3*r + 4*r - 2*n + 2. Suppose -r*u + 50 = -66. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/6*2\/(-5))\/((-2296)\/17712*-9)\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*x**5 + 2 + (1 - 1 + x**2)*(-441*x + 441*x - 35*x**3) + 3*x**2 - 3*x**2 + 13*x**5.\nAnswer: -24*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lxm when three letters picked without replacement from lmxmxmvlvmvxxmxxl.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1530, -1536, -1542, -1548, -1554, -1560?\nAnswer: -1566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q - 2 + 2.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21640227.\nAnswer: 3, 7, 37, 27851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -215\/6 (b) 0 (c) 0.3 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**6\/120 + c**5\/30 - 3*c**2 - 63. Suppose -2*h - 4*k = 6, 4*k + 1 - 7 = 2*h. Give s(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 15*b**2 + 2*b + 15. Let v be o(1). Solve -v*k - 4*w = -28*k - 16, 4*w = -3*k + 17 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1429*q**2 - 418834*q*t - 414273*t - 72 wrt q?\nAnswer: -2858*q - 418834*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -18 (c) 4 (d) -38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**2 + 2*o**2 + 228*o**3 + 2*o**2 - 211*o**3.\nAnswer: 17*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -8 + (45 - 55)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one quarter of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -110 - -129. Calculate the remainder when (-1)\/(-5) - 279\/(-5) is divided by j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -268, -597, -1056?\nAnswer: -1645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -228 divided by -2.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 42*i - 178. Does 2 divide v(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -5*m**2 - 3. Suppose 0 = 4*c - 5*g - 11, -c = -6*c + g + 19. Let d(j) = j**3 - 6*j**2 - 4. Calculate c*l(o) - 3*d(o).\nAnswer: -3*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4\/7 (b) -2 (c) 3 (d) 0.53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1767)\/(-3534))\/(235\/30*9\/(-6))\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000218895 to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 26, -226, -922, -2260?\nAnswer: -4438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 5*c - 36 = 0. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(1\/(11\/132)).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292549 is divided by 297.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41.46 - -45.46. What is the third smallest value in -11, 11.3, l?\nAnswer: 11.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3537386486 and -0.1.\nAnswer: 3537386485.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1173931\/12 + -97823. Find the common denominator of 542\/280 + 2\/(-5) and k.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 5*f - 64. Let p(i) be the first derivative of f*i - 10 - 3 + i**2 + 10. Differentiate p(q) wrt q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 205 - 203. Which is the nearest to 1.8? (a) j (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 248747, 248774, 248801?\n\"Answer: 27*l + 248720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1142178 times -0.1?\nAnswer: -114217.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 + 207 + -221\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -70 + -4. Let z be d\/(-14) - (-8)\/(-28). What is the third derivative of 0*u**5 + u**z + 7*u**2 + 5*u**5 - 3*u**5 wrt u?\nAnswer: 180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 709*u - 474 = 627*u + 346 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 95 - 91. Let f(p) = -6*p + 2. Let k be f(7). Let v = -35 - k. Sort c, -1\/4, v, 3.\nAnswer: -1\/4, 3, c, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -8*q**3 - q**2 - 45*q + 19. Let o(v) = -7*v**3 - 46*v + 17. Let u(c) = 5*f(c) - 6*o(c). What is the hundreds digit of u(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 7*m**2 - 5*m - 4. Let f be o(-6). Is 713\/5 + (-4)\/f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -55 - -656525?\nAnswer: 656440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from {a: 1, m: 1, u: 2, g: 1, e: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 170*g**2 + 1408*g - 5713. Determine m(3).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 + 4 + 21 + j**2 - 9 to l*j**2 + v*j + k and give k.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 158 and 60 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1459 is divided by (287\/28 - 10) + 45\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 42 = -5*w, 0*n - 14 = -w + 3*n. Suppose -w = 3*f - 3*z + 1, -4*f + 12 = 4*z. Solve f*b = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 155 (c) -2\/5 (d) -3.2 (e) -5 (f) -79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, -1\/49, -22 in increasing order.\nAnswer: -22, -1\/49, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1901.68 to the nearest ten.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*z, 4*b - 20 - 26 = -3*z. What is the common denominator of (2 - (-33)\/b)\/(-1) and 125\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j + 110 - 155 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 2*x**3\/3 - x**2 - 3*x + 3. What is the units digit of z(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27521 (base 8) to base 9.\nAnswer: 17548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**8\/420 + h**6\/360 + 2*h**3\/3 + 2*h**2. Let f(d) be the first derivative of r(d). Find the third derivative of f(y) wrt y.\nAnswer: -96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - q**2 - q + 2. Let k be n(0). Find the third derivative of -2*c**2 + c**5 + k*c**5 + 3*c**2 - 6*c**5 wrt c.\nAnswer: -180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 - (-2 - -5 - -12 - (43 + -30)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 192 = -14*c. Let d be 270\/75*20\/c. Calculate the greatest common divisor of 20 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - f + 16 + 20, -4*c = 2*f - 24. Put -0.3, 3, c in increasing order.\nAnswer: -0.3, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1313 (base 4) to base 10\nAnswer: -119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 34\/1 - (1 - -1). Suppose -n - 2*i + x = 0, 3*n - 29 - 70 = -5*i. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.894 - -1535407.06?\nAnswer: 1535380.166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20*3\/9*132\/(-1430)?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06693 * 1.\nAnswer: -0.06693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-3)\/(n\/(n**14*n))*((n\/n**9)\/n)**0 assuming n is positive.\nAnswer: n**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g. Let x be (2 - -3)\/((-35)\/(-2)*(-56)\/(-392)). Let u(v) = v**2 - 4*v - 8. Let h be u(6). Let l(m) = -m**2 - h*m**x + 0*m**2. Calculate z(l(d)).\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 0*h**3 + h**3 + 2 + 0*h**3 + 5*h + 6*h**2. Suppose -a + 1 - 5 = 0. Let f(i) = -i**3 - 5*i**2 - 5*i - 9. Let j be f(a). Determine p(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 66 - 36, -f - 19 = 4*l. Solve 5*t = -k - 13, f*k + 2*t + 19 = -0*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -4*t + 3*o + 54, -o = 4. What is the remainder when 131 is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 0*h**2 - 4*h + 0 - 1\/6*h**4 + 0*h**3. Let d(x) = -72*x**2. Give y(d(v)).\nAnswer: -10368*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 >= -309\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 307544769 to the nearest integer?\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5617 and 81?\nAnswer: 454977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 36 = 2*j, -2*j + 45 = 5*x + 2*j. Suppose r = 3*h - 2 + 6, 5*r - x = 4*h. Which is the biggest value? (a) -4 (b) -3\/2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qrqz when four letters picked without replacement from {z: 2, q: 3, r: 13}.\nAnswer: 13\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oorj. What is prob of picking 1 j and 1 r?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 11:26 PM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -111 + 111. What is the closest to 1 in l, -4, -6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -8*b - 5\/12*b**4 + 0 - 1\/2*b**2 + 0*b**3. Find the first derivative of c(k) wrt k.\nAnswer: -10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/((-306)\/(-27)))\/((-51)\/4).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*o**3 + 4*o**4 + 26 + 10*o**3 - 9*o**2 + 32 - 53 + 2*o - o to the form z*o + s*o**4 + m + n*o**3 + f*o**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i - 17. Let t be m(7). Let f(k) be the third derivative of -k**4\/12 - 3*k**3\/2 - k**2. Let b be f(-6). Sort b, 1\/3, t in ascending order.\nAnswer: 1\/3, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.2 (b) -4 (c) 2\/9 (d) -2\/41 (e) 2\/7 (f) 3\/5 (g) 0.272\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 9*j**2 + 4*j + 1. Suppose -4*c = -4*r + 64, -5*r + 4*c + 37 = -41. Let z(v) = v - 12. Let s be z(r). Is n(s) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3190417 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - c + 2)*(65*c**3 - 40*c**3 + 77*c**3) + (-9 + 30 - 17)*(-4*c**3 - c**4 + 4*c**3) as g*c + o*c**2 + f + i*c**4 + u*c**3 and give i.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 552 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 47\/4*x**4 + 59 + 0*x**3 - 45\/2*x**2 + 0*x. What is the second derivative of h(s) wrt s?\nAnswer: 282*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7479888 + -7479816.00019. Let r = y - 72. What is r rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-6))\/(160 + 214976\/(-1344))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - 36\/(-15))\/(5\/(-20775)). Let h = 4317 - m. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 3:05 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/4*1*(-4)\/(-11). Let t = 23 - 16. Let y = 1 - t. Which is the nearest to 1? (a) 0.3 (b) y (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/432 and -25\/648?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/5*(-16)\/(-48). Which is the third biggest value? (a) m (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 82*b**3 + 104*b**2 - 115*b + 115*b wrt b.\nAnswer: 492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) -2 (c) 324\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45639, 46326, 47009, 47688, 48363, 49034?\nAnswer: 49701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1880\/(-45) + 168\/4.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52558 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 283338 >= 283331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 391432 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xh when two letters picked without replacement from {x: 3, h: 5, v: 2, m: 6, r: 1}?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + (5 - 2))\/1. Suppose -u + l*z + 13 = 0, 4*u - 1 = -4*z + 3. Determine t so that 1 - u + 2*t**2 + 2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 84*f**2 + 8*f - 259. Determine y(0).\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 - 2925*i**2 + 20260*i - 17340.\nAnswer: 5*(i - 578)*(i - 6)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41243 + 114330?\nAnswer: 23032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07103 to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x + 8. Let c be s(-4). Suppose -c*a = a. Suppose a*z = -z + 2. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 - 39. Suppose 0 = -4*t + 12, -5*t + 5 = -2*k - x. Suppose -n + k*n - 156 = 0. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111 - 2*d**2 + 29 + 35 + 47.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 - -42. Let r = 4 - 7. What is the second smallest value in -11, 1, h, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 337105.\nAnswer: 5, 67421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-20)*d*d**1\/d)\/((d\/(d*d*d**2\/d)*d)\/d*d*d**4*d) assuming d is positive.\nAnswer: d**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*h + 13 = j, 5*j = 4*h + 16. Solve j*b + 23 = 7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3\/3 + 8938*i**2 - 85853*i\/3 + 5366.\nAnswer: (i - 3)*(i + 5366)*(5*i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 6*u. Let f(z) = 0*z + 4*z + 7 - 7. What is q(f(k))?\nAnswer: 24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wllwlwwwwhllwhhlwhlh. What is prob of picking 2 w and 1 h?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 836?\nAnswer: -1672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 9*c - 5 - 9*c**2 + 4*c**2 + 4*c**2. Let f be y(8). Let m(o) = 3*o**2 - 4*o + 2. What is the units digit of m(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-2)*(-382)\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(17 + -16 - 1*-1). Let w(m) be the third derivative of g + 1\/135*m**5 + 0*m**4 + 1\/540*m**6 + 0*m + 4*m**2 + 0*m**3. Factor w(h).\nAnswer: 2*h**2*(h + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 5:25 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39.959 - -40. Let i be (30\/45)\/(5*(-6)\/27). Put y, i, 0.2 in descending order.\nAnswer: 0.2, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*147\/6 + -3. Let t = -31 - h. Suppose -d + t + 30 = 0. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 556609.\nAnswer: 556609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i - 161 = -231. Suppose 2*m + 3*n - 17858 = i*n, -5*m - 5*n + 44600 = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (225\/(-1800))\/(2\/4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 6 = -5*b, 4*b + 5*w = 2*b - 1. Solve -3*c - 3*n + 1 = 13, 3*c + b*n + 9 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.04737 * -41.3\nAnswer: -125.856381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - ((8 - 4) + -9)) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-20) + (-4374)\/184680?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(91)*2*2)\/(sqrt(784)\/sqrt(7)))**2 + -2)*-1*-1.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 309566789?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = -4*o + 3*g, -3*o = -2*g. Suppose -11*k + 200 + 75 = o. Suppose 0 = -5*u + k + 50. What is the greatest common divisor of 135 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 21 + 41. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2581893.\nAnswer: 3, 41, 6997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + -2)\/(1 - (-1 + 1)). Solve 0 = -v*p - 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.024 (b) -0.04 (c) -866\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of m**4\/12 + m**3\/6 + 3*m**2. Let r(s) = -s. Let y(n) = -3*r(n) + t(n). What is y(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 2. Suppose 2*s + h*s = 34. Let c be 60\/18*6\/4. Solve 2*b = -3*l + 12, 0 = c*b - 0*l + l - s for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276*b - 273*b - 5*m = 33053, -b + 11046 = 4*m. Does 16 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1736254?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 111101111120101112?\nAnswer: 111101111120101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*x**3 - 61 + 2*x**2 + 83*x - 2*x**4 - 148*x + 64*x + 4*x**3 - x**4 as y + s*x**2 + o*x + p*x**4 + g*x**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 345, 378, 411, 444, 477, 510?\nAnswer: 543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98735 and 871?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 5*o**4 - 8*o**3 + 10*o**2 - 4*o + 3. Let d(k) = 25*k**2 + 1 - 3*k**4 + 4*k**4 - 25*k**2. Let z(t) = -3*d(t) + p(t). Solve z(q) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4\/7 - 10*a**3\/7 + a**2\/7 + 10*a\/7.\nAnswer: -a*(a - 1)*(a + 1)*(a + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 33 - 85 = 0. Let n(d) = -15 + 31 - 2*d**2 - y. What is the smallest common multiple of 9 and n(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 497530 is divided by 99491?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 7*r**2 + r - 3. Suppose -12 = -n - 5. Let f be w(n). Solve b + f*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 45402 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 611713247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72 - 50. Let q = -58 - -41. Let g = q + y. What is the third biggest value in -0.4, -0.1, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/4))**(3\/5)*a**(-1\/3)\/a**6)\/((a*a\/a**2*a*a)**(-34))**(-7) assuming a is positive.\nAnswer: a**(-28931\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*r + 35*r + 594 = -47*r. What is the greatest common factor of r and 5274?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-403472)\/29392 - (6\/(-22))\/(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88127 (base 9) to base 13.\nAnswer: 20794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -0*d + 5, 4*g - 226 = -2*d. Let s = g + -98. Let w = s - -52. What is the greatest common factor of w and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 648102324 divided by 162025581?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3327832 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 5*u**2 + 8*u - 4. Suppose 3*s = -12, -6*o - 5*s + 3*s = 2. What is the remainder when 86 is divided by d(o)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -5*s**2 - 210*s - 2080 = 0.\nAnswer: -26, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -124150 rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 11*y**2\/2 + 1. Let w = -7467 + 7472. Let x(q) = -21*q. Let c(d) = w*x(d) + 9*f(d). Let z(p) = -3*p**2. What is c(z(j))?\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**4 - 3*a**3 - 25*a**2 - 21*a = 0.\nAnswer: -3, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5b + 577548?\nAnswer: 5774dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16089980 divided by -171170?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-26 + 12) - 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 217531 + -1471.78.\nAnswer: 216059.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 36 = -0*v. Let n(m) be the first derivative of -v*m**2 + 3 + 6*m**2 + 5. Let r(g) = g. Give r(n(h)).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 25*k**2 - 397*k - 50. Determine z(16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((-165)\/(-45) - (-2)\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 + -47 - 99) + 67.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 - 3*q - 24 - 24*q**2 + 0*q + q - 8*q to the form i*q**2 + m*q + r and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3158094937 + 3158094854.99999926. Let m = q - -82. What is m rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20368*d**6*z - 12*d**3*z**2 + d**2*z**2 + 4*d**2 + z**2 + 9401*z wrt d.\nAnswer: 2444160*d**3*z - 72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 7*i + 6. Let a(x) = 4*x**2 + 15*x + 9. Let j be a(-4). Suppose 8*n - j*n + 30 = 0. Calculate d(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1038941?\nAnswer: 1038941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g**2 + 2*g. Calculate the smallest common multiple of r(1) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*z + 6, -z + 3*z - 5*h - 13 = 0. Let n be (-1)\/z - (0 - 4). Let y(u) = 7*u**3 + 7*u**2. Let v(x) = -20*x**3 - 20*x**2. Determine n*v(q) + 14*y(q).\nAnswer: -2*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 121517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10772778 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7687.\nAnswer: 7687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s - 1. Let y be k(3). Suppose -y*v - p - 48 = 0, -3*v - 24 = -0*p + 3*p. Does 2 divide 2\/(-5) - 54\/v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -22*o - 32 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 9. Let h be 2*4\/(-24)*0. Which is the nearest to 2\/7? (a) -4\/13 (b) f (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of 7*p**4\/3 + 11*p**3\/2 - 4*p**2 - 3. Differentiate u(w) wrt w.\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + sqrt(475) - sqrt(475)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/3*(-1 - 4*76\/(-32))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 455857*a**2 + 7*a - 7*a.\nAnswer: 455857*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v**2 + 8*v - 24. Let m be q(20). Let y = 1529 + m. Let f = y + -264. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3291 - 1734. Let m = d - 381. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o + 7. Let l(i) = i**3 - 7*i**2 + 2*i - 7. Let s be l(7). Let z be a(s). Suppose 0 = -4*d - z*d + 44. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 3*u = 10. Solve 0 = 6*h - 4*h + u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 20*v - 11\/12*v**4 + 28 + 0*v**3 - 17\/2*v**2. Let k(w) be the first derivative of o(w). Differentiate k(c) wrt c.\nAnswer: -22*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 122 - 38. What are the prime factors of c?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 a factor of 463450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 5*b - 153. Calculate f(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100 + 11000011101101011010?\nAnswer: 11000011101101110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/6 - 1510013*g**2\/6 + 3020023*g\/6 - 503337\/2.\nAnswer: (g - 1510011)*(g - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (270\/(-10))\/1*6*(-3)\/(-27)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1454)\/322 - -4) + (-3)\/(-7).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42707 (base 8) in base 16?\nAnswer: -45c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 17 + 2 = 5*k, -4*k = 3*t - 17. Suppose 0*s = -5*s + 5. Calculate the least common multiple of k and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {y: 1, n: 6, k: 4}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**2 - 2*k**2 + 2*k**2 + (-2*k + 2*k - 3*k)*(-k - k + k) - 6*k + 6*k - 13*k**2.\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4\/3 - 284*f**3\/3 + 275*f**2\/3 + 2276*f\/3 - 1132.\nAnswer: (f - 283)*(f - 2)**2*(f + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 + -23. What is the units digit of k + (-34)\/9 + (-295)\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6923, 6934, 6957, 6998, 7063, 7158, 7289, 7462?\n\"Answer: k**3 + 4*k + 6918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5141 = 7*b - 5134 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1656)\/14 - 10\/(-35). Let a = -113 - z. Suppose -12 = -a*h - 7*h. Solve -3 = -x - h for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.8 - 0.2. Let m = 1 + -0.7. Let n be 4\/5*(-555)\/(-1998)*3*1. Which is the nearest to -1? (a) n (b) q (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/16 and (-9)\/(-45) + (-17)\/4.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*n + 18*n**2 - 39*n**2 + 5*n - 49*n**3 + 22*n**2 in the form y*n**3 + m*n**2 + a + q*n and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -2\/19 (c) 33\/23 (d) -24 (e) 9.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -43, 1, -47, 2 in descending order.\nAnswer: 2, 1, 0, -43, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*13.\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2253*o + 28. Is k(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p - 7 + 7)*(5 + 1 - 3)*(-3*p + 1 - 1 + (0*p + 3*p - p)*(1 - 4 + 4) + p + 2*p - p + (p - p + 2*p)*(4 - 3 + 2)).\nAnswer: -84*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4854.9 + 298556.\nAnswer: 293701.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-72)*60\/(-175))\/(2\/7).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 757988*n**4 - 224743 wrt n?\nAnswer: 3031952*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 7*j - 20 = 0. What is the units digit of (26\/3)\/(j\/45*2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 0.3 (c) -955\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -435*22\/(-99) + 4\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/20 - -3)\/(6\/15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1017 + 1753. What are the prime factors of b?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1335 - 1336.6. What is the biggest value in 3\/4, 10, f?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 351 - -1586. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 3:24 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -81*t**4\/4 - 4*t**2 + 5*t + 104. Find the second derivative of u(q) wrt q.\nAnswer: -486*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 - 2*t - 2. Let j be w(-1). Suppose 6*g - 2 = -j. Suppose -4*x + 11*x - 14 = g. Solve -6 = -2*c - 2*c + x*a, -3*c - 8 = a for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2011238171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7645112?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -2\/7 (c) 1289957\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(17) + sqrt(68)\/sqrt(4) + sqrt(17)) + sqrt(612) + (sqrt(612) - -2*sqrt(612)) + sqrt(17) - (5 + 3*sqrt(51)\/(-2*sqrt(3)))) + -3)**2.\nAnswer: -136*sqrt(17) + 5169\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14822295.\nAnswer: 3, 5, 233, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-23)\/(-5) - (-8)\/20. Suppose 5*t + 2*h = -h + 146, -o*h = 5*t - 140. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**2 + 15*d - 13. Let t be z(6). Suppose 3*q - 348 = -r + q, -t*q + 363 = r. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -711*d**2 - 982*d**2 - 9*d + 12*d - 8*d.\nAnswer: -1693*d**2 - 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.1892251 to one decimal place.\nAnswer: 22.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2196)\/(-976))\/(18\/28).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-26)\/65 + 3934\/10 is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 28\/(-126) - (-146)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/3, 2, 0.021.\nAnswer: 0.021, 1\/3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -9\/2 - 1\/2*z**2 - 3*z = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 51 = 3*q, 49 = -2*y - q - 0*q. Are y and -169\/8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11148147100 to the nearest one million.\nAnswer: -11148000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 3*v - 3 = 2*q, 5*q - v = 25 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of 3\/100*o**5 + 1\/560*o**8 + 0 + 0*o**3 + 0*o - 3\/350*o**7 - 1\/20*o**4 + 1\/200*o**6 + 12*o**2. Find r, given that h(r) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**3 - c**3 + 2*c**3)*((1 - 2*c - 1)*(-2*c + c - c) - 4 + 4 + 2*c**2 - 21*c**2 + 33*c - 33*c).\nAnswer: -15*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 - -41. Let g = -4.8127 - 0.1873. What is the third smallest value in f, g, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**9\/u**(1\/4)*u*((u*u*u**(-2\/3)*u)\/u)\/u*u*(u**6*u)\/u)\/(((u**(-1\/19)*u)\/(u**(-5\/6)\/u))\/(u\/(u\/u**0)*u*u)**(-13)) assuming u is positive.\nAnswer: u**(-889\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4*f + 106, -3*f + 1 = -r + 19. Let p be (0 + (-6)\/15)*(-25)\/r. Let -x**2 + x - 1\/3 + p*x**3 = 0. What is x?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/82792291 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6189060?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -382 - 254. Let j = a + 1269. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1547 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a**2 - 447*a - 15. Let u(w) = -3*w**2 + 447*w + 12. Calculate 4*b(r) + 5*u(r).\nAnswer: r**2 + 447*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (3 + (-5 - (1 - 1)) - 3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 124 - -3865?\nAnswer: 3989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (72\/(-60))\/(-1 - (-12)\/10). Let m = 6 + w. Solve -5*j + 2*j + 6 = m for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - -200. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 5\/2334, 2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (125000\/(-5))\/((-1)\/(-5)). What is t rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -9*m**2 + 1 - 5*m - m - 1 - 3*m**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -5*t + 4*k, 0 = -3*t - 0*k + k - 17 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2277766 (base 8) in base 14?\nAnswer: 122c62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c - 19. Let h be m(-22). Suppose f = -h*l - 2, -12*f + 15*f = 3*l + 42. Calculate the greatest common factor of f and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/18)\/(1610\/(-138))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, k: 4, w: 2, s: 1, r: 7}. What is prob of picking 1 w, 1 s, and 1 r?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 6*u - 12 = 0, -3*s + 263 = -u. Let t = 20 - 28. Calculate the remainder when s is divided by (7 - 3)\/t*-60.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -212*q + 55*q - 581 - 83*q + 47*q - 121*q wrt q.\nAnswer: -314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppzppz. Give prob of picking 1 p and 2 z.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33871*k + 33846*k - 1000 for k.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 108 = -2*m, m + n + 162 = 4*m. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 19*b**2 - 5*b + 17. Let i be n(19). Let v be 4\/(8\/i) + 4. Let z = -16 - v. What is the remainder when z is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2452 * -1310\nAnswer: 3212120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 502*z + 791*z + 97*z + 150891 = -1457*z for z.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 2*k + 3. Let d be i(-4). Let c = d + -23. Let o be 19 + 4\/(c\/9). What is the greatest common factor of 8 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*g - 7, -g = -2*c + 1 - 9. Suppose -23 = 4*i + 3*v, 8 = -g*i - 2*v - 6. Let a = -113 + 116. What is the second biggest value in i, -0.03, a?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 2*k - k)*(-18*k**3 - 2 + 0*k**3 + 3*k**3).\nAnswer: 30*k**4 + 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*d**2 + 13*d - 13*d)*(-1 - 5 + 3)*(-1 - 2 + 1)*(0 + 1 + 1 - 5 + 5 - 2 + (-3 + 4 - 2)*(-1 + 2 + 1)).\nAnswer: 132*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 236 and 380255?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15 + 153)\/(5\/((-80)\/12)). Is c > -184?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/6)\/(5\/(35\/(-14)))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2 - 14*u + 9. What is the units digit of g(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l**3 - 7*l**2 + 31*l + 100. Calculate the remainder when i(-10) is divided by 23.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -32*x - 142. What is the remainder when g(-12) is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 197.2, -5\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67013 is divided by 153.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.058 - -3.058. Which is the nearest to 0.3? (a) 4 (b) i (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y + 8. Let i be u(6). Suppose -3*k - n = -10, -4*k + i*k = 4*n - 10. What is the lowest common multiple of k - (0 - 2 - -1) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 8. Suppose -2*r + c = 3. Factor 5*n**r - 5*n**3 + n - n**3.\nAnswer: -n*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence okk when three letters picked without replacement from {i: 1, l: 2, s: 1, k: 2, o: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 8307 - 3247 = -42652. Calculate the remainder when y is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.545 and 3.714731?\nAnswer: 4.259731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 10*j - 4. Let r(q) = -12*q + 3. What is 6*r(n) + 4*u(n)?\nAnswer: -32*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**3 - 46*v**2 - 50*v - 30. Let k be o(-22). Is 101 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4312 (base 16) to base 5.\nAnswer: 1022140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33615117?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*t - 19 + 18, 3 = u - 2*t. Let v be (195 - (1 + -2))\/1. What is the tens digit of u*(1 - 2) + v + 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12388?\nAnswer: 2, 19, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 154784047 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8242670*b + 8242790*b + 1320 = 0 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7746288 - 33?\nAnswer: -7746332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 462 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 797050 and 5225.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.005 - -0.095. Let i = 3.91 - -0.09. Sort t, i, 1\/5 in increasing order.\nAnswer: t, 1\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 6. Suppose o*t - 8*t = -210. What is the greatest common divisor of 42 and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3\/8, 9, -65, 2, 0.3 in decreasing order.\nAnswer: 9, 4, 2, 3\/8, 0.3, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 11:56 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-26 - -11)) + 0 + -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 3*x - 6. Let g be h(-5). Let l be g\/7*(-21)\/(-6). Factor 2\/3*z + 0 + 2\/3*z**l.\nAnswer: 2*z*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1584) + sqrt(1584)*-2 + sqrt(33)\/sqrt(12).\nAnswer: -23*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of o**3\/6 + o**2\/2 - 9*o. Let z be g(4). What is the third derivative of -7*w**6 - z*w**2 - 61*w + 61*w + 12*w**2 wrt w?\nAnswer: -840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-4)*7*5*62\/155\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.68364 to zero dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14d1 + 10?\nAnswer: 1501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9}. What is prob of sequence gg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1321 and 123624?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 419.7512l to millilitres.\nAnswer: 419751.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -5. Let h = -12.878 + 13. Let y = -0.078 - h. Which is the smallest value? (a) y (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5 + 1. Suppose -376 = -2*k + n*x + 2346, -5*k + x = -6825. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - 154681924493.\nAnswer: -154681924478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o - 4. Let u be q(-6). Calculate the highest common divisor of u and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 9*m**2 + 63*m - 563. Give r(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - ((-12)\/(-15))\/((-12)\/30)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.5 - -5.5. Let s be 7 + 100*-2*(-99)\/(-2838). What is the third smallest value in s, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + h + 167 = -3*u, -5*u = h - 173. Let o = u - -42. Let q = 91 - o. Solve 0 = -0*n - 3*n - q for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57 - 14*p**2 + 57)*(-7*p**2 + 15*p**2 - 45*p**2) - 3*p**4 + 4*p**4 - 2*p**4.\nAnswer: 517*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/111706 and 25\/2828.\nAnswer: 223412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 3*l + 2 = 0, -4*r + 2*r = 5*l + 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 159 + -1e8?\nAnswer: -8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 5*q + 2, -2*q - 20 = 3*q. Calculate the remainder when 35 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1482.\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68373852.\nAnswer: 2, 3, 71, 80251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 92\/20 - 6\/(-15). Let x(h) = -2*h + 41. Let j be x(19). Solve -2*v = 4*p + j*v - 15, -p = -z*v - 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175.431 rounded to one dp?\nAnswer: 175.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 260428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 369 and 354172391?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h - 2*h**3 + 5*h**3 - 2 + 0*h - 3*h to the form u + j*h**3 + x*h**2 + w*h and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 1 + 1)*(73*o**2 + 4*o**2 + 66*o**2) - 4*o**3 + 6*o - 4*o - o**3.\nAnswer: -148*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6996 - 3862. What is the thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -12427*f + 49680. Calculate c(4).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 1402 - 322. Calculate the common denominator of (-6)\/(n\/(-133))*3 and 65\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1*(-2 + 0))\/(31 - 32). Suppose 0 = 2*d + g*a - 22, 4*d - d - 39 = -a. Suppose -d*s + 1233 - 365 = 0. Is s greater than 61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 t when four letters picked without replacement from tttqqqqtqqqqqqtqttq?\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(((i*i\/((i*(i*i**(-1\/2)\/i)\/i)\/i)*i)\/i*i)\/i)*((i\/(i*i**(-4\/5)*i))\/i)\/i*(i\/(i*i**5))\/(i**(-2\/9)*i) assuming i is positive.\nAnswer: i**(-943\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from bwwwwowbbbwiwioiii.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 2) + (-16 + 6 - -5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3 + 540*t**2 + 68628*t + 1634516.\nAnswer: -4*(t - 221)*(t + 43)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 251699 to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -77 by -50958.\nAnswer: 77\/50958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 15 = 3*d, 3*p - 86 = -86. Solve -2*n + 16 = -4*n - 2*q, d*n + 37 = -4*q for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**3 - 48*w**2 + 55. Let k be z(-24). Let a = -168 - -223. Is a at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2387*h. Let b(u) = -u**2. Calculate b(r(i)).\nAnswer: -5697769*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -0 - 8. Suppose r - 2 = 1. Let o(n) = 2*n - 1 + r*n - 3*n. Give o(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -0.99.\nAnswer: -0.297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -16. Which is bigger: 14 or c?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81052.\nAnswer: 2, 23, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 20062 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - y**2 - y - 15. What is j(0)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2002, 3, -1\/32.\nAnswer: -1\/32, 3, 2002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 - 1000*h + 22000.\nAnswer: -5*(h - 20)*(h + 220)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxhhhxhz. What is prob of picking 4 h?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 759 and 11572979?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 88 = -360. Let u = x + 112. Factor 2\/5*d**2 - 2\/5 + u*d.\nAnswer: 2*(d - 1)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 1. Let m(o) = 2*o**2 + 4. Let q(a) = -a**3 - 9*a**2 - 6*a + 6. Let d be q(-8). Let c be -5*((-36)\/d + -3). What is c*b(i) + m(i)?\nAnswer: 2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5013*-0.9.\nAnswer: -4511.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.13 - 5.13. What is the closest to -2\/3 in 2, -2\/19, o?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30\/90)\/((-1)\/(-6))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1594989047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5*f - 3. Let u(q) = -5*q - 4. Let m(b) = -6*o(b) + 5*u(b). Let t(g) = 1 + 2 - 3 + 4 - 9*g. Let h = -10 - -5. Give h*m(d) - 3*t(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-3*sqrt(45))**2 + -4 + (sqrt(15)\/sqrt(3))**2 - (sqrt(30) + (sqrt(30) - (1*sqrt(30)*3 + sqrt(30))))\/(sqrt(30)\/(sqrt(5) - sqrt(45)))).\nAnswer: -8*sqrt(5) + 812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 8 - 4) + -2. Let p(a) = -a**3 - a**2 + a. Calculate p(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7488 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -5, 106, -1 in ascending order.\nAnswer: -5, -1, 3, 4, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -45223, -45216, -45209, -45202, -45195?\n\"Answer: 7*h - 45230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200 greater than 1201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12441, 24882, 37323, 49764?\nAnswer: 62205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2. Let w(v) be the third derivative of v**4\/24 + 5*v**3\/2 + 149*v**2. Give w(t(d)).\nAnswer: -d**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8527542*d**3 - 1719747*d**2 wrt d.\nAnswer: 51165252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 10*r**2 - 18*r - 27. Let n be z(12). Calculate the highest common factor of n and 225.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216609317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 90.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283232?\nAnswer: 2, 53, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1807305 to the power of 1\/2, to the nearest integer?\nAnswer: 1344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -102309 by 1941.\nAnswer: -34103\/647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 277360 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17295294?\nAnswer: 2, 3, 97, 29717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2. Let o(l) = -77*l**2 - 6*l - 2. Let y(r) = r + 1. Let j(a) = o(a) + 5*y(a). Calculate j(b(n)).\nAnswer: -308*n**4 - 2*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -89070 to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8561569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -14949, -31529, -51351, -76035, -107201, -146469?\n\"Answer: -270*w**3 - w**2 - 14687*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a millennium in centuries?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 6a?\nAnswer: -6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 9:35 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n + 4*v - 13, -n + 5*v - 17 = 3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 505 - 496. Which is bigger: r or -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 60*f + 318. Give g(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 - -41. Suppose 0*r + 48 = 4*r. What is the remainder when (-3)\/(-18) + 562\/r is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + q + 3. Suppose -b + 4*p = 0, b + 3*p = 2*b - 1. Solve 3*c - 4*r = -2*c - 8, -2*r + b = q*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26 * 164.\nAnswer: -4264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -51150 divided by -10230\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3*y**3 + 35676*y**2 - 106064748*y = 0.\nAnswer: 0, 5946","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 6*s**2 + 2*s + 3. Determine o(7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 277455061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65.083 + -64.8. What is u rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a - 6. Let w be l(6). Suppose -4*m + 12 = -w. Suppose r = 6*r - 25. Solve k - 2*d = -5*d - 1, r*d - 3 = m*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3747971\/148614 - 3551\/141. Calculate the common denominator of l and 11\/306.\nAnswer: 9486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4011 (base 5) in base 10?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 311, 2, -3, 3 in increasing order.\nAnswer: -3, 2, 3, 4, 311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 135 and 416205?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 1 + 1)*(-6 + 5 + 5)*(a**3 - a**3 + a**3).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11708 by -11708.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/55 + 30\/2200*-8?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 17 - 12 + 11*y - 9*y - 5. Let i(s) = -1 + 1 + 4*s. Give i(a(v)).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 163, 41, 3, -4 in ascending order.\nAnswer: -4, -3, 3, 41, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of z**2 + 1\/6*z**4 + z**3 - 3\/20*z**5 + 1\/120*z**6 + 0*z + 0. Let g be f(9). What is the greatest common divisor of g and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4047*h + 2180*h - 148460 = 765*h - 248*h for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-4)*108\/9126*-52.\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (260\/(-3276)*-3)\/((-1*5)\/(-1))\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -575458*m**5 - m**3 + 590890*m**2 wrt m?\nAnswer: -34527480*m**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*m + 16 = -m, 3*q - 4*m - 13 = 0. Let l = q + -6. Put 1, l, 3 in decreasing order.\nAnswer: 3, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 - 2*o**2 + o**5 - 2*o**5 - 2*o**5 + 2*o**5 + (-o - 1 + 1)*(2*o**3 + o**4 - 2*o**3).\nAnswer: -2*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -2002012?\nAnswer: -2002021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 8119 = 4688. Suppose -w = -7*h - 191. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 - 55 = -5*g. Suppose -3*c + 4*q + 6 = 0, 5*c - q = -3*q - 16. Is g*-2*1\/c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1763.72 rounded to zero decimal places?\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114, 231, 376, 561, 798, 1099, 1476, 1941?\nAnswer: 2506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -3*x**6\/10 + 3*x**5\/5 + x**4\/2 - 2*x**3 + 3*x**2\/2 - 206*x. Determine y, given that l(y) = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 7)\/((-3667)\/57 + (-42)\/9).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (412\/515)\/(2\/85)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u + 1. Let p be 2\/(-3) - 44\/6. Suppose -39 = -5*a - 2*q, 5*a - 2*q = 9*a - 30. Let f = p + a. Let t(y) = 2. Give f*t(g) - i(g).\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 173441 to the power of 1\/2, to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -1\/37, -6 in descending order.\nAnswer: -1\/37, -1\/2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 1\/2*u**2 + 1\/15*u**5 - 1\/4*u**4 - 8 + 1\/9*u**3 - 2\/3*u. Find a, given that f(a) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-26) - (-300)\/(-78). Let t(b) = -b**3 - 6*b**2 - 10*b - 5. Let r be t(w). Solve -j + 10 = 5*g - 3*j, r*g - 6 = -5*j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -462*p + 426*p - 38 = 250 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20\/6619 or 0?\nAnswer: 20\/6619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -16*w - 44*w + 244. Solve 4*h - 4 - 4 = -4*u, 2 = -2*u - w*h for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -539 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -0.2, -3\/7, 1\/35, -2\/61?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/969, -36\/5, -964 in ascending order.\nAnswer: -964, -36\/5, 1\/969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 30*z**2 - 14*z + 88. What is k(30)?\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r - 23. Let x(k) = 24*k + 828. Let z(m) = -36*j(m) - x(m). Let h(q) be the first derivative of -2*q**3 + 6. What is z(h(b))?\nAnswer: -72*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6912332 to the power of 1\/2, to the nearest integer?\nAnswer: 2629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4292, 4285, 4274, 4259, 4240, 4217, 4190?\nAnswer: 4159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(832) + -4 + (sqrt(208)*2 - (0 + sqrt(1573) + sqrt(1573) + sqrt(1573))))**2.\nAnswer: 102*sqrt(13) + 3766","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 44763 to the power of 1\/2, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (-26)\/(-22) - (-234)\/(-286). Let u(w) = 43*w**2 - 10*w + 1. Is 52 a factor of u(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12375 by -25.\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 5*c - 18, 3*f - 2*c + 6*c = 2. Let p(v) = -v - 2. Let o(l) = -2. Let r(w) = f*p(w) + 3*o(w). Calculate r(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 702674075?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**2 - 2*y**2 - y**2)*((-6 - 10 + 4)*(4 - 2 + 1) + 3 - 4 - 4).\nAnswer: -41*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -722 = -20*r - 622. Let j(w) be the third derivative of -5\/6*w**3 + 10*w**2 + 0 + 7\/24*w**4 + 0*w - 1\/60*w**r. Give j(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*k - 25 = 64*k. Suppose p - 14 = 3*v, v + 0*v = k*p. Sort p, 5, 4 in descending order.\nAnswer: 5, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -340525*y - 340515*y - 340518*y - 8 + 1021567*y.\nAnswer: 9*y - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8612090?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -132*76\/(-57)*(134\/(-134) - 5\/(-8))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23956515 and 9306.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h. Let z(v) = -31*v + 197. Let a(t) = -61*t + 361. Let w(x) = 6*a(x) - 11*z(x). Give q(w(m)).\nAnswer: 75*m + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -x**5\/20 - x**4\/8 - 3*x**2 - 3*x. Let y(i) be the first derivative of w(i). What is the second derivative of y(f) wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5512856463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 391001?\nAnswer: 13, 19, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 99, 7, 0, -3, -4297 in decreasing order.\nAnswer: 99, 7, 0, -3, -4297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*3*2\/(-3). Let m(k) = -k - 2. Let z be m(-2). Suppose -5*y + 444 + 36 = z. Calculate the highest common factor of i and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 95447 + -60946. What is the thousands digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -502278, -1004439, -1506600, -2008761, -2510922, -3013083?\nAnswer: -3515244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of t*x**2 - 2*t*x - 55028968*t + 1012068*x**2 + 3*x wrt x?\nAnswer: 2*t*x - 2*t + 2024136*x + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -4 + (-405243)\/(-810) + 3\/(-10) is divided by 170?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/128 and -97\/416?\nAnswer: 1664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -764, -756, -748, -740, -732, -724?\nAnswer: -716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 9 = 3*q - 2*q, -33 = -4*q + 3*p. What is the smallest common multiple of 96 and q?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 1222*c - 1217*c - 1 as d*c + h and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63259\/26 - 4871\/2. Sort 0.1, 0, d, 1.\nAnswer: d, 0, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t + 25. Let h be x(-10). Suppose 7 - 32 = -h*o, j = o + 1185. Suppose w = -9*w + j. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 49*l - 76. Let k(j) = -122*j + 190. Give -5*k(m) - 12*p(m).\nAnswer: 22*m - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/((v\/(v\/v**1))\/v)*v)**(-18\/7)\/(v**(3\/2)*v**0*v))**24)**(-12) assuming v is positive.\nAnswer: v**(15408\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 132*x. Let m(g) = g + 7. Calculate m(t(k)).\nAnswer: 132*k + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 5, -2, -203, -4.\nAnswer: -203, -5, -4, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4975605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -2\/7, -2\/15, -3\/964, -4\/3, 0.3?\nAnswer: -3\/964","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 131 (base 10) to base 7\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -4*m**3 - 7*m**2 - 8*m - 6. Suppose -22*a + 4 = -23*a. Is k(a) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 7 = 3*r - 25, -3*r + 12 = 0. Let n = i - 0. Let x be n - (-2 + -3 + 5). Solve 2*k + 2 + 11 = 3*a, k - x*a = -19 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1039801\/(-574)*(1 - (-3 + 2)). Let p = -1398775 + 12556415\/9. Let v = p - z. What is the common denominator of -46\/13 and v?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36146 at most 36145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 173240423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*n = -2*z - 2, 0 = 5*z + 3*n - 12. Suppose 16 = d - 3*j, 5 = -z*j - 7. Sort 5, -1, d.\nAnswer: -1, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*2\/(-16)*((-432)\/(-6))\/(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2726 at least as big as -2756?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2 + sqrt(272)*1 - (-1 + sqrt(272) + -1)) + (sqrt(2448) + sqrt(2448)*-2*-3 - (sqrt(2448) - (2 + (sqrt(2448) - (sqrt(2448) + 0)**2)))).\nAnswer: -2438 + 84*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19314 divided by 174?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10034222 (base 5) to base 11\nAnswer: 55589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1151 + -463. Does 14 divide u\/7 - 28\/98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9279 + 11723 = -506*x - 13748 for x.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -17 + 24 + 2*p + 0*p - p**2. Determine q(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 23*a - 7. Let g be r(18). Let u = -41 - g. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -207024?\nAnswer: -207030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -b**7\/360 - b**6\/120 - b**5\/180 - b**3\/6 + 4*b**2. Let h(c) be the first derivative of u(c). Factor h(y).\nAnswer: -y*(y + 1)*(7*y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, a: 4, o: 2}. What is prob of sequence oh?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 4*q - 1. Let j be v(-3). Let x(y) = -4*y - 6*y**j - 5*y**2 + 4*y**2 - 16 - y**3. Calculate the remainder when x(-7) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 40 = 14*o + o - 11*o, -o = -8*j - 62 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -153.4 + 168. Let a = n - 15. What is the closest to 0.1 in a, -1, -3\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 + -9)\/((-2)\/5). Suppose 3*y - m = -29. What are the prime factors of 10 + y - (2 + -40)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -32df81?\nAnswer: 32df80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, l: 1, v: 2, b: 1}. What is prob of sequence vblh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**5\/30 + 13*j**2 + 2*j. Let q(s) = -3*s**2. Calculate u(q(f)).\nAnswer: -18*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(((6\/(-10))\/((-15)\/100))\/3).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*f + 3*u, 5*u + 9 = f - 0*u. Let r = -17 + 17.09. What is the closest to -1 in r, f, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -186.\nAnswer: 1\/186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 4 + -1 + (39 - 42).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*r = -6*r - 24, -21 = 4*o + r. Put o, 0.1, 1\/9 in descending order.\nAnswer: 1\/9, 0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -131*c**3 - 4*c**2 - c - 4. Let s(i) = 262*i**3 + 9*i**2 + 2*i + 9. Give -9*r(l) - 4*s(l).\nAnswer: 131*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 96 by -48.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z**(-4\/9)*z*z)\/z)\/(z**(-3\/2)\/z))**(-2\/15)\/((z**(-1\/2))**(-3\/13)*z**(-6)\/z*z*(z*z*z\/(z*z*z*(z\/(z**(-5)\/z))\/z))\/z) assuming z is positive.\nAnswer: z**(43327\/3510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 557103?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 4*c**3\/3 - 5*c**2\/2 + 4*c - 18. Let w(g) = 3*g**2 - 4*g + 3. Suppose 0 = 2*b - 4 - 0. What is b*d(q) - 3*w(q)?\nAnswer: -q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112101 - 112101111110?\nAnswer: -112100222002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -367 * 249.3\nAnswer: -91493.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*3986.\nAnswer: -11958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 + 19. Let k be (-4)\/18 - 47\/z. Suppose c + k*y = -3, -48 = -5*c - 7*y + 3*y. Calculate the lowest common multiple of 4 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*f + 3*f - 4*f)*(-2 + 8 - 1) - 2*f - 2*f + 2*f + (0*f - 3*f + 2*f)*(-4 - 5 - 2))*(1 - 1 + 2*f).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**4)\/w)**(3\/23)*w**(-9)\/w*w**(-9))**30 assuming w is positive.\nAnswer: w**(-13470\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -0 - 12. Let x be (-1)\/z + 110\/12. What is the highest common divisor of x and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f*l**3*m + 4*f*l**3 + 263755*f*l + 4832344*l**3*m + 4*l**3 wrt m?\nAnswer: -2*f*l**3 + 4832344*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2472415*52\nAnswer: 128565580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(3) - (sqrt(432))**2) + 4.\nAnswer: -1724 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 3)\/(1\/(-2)). Let u(a) = 16526 - 16527 - 255*a + 263*a. What is u(o)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18157675 to the power of 1\/3, to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**5\/20 - 2*j**4\/3 + j**3\/6 + 11*j**2\/2 + 2*j. List the prime factors of m(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10130101 (base 4) in base 7?\nAnswer: -104020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.0654*-25.326\nAnswer: -1.6563204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1618 is divided by 806.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 277 + -277. Let f(y) be the second derivative of 3*y + 0 + 0*y**2 + x*y**3 - 5\/4*y**4. Let j(m) = 2*m. Determine f(j(g)).\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1209.2 - 0.2.\nAnswer: -1209.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 7:41 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1541*o - 1545*o + 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**3 + 29*s**2 + 16*s + 1. Let f be y(15). Let z(o) = 4*o + 4. Let i be z(3). Calculate the greatest common factor of f and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ehhzezheeeeeeteeeeet. Give prob of sequence hh.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-73 - -12) + 35\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1314 is divided by 110.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 572 and -517.74?\nAnswer: -296147.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 49313059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 6*g. Let u(p) be the second derivative of p**7\/1260 - p**4\/12 - 3*p. Let f(x) be the third derivative of u(x). Determine s(f(d)).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -8*o**3 - 257. Let k(y) = -y**2. Determine 6*k(r) - s(r).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8548*v*x**3 - 2*v*x**2 + 8*v + 32*x**3 + 29*x - 12 with respect to v.\nAnswer: 8548*x**3 - 2*x**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -2.4 (c) 42.081 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -8\/9, 1\/8, 2\/5?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -136, -4, -5, 2 in decreasing order.\nAnswer: 2, -4, -5, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.0612 rounded to two decimal places?\nAnswer: -2.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 797\/4 - 198. Let p be (1\/15)\/((-2)\/(-6)). What is the nearest to -1 in -0.4, m, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m. Suppose 0 = -3*p - 6 + 15. Suppose -5*z = 4*k - 2, -k - 12 = p*z - 8*z. Let j(b) = 2*b**2 + 4*b**2 - 5*b**z - 2*b**2. Determine t(j(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 12:11 AM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c - 2. Let g be w(-7). Solve -2*r = 8, -2*r - 3 = -2*d - g for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o. Let a(k) be the third derivative of -1\/12*k**4 + 3*k**2 + 0 + 0*k + 0*k**3. Calculate a(m(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -11*v - 5. Suppose -l = -3 + 9. Let a be ((-3)\/(-2))\/(-3)*l. Let u(d) = -5*d - 2. Let j be (-1 + 0)\/(6\/42). Calculate a*k(t) + j*u(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4239 - 1723 = 0. What is the highest common divisor of 74 and v?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + 5*-2*sqrt(2448))**2*-4 - -5*(sqrt(2448)*-3 + 1).\nAnswer: -793147 - 180*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + (-2)\/(-1))*89358\/12. Let c = 21894 - x. Suppose 0 = -h - p + 2335, 2*h + p = -h + c. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**2 - 29855*a - 1097790 = 0 for a.\nAnswer: -5934, -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 19*n - 492. Calculate k(16).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 321 divided by -107\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3389, 6724, 10057, 13388, 16717, 20044, 23369?\nAnswer: 26692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -5*y**2. Let n(f) = 43*f - 16. Calculate n(g(i)).\nAnswer: -215*i**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2*x = 12. Suppose -l = 3*l + 2*j - x, -6 = -5*l - 3*j. Calculate the remainder when (1 - l) + 52 + -5 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2520 is divided by 2458.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2 + 1)\/(2 - 3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (324\/(-132))\/((-701)\/23133)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 59557307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/(-10) + 379\/(-126) + 2\/7.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -251*o + 294 = -244*o. Calculate the greatest common divisor of o and 266.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by 3837.\nAnswer: -13\/3837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 2*s)*(2*s - 4*s + s) + (-s + 0 + 0)*(8 + 2*s - 8) as r + d*s**2 + i*s and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 18*a**3 + 452*a**2 + 1840*a + 6. What is u(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u + u - 13*u - 7.\nAnswer: -14*u - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j + 294669. Let f(i) = -10*i**2. Determine r(f(v)).\nAnswer: 10*v**2 + 294669","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-261520)\/(-25) + 36\/30.\nAnswer: 2, 5231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 88803 and 0.5.\nAnswer: 44401.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of l**4\/12 + 4*l**3\/3 + 8*l**2 - l + 121. Determine r(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 - 35.82. Let a = o - 5.18. What is the second biggest value in -3\/2, 0.5, a?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/110520 and -37\/192?\nAnswer: 884160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 146065 and 23318?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmowmmocmom. Give prob of sequence cw.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - l - 11. Let n = 16 + l. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, q: 4, t: 2, x: 6, p: 1}. Give prob of picking 1 g, 1 x, and 1 t.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 1) + (-18 - -29) + -6 + -25.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 3 (b) 26 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78075171 is divided by 39037576.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*w - 4881, -7320 = -3*w - y - y. Suppose -w + 6508 = 19*n. What are the prime factors of n?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/(-63))\/(15\/10)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 65 = -55. Suppose -2*v - 3*v = l. Is (-1*2)\/(v\/140) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + 155 + -46 + -57?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -251*v**3 - 115*v**3 - 21*v**3 - 134*v**3 - 54*v**3.\nAnswer: -575*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*n**6 - 5652381*n**4 - 9*n**2 + 1830288*n - 3.\nAnswer: -840*n**3 - 135657144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 31\/3 - (-14)\/21. Let v = -8 + h. What is the second biggest value in -2\/3, -0.4, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171411228 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - n = -8. Suppose z - 3 = b, -3*z + z = -4*b - 2. What is the first derivative of -2*w + 6*w**n + w**4 + b*w + 6 wrt w?\nAnswer: 28*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 18. Suppose 2*c - 4*y + 4 = 0, -2*c - 1 = 3*y - i*y. Let k(o) = -o**2 - 14*o - 11. Let z be k(-13). Solve -l = -b, -5*l + c = -z*b - 2*l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 313 + -2)*10\/(-30). Suppose 0 = 3*z - 2*c - 406, -c - 3 - 2 = 0. Let r = z + l. What is the highest common factor of 203 and r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-5\/9)*v*v*v**(-1\/7)*v*v**(2\/11)\/(v**(1\/7)\/v) assuming v is positive.\nAnswer: v**(2315\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2311163201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 53, 54, 55?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 4*p - 4*z - 2 = 0, 0 = -3*p + 3*z - 12 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 9. Suppose -l + 4*l - 51 = 0. What is the remainder when ((-2)\/6)\/(r\/279) is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2910065 + -60?\nAnswer: 2910005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 27, 6, 35, -1, 0.29, 0.1?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**2\/11 - 1054*i\/11 + 3784 = 0. Calculate i.\nAnswer: 43, 484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 + 3 = 3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56741 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 76 + -92. Let z be 1\/(x\/6 - -3). Solve m - y = -2*y + 5, z*m + 5*y = 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -169920786 divided by 1082298?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15219 + 15504. Calculate the greatest common factor of 1083 and u.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t + 41*t**4 + 27*t**2 + 5*t**3 + 19*t**4 - 63*t**4 - 119*t**2 - 54*t**2 to b*t + y*t**3 + h*t**4 + v*t**2 + j and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d + 2. Let r be k(-7). Let y(a) = -4*a - 10. Let t(f) = -5*f - 9. Let i(l) = 5*t(l) - 6*y(l). What is the tens digit of i(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1558 and 6560.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, u: 17}. Give prob of sequence uu.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115571738?\nAnswer: 2, 941, 61409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/5))**(5\/3) assuming t is positive.\nAnswer: t**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.119 + 0.179. What is v rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 7 = 5*w + 3*y, 0 = 2*w - 3*y - 1. Suppose -w*g + 0*g = -h - 4, 1 = -3*g + 5*h. Sort g, -1, -4 in ascending order.\nAnswer: -4, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/5 + (-306)\/(-15). Let h = -30 + x. Let m = h - -20. Is m a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23797656 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -10*p**3 + 31*p**2 + 84*p - 159. Is i(-24) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -14, -30, -48, -62, -66?\n\"Answer: u**3 - 7*u**2 - 2*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-2\/7))**(-30\/7))**(1\/17)*(w*w\/w**(-6\/5)*w**2)**(-9\/5) assuming w is positive.\nAnswer: w**(-201672\/20825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11718440 and 2343688.\nAnswer: 11718440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31 or 3422\/109?\nAnswer: 3422\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(3)*3 - sqrt(3) - sqrt(36)\/(sqrt(12)*-1).\nAnswer: 3 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 349 = -5*k - 111, 3*k + 276 = -2*h. Are k and -92 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1012049*l**5 + 3*l**4 - 25804146*l?\nAnswer: -20240980*l**3 + 36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*h = 4*h - 34, -5*h + 55 = 5*y. Suppose 0 = p + 4*f - 16, 0 = p + 3*f - 16 + 1. What is the remainder when 1\/y*-10*-27 is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 - 126*a**2.\nAnswer: a**2*(a - 126)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (143 - (-86 - -55)) + -109?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684)*1 + sqrt(2736) + 0)*-6)**2.\nAnswer: 221616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -0*n + 10, -n - 2 = r. Let t(i) = -36480*i**2 - r*i - 15839*i**2 - 31355*i**2 + 5. Let d be t(-7). What is d rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**4 - 70*i**3 - 915*i**2 + 4340*i + 39200.\nAnswer: 5*(i - 20)*(i - 8)*(i + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 2*v = 2, -4*v = q - 3 - 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/(-6)*1 + 1. Let o = 6.759 - 12.759. Which is the closest to -2? (a) -3\/8 (b) x (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 + 20245*c**2 + 263342*c + 243096.\nAnswer: -(c - 20258)*(c + 1)*(c + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 52 in 3\/5, 21, 0.7, 0.3, 0.5?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 177\/40, 2\/3, -2?\nAnswer: 177\/40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -6.97. Let f = -5.03 - m. Let a = 4.343 + -0.343. Put f, a, 1 in decreasing order.\nAnswer: a, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 356 and 925956?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times -284?\nAnswer: -3124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 24, 18, -10, -72, -180, -346, -582, -900?\n\"Answer: -2*w**3 + w**2 + 5*w + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60*r*x**4 + r - 2*x**4 - 3*x**2 - 5*x wrt x?\nAnswer: -1440*r*x - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 a factor of 21267315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1587 - 7*m + 1587)*(11 - 7 + 7)*(4 + 1 - 3)*(2 - 1 + 1)*(2 - 6 + 2)*(3 - 7 + 2).\nAnswer: -1232*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1199 - 1194. Let l = 9 - 16. Let n(m) = -m**3 - 7*m**2 - m. Let o be n(l). Sort u, -4, o, 1 in increasing order.\nAnswer: -4, 1, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.4 = 45304736\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -85. Let j(u) = u - 7. Calculate the remainder when b is divided by j(18).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 193 = -a, 5*a - 6*v + 5*v = 947. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 274, 560, 846, 1132, 1418?\nAnswer: 1704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, 1086, 767?\nAnswer: 767","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k**4 - 220*k**3 - 7935*k**2 - 15190*k - 7480 = 0. Calculate k.\nAnswer: -22, -1, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4 + 5)*1\/7)\/(25\/(-300)).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.23256 - 3.76753. Let i = -6 - m. What is i rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.084 rounded to 1 decimal place?\nAnswer: 40.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - p = -2*g + 26, -3*g + 70 = 5*p. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*u + 12, -2*o + 744*u = 741*u - 18. Solve o = 4*d + 3*x + 31, -2*d - 2*x = -4*d + 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/4 (b) -7\/3 (c) -3\/2 (d) -2\/13 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -15*p**5 + 55*p**3\/3 + 145. What is the third derivative of t(a) wrt a?\nAnswer: -1800*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 185 + 188 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -d0a?\nAnswer: -d0e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -330, 119, 652, 1311, 2138?\n\"Answer: 7*a**3 + 400*a - 737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 10:52 AM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 126*x - 66*x - 2700. Suppose 0 = 3*d - d - 54. Let o = -4 + d. What is the remainder when x is divided by o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3292681.\nAnswer: 7, 19, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -261 (c) 39 (d) -5 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/4)\/((-21)\/(-6)). Let n be 3\/8 + 60\/(-672). Which is the second biggest value? (a) 2\/9 (b) q (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -969278, -1938426, -2907574, -3876722?\n\"Answer: -969148*n - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*z + 642 = 0, 3 - 1 = -z. Let l = -424 + d. Let s = 365 + l. Calculate the highest common factor of s and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kg when two letters picked without replacement from jjtjgjggegjk?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 68888705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wffdd. Give prob of picking 1 d and 2 f.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 957928*-0.027.\nAnswer: -25864.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a**2 + 4*a + 4. Suppose 3*b = -4*p - 66 - 33, 0 = -5*p - 2*b - 129. Let j(y) = 21*y**2 - 27*y - 27. Give p*u(c) - 4*j(c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9863 or 9864?\nAnswer: 9864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72503, -580815, -1960665, -4647821, -9078051?\nAnswer: -15687123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 4*a + 63 = 15*p - 12, -14*p + 0*a + 65 = 3*a for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 divided by 6?\nAnswer: 56\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.570107 weeks in seconds?\nAnswer: 5788000.7136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*n - 100 = -7*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1801, 1892, 1981, 2068, 2153, 2236, 2317?\nAnswer: 2396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, 5, 27, 53?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - 3 - -4) + 7 - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3*m - 4)*(-1 + 1 - 2*m**4)*(-3 + 0 + 2).\nAnswer: 6*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.22 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 11, -0.5 in decreasing order.\nAnswer: 11, 0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 199591, 199602, 199613, 199624, 199635, 199646?\n\"Answer: 11*t + 199580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 4*n + 9, 5*n - 2*v = 4*n - 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-6 - -2) + -2 + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - 99 - -144) + -94?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*g - 38 = -2, -4*q + 2*g = -62. What is the remainder when (14\/6)\/((-1)\/(-9)) is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-q - 3*q + 5*q)*(2*q + q + q) + (5*q - 5*q + q)*(2*q - 3*q + 4*q))*((-4 + 4 - 2*q)*(-1 + 2 + 1) + 3*q - 2*q - 3*q + 4*q - 2*q - 3*q).\nAnswer: -49*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 96.8 and -4.4239.\nAnswer: -428.23352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, c: 1, e: 1, b: 5, i: 1}. What is prob of sequence ci?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -109*v + 2703. Determine o(21).\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -35\/3. What is the closest to z in 1\/11, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-2.6.\nAnswer: -15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.73 + -0.73. Put 6, j, 1\/2, 0 in decreasing order.\nAnswer: 6, j, 1\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - -17. What are the prime factors of (-12)\/(-28) + 6495\/l?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (7 - -5 - 8)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 y, and 2 o when four letters picked without replacement from {o: 3, i: 5, b: 4, y: 4}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/(-1))\/((-306)\/(-102))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 2. Suppose 5*i - 9 = -3*g, 3*i + 4*g + 1 = 2. Suppose -2*u - 2*d = -0*u - 10, -2*u + 15 = -i*d. Solve 3*m = -5*s - y, -u*s + 2*s + m = 21 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 3*z - 8 + 2, -4*c + z = -7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -2*f - 315. Let j = -9000 + 9008. Calculate the remainder when f is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 m when two letters picked without replacement from {m: 1, a: 1, o: 1, e: 2, p: 1, t: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+32.668\nAnswer: 32.968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -34? (a) -4\/3 (b) 3 (c) 5 (d) 42.49 (e) 7\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1020?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t + 65. Let k be x(0). Suppose -z = k - 173. Is z a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, h: 4, v: 5}. What is prob of picking 1 v and 3 h?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m**(1\/6)*m)*m*m**1*(m*m\/m**(2\/3)*m)**(-44\/3) assuming m is positive.\nAnswer: m**(-583\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 46 = -4*z, 314*j = 312*j - 5*z + 44 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j - 3. Give m(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3542738 and 0.5.\nAnswer: 1771369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 3*f - 82. Determine y(-6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 10*u**2 + 11*u - 16. Let i(y) = 7*y**2 + 7*y - 11. Let p(r) = 7*i(r) - 5*x(r). Let b be p(-5). What is the greatest common factor of b and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -6. Let m(u) = -7*u + 14*u + u**2 + 0*u**2 - b*u. Let i be 1 - (-2)\/3*3. Calculate m(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5823551581 - -3?\nAnswer: 5823551584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 936 - 5036 + 48*z + 41*z - 86*z as j*z + x and give x.\nAnswer: -4100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 138109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188 = -4*m + t, 21 = -m + 4*t + 83. Let a = 55 - m. What is the lowest common multiple of 9 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/16*2*216\/54\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 20 = 0, l = -3*i - 0*l + 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11904561 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 - 0.04. Let a = -51 - -51.86. Let o = a - c. What is the closest to 1 in -2\/3, o, 0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355*s = 390 - 1455 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 227093209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j + 2*j - 2*j + (-j + 0*j - j)*(-3 + 2 + 3) + 2*j + j - 2*j + (4*j + 2*j - 5*j)*(-1 + 1 - 1).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8110328*l**5 - 2*l + 3543196?\nAnswer: 162206560*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -2. Which is smaller: -2\/27 or g?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d + 17. Let t be 12\/(-2)*(-10)\/6. Let b be a(t). Let j be (1 - 1) + -1 + 3. Solve j*h + 1 = -b for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-7))\/((-35)\/147).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 5*x + 2*d, -5*x + 701*d - 696*d = -9*x - 64 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38607017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/1 - (1 - -2). Let p = 3 + n. Solve 2*z = p + 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2. Let s(c) = -c**3 - 2*c**2 - 2*c - 2. Let f be s(-2). Suppose -3*h = f*h. Let l(u) = -4*u + 4*u + h*u + 4*u**2. What is d(l(j))?\nAnswer: -16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -50*y**2\/9 + 1178062*y\/9 - 94244\/3 = 0.\nAnswer: 6\/25, 23561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 2940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24802 + 223216\/9. What is the closest to -3.7 in d, -7, 2\/9?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 = -4*g - 0*g. Let w = 63 + g. What is the remainder when w is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of l**2 + 2*l + 1. Let r = -24664 - -24661. Give b(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*c - 1021 + 339 = 0 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + r + 5*s = -33, -4*r - 2 = 2*s for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (4 + 2 - 2) - -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 87, 124?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -304 + -101.\nAnswer: -405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*w = -21, -5*y - 2 = -8*y + w. Let i = -1 - y. Suppose h - 6 + 0 = i. Calculate the greatest common factor of h and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6366, -6450, -6582, -6756, -6966, -7206, -7470, -7752?\nAnswer: -8046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/132*(-152)\/114. Sort b, -1, 0.05 in decreasing order.\nAnswer: b, 0.05, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 9*r**2 - 13*r + 10. Determine i(-10).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1331)*-2 + sqrt(1331)) - (sqrt(396)*2 + sqrt(396))*-2)**2.\nAnswer: 24299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/10 - 126\/(-15)) + -4. What is the greatest common factor of q and 815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 390 = 14*j. Let n(r) = r**3 - 23*r**2 - 31*r - 63. What is the tens digit of n(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 554.98251?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 b when three letters picked without replacement from ccccccbbcccccccccccc?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.6 - -4618.\nAnswer: 4630.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -1.9. Let z = -0.2 - j. Suppose 0 = -3*v - 3*i, 0 = -4*v + 23*i - 19*i - 8. What is the nearest to v in z, 0.5, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 126, 157, 208, 279, 370, 481?\nAnswer: 612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.12 - 173809.\nAnswer: -173804.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -1\/3 (c) -1\/14 (d) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -4*b**2 + 5*b**2 - 117 + b + 119. Suppose -41*h - 104 - 60 = 0. Calculate v(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 329, 4, -2, 0.5, -8.2, 1\/12 in descending order.\nAnswer: 329, 4, 0.5, 1\/12, -2, -8.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/1)\/(-3) + 2. Let o(v) = -9*v**3 + 6*v**2 + 6*v + 1. Let h(i) = -i**3 + i**2 + i. Calculate n*o(p) - 6*h(p).\nAnswer: -3*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 19.011. Let m = -2.011 + n. Which is the closest to 0? (a) 1 (b) m (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-60)\/(-14) - 6\/21. Let i = 5 - a. Suppose 22 = 4*c + x + i, -c - 5*x = -10. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a micrometer in nanometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 90?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 (base 11) in base 8?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q - 23. Let k(a) = -a**2 + 6*a + 16. Let s be k(6). Let t be r(s). What is the common denominator of -18\/11 and (21\/28)\/(t\/(-64))?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (94 + 62 - 349 - 213)*(4 - 3 + 2 - x).\nAnswer: 406*x - 1218","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.53 + 7.2. Let o = w - 0.07. Which is the second smallest value? (a) -1 (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 12) to base 3.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20664950 rounded to the nearest one hundred thousand?\nAnswer: -20700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/50 of a millimeter?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, s: 1, z: 3, x: 1, a: 3}. Give prob of picking 1 o, 1 x, and 1 s.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 252869, 252870, 252871, 252872, 252873, 252874?\n\"Answer: b + 252868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/7))**(-44))**(6\/5)\/(c**(-10)\/(c\/(c*c**(-2\/11))))**26 assuming c is positive.\nAnswer: c**(96112\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - s + 4. What is v(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9084060 divided by -757005.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-9)\/105)\/(8787\/2121))\/(-3*(-2)\/(-15)).\nAnswer: 3\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1492922042?\nAnswer: 2, 23, 32454827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 41 + 7 = 4*x, 0 = -m. Let a be 30\/(-6)*(-18)\/15. Solve -2*f + a*f - x = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1296 + -1296. Solve 5*b + o*b + j + 2 = 0, -b = -3*j - 22 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1163 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2598, 2621, 2626, 2613?\n\"Answer: -9*m**2 + 50*m + 2557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -30, 0, 0.12, 9, -11?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**2 - 135*t + 416. Give p(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**8\/840 + u**4\/8 - u**3\/2 - u. Let b(m) be the second derivative of z(m). What is the derivative of b(c) wrt c?\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 divided by -13?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 5*o - 2*o)*(0*o - 2*o - 3*o).\nAnswer: -20*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.431242479 rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 - -24. Suppose 2704*r + 36 = 2708*r. What is the nearest to 0.1 in z, 0, 3\/4, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 376419338 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 1614542?\nAnswer: 1\/1614542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*i + 1 - 2 + 2)*(-3*i + 3*i + 3*i)*(-2 + 2 - 1)*(0 + 6 - 5)*(2 + 12 - 29) in the form d*i**2 + w*i + q and give w.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of p**4\/12 - p**2. Let b(n) be the first derivative of -5 + 5 - 4 - n**2. What is b(z(r))?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 114b73?\nAnswer: -114b76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/117*13*(8 - (5 - 27))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 3*a**2\/2 + 2. Let m(d) be the third derivative of d**5\/60 - 2*d**2. What is m(j(g))?\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 2\/9, 1, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 480 is divided by 61.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (-17 + 19) - 24.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + a = -3, -2*a + 3 = -3*n - 0*a. Let s = 114 - 109. What is the third biggest value in -3\/8, s, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1804)\/(-165) + -12 - 4\/(-6)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 11*q**2 - q + 15. Let i be p(11). Suppose 0 = -2*v + 3*w - 115 - 60, -i*v - 374 = 2*w. Let t = 216 + v. Does 13 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-5)*1*1590\/(-954)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 243167417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*s + 14 + 0*s - 15 - 46 + 11*s + 46 + 6*s - 4*s - 3*s + (0 + 0 - 2*s)*(-2 - 2 + 2) - 4 + 2*s + 4 - 4*s + 2*s + 0*s.\nAnswer: 23*s - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35890212?\nAnswer: 2, 3, 23, 109, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -118*t + 1360. Calculate c(14).\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a decade in months?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -20*x**3 + 53*x**2 + 36*x + 68. Let c(k) = -4*k**3 + 11*k**2 + 7*k + 14. Calculate 29*c(d) - 6*h(d).\nAnswer: 4*d**3 + d**2 - 13*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.34031 micrograms to grams.\nAnswer: 0.00003334031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s = 47 - 7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 5*q**2 - q + 4. Let i be m(5). Let b = 18 + -18. Suppose 7*d - 6*d + 4 = b. Is d equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 minus -8?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 796625644911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 + 102260?\nAnswer: 102248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -301301 + 221?\nAnswer: -301020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -3. Let b = j + 5. Calculate the common denominator of 49\/12 and 2\/16*(-308)\/b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32 + 2304?\nAnswer: 2232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwxwwxxxw. Give prob of sequence xwx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/1 + 0 + 1. Let k(t) = 3*t + 15. Let f be k(y). Suppose 39 = 5*u - f. Solve 3*i = 6*i + u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/1953072 and 79\/126.\nAnswer: 13671504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4468281331.\nAnswer: 1709, 2614559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 2*n**2 - 2. Suppose 2*k + 8 = 22. What is the remainder when -1 - k\/(7\/(-33)) is divided by y(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2677 + 2681. Put 0.1, p, -232 in decreasing order.\nAnswer: p, 0.1, -232","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.045? (a) 0.3 (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2867*o**2 - 5706*o**2 + 2841*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - (-3)\/15)*-35. Let i be 15 - 24\/(-18)*3. Solve 4*o - n = -3*s, 0 = 4*s + o - 1 - i for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**13*n*n\/n**(-3\/19))**23)**(-30))**19 assuming n is positive.\nAnswer: n**(-198720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 - 450*y - 15552.\nAnswer: -3*(y + 54)*(y + 96)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/13)\/((-97)\/(-873)*-27)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.05 + -0.05. Let i = 0.3 - 0.7. Which is the second biggest value? (a) i (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.6735ml in litres?\nAnswer: 0.0326735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3620 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s. Let i(d) = d**3 + 7*d**2 + 8*d + 11. Let l be i(-6). Let b be y(l). What is the second biggest value in -0.5, 1, b?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*d - 2\/5*d**4 - 6\/5*d**2 + 0 + 6\/5*d**3.\nAnswer: -2*d*(d - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i - 2*i = -7*i + 154 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -289 + 322. Suppose b + 31 = 4*f, -4*b = -3*f - 0*f + h. What is the highest common factor of f and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 149 - 147. What is the lowest common multiple of 68 and l?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -w**5\/60 - w**4\/4 + 4*w**3\/3 - 17*w**2\/2 + 7. Let h(t) be the second derivative of x(t). Calculate h(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 513, 386, 259, 132, 5?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 - -1. Let z = 122.4 + -136. Let f = -14 - z. Which is the second smallest value? (a) f (b) 0.4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -326149, -652415, -978793, -1305283, -1631885, -1958599, -2285425?\n\"Answer: -56*h**2 - 326098*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.00835644778 + -4161.50264244778. Let g = v - -4144.49428567. Let x = g - -17. What is x rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 150.5 - 151. Let r be -1*(1 - -1 - 33\/12). What is the nearest to r in 2\/13, 4, x?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 549020 times 0.4\nAnswer: 219608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v - v - 40 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 303\/(-27) - (-8)\/36. Do -7\/5 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.2590048 rounded to 1 dp?\nAnswer: -60.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(76\/34) - 1. Let v be (-62)\/(-185003)*-137 - (-16)\/(-152). Let j = 2\/749 - v. Put -4, j, -1, o in increasing order.\nAnswer: -4, -1, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8943506 = 2*v - 9059770. Suppose s - 14289 = 484073. Suppose v = -i - s. Round i to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 440724 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 716 or 715?\nAnswer: 716","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -48, 10, 9, 4 in descending order.\nAnswer: 10, 9, 4, 2, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 2\/9 (b) 0.4 (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*6\/(-3)*1. Let m be 2 - 2\/(4\/(-2)). Put f, 4, m in increasing order.\nAnswer: f, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2403264272.\nAnswer: 2, 67, 2241851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (30 + -3)\/3*5\/3. Solve 4*r + 8 = 0, -k - 5*r = -0*k + t for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 14*w + 19. Let q be c(-15). Solve -r - 15 = q*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j - 45. Let s be h(16). Solve -13 + 3 = 2*g, 0 = 3*o + s*g + 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 13 - (-18901)\/(-697).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 692?\nAnswer: 2076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*c - 1 - 3 = 0, -12 = -5*n + 4*c. Let g be 2\/7 - (-18)\/(-14). Suppose 6*o = -34*o - 80. Put 1, n, o, g in descending order.\nAnswer: n, 1, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/11 (b) 1\/4 (c) 21861 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.04916 - -824.55084. Let m = -825.3518 + o. What is m rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 5*y**4 + 1135*y**3 - 17835*y**2 + 75985*y - 59290 = 0.\nAnswer: -242, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 11\/2 of a meter?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 175428269 to the power of 1\/2, to the nearest integer?\nAnswer: 13245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/7 + 496*y\/7 + 61504\/7.\nAnswer: (y + 248)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31315 and 6800.\nAnswer: 42588400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e (base 16) to base 9.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368 is divided by 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2045970187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i + 127257 = -104205. Is i\/(-77) - 2\/(-7) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 8436385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l - 3*l**2 + 1 - 4 - 3*l**2 + l**3. Let q be (-342)\/(-63) - (-6)\/(-14). What is p(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*((-42)\/(-35))\/(3*1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.1 - -1. Let x = -617 - -615. Is m smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8801931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17253 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 2, -4, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5484\/(-72) + 3\/18. Let r = j + 80. Let q = -5 + 10. Put 2\/19, r, q in descending order.\nAnswer: q, r, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y - 138*y + 209 + 2358 = 0 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -v**7\/630 - v**6\/90 - v**4\/3 + 18*v. Let j(q) be the third derivative of t(q). Let k(z) = -z. Determine j(x) - 8*k(x).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(11)*2*-2) - sqrt(20)\/(sqrt(90) - 1*sqrt(90) - sqrt(90)).\nAnswer: sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d + d**2 - 2*d**3 + 0*d - 4*d. Let j be s(-1). Solve -j = -3*b + 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*t - 0*t. Let x(p) = p**3 - 10*p**2 + 11*p - 11. Let h be x(t). Does h = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or -65\/2?\nAnswer: -65\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 9*a + 150. Let d(i) = 17*i + 275. Let w(c) = 6*d(c) - 11*v(c). Let n(b) be the first derivative of 28*b**3\/3 + 2. Calculate w(n(z)).\nAnswer: 84*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 11*x**2 - 11*x - 3. Let w be i(-10). Let p be 2\/w + (-52)\/(-14). Suppose u = p*u - 24. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8798307 + 2251103. Let j = 589237463\/90 + d. Let b = j + 644\/5. What is the common denominator of -145\/12 and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3*l**4 - 27*l**3 + 3*l**2 + 27*l = 0.\nAnswer: -9, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6630 or 1267?\nAnswer: 1267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 70 = -2*o, 0 = -9*d + 11*d - 3*o - 70. Differentiate 27 + 110*b**3 + d - 77 with respect to b.\nAnswer: 330*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -450*n + 1306. Determine s(3).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m**3 - 2*m**2 + m - 4. Let g(d) = -d**3 + d - 3. Let f be g(0). Let o be n(f). What is the highest common divisor of 14 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -8) + 1 + 1 - (-2 - 4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3*s - 10, 0*s - 3*s = -4*l + 5. Solve -l*m + 16 = -m, -q + 3 = m for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439333 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tyyy when four letters picked without replacement from {y: 10, t: 2}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (5 + -16 + 33) - (-2 - 7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 228, 0.\nAnswer: -5, 0, 228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 24. Suppose 2*v + i*v = 80. Suppose -2*l = -y + 106, -4*y + 118 = -3*y + 2*l. What is the greatest common factor of y and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275*p + 15 = 280*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -14. Suppose -m = -3*x + 23, 65 = 5*x + u*m - 0*m. Is x even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -337*b**2. Let j(p) = -p + 36. Calculate a(j(v)).\nAnswer: -337*v**2 + 24264*v - 436752","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 10*i - 173. Let a be j(-10). Let g be (-1128)\/a - (-96)\/72. Which is bigger: g or -41?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*b + 2*p + 37, 15*b - 9*b - 5*b - 6*p + 10*p + 55 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8\/(-3)*(-82635)\/70?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68472 and 1643328?\nAnswer: 1643328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7 - ((9 - 9) + 7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of b**4\/12 - 150*b. Let y(d) = d - 1. Let a(h) = -7*h + 6. Suppose 3*z + 21 = 3. Let k(l) = z*y(l) - a(l). Determine k(j(v)).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u**2. Let l(w) = 12*w**2 - 75*w + 213. Let p(m) = -7*m**2 + 45*m - 107. Let t(q) = -3*l(q) - 5*p(q). Calculate t(y(i)).\nAnswer: -16*i**4 - 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30147879 is divided by 1598?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -4 + -4 + 3 + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 138358176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of 0*q + 2\/315*q**7 + 0*q**4 + 1\/180*q**6 - 30*q**2 - 1\/45*q**5 + 0 - 1\/504*q**8 + 0*q**3. Solve j(r) = 0 for r.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 7*p + 123. Let m be k(18). What is m rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one quarters of a kilogram in grams?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2092.5 - -3.15936.\nAnswer: -2089.34064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -2*i - 23, 0 = i + 1 - 2. Let a = 7 + u. Let g(y) = 2*y**2 + 13*y - 1058. Let t be g(20). Solve 4*f = o + t*o, 11 = f + a*o for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-47)\/(-13442)*44*-39.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 7*z - 90 = 4*z, -38 = -r + z. Suppose -39*b = -r*b + 20. Let w(i) = -2*i**3 + 4*i**2 + i. Does 29 divide w(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.05 greater than -4\/519?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 + 42*k + 109. Give q(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**2\/4 - f\/2 = 0. Calculate f.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*g - 731 = 13*g + 429. Suppose -l - 2*d = -21, -2*l + 3*d = -2*d - 42. Calculate the remainder when g is divided by l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.013, 2\/5, 1.4, 13, -3, 3?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (237 + -230)*(-7)\/(42\/(-78))\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.119 to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 75 and 3912.\nAnswer: 97800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + -3728261?\nAnswer: -3728261.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.03 (b) -18.26 (c) 115\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 120131124?\nAnswer: -120131114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n - 133 + 497 = -68. Suppose -2*q + 4*o + 253 = -o, 0 = 5*q + 4*o - 682. Let l = q - 91. What is the remainder when l is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v + 18*v - 228 = 0. What are the prime factors of v?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162513123 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1664 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 2*a + 13*a)*(-12*a + 8*a - 14*a)*(26*a**2 + 43*a**2 - 24*a**2).\nAnswer: -10530*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 13*n**2 + 9*n + 14. What is the tens digit of o(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 + 2*w + 1. Let x be v(-2). Let d = 1 + x. Let p(m) = -m**3 + 6*m**2 + 3*m + 4. Does 15 divide p(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32452 - -32457. Let s(r) be the second derivative of 144\/11*r**2 + 1\/165*r**6 + r - 8*r**3 + 97\/66*r**4 + 1\/5*r**l + 28. Factor s(f).\nAnswer: 2*(f - 1)**2*(f + 12)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 103*y**2 + 509*y**2 + 62*y**2 + 2*y**2 + 0*y**2 + 0*y**2 + (-2*y**2 + 5*y**2 - 5*y**2)*(-4 + 4 + 2) + 2 - 2*y**2 - 2.\nAnswer: 670*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-20)*(-26)\/(-13)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*i + 71*i - 11*i + 454*i**3 - 11*i.\nAnswer: 454*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 80 - 119. Let w = -57 - -100. Let m = k + w. Which is the second smallest value? (a) 3 (b) m (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 699.782 to 0 decimal places.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 14*x + 9 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 614 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gbg when three letters picked without replacement from {g: 13, b: 5}.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101380 divided by 4.\nAnswer: 25345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 4*d - 4*d)*(2 - 3*d - 2)*(0 + 0 + d**2).\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -66248\/15 - 2\/15*t**2 - 728\/15*t = 0.\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-24))\/((-3)\/(-2 - 16)). Which is bigger: 13\/67 or f?\nAnswer: 13\/67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/3)\/((-9)\/(-12) + -1). Suppose 4*r - 3*r = -y*r. Suppose 2\/7*p**2 + r + 0*p + 2\/7*p**3 = 0. Calculate p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4*x - 39 = -x, 4*x + 20 = 0. Suppose 0 = -b + m - q, m = b - m + 14. Let n = 32 + b. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.326845 milligrams in tonnes?\nAnswer: 0.000000002326845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (459 + 134 - 41)*(-3*y**4 + 3*y**4 - y**4) - 4*y**2 + 3*y**3 - 7*y**2 + 8*y**2 + y**4.\nAnswer: -551*y**4 + 3*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t - t**2 - 5*t**2 + 3*t**2 - 8*t + 7. Suppose -214*l = -203*l + 55. Let b be o(l). Which is smaller: b or -97\/4?\nAnswer: -97\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of o**4\/4 - o**3\/3 + 11*o - 2. Let q(t) = 2*t. Give y(q(r)).\nAnswer: 12*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 3, 1987 = 4*z + 4*y + 1971 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)*v**(3\/2))**(2\/9) assuming v is positive.\nAnswer: v**(-1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 84 + -85. Let y = -3.6 + 3.3. What is the nearest to v in 0.3, -1\/29, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 20 + v + 17 - 82*v**2 in the form k*v + r*v**2 + y and give r.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 3*m - 75 = -186, 5*m + 39 = g. Let c be (-7 - -7) + (-3)\/g. What is the third smallest value in c, 23, 1\/9?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5736?\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (96\/10)\/(-5 - 156\/(-30)). Suppose -10*l = -6*l - y. Calculate the remainder when 19 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 8*m**2 - 2*m + 2. Let l be p(2). Suppose 0*c + c - 2 = 0. Let i = 8 - c. What is the highest common factor of i and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 13?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 603568978?\nAnswer: 2, 301784489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, 603, -1.5, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2451*m - 2325 = 2526*m for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8614711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgrg when four letters picked without replacement from {t: 1, p: 10, r: 2, x: 5, g: 2}?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3707483*m**2 + 9407240.\nAnswer: 7414966*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2047206 and 5118015?\nAnswer: 10236030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3084 - 2644. Calculate the least common multiple of p and 88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, z: 1}. Give prob of picking 1 j and 1 z.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 2036?\nAnswer: 10180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2574022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**11*s))\/(s**(-11\/4)\/s))**28 assuming s is positive.\nAnswer: s**(-231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 39 = 15. Let y(i) be the third derivative of -i**4\/8 - 23*i**3\/6 - 426*i**2. Calculate y(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -7 - 2*k + k + 7 - k. Let f(r) = -384*r + 1. Give f(c(z)).\nAnswer: 768*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/297 and 139\/132.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*g = -162*g - 3264. Suppose 12*z + g = 15*z. List the prime factors of z.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 59*n**2 - 455*n + 389. What is r(66)?\nAnswer: 851","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*d + 3\/4*d**2 + 1\/8 - 1\/2*d**3 + 1\/8*d**4.\nAnswer: (d - 1)**4\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -146 + 76. Let o = 21 + j. Is o\/((2\/(-2))\/1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -81 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(((s*s**0\/s)\/s)\/s))\/(s\/s**1)*s**(-1\/6)\/s**5 assuming s is positive.\nAnswer: s**(-7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/2)\/(1536\/(-16384)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 10*w + 4. Let b be d(-10). Suppose 0*h - b*h = 0. Suppose 0*z - 2*z = h. Solve 5*q + c - 8 = -z*c, q - 4*c + 11 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 2*n + 13864 = 0, -49*q + 52*q + 4*n = -8338. Is q > -2772?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65418?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -663*c - 243*c - 1222*c = -9918 - 15618. Let m(n) = n. Let k be m(3). Suppose -k*p + 216 = -p. What is the greatest common factor of c and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 92\/5 - 14\/35 and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((5 - -4) + 3)*(-10)\/(-8). Let q be (33\/s)\/(3\/15). Let w(l) = l + 11. Let u(h) = h + 6. Calculate q*u(r) - 6*w(r).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffraar. What is prob of sequence ffra?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.8 - 0.2. Let r = y - -2.5. What is the smallest value in 0, 1, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, -394, -3 in ascending order.\nAnswer: -394, -45, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 + -14. Suppose x + 0*x + 21 = 2*n, n = 3*x + v. Suppose -2*s + n = -51. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6160 by 28.\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) -3 (c) -0.8 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -1, -3 in increasing order.\nAnswer: -3, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*b - 32*b + 37*b - 111*b.\nAnswer: -164*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -5*h + 70, 3*h - 25 = -2*x + 4*h. Suppose -2*k + x = 3*k. Suppose -23*a + 15 + 77 = 0. Solve 9 = -3*y - k*p, -2*p + a = -3*p for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y - 8*y + 8*y + 7*y.\nAnswer: 13*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.3 (b) -3 (c) 2\/9 (d) -4.84\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 7)*(-4)\/(-5). Let a be (24\/10 + -2)\/((-36)\/10). What is the smallest value in 0, t, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 323 - 0\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-4 - -1)) + (88 - 57).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 94*p - 100*p + 3342. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1174557518.\nAnswer: 2, 17627, 33317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/3)\/((-1)\/(-5)). Suppose 0*z - g*z = -15. Suppose z*s - 25 = -10. Solve -q - 12 = -s*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 57 = y, s - 115 = -4*s - 3*y. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 508 - 667 = 0. Suppose -5*a + 2*a - q + 171 = 0, 4*a - q = x. List the prime factors of a.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/(-8)*(-3 - -157)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*a + 35 = 0, -5*c + 5*a - 5 = -c. Suppose -c*g = 5*j - 0 - 25, 0 = j - 1. Find the third derivative of -3*v + 3*v - 2*v**2 + v**g wrt v.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -233 + 156235?\nAnswer: 156002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 56*f - 59*f + 3, -3*o + 22 = 2*f. Suppose o*c - 446 = 514. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5637 is divided by 1875.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**5 - 4108*t**4 + 16412*t**3 - 24608*t**2 + 16402*t - 4100.\nAnswer: 2*(t - 2050)*(t - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1449924 to the nearest integer?\nAnswer: 1204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3589 and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/2)*x*x**(-8))**(1\/28) assuming x is positive.\nAnswer: x**(-15\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 4:25 AM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 3*c - 1. What is t(5)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g + 0*g + 0*g)*(4*g + 0*g + 13 - 15) as b + x*g + k*g**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzlliizilzl. Give prob of sequence lzii.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbc when three letters picked without replacement from {h: 1, l: 2, c: 4, b: 2}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -26, -4, 440, 1 in ascending order.\nAnswer: -26, -4, -2, 1, 440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -37\/5*p**5 + 122*p + 0 - 4\/3*p**3 - 1\/12*p**4 + 0*p**2. Find the third derivative of y(q) wrt q.\nAnswer: -888","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-15)\/(-4))\/(192\/20) and -103\/10.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7991 + 24597*m - 15982 + 7991.\nAnswer: 24597*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -188 - -192. Suppose -r*k + 2*k = 2*q - 468, 2*k = 2*q + 476. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-14 - (-3 - -3)) + 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 260046 * 997.\nAnswer: 259265862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36510 and 531378710?\nAnswer: 12170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -9*k. Suppose -j + 6 = -k. What is the remainder when 48 is divided by (-1394)\/(-85) + j\/10?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 965*b + 5*y - 20 = 970*b, 2 = -3*b + y for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -76*h - 2691. Let p be v(-36). Let x be (-4054)\/(-18) - 4\/18. Calculate the greatest common divisor of p and x.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 68*d**6*w + 1458*d**3*w + d**2*w + 124*d*w + 183*w wrt d?\nAnswer: 8160*d**3*w + 8748*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccjcj. Give prob of sequence cjcc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85645 divided by 17129.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16720)\/(-570))\/((-6)\/18*2).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - m + 420. Let u = -46 + m. What is the greatest common factor of u and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 51?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/j**18*j*j*j**40\/j)\/(j**(-2\/75)\/j**(2\/3)) assuming j is positive.\nAnswer: j**(2002\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -39969*u - 4116812. Determine l(-103).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 4530540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -26*y**2 + 2*y + 2. Calculate x(-1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 211372?\nAnswer: 634116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 10. What is the highest common divisor of 1 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -231429, -231422, -231411, -231396, -231377?\nAnswer: -231354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + f - 1. Let p(r) = 3*r**2 - r. Let i(a) = -a**2 + 2*a - 1. Let n(x) = 4*i(x) + 3*p(x). What is 4*l(d) - n(d)?\nAnswer: -d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxcxcxxlcxllcx. Give prob of picking 3 c.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*m**2*y**3 - 2*m**2*y - 285*m**2 + 17*m*y**3 - 3*m*y - 3*m + 70*y**2 wrt y?\nAnswer: 156*m**2*y + 102*m*y + 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**2 + 11*t**4 - 264*t + 264*t)*(2 + 3 - 3)*(-4 + 4 - 3)*(-1 - 3 + 3).\nAnswer: 66*t**4 + 24*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 4*n**2 + 7*n - 5. Let j be h(5). Suppose -3 = j*x - 6*x. Solve -t + x*t - l = -6, -6 = -3*l for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -872\/4137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 72*m - 74*m + 2. Let n = 2603.8 + -2604. Which is the fourth biggest value? (a) n (b) 3 (c) m (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*c**2\/9 - 92062*c\/3 + 7780\/9 = 0. Calculate c.\nAnswer: -1945, 2\/71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2410 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 10:35 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1*3\/(-15))\/(21\/(-35))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -142393263 - -411801352475\/2892. Let y = 5\/482 + n. What is the common denominator of y and -95\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14, -2\/7, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 122 = -9 + 37. Calculate the remainder when 25 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -t**2 - 1. Let g(b) = -3*b**2 + 14*b**2 - 9*b**2. Give l(g(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2881 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 b, and 2 i when four letters picked without replacement from atitatiitttatb.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**3 + c**2 + 2*c + 1. Let m be h(-1). Suppose 0 = k - m, 3*y + y + 5*k = 190. What is the greatest common divisor of 15 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1094, -1228, -1444, -1742, -2122?\nAnswer: -2584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 15*n + 8. What is the remainder when b(4) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26888987 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + ((-3136)\/528 - -6)*-411.\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -625509.22 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 7\/192, 35?\nAnswer: 7\/192","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 12*h**7\/7 + h**3\/3 - 13. Find the third derivative of f(l) wrt l.\nAnswer: 1440*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/9, -5, 9\/35, -334?\nAnswer: -334","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1395 and 5719159.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 897132 divided by 448566\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -1.6. Let f = 0.05 + -0.05. Let x = f + -0.5. What is the second smallest value in 0.4, q, x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of v**4\/12 + 3*v**2 - 3*v + 5. Let y(z) = z**2. What is k(y(b))?\nAnswer: b**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 21*o**2. Let y(g) = g**2 + 2*g + 2. Let f(k) = -374*k**2 - 612*k - 612. Let x(s) = 2*f(s) + 612*y(s). Calculate -32*p(v) - 5*x(v).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -29\/30*z**7 - 54*z**2 + 1\/12*z**4 - 23\/6*z**3 + 0 + 0*z**6 + 0*z + 0*z**5. Find the second derivative of r(x) wrt x.\nAnswer: -2436*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 185902 to the nearest ten thousand.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 537 - 237 = 30*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 409039670 to the nearest 100000.\nAnswer: 409000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -3 - 17. Suppose -3*m = -2*m - p. Suppose -m*u - 14 = -6*u. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 103531 + -72026. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2934407+-29201212\nAnswer: -26266805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 108*j**2 - 26*j + 1250 - 107*j**2 - 1256. What is h(26)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1182586*-0.3\nAnswer: -354775.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 103.9 + -373. Let d = y + 269. Let p = 1.3 - 0.3. Sort -3, d, p.\nAnswer: -3, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 43. Suppose -4*h - 18 = -2*b - b, 2*b - 12 = -4*h. Let f be d(b). Solve f = -3*o + 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 40*a + 257. Let x be d(-8). Let v(j) = 5*j - 9. Let p = -1 - -7. Let t(w) = -w + 1. Give p*t(i) + x*v(i).\nAnswer: -i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + x**2 + x + 2. Let i(w) = 6*w**3 + 12*w**2 + 3*w + 2. Let u(v) = 4*d(v) - i(v). Suppose 0*z - 2*z = 14. Is u(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 18*x**2 + 31*x - 105. Let d be s(-20). Calculate the greatest common divisor of 111 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 12*r + 35. What is q(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 4*f**3 + 8*f**2 + 3*f - 2. Suppose 6*b - 33 = 17*b. Let p(r) = r**3 + r**2 - 1. Let j(u) = b*p(u) + m(u). Calculate j(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2811031*k**2 + 43711*k**2 - 929603*k**2.\nAnswer: -3696923*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + 17 - 7*f**2 to x*f**2 + t*f + j and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1860 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3271411 and 1001?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2918202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -13*r - 37. Let z be h(-3). Let s(v) = -v. Let m(q) = -q**2 + 16*q - 49. Let x(w) = z*s(w) + m(w). Find i such that x(i) = 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 57*a**2 + 115*a - 61. Let u be w(-59). Is 115 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(2) + (sqrt(20)\/(sqrt(10)*-1 - sqrt(10)))**2)*-4.\nAnswer: -4*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/5 of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*u + 32. Let j = 92 - 54. What is the remainder when j is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 10 = -11*i + 9*i, -5*z = -10. Suppose 3*q + 190 = l, -i*l = q + 49 - 394. Let d = l + 78. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -58 + 55. Which is the closest to i? (a) 1 (b) 0.2 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**3\/6 + c. Let z(d) be the second derivative of -68*d**4 + 10474*d. What is p(z(t))?\nAnswer: 816*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/1)\/(21\/(-14)). Let k = 5 - b. Let d be (-4)\/14 + 2\/k. Sort 4, d, -2 in decreasing order.\nAnswer: 4, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 1353.\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*c + 60887 + 52772 = 13684. Calculate the smallest common multiple of 5 and c.\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 179, 233, 311, 407, 515, 629, 743, 851?\nAnswer: 947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4000931951 + -0.246.\nAnswer: -4000931951.246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**4*h))**(-5\/4)*(h**(-2))**(-16\/7) assuming h is positive.\nAnswer: h**(303\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 90.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (9 + 1 + 5 + -33)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 3*v. Let h be o(-7). Let l = h + -34. Does 18 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 455 divided by 5?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -25*x**2 - 3*x + 5. Let b(q) = -24*q**2 - 4*q + 4. Determine 3*b(m) - 2*c(m).\nAnswer: -22*m**2 - 6*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -3*n + 5*h + 32, -5*n - 17 = -h for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1093\/385 + -20\/7. Let t(c) = 7*c**2 + 39*c + 65. Let v(n) = 11*n**2 + 59*n + 98. Let d(b) = -8*t(b) + 5*v(b). Let y be d(-15). Is m > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1595 - 1481. Solve 3*h = -4*m + 17, j*h - 116*h - 4*m = -14 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 7*g**2 - 2. Let q be (2 - 1) + ((-10)\/5)\/(-1). Let b(v) = -5*v + v + q*v. Determine t(b(u)).\nAnswer: 7*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 19630, -2\/3, -70, 3\/4, 5 in increasing order.\nAnswer: -70, -2\/3, 0.5, 3\/4, 5, 19630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 1 - 2)*(2*u - 1 + 1) + 398 - 78*u - 78*u - 398)*(-6 + 6 - 50*u) in the form h*u + n*u**2 + p and give n.\nAnswer: 8000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -29. Let u = -17.7 + 18. Which is the biggest value? (a) u (b) 0.4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 12. Let p = -10.8 - v. Let s = p - -0.9. What is the second smallest value in -2, s, 1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + z**3 + 4*z - 2 - 9*z**2 + 31*z**2 - 5*z to x*z**3 + y*z**2 + a*z + d and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a**2 - 3*a + 3. Let u(r) = 0*r**2 - 9*r - 4*r**2 - 3 + 11*r. Let f(m) = 2*d(m) + 3*u(m). Find the first derivative of f(x) wrt x.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 7*t + 1. Suppose -2*o = -0*o - 5*w + 19, -5*w = 5*o + 135. Let j(i) = i**3 + 23*i**2 + 23*i + 27. Let s be j(o). Determine l(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/49, 0.2, 18\/169, -17 in ascending order.\nAnswer: -17, -2\/49, 18\/169, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.3543 rounded to 1 dp?\nAnswer: 10.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**2 - 4*c**2 + 5*c**2 + (1 + 5 - 2)*(2*c**2 + 0*c**2 - 3*c**2)*(-3 + 3 - 3).\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1510 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 21647992 = -4*v, -u + 23962167 = 5*v - 3097831. Round v to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + k - 3. Let y(v) = -v**3 - 25*v**2 - 3*v - 79. Let q be y(-25). Let l be s(q). Solve 2*p = -2*j + 10, p - j - l + 4 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 35a4?\nAnswer: -35a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 455, 907, 1359, 1811, 2263?\nAnswer: 2715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - -3*-1*sqrt(156)) + (sqrt(156) + (sqrt(156) - 2*sqrt(156)))*4 + sqrt(156))\/((-3*sqrt(300) - sqrt(12))*2).\nAnswer: sqrt(13)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 1\/3 (b) -3 (c) -0.5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-516)\/(-24)*(-10)\/(-3133). Let h = 2\/241 + z. Suppose 7*v - 4*v = 0. Which is smaller: v or h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2945484 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 654, 1507, 2360, 3213, 4066, 4919?\n\"Answer: 853*z - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 12 = t + 5*d, -5*d + 20 = 0. Let g be -3 - (t + 6)*-1. Let x be 0*((-20)\/(-15) - g). Solve 4*z + m + 3*m - 8 = 0, -5*z + 5*m + 30 = x for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 16 = n, 4*k + 4*n = 80. Calculate the smallest common multiple of 32 and k.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 7 = 2*m - 2, -3*j + m = 6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, v: 3, y: 1, h: 5}. Give prob of sequence vyh.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of 7*z**5\/10 + 19*z**4\/6 + 17*z**3\/6 + 724*z. Let i(u) = 5*u**3 + 13*u**2 + 6*u. Calculate 11*i(a) - 4*p(a).\nAnswer: -a**3 - 9*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i - 47 = -2 - 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of v**3\/3 - 15*v**2\/2 + 18*v - 5. Suppose 0 = x + 10 - 5, -3*x = -3*n + 57. Let b be w(n). Solve b*i + i - 5 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-14))\/(12\/56)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/(o\/((o**14\/o)\/o))*o)*(o*(o*o**(-1\/11)\/o*o)\/o*o)\/o*o**3\/(o*o\/(o\/(((o**17\/o*o)\/o)\/o)*o*o*o*o)) assuming o is positive.\nAnswer: o**(-221\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -n - 10, 3 = 5*n + 33 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 10:24 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -136042654 divided by -23?\nAnswer: 5914898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2012.\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-3)*9 - 2. Suppose -2*y - v = k - 31, -6 = -2*v. Let r be ((-8)\/y)\/(2\/(-15)). Solve -5*p = -4*b - b + 40, -p - 20 = -r*b for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27058 is divided by 322.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 3*j + 10, 4*j = x + 5*j - 4. Suppose x*o = 6*o - 20. Suppose -o*v = -58 - 72. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286.077 weeks in minutes?\nAnswer: 2883656.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -14 + 2*w + 14. Let d(s) = 9*s. What is d(b(r))?\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -100111100111 (base 2) to base 10\nAnswer: -2535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 32*s**2 - 62*s + 35. What is the units digit of g(29)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 2*c**5\/15 - 19*c**2. Let h(j) = 124*j**2. Give h(b(g)).\nAnswer: 7936*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 26 - 16*q + 7*q + 13*q. Let n be r(-6). Solve 3*i + 5*w = 17, -n*w = -3*i - 5*w + 9 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69900656 by 92953.\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyytyyypy. Give prob of sequence pty.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 + 14 = -15*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 - 53*l + 17*l**2 + 54*l + 1 + 1. Let c be f(-1). Factor c*h**3 - 115*h**2 - 52*h - 41 + 202*h + 86.\nAnswer: 5*(h - 3)**2*(4*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -61 (b) 0.8 (c) 852\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 214957*n**6 + n**2 + 730*n + 44 wrt n?\nAnswer: 25794840*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115 - -4.1.\nAnswer: 119.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 7 + 3. Suppose 40 = v*w + 16. What is the highest common factor of w and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2\/157529 (b) 1 (c) 2 (d) -0.5 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 92234981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 0 - -1 - (8 - -17 - -16).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 127797 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -1036*c + 1911. Let j be g(2). Which is greater: j or -172?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 25*n**2 - 89*n - 507. Let o be x(-22). Put o, -4, 1, 4 in decreasing order.\nAnswer: 4, 1, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b8c95 (base 13) in base 12?\nAnswer: -2a011a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.4068*-1.3\nAnswer: 1.82884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/4)\/(-3)*(-6)\/(-15).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0.1 (c) 1\/9 (d) 3\/23 (e) -4\/1411 (f) 2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -340*w - 6786*w + 26899*w in the form n + f*w and give f.\nAnswer: 19773","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 144*z - 6149. Determine x(24).\nAnswer: -2693","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*w = -0*l + 1948, -4*w = 5*l + 3225. Let q be l\/(-8) + (-4)\/32. Let i = -77 + q. Put i, 5, 4 in ascending order.\nAnswer: i, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyqooiyyoozoo. What is prob of picking 1 z and 1 i?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -411*d - 16797. Let l be q(-41). Let j = -7 - -5. What is the second smallest value in -0.2, j, 5, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = u - 12, 3*p - 27 = -3*u. Let c be (3 + p\/(-1))\/1. Let w be (4\/c)\/((-4)\/60). Solve f + w - 1 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) -0.3 (c) -200 (d) 5\/4 (e) -2 (f) -210\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 70 = i, 3*i + 4*v - 40 = 146. Suppose 27*j - 72 = -9*j. Suppose j*w = 4*d + i, 0 = 3*w - w - 3*d - 63. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -10\/449797?\nAnswer: -10\/449797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2. Let f(z) be the second derivative of -41*z**6\/120 + z**3 + 3*z**2\/2 - 2*z - 5. Let c(j) be the second derivative of f(j). What is v(c(s))?\nAnswer: 30258*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 + (-9)\/(-6)*-2. Suppose -2*q = -f*q + 130. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (181 - 60 + 34)*(w + 0*w + w) + 1 - 1 + w.\nAnswer: 311*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-2))\/(2\/(-212)). Let p = 89 - n. Suppose 5*v - p = v. Calculate the lowest common multiple of 2 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 3*m + 3. Let t be c(3). Find the second derivative of -5*j + t*j + 2*j**5 - j**5 wrt j.\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23415 is divided by 49.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3766 * -256.57.\nAnswer: -966242.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25911 is divided by 1224.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 - -40. Suppose -17 = -w*j + 48. Suppose j*m**4 - 6*m**3 + 16*m**4 + 3*m**2 - 26*m**4 = 0. What is m?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 17 + 7. Let a = 22 - v. What is the lowest common multiple of 2 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -713773488 divided by 237924496\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 20*w - 91. Let r be o(12). Suppose -2*f = -0*f - 24. Suppose 4*n = r*d - 405, f = d - n - 69. Is d a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s**3 - 6*s**2 + s + 5. Suppose 5*z - 5 = -25. Is m(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2. Let n(w) = 75*w. What is n(t(q))?\nAnswer: -75*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(182)\/(sqrt(28)\/sqrt(4)) - (sqrt(234)\/(sqrt(225) - sqrt(9) - sqrt(9)) + sqrt(26)))\/(sqrt(392) + sqrt(392) + -2*sqrt(392)*5 + sqrt(392)))**2.\nAnswer: 13\/86436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 8+-182\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 247246 <= 247246?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100095319 is divided by 340?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72.11 + -0.11. Which is the third smallest value? (a) p (b) -2\/3 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p + 1. Let i be z(-1). Let g be 21 + -19 + 15\/(-3)*-7. Suppose g = 2*l + 5. Solve i*n - 4*n = -l for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634.1587 years in centuries?\nAnswer: 6.341587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 7)*(-2*n**5 - 4*n**3 + 4*n**3).\nAnswer: -18*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 100, 14, -5 in descending order.\nAnswer: 100, 14, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i - 9*i - 10 = l, -i - 4*l - 23 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + 4.2. Let m be 42\/63*-6*(1 - 2). Let i be 7*(210\/49 - m). What is the second biggest value in i, z, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + -2*(sqrt(187) + sqrt(187)*-1))\/(-2*(sqrt(44)\/sqrt(4) + sqrt(11) + sqrt(11))) + ((4*(sqrt(425) + -1))**2 - 6*sqrt(833)*-1).\nAnswer: -709*sqrt(17)\/6 + 6816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (15 - 40) - (-5 - -1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 84304147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/9, -1\/221 in decreasing order.\nAnswer: 2, 2\/9, -1\/221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 1588.\nAnswer: -5\/1588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 11*h - h**2 + 6 - 11*h - 9*h. What is the remainder when 58 is divided by q(-7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 107, -0.08, 3, 0.2?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9461 by -5.\nAnswer: -9461\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 + 51. Suppose 1077 = z*k - 2010. Let u = 6995\/16 - k. What is the common denominator of 9\/20 and u?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -11*y**3 + 2*y**2 - 9*y - 16. Let p(m) = 5*m**3 - m**2 + 4*m + 8. What is -3*f(d) - 7*p(d)?\nAnswer: -2*d**3 + d**2 - d - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -306.831 - -307. Let o = a - 7.069. Let c = o + 5.9. Which is bigger: c or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 6*u - 5. Let j = 3 + 1. Suppose -5*x + 340 = -4*a, -4*x + 54 = j*a - 182. What is the remainder when x is divided by g(9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 341358 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266 = -6*u + 112. Calculate the smallest common multiple of u and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - 110576.371.\nAnswer: -110576.371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00189645314 rounded to seven dps?\nAnswer: -0.0018965","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/9 - (-9584)\/36. Suppose 2*y = -u + 271, -8*u = -2*y - 4*u + s. Calculate the greatest common factor of 15 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1384935986 rounded to three dps?\nAnswer: -0.138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a tonne in kilograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -426, -3261, -10964, -25971, -50718, -87641?\nAnswer: -139176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37191.5 + 37191. Let h = -0.04 + 0.44. What is the nearest to -2\/5 in o, 0, 9, h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 63 = -4*i, -3*i + 3*v + 0*v + 27 = 0. Let c be (-2)\/(-4) - (-18)\/i. Suppose c*g - 6*g = -4. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.1, -4, 1\/3, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -5*z - g, 29440 = -3*z - 5*g + 29417 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 145124*a*j**3 - 1331*a*j**2 - 4*a*j + 2 wrt j?\nAnswer: 870744*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rurdouuuruuluuuudu. Give prob of picking 1 d and 1 l.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.57624 centuries to millennia.\nAnswer: 8.657624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2350*u - 12. Let b(j) = 2351*j + 13. Let q(i) = -4*b(i) - 3*x(i). Let t be q(-4). Round t to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/6)\/(-22*(-6)\/(-24))*-2.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + b + 36. Let t be z(0). Suppose 4*y + 16 = 4*d, -d = 5*y - 2*y - 4. Suppose y = 2*g + g - t. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 911787?\nAnswer: 3, 491, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 97*v. Let h(s) = s**3 - s. Calculate -h(z) - t(z).\nAnswer: -2*z**3 + 98*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(33)\/sqrt(3) + -1 + 2) + (sqrt(99) + 5*-2*sqrt(99) - sqrt(99))\/(sqrt(81)\/sqrt(144)))**2.\nAnswer: 552*sqrt(11) + 23312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, c: 17}. What is prob of picking 1 c and 3 s?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -307, 1, 3, 114, 4 in increasing order.\nAnswer: -307, 1, 3, 4, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 t when two letters picked without replacement from {v: 1, t: 3, w: 1, f: 1, a: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 538579658?\nAnswer: 2, 9397, 28657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/5)*m**5*(m*m**(-2\/7)\/m)**31 assuming m is positive.\nAnswer: m**(-128\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 0.6189\nAnswer: 0.6189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 2*a = 60, -a - 7566 + 7458 = -4*m for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 143022684529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3*k - 4 = 0. Suppose b - 20 = -k*n, 0*n - 28 = -2*n - 3*b. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112\/(-14)*(-10)\/4*285\/114.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 6:39 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzzzzzzzzznnzznzz. What is prob of picking 1 n and 3 z?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 1901 = 151. Let z = y + -511. Solve 0*u = -4*s + u - 21, 2*s = -z*u - 8 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10027919?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c. Let j(n) = 1472544*n. Calculate j(p(i)).\nAnswer: 2945088*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -205 + 32. Suppose 0 = -52*v + 47*v + 1410. Let k = n + v. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12.04, 2\/3, 0.03, 0.89.\nAnswer: 0.03, 2\/3, 0.89, 12.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 337*p - 674. Let b be v(2). Solve -8*n + 5*a - 13 = -5*n, -4*n - 3*a + 31 = b for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1434145 (base 6) to base 10.\nAnswer: 82577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4710320 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403 is divided by 46?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2374 + 25097*s - 2374.\nAnswer: 25097*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - 4. Let u = 35 + s. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1387, 5, -5, 1, 3, -3109 in decreasing order.\nAnswer: 5, 3, 1, -5, -1387, -3109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + o**2 - 2*o. Let y be x(2). Suppose 3*a - t - y = 9, 3*a + 2*t = 2. Let i(u) = u**3 - 2*u**2 - 3*u + 6. What is the tens digit of i(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 17*z**2. Let a = 156 - 125. Suppose 3*c = a + 20. Let s(w) = 3*w**2 - 14*w + c*w - 3*w. What is s(m(f))?\nAnswer: 867*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(637) + 1 + -3 - (sqrt(637)*-1 + sqrt(637) + 5) - (sqrt(637)*-1 + 5 + sqrt(637)*1 + 0))**2 + -5.\nAnswer: -168*sqrt(13) + 779","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -4, 315 in increasing order.\nAnswer: -4, 18, 315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.37 - -0.37. Let i = -7 - m. What is the second smallest value in i, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 35) + -18 + 70 + -41?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 148385319 and 159.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 15 = 9*x. Let h be 1*(x - 0)*(-50)\/(-6). Sort h, -2, 2 in decreasing order.\nAnswer: 2, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 39\/(-91) + 24\/7. Suppose 168 = -3*k + 5*o, -4*k - o - 238 = -m*o. Let f = 169 + k. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m + 1. Let s be 210\/(-175)*(-10)\/6. Let q(b) = -1. What is s*f(v) + 2*q(v)?\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6 + 0.8. Let b = 0.1999936 - m. What is b rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 3*r**2 - 2. Let t be f(4). What is the greatest common divisor of 21 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000079907938 to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -187*r**4\/4 - 7*r**3\/3 - 8. What is the third derivative of h(q) wrt q?\nAnswer: -1122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 14) in base 10?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 23. Let a(o) = o**3 - o**2 + o + 32. Let b be a(0). Let h = b - 24. Calculate the least common multiple of j and h.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b + 12. Let f be o(6). Let k = 0 + f. Let u(n) = 24*n**2 + 3*n + 7. Is u(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3144, -3137, -3130?\n\"Answer: 7*d - 3151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97619 is divided by 6442.\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -182 and -240 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30524010 is divided by 1580.\nAnswer: 1570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(6\/(-10)) + -121 + 123. Let h(f) = -f**3 + 4*f**2 + 5*f + 3. Let x be h(5). Put 5, j, x in descending order.\nAnswer: j, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 10, d: 2}. Give prob of picking 1 i and 1 d.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 + -8 + 92 + -132.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 15224*h - 152369. Determine f(10).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-238)\/77 + 3)\/(((-112)\/(-22))\/(-14)). Factor 1\/4 + p*q**3 - 3\/8*q**2 - 3\/8*q.\nAnswer: (q - 2)*(q + 1)*(2*q - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1322608, 2645220, 3967832, 5290444?\nAnswer: 6613056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*c + 6, 2*d + 8 = 4*c - 0*c. Suppose -4*n + d*a = 0, -n + 5*a = -0*n. Suppose g + n*g + 2304 = 3*x, -4*x + 3073 = -g. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5c + -3d5?\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/4 (b) -0.049 (c) -4 (d) 3 (e) 0.257\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 514675 is divided by 3032.\nAnswer: 2267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -32 + 2. Suppose 3*w + 2*c - 97 = v*c, w - 32 = c. Calculate the remainder when w is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -61\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -114*h**4*v**3 + 17*h**4 + h**3*v + 73*h**2*v**2 + 12*h*v**3 + v**3 wrt h.\nAnswer: -2736*h*v**3 + 408*h + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4207?\nAnswer: 7, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/f**(-1))\/f)\/f)**(4\/3))**24 assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(-1 + sqrt(300)) + (0 + sqrt(300))*1 - (sqrt(48)*-5 + sqrt(3) - (sqrt(3) + -3)*-3)) + -3)**2.\nAnswer: 224*sqrt(3) + 817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 5*l - 2*l)*(-22*l + 2 + 34*l - 13*l).\nAnswer: -l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2564862 is divided by 777.\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19090579 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 88448 + 169?\nAnswer: 885b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 8 = -6. Suppose 50 = m*o - 3*o. What is o rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8106522211 from -0.4.\nAnswer: 8106522210.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 15) to base 6.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 258 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1744\/(-3052) + (-24)\/14.\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*l + 96*l + 1845 = -136*l - 9318 for l.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u = -3*w + 4*u + 28, -12 = -w + 2*u for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v + 2. Suppose -5 = 5*s - w - 22, -w = 2. Suppose -3*d = -t + 2, 0 = 5*t - 2*t + s. Let n = d - 1. Calculate x(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(2\/5)*k**(1\/9))\/((((k**1*k*k)\/k)\/k)\/(((k\/(k*k*k*k*k**(-10)))\/k)\/k)) assuming k is positive.\nAnswer: k**(248\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2057953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjtjjftjaffjjr. What is prob of picking 1 r and 1 a?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 24*s**3 + 84*s**4 - 27\/2*s**2 - 5 - 6*s. Factor g(q).\nAnswer: 3*(4*q + 1)**2*(7*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 4:09 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1030 divide 25654628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 70674?\nAnswer: 1060110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 0*y + 5*y + 2711, -2*p = -3*y - 1807. Suppose 287 - p = 5*z. What is the tens digit of z\/(-9) - (-3)\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + m**2 - 10. Let s be a(0). Let p = 11 + s. Let d be 7 - (4 - 1)\/p. Solve 3 = 5*x - 2*o, -2*o - 1 = x - d*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 486 - 486. Let s be 2 - (2 - 3)\/1. Suppose -2*q = s*q - 15. Solve d = z - 0 + q for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 4*m - 55. Let p(a) = 21 - 16 + m - 2*a. Give p(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11695846249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 50657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13425, 26859, 40303, 53763, 67245, 80755?\n\"Answer: y**3 - y**2 + 13430*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1777, -13746, -46093, -109006, -212673, -367282?\nAnswer: -583021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1238 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -24 - -27 - -5*2\/2. Let q(n) = -n. Give q(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1669*k**2 - 17981800*k - 64644.\nAnswer: (k - 10774)*(1669*k + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10821600 divided by -6480.\nAnswer: -1670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99882, 99851, 99822, 99795?\nAnswer: 99770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 1845.136?\nAnswer: 7380.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 32*r - 162. What is o(4)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u - 5707775834 - 6*u + 3*u**2 + 5707775834.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 0 + 3 + 0 - 4 - 1 + 3 + 1 + (0 + 6 - 4)*(4 - 4 - 2) - 3 + 0 + 2)*(2*f**2 - 4*f**2 - 2*f**2) to the form p + m*f**2 + a*f and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 1 - 43*t + 41*t + (-5*t + 3*t + t)*(-3 + 2 + 3) in the form i + r*t and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.18089 from 6.\nAnswer: 6.18089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + ((sqrt(7) - sqrt(21)\/sqrt(3)) + -5 - (-2 + sqrt(63))) + (sqrt(315)\/(sqrt(10)\/sqrt(2)))\/(sqrt(576) + sqrt(576)*1 + sqrt(576) - sqrt(576))).\nAnswer: -235*sqrt(7)\/16 - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*p + 3*c = 21, 2*p = -c + 9. Suppose -4*z + 2*t + 224 + 176 = 0, p*z = 3*t + 294. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 165.5 + -11.5. Let d = 153.9919 - f. Round d to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6596612 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 36367674 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k = 16*k - 8. Let c be 1*(k - -2)*2\/(-10). Factor -12\/5*g - 18\/5 - c*g**2.\nAnswer: -2*(g + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**5\/5 - 1494*k**4\/5 - 6*k**3\/5 + 4486*k**2\/5 - 2988*k\/5 = 0. What is k?\nAnswer: -2, 0, 1, 747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2 + 3*a - 8. Is q(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -543 - -543.3. Put -0.02, a, 2, -3\/4 in decreasing order.\nAnswer: 2, a, -0.02, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 12)*3\/6 - -9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.1264001 rounded to 3 decimal places?\nAnswer: 28.126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2143717.\nAnswer: 17, 47, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*z**3\/5 + 8*z**2 + 122*z\/5 + 36\/5.\nAnswer: -2*(z - 9)*(z + 2)*(3*z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of k**5\/60 + k**4\/12 + k**3\/3 + 2*k**2. Suppose 3*n + 2 = 2*n. What is the units digit of z(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 371\/(-1470) + (20 - 9522\/483)?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -758 + 20319. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9574569 minus 14?\nAnswer: 9574555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*h - 9. Let x = -2 - -3. Suppose -4*a + 13 - x = 0. Calculate the lowest common multiple of a and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 21*b - 33. Let l(i) = 1 - 7 + 7 - i - 3. Let u(j) = -4*l(j) + 2*z(j). Differentiate u(s) wrt s.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*o + 20*o + 38 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -2*k**5\/25 + 87*k**4\/10 - 56*k**3\/5 - 172*k**2\/5 + 1185. Suppose l(c) = 0. Calculate c.\nAnswer: -1, 0, 2, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.15 - -32.25. Let m = k - 32.3999467. What is m rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -25*t. Let n(b) be the third derivative of 77*b**4\/2 + 2*b**2 + 195. Determine -4*n(d) - 147*u(d).\nAnswer: -21*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*p = -28, q - 16 = -5*p + 10. Solve -5*u = -36 + q for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/39144 and 97\/28.\nAnswer: 39144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 46 + (5 - 3\/1). Suppose a = -3*y - y. What is the lowest common multiple of (9\/6)\/((-9)\/y) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -134 in 3, 2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*38\/((-608)\/(-22)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(204) + sqrt(204) - sqrt(204))*-2 - sqrt(204))\/(sqrt(60)\/(sqrt(15)\/sqrt(3))).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-43)*(9 + (1 - 8)). What is the nearest to -0.1 in a, 0.2, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.4 - -9.99. What is f rounded to 1 decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1063557 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 13010131330 (base 4) to base 10\nAnswer: 1853308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*q + x + 104, 2*x = q - 43. What is the remainder when 105 is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 72.24267109 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1006, -2036, -3088, -4162, -5258, -6376?\nAnswer: -7516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 4222*p - 1926*p**2 - 4222*p to the form l*p + a + x*p**2 and give x.\nAnswer: -1926","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161827 is divided by 88?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(190)*-1 + sqrt(190)))\/(1*sqrt(90)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 8:01 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31675750 to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2 + (0 + sqrt(304)*2 + sqrt(304) + sqrt(304) + sqrt(304))*2 + 0 + 5)**2.\nAnswer: 480*sqrt(19) + 30436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3050 and 122?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q + 1. Let j(m) = 15*m**3 - 3*m - 2. Let c be (6\/(-21))\/((-14)\/(-2940)*10). Determine c*s(p) - 2*j(p).\nAnswer: -30*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nqr when three letters picked without replacement from {j: 9, r: 8, q: 2, n: 1}.\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 897022.8 millennia in months?\nAnswer: 10764273600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 217782693 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (18 + 783\/(-45))\/(4\/(-60))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 1\/(-9) - 1. Let x = -423.9 - -418.9. Suppose -24 = 4*n + 2*n. Which is the second smallest value? (a) n (b) g (c) 2\/5 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97\/273 + -22*(-30)\/(-2145).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mi when two letters picked without replacement from joojiijfomjojjjofo?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z**3 - 5*z**2 - z. Let j(w) = w**3 - w - 1. Let v(o) = -2*j(o) - r(o). Let c be v(-4). Let t(b) = b**2 - 5*b - 4. What is t(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.58 + -4.11. Let l = 181.47 + -181. Let j = l - p. What is the closest to 0 in 23, -1\/6, j?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -921*s**2 + 129756 - 129756 + (-3 + 2 - 1)*(-3*s**2 + 2*s**2 + 2*s**2) + 5*s**2 - 6*s**2 - 8*s**2 in the form a*s + u*s**2 + i and give u.\nAnswer: -932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5159 (base 12) in base 10?\nAnswer: -8853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4 = -2. Suppose 5*q - 4*p = x*q + 11, 5*p = q. Suppose 0 = -5*f + 3*i - 26, 2*i = 4*f - 3*i + 26. Put f, q, -2 in decreasing order.\nAnswer: q, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3725883*i**2 + 2733057*i.\nAnswer: 7451766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.04 - -0.01. Let u = 4.05 - z. Which is the third smallest value? (a) u (b) -2\/5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, -233, -488, -833, -1262, -1769, -2348, -2993?\nAnswer: -3698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 37709\/35 - (-2)\/(-5). Suppose -5*i = 12 - y. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3865 (b) 15 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 587662175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 j when three letters picked without replacement from nnnjnnoqnnnlnjnn?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 14. Suppose f - t = n*t - 39, 2*f = 5*t - 63. Let u = 52 - f. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -671.\nAnswer: -3355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 23*g**2 - 13*g + 44. What is the tens digit of w(22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 20 = -4*p. What is the first derivative of -1 + 0 - 2*o**p - 1 wrt o?\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 0*t**4 + 0*t**3 - t**2 + 3*t + 0 + 1\/20*t**5. Differentiate d(a) wrt a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, k: 1, v: 2, f: 1, g: 2, y: 1}. What is prob of picking 2 r?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111346579?\nAnswer: 37, 241, 12487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -h - 3*t + 546913, 0 = -3*t + 9. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 22 = -5*i - n, 5*i + 2*n - 17 = 0. Find the second derivative of 8*g + 4*g**i + 4*g + 14*g - 8*g wrt g.\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) 1 (b) 7\/3 (c) -3 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -59 - -869?\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/9*(4 + 3 + -10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226388537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1626485 greater than 1626485?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*r + 11*r - 7*r.\nAnswer: 21*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 60 = i. Let f be 3 + (0 - (i\/4)\/(-1)). Suppose 0 = -4*h + f - 10. Sort -23, -2, h in descending order.\nAnswer: h, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -224.845 less than 0.487242?\nAnswer: 225.332242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3223 + -3218. Let q(x) = x**2 - 3*x - 13. Give q(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47441 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3384?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1052*u**4\/5 - 35376*u**3 + 9921408*u**2\/5 - 186102784*u\/5 + 25288704\/5.\nAnswer: 4*(u - 56)**3*(263*u - 36)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 91 and 7.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 17. Let m(t) = -11*t + 3*t**3 + 10*t - t**u + 0*t**3 + 1. Let o be m(1). Solve -o*g + g = -1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1374 by 2.\nAnswer: 687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o - 12. Let f(z) = -z - 1. Let g(q) = -3*f(q) - j(q). Let x be g(11). Solve -4 - 4 = x*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -202.61346 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**6\/12 - i**5\/12 - 7*i**2. What is the third derivative of k(s) wrt s?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sy when two letters picked without replacement from yxxrs?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 62?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1094)\/4)\/((-15)\/20). Let n = v - 360. Let o = n + -73\/15. Which is bigger: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5801225 millilitres to litres.\nAnswer: 0.0005801225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1247*t**6 - 556*t**2 + t - 2.\nAnswer: -149640*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -45281?\nAnswer: 45278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*g = -14*g - 28 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 1 + 11)*(2 + b + 1 - 1)*(85*b**3 + 16*b**4 - 85*b**3).\nAnswer: 304*b**5 + 608*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 3*i**2 + 6*i - 6. Let p be t(4). Let z(s) = s**3 - s**2 - s. Let c be z(p). Let v be 3\/c - (-11)\/(-2). Put 1, -5, v in decreasing order.\nAnswer: 1, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-156)\/234)\/(8*5*2\/6)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-2))\/((-2)\/42*2*(-7662)\/(-10216))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*y - 4*y - 60*y as x*y + h and give x.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -8) + 3 - (3 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/(-10)*(-3630)\/2376 and 23\/1016.\nAnswer: 9144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 5:35 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 21\/2. Suppose -32 = 38*v - 22*v. Let l = -3.2 + 3. Sort j, l, v.\nAnswer: v, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -z - 0*z. Suppose 0 = -2*j - 2*j + 4*t, 0 = -3*j + 5*t - z. Let w(l) = -3*l**2 + l**j + 3*l - 10*l + 2 - 3. Give w(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0863 - 37.1863. Let r = s - -38.1. Which is the nearest to r? (a) 0.23 (b) -3 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.53 - -0.23. Let i = o + 4.6. What is the third smallest value in -1\/2, -5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (11 - (-4 + 18) - -19).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*i**3 + 12*i**3 - i**3 + 27*i**3.\nAnswer: 48*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 827.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*z + 54, 12*z = 10*z + u + 35. Let q(m) = 6*m + 8*m + 21*m - z*m. Let v(f) be the third derivative of f**4\/24 - f**2. Calculate q(v(y)).\nAnswer: 19*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 + 284300*v - 284296.\nAnswer: -4*(v - 71074)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1706116.502 rounded to the nearest one hundred?\nAnswer: -1706100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*b - 5*s + 45 = -25*b, -b - 5*s + 30 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.67 * -8.\nAnswer: 61.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/275 less than or equal to 0.71672?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*u - 37 = 4*c + 185*u, 3*c + u + 31 = 0 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39929, 159711, 359347, 638837, 998181, 1437379, 1956431?\nAnswer: 2555337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 7:00 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -78.843487 rounded to two decimal places?\nAnswer: -78.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-5\/4)\/t)\/t)**(24\/13))**(2\/15) assuming t is positive.\nAnswer: t**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 9*l**2 + 9*l + 12. Let k be q(10). Solve -4 = k*v - 14 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93, 234, 469, 798, 1221, 1738, 2349?\nAnswer: 3054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - f - 4*f)*(2 - 1 - 4*f + 1) + (0*f + f - 6*f)*(f - 2*f - 3*f).\nAnswer: 24*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -636*m - 3. Let t be k(-2). Suppose z + t = -6931. What is z rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 6*t**2 + 15*t - 37. Let q be 1\/((-7)\/84) + 1. What is the tens digit of a(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/28965760 and -77\/100.\nAnswer: 144828800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/6)\/((-3)\/(-60)*-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(1\/3)*f*f)\/f)\/f**(-4\/11) assuming f is positive.\nAnswer: f**(67\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 85?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/((j\/(j**(-4\/7)\/j))\/j)*j\/(j**12\/j) assuming j is positive.\nAnswer: j**(-74\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 56890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56 - -61. Suppose -x*j - 3128 = -13*j. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qs when two letters picked without replacement from {m: 1, q: 2, s: 2, a: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 8*u - 2. Let t be (6\/(-15))\/(2\/(-30)). Suppose -3*i = -0*i - t. Is 7 a factor of v(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -412*a + 3. Is w(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 + 28. Let o(i) = -5*i + 14. Let u(v) = -2*v + 6. Let c(a) = d*u(a) + 6*o(a). Let b(p) = -14*p - 2 + 2. What is c(b(r))?\nAnswer: 28*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 1c7?\nAnswer: 1c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5065395, -5065397, -5065399, -5065401?\nAnswer: -5065403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -599296*o**3*p*v**2 + 2*o**3*p + o**2*p*v + 467*o**2 + 5*o*p*v - 6*o*p + 4*o*v - 26*p*v**2 + 2*p*v wrt v?\nAnswer: -1198592*o**3*p - 52*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 4*u - 167 - 63, 3*b = 3*u + 720. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**2*r**(2\/19)*(r**(-1))**(11\/6) assuming r is positive.\nAnswer: r**(31\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -198901*g. Let t(h) = 3*h**2 - 55*h. Calculate t(d(u)).\nAnswer: 118684823403*u**2 + 10939555*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of f**4\/12 - f**3\/6 - f**2\/2 - 26*f. Let c(v) = -6*v**2 - 6*v + 6. Let o(b) = -c(b) + 2*x(b). What is the units digit of o(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176704 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2. Suppose 2*v - 12 = 5*v. Let r(u) = -76*u - 11. Let y(g) = -15*g - 2. Let x(i) = v*r(i) + 22*y(i). Give m(x(o)).\nAnswer: -676*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from veeefveevbejejevbeey. Give prob of picking 1 v, 2 e, and 1 b.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2001 - 8*i**2 + 2001.\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87188, 86529, 85870, 85211?\nAnswer: 84552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2607.7 - 2608. Let h = 3 + -4. Let n = h - -4. Which is the biggest value? (a) i (b) n (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(2\/(48\/(-18)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.77 - -36.23. Let g = 71 - d. Let l = g + -33.999955. What is l rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*4\/(-48)*(-30)\/50?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/2 + 32477*p**2\/2 + 16228*p - 324760.\nAnswer: (p - 4)*(p + 5)*(p + 32476)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 490 and 1335790.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 270 and 12906.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 - 9*c**2 + 10*c**2 + 17*c**3.\nAnswer: 17*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 53357587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 660 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.6 - -3. Let j = -32 + 30. Sort u, j, 0 in descending order.\nAnswer: u, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 2*f = -24. Suppose -2*m + 8 = -f. Calculate the greatest common factor of 40 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 83*t + 671. Let r be p(-8). Put -1, r, -5, 2 in ascending order.\nAnswer: -5, -1, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*h - 2*h + h)*(3 - 5 + 9) to j + c*h and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/21736991 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 58324274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 6*c - 5. Let m(p) = -5*p + 3. Let x(r) = 3*m(r) + 2*s(r). Let y(u) = 6*u + 2. Determine -5*x(b) - 2*y(b).\nAnswer: 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 2*d + 17. Let x = d - 4. What is the greatest common divisor of x and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 5*v = 135, f + 2*v = -3*f + 98. Calculate the highest common divisor of f and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 + 114*b**2 - 1617*b.\nAnswer: 3*b*(b - 11)*(b + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(1\/6)*n\/n**(-5\/2)*(n**(-2\/5)*n)**49)**(-1))**(1\/33) assuming n is positive.\nAnswer: n**(-511\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(6\/4)\/(-3). Let k(d) = -6*d**3 - 20*d**3 - 2 + 1. Let f be k(l). Solve a = 2*a - 3*z - 16, 4*z = 5*a - f for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**2 - p + 24. Give x(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13265104 or -13265103?\nAnswer: -13265104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f - 3. Let i be a(-8). Let k(u) = i + u - 4 - 6*u. Suppose -9 = -4*l - 1. What is k(l)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2492 + 27410\/11. Do -0.072 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23 + 5252?\nAnswer: 5226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 557 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(8208))\/(sqrt(24)\/(sqrt(8)*-3) - sqrt(3)).\nAnswer: -9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**2 + 4131*b - 4131*b.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 14. What is w in -318*w - 2*w**2 + 2*w**j + 318*w = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.077 times -0.023\nAnswer: -0.001771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 3*t - 4*t)*(-4*t + 4*t - t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25202126*a*m**5 - 4*a*m**4 - 4*a*m**2 + 3*a*m - 37*m**2 - m - 2328 wrt m.\nAnswer: -1512127560*a*m**2 - 96*a*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13852.\nAnswer: 2, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7546424 centuries in millennia?\nAnswer: 0.07546424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3295960 divided by 48470?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**3 - 26*w**2 - 22*w - 4. Determine h(-12).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -3*u + 5*h + 1, 3*u + 2*h - 8 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b - 7. Let k(n) = 45*n - 16. Let p(o) = -5*i(o) + k(o). Let g = -12 - -24. Is p(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 2:55 AM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + c - 3. Suppose 10 = 5*p, 2*p - 1 = -3*y + 4*y. Let q = y - 6. What is the units digit of n(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*w**2 - 2591175478 + 2591175478.\nAnswer: 30*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3673, 4994, 6315, 7636, 8957?\n\"Answer: 1321*y + 2352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-36)\/16 - 3\/(-1). Is 0 smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)\/(sqrt(72) - sqrt(8)))**2 + -4 + sqrt(176))*-3 - (1*(sqrt(11) - sqrt(44)\/sqrt(4)*6))**2*4.\nAnswer: -4385\/4 - 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 51, 51, 51, 45, 27, -9, -69?\n\"Answer: -a**3 + 6*a**2 - 11*a + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*o**2 + 8848 - o**3 - 8848 + (0*o + o**2 + 0*o)*(-3 + 3 - o) as u*o**2 + r + v*o + g*o**3 and give u.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (8 - (0 - -6 - 8 - -4)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 101 - -2?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7899\/11 + -718. What is the closest to -1\/2 in 14, -1\/7, j, -4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5304423 divided by 7\nAnswer: -5304423\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2778309 is divided by 92610?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 1. Let d be (2 + 8\/r)*-6. Let n = 47 + d. What are the prime factors of n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-142)\/12 - (-4)\/(-24). Let f(r) = -r**3 - 13*r**2 - 13*r + 4. Calculate the least common multiple of 3 and f(n).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -45, 12, 1\/3, -10\/9 in ascending order.\nAnswer: -45, -10\/9, -1\/4, 1\/3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4566527179?\nAnswer: 4566527179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of s**5\/3 - 3*s**4\/2 + 17*s**3\/6 + s**2 - 5. Is u(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nelljrrj. What is prob of picking 1 l and 1 n?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2810 - 24*g**2 - 2810 + 8*g**2.\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/8 and 31\/44.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**4\/2 + 117*v**3 + 969*v**2\/2 + 612*v + 246 = 0. What is v?\nAnswer: -2, -1, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 63580920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - j. Let h(k) = 98*k**2 - 70*k. Let w(s) = h(s) - 70*i(s). Let l(x) be the first derivative of x**3 + 44. Calculate l(w(f)).\nAnswer: 2352*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - y**2 - 1)*(5 - 7*y - 5)*(5 + 1 - 5).\nAnswer: 7*y**3 - 28*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14091 is divided by 141.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(1\/3)*z)\/(((z**(-2\/3)*z)\/z*z)\/z))**(-37)*(z\/(z**(2\/5)*z)*z)**(-19)\/(z**(-2)*(z\/z**6)\/z*z) assuming z is positive.\nAnswer: z**(-577\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -5*u**4 - 30840*u**3 - 30775*u**2 + 370020*u = 0.\nAnswer: -6167, -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v + 628. Let u(o) = -o + 671. What is p(u(k))?\nAnswer: -k + 1299","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 2. Let y = 0.2 - 0.2. Which is the closest to -1? (a) y (b) p (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/10*(-28)\/154\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + -0.019.\nAnswer: 37.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55.69 + 0.91. Let s = p - 51. Let i = -5.60000033 + s. Round i to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30629373 is divided by 1734?\nAnswer: 1731","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 3:55 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72 - (123 + -48)) + (0 - 6) + 72?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + y**2 - 5*y + 1. Let l = -4 + 6. Let m be g(l). Solve -4*z - 15 = -m for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnnnggnngn.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6174 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - 2*d + d)*(2*d**2 + 2*d**3 - 2*d**2) - 4*d**4 + 9*d**4 + 13*d**4.\nAnswer: 16*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 9880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of s**6\/360 + s**5\/60 - 2*s**3\/9 - 3*s**2. Factor x(h).\nAnswer: (h - 1)*(h + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123.1 rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.5 (b) -1.07 (c) 0.126 (d) -6 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -80740.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2163*b - 8758. Give t(4).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**2 + 0*n**2 + 109*n - 109*n.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/3)\/w)\/((w**(-6\/7)*w)\/w))**40\/((w**(2\/11)*w*w)\/(w**(1\/3)\/w))**(2\/51) assuming w is positive.\nAnswer: w**(88444\/11781)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 5. Let r be (9\/5)\/((-6)\/(-20)). Solve p*v - r = 6 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31047 and 523059?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 99 - 91. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -8, 12, -23 in increasing order.\nAnswer: -23, -8, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**5 - 3*m**5 + m**5)*(-2 + 3 + 0) + 7*m**5 - 13*m**5 - 11*m**5.\nAnswer: -16*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4 - 24 = 0. Solve 0 = -2*m - l*y + 17, m + 0*m + y - 4 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*s + 11. Suppose 13 + s = 8*p. Solve -4*r - 32 = -12, -2*d + 21 = -p*r for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 6*v - 3. Let c be u(-5). Solve 0 = -5*o + 3*j - 4*j - 1, -c*j = -8 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1053 - 1047.79. Let r = 5.2 - l. Put -2\/17, r, 0.2 in ascending order.\nAnswer: -2\/17, r, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z - 8. Let g be a(-3). Let f = -7.4 + 0.9. Let i = f + 7. What is the closest to g in 0.2, -0.1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40793521?\nAnswer: 163, 250267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -286989*0.12.\nAnswer: -34438.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 1:59 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/5))**(2\/37))**(-1\/58)*((p**(3\/2)\/p)\/(p*p**4))**3 assuming p is positive.\nAnswer: p**(-144851\/10730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**5\/3 + 16*o**4\/3 - 79*o**3\/3 + 52*o**2 - 36*o = 0. What is o?\nAnswer: 0, 2, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24\/(-5) + 48\/60 - (2 + -296) is divided by 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**5\/7 + 104*q**4\/7 + 1072*q**3\/7 + 5472*q**2\/7 + 13824*q\/7 + 13824\/7 = 0 for q.\nAnswer: -6, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*s = -52, n + 25 = 9*s - 4*s. Let q = 94 + -132. Which is smaller: n or q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000042879 to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 527186, 527167, 527098, 526955, 526714, 526351, 525842, 525163?\nAnswer: 524290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7.97909 minutes?\nAnswer: 478745400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/15)\/(-1) - (-7)\/(-35). Suppose p - t = -d*p + 4, -3*p = -5*t - 14. Is (-1379 - 2)\/(p - 4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + z = -8*k + 6, 0 = -5*k + z + 36. Suppose j + k - 37 = 0. Calculate the highest common factor of j and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 0 + -19 + 31 + -137 + 55.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*n + 0*n - 10*n)*(-3*n + n - n) + 0*n + 6*n**2 + 0*n + 1 - 1 + n**2.\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/8)\/(i*((i**(-1)\/i)\/i)\/i))\/(i*i*i*i**5)**(-6\/11) assuming i is positive.\nAnswer: i**(615\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -v + 211 - 225, 4*v = w + 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35*(-34)\/833)\/(25\/350)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c - 446 + 74 = 0. Let q = -17 - -21. Which is smaller: c or q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 573, -3, 5, 4 in decreasing order.\nAnswer: 573, 5, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3801, -6 in descending order.\nAnswer: -4, -6, -3801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8, 71, 236, 551, 1064, 1823, 2876?\n\"Answer: 8*p**3 + 3*p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 + -678.\nAnswer: -678.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 19997*u + 55778*u + 5.\nAnswer: 35781*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 75673169?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 5*w = 0, 9*w - 4*w = -5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 11*u - 6 + 4*u - 16*u. Let k be o(-7). Solve 0 + k = -j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*z**3 + 9*z + 7*z**3 - 6*z**3.\nAnswer: -14*z**3 + 9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 3*y. Let m be l(4). Let f = 1.085 - 1.185. Let i = 0.09 + -0.29. Which is the nearest to 0.2? (a) f (b) i (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(3\/5)*(b\/b**(-34))\/b*b*b**(2\/115)*b*b**11 assuming b is positive.\nAnswer: b**(5476\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 (base 6) in base 7?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 62710983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1221300312 + -33?\nAnswer: 1221300213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6580862 to the nearest integer?\nAnswer: 2565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 26.3 and 0.08?\nAnswer: 26.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v**3 - 2*v**2 + 27*v + 257. What are the prime factors of y(-7)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33 - (66 + -32)) + (-3 - 5) - -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1, 71, 65801.\nAnswer: -1, 8, 71, 65801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56023.\nAnswer: 11, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -7 - 38. Let v be z\/12 - 51\/12. Let g(t) = -t**3 - 4*t**2 + 6*t - 7. Calculate g(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 2.07. Are c and 2\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 46 = 3. Suppose -n = o*n + 16. Put n, 20, 5 in increasing order.\nAnswer: n, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2893*f + 3392*f + 1389*f - 165*f.\nAnswer: 7509*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 163994032 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8722992.\nAnswer: 2, 3, 181729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*(d\/(d**(-6)\/d*d))\/d*d*d))**(1\/12)\/(d\/d**(-1\/4)*d*d**(-14)) assuming d is positive.\nAnswer: d**(133\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7476 is divided by 7349.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*d**3 + 6316*d**2 + 3*d - 629487 wrt d?\nAnswer: 15*d**2 + 12632*d + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2 + 43*x - 25. Calculate o(-22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 3504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9557836 = 15*z - 4812164. What is z rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1815, 2902, 3995, 5094, 6199, 7310?\n\"Answer: 3*n**2 + 1078*n + 734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-58)\/(-3)*45\/2. Let p = 670 - n. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1591854090.\nAnswer: 2, 3, 5, 829, 64007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 2*l - 2*l)*(0*l + 4*l - l)*(-10 + 10 + 27*l**2 - l + (-l - 3*l + 3*l)*(0 - 2*l + 0))*(-2*l - l + 5*l).\nAnswer: -174*l**5 + 6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 0*o + 3*o)*(1 - 1 + 1) + 43*o - 46*o + 302*o + 2 - 2 + o + (0*o - 3*o + 4*o)*(-1 + 3 - 1) - 4*o + 4*o + 2*o.\nAnswer: 305*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2 + 3*x - 6. Let t be f(-3). Solve -t*j = 4 - 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2006127049.\nAnswer: 26783, 74903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 556133.\nAnswer: 29, 127, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 2:43 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (-22 - -23) + -4*90\/40.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 15 = 7*z. Let s be ((-16)\/2)\/z - (-96)\/12. Solve -s*c - 8 + 0 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 662 + -4?\nAnswer: 65a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 3:39 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -q**4\/24 - 5*q**3\/6 - 2*q**2. Suppose -24 = 2*j + 4*h, 5*j - h + 11 = -16. What is u(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-3))\/(((-231)\/14)\/11)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*t = -47*t + 21*t + 17892. What is the greatest common divisor of 20 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -p**6\/30 - p**5\/4 - 3*p**4\/4 - 8*p**3\/3 - 11*p**2\/2 + 6*p. Let f(o) = -o - 1. Let y(a) = -18*f(a) + 2*u(a). Factor y(x).\nAnswer: -2*(x + 1)**3*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 1 = 5. Let t be (2 - (4 + -337))*x. Suppose -4*f + t - 31 = 0. What is the remainder when f is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2240 and 13724760?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/6, 0.1, 0.19, 4\/5, 3.42?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of 5*o**7\/42 + o**6\/3 - 7*o**5\/4 - 25*o**4\/3 - 10*o**3 - 138*o - 1. Factor z(u).\nAnswer: 5*u*(u - 3)*(u + 1)*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v**3 - 2*v + 135. Does 9 divide u(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (11\/(231\/14))\/(2\/255)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**2\/5 + 7035851*c\/5 - 1407170 = 0.\nAnswer: 1, 7035850","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 6 - 32*v + 106*v**2 - 102*v**2 as a*v**2 + r + w*v and give w.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26214 and 3084?\nAnswer: 1542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 22 = -5*f, -3*c + 7*f - 2*f - 14 = 0. Let k(q) = q**2 - 7*q + 6. Let u be k(7). Let i = u - 4. Solve -b - i = -c*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 8:31 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8324 - 21.5612.\nAnswer: -8345.5612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*u - 1\/9*u**2 + 5\/3.\nAnswer: -(u - 3)*(u + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -143*h**4\/3 - 411*h**2\/2 + 305*h. What is the derivative of g(s) wrt s?\nAnswer: -1144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13616524 is divided by 438.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2333701\/70 - -33340. What is the common denominator of u and 9\/70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 + 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 730914 and 94428.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -314, -2\/15, 7181\/4 in decreasing order.\nAnswer: 7181\/4, -2\/15, -314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1523 is divided by 252.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2172 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -224*v**2 + 1569*v - 5. What is w(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + -3 + (-1 - -4). Let j(h) = -48*h - 1. Let d be j(s). Let r = 71 + d. Solve 4*c + r = 2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 115*m**2 - 177*m + 70. Does 10 divide p(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*b + 3*b - 3*b - 78*b + 16*b - 4*b + 7.\nAnswer: 2*b + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.62580196 to 2 dps.\nAnswer: -3.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/5*(8 - (17 + 1)). Suppose -h*p - 5*a = 31, 5*p + 5 = -0*p + 5*a. Calculate the remainder when 133 is divided by 4 + (-2)\/p*(-52)\/(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(1*-3)*-6. Suppose 0 = 2*u + g*u - 12. Do u and 3 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 119357 and 255?\nAnswer: 1790355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-22)\/4)\/((-1)\/2026 - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -334*q + 333*q + 38, -q - 2*p = 10. Factor 0 + 0*u + 6*u**4 + 6*u**3 + 3\/2*u**5 + 0*u**q.\nAnswer: 3*u**3*(u + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -2124?\nAnswer: -2128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/10*(-70)\/(-21). Is 1 bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37534267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -34 + (2 + -6)*-1. Let u = 19 - h. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -313 + -216?\nAnswer: -529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.196 + -1.826. Let u = -0.022 - n. Suppose 0*z - 11 = 5*z + r, 2*r = -2*z - 6. Put 5, u, -4, z in increasing order.\nAnswer: -4, z, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 73*s**2 + 213*s - 10. Calculate h(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.2 - -2?\nAnswer: 10.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*a - 26 = 0, 2*q + 5*a + 8 + 16 = 0. Let j be (q\/(-4))\/(4\/16). What is the greatest common divisor of 2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -1\/6*s**4 - 13\/2*s**2 - 9\/2*s + 0 - 13\/6*s**3 = 0.\nAnswer: -9, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 442 = -4*u - 44, -3*h = 2*u - 737. Calculate the highest common divisor of 40 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, i: 2, t: 1, d: 3}. What is prob of sequence gti?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -15, 1, -3 in descending order.\nAnswer: 1, -2, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*sqrt(245) + 3 - (sqrt(245) - (0 + 2*sqrt(245))))**2.\nAnswer: -6642 - 378*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 3. Suppose -2*g + 291 = r*g - 3*u, 5*g - 364 = 4*u. Suppose -9*z + 444 = 12. What is the highest common factor of g and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.8 + -2. Let s = -73\/3 + 24. Let v = -0.2 - 0.8. What is the closest to s in v, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4497 - -5841. What is the smallest common multiple of 2464 and v?\nAnswer: 14784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 136 + -233. Suppose 0*a - 370 = 4*c + 2*a, 5 = a. Which is smaller: c or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o**2 - 22*o - 173. Give q(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 156.07 + -150.8. Is 1 at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100100000100001 - -111?\nAnswer: 10100100000101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10990955856 less than -2.3?\nAnswer: -10990955858.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5926)\/17778*(2 + -3 + 10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1758 + 1176?\nAnswer: 3045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/6)\/(2\/(-4)). Let g = -240 + 239.782. Let f = 0.228 + g. Which is the closest to o? (a) f (b) 1\/6 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjcjjjjjjxxfxjxxjjzx.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2334915?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -6*((-1 + sqrt(1584))**2 - sqrt(1584)) + ((6*(sqrt(110) - (sqrt(110)*2 - sqrt(110))) + sqrt(110))\/((-1*sqrt(80))\/sqrt(8)))**2.\nAnswer: -9503 + 216*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 24*f + 1199. Give d(-50).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5977\/18012 - 9\/6004. Which is the nearest to -167\/2? (a) s (b) 3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**3 - 11*s**2 + 18*s - 102. Let d be n(5). Is -123 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 26*q - 28*q - 25, 4*p - 3 = -12*q + 15*q for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -78*z**3 + 39 - 6*z + 51*z**3 - 251 wrt z?\nAnswer: -81*z**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.228 times 1.2?\nAnswer: 0.2736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265*v = 139*v - 2520 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0307105204 rounded to 5 decimal places?\nAnswer: 1.03071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4114410 - 310204?\nAnswer: -4430114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2*t + 3)*(-2*t**2 - 2*t + 2*t) + (16 + t - 16)*(4*t**2 - 2*t**2 - 4*t**2) to the form g*t**3 + c*t**2 + l + x*t and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 724 and -0.8?\nAnswer: -579.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 3:33 PM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 - 0.1. Suppose 1 + 2 = o, 0 = -3*t - 2*o + 12. What is the closest to t in 2, d, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 24 - a64?\nAnswer: -a40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -5*t**3 + 2*t**2 + 5*t + 4. Let x be v(-3). Let j = 359 - x. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 4*l = -16788. Is 6\/9 - l\/(-18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9617*r**5 - r**4*x - 11*r**4 - 2*r**2*x + 2*r*x + 4*r - 300*x - 1 wrt r.\nAnswer: -577020*r**2 - 24*r*x - 264*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -c - 0*c + 9, -4*c = -3*y - 18 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -109 bigger than -1807\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.07 - -3.07. Let w be ((-2)\/(-3))\/((-357)\/63). Which is the nearest to 0.1? (a) w (b) h (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2795916314 to the power of 1\/2, to the nearest integer?\nAnswer: 52876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -102*p + 533 - 533 as b*p + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**2 + 4*g**2 + 3*g**2)*(-5 - 2*g - 5*g + 4).\nAnswer: -21*g**3 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 252 (base 12) to base 15\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 426\/(-994)*(-28)\/(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -6*(1 + sqrt(252)) + 0 + 2)**2*-3.\nAnswer: -27459 - 1944*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**23\/v)\/v**(1\/11) assuming v is positive.\nAnswer: v**(263\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -1, 106\/7, -9, 0.01, 80?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3*h + 0*h = 2067, -5*h - 1366 = -2*l. Let r = l + -334. Suppose -15*j = -r + 44. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -3*z + a, 4*z - 2*a + 1 = -9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 125267 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -7*b**2. Let r(y) be the first derivative of 9*y**3 - 80. What is r(s(w))?\nAnswer: 1323*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/4)\/(3\/(-18)). Find the third derivative of 3*s**3 + 61*s**2 - 55*s**2 + d*s**3 wrt s.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 83545\/28 + 3\/12. Is x\/18 - (-6)\/27 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -25, -1\/5, 11, -5 in ascending order.\nAnswer: -25, -11, -5, -1\/5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t**2 + 7*t. Let p(s) = 17*s**2 + 28*s. Calculate 2*p(v) - 9*z(v).\nAnswer: -2*v**2 - 7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31\/9913 - 587269\/62630334. Calculate the common denominator of 85\/273 and h.\nAnswer: 44226","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67*g**2 + 15*g + 1 wrt g.\nAnswer: -134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**3 + 2*j**2 + 370*j - 76. List the prime factors of p(20).\nAnswer: 2, 37, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42287 is divided by 3521.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from iiiiiaaigiiiaiaiia.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.19 - -1.81. Which is greater: i or -2\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 + 10 - 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63115, 63159, 63227, 63313, 63411, 63515, 63619, 63717?\nAnswer: 63803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 + -67\/2. Let y be (46\/(-253))\/(2\/22). Let p = 0.8 - 0. What is the biggest value in p, y, s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11807, 11809, 11811?\n\"Answer: 2*l + 11805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5175.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 51*s = 5*i - 294 + 229, 9*s + 7 = 2*s for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 208.\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**3 - 6*x**2 + 20*x + 72. What is the hundreds digit of v(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 4*v**2 - 2*v + 2. Suppose 5*x = 19 + 1. Let d be b(x). Let i(q) = q**2 + 7*q + 2. Let n be i(d). Let a(p) = -4*p - 6. Calculate a(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -26. Let l = 15446 - 15435. Calculate the remainder when h is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 - 1432*h.\nAnswer: 4*h*(h - 358)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 12) + (-58)\/12*-1.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 12. Let p(g) = 2*g - 2*g**2 - 2*g + k*g**2. Let j(b) be the second derivative of -b**4\/2 + b. Give j(p(n)).\nAnswer: -24*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2408533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11790 - 2?\nAnswer: -11792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 8:03 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-31)\/o)\/(o**(-22)*o) assuming o is positive.\nAnswer: o**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 0.0227?\nAnswer: 0.00681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13868 - (1 + 24\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221751014 to the power of 1\/2, to the nearest integer?\nAnswer: 14891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) -5 (c) -96 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-2\/17)*j\/j**37)\/((j\/j**(-6\/23)*j*j)\/j*j*j*j\/(j*j**(5\/14))))**(1\/6) assuming j is positive.\nAnswer: j**(-212315\/32844)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*s - 470 = -1772 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -68900, -68977, -69176, -69557, -70180?\n\"Answer: -10*b**3 - b**2 - 4*b - 68885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*y - 86 = 13*y - 17*y. Solve -y*x = 2*f - 18, -12*x - 5 = -13*x for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*u - 9. Let v be (-22)\/u - 6\/18. Let q(d) = -2*d - 3. Give q(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67916481760.000001126 + -67916482985. Let s = -1225 - k. What is s rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 8*a - 66. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 454, 423, 382, 325, 246, 139, -2, -183?\n\"Answer: -q**3 + q**2 - 27*q + 481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4*m + 5 - 0, 0 = -2*j - 4*m - 2. Suppose 3*c - l = j, 0*c + 2*c - 5*l = 15. Solve r - 14 = -c*r + 5*k, -14 = 2*r + 4*k for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/243720 and -95\/71496?\nAnswer: 242013960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 53 in 1, -393, 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3 - 5. Let k be -8 + (-2 - -2) + o. Let t(x) = x**3 + 6*x**2 - 8*x - 7. Let q be t(k). Solve q*b - 4*r + 16 = 2*b, -4*b = r - 18 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d**2 - 2608*d - 1. Let l(k) = k**2 + 649*k. Determine 2*j(i) + 9*l(i).\nAnswer: i**2 + 625*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38 and 1539?\nAnswer: 3078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llll. What is prob of picking 2 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 2, 32, -3, -117 in increasing order.\nAnswer: -117, -3, -2, -1, 2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 131*h**3*j**3*u + h**3*j**3 + 44*h**3*j - 7750*h*j**3*u + 23*h*j**2 - j**3 - 3*j wrt u?\nAnswer: 131*h**3*j**3 - 7750*h*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 - 42. Let f = -29 - q. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11020.42g?\nAnswer: 11020420000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 7*p. Let s(i) = 5*i. Let g be s(1). Let h = g - p. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 72, 82, 100, 126, 160, 202?\n\"Answer: 4*j**2 - 2*j + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2225 - -6377. What is the greatest common divisor of 12 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 392, 856, 1300, 1724, 2128, 2512?\nAnswer: 2876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -140*s**5 - 200*s**2.\nAnswer: -8400*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37061816?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 303987, 303980, 303973?\nAnswer: 303966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.837 - 2.837. What is the closest to 2\/9 in 0.4, -2\/5, g, -2\/81?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -9. Suppose -o*u + 8 = -4. Is u a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4*-1*sqrt(119) - 2*sqrt(119)*6)\/(sqrt(112) - (sqrt(7) + sqrt(56)\/(sqrt(8) + sqrt(128)))).\nAnswer: -20*sqrt(17)\/7 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + 0 + (((-1 + sqrt(272))**2 + -2)*-5 + -1 + -2)*-4).\nAnswer: -21728 + 640*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-1\/4))**36)**(-2\/55))**(-1\/56) assuming y is positive.\nAnswer: y**(27\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -92*x**3 + 103*x**2 - x + 1. Give c(2).\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1280\/9 + 142. Let i = -6\/169 - -584\/6929. Let y = i - -37\/82. Which is the closest to 1\/2? (a) w (b) y (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 551\/876 + 11\/292. Do -1232 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6674, 53832, 181938, 431468, 842898, 1456704?\n\"Answer: 6746*f**3 - 2*f**2 - 58*f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 11*t - 3. Let r be n(-11). Sort 1, r, 5.\nAnswer: r, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - b**2. Let p(a) = -3*a**3 - 10*a**2 - 9*a + 2. Let c(u) = 4*o(u) - p(u). What is c(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -13*m**3 + 8*m**2 - 14*m + 39. Let l be h(6). Does 57 divide 2*1*2\/((-36)\/l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/25 + -4 + 3)\/((-57)\/285).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16.983627 and 0.1.\nAnswer: 1.6983627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10*-4*(-102)\/85. Suppose -53*h + a*h = -170. Calculate the remainder when h is divided by (-19)\/2*(-2)\/1.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -v**4\/4 + 10*v**3\/3 + 5*v**2 + 16*v + 1244. Suppose 0*b - 4*b + 44 = 0. Let y be r(b). Sort -4, y, -0.2 in increasing order.\nAnswer: -4, -0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z\/z**(1\/2)))\/(((z\/z**(-3))\/z)\/z*z*z))\/(z**(-1\/3)*z)**(-36)*z**(-8)\/z**(1\/2)*z**(-4\/3)\/(z**2*z) assuming z is positive.\nAnswer: z**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -478*y**2 - 196*y**6 - 1 + 253*y**5 + 87*y**6 + 111*y**6 + 1 wrt y.\nAnswer: 240*y**3 + 15180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 17 + 18 = 0. Let s = 3 - 2. Let w be s*(2 - (2 - 63)). Calculate the highest common divisor of w and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t + 1. Let c be b(-4). Suppose -4*q + c*g - 8 = 0, 0 = 5*q + 5*g - 39 + 4. Let o be 503 + -5 + (q - 1). Round o to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 4 + 2. Let i(k) = k**3 - 3*k**2 + 2*k + 1. Let a be i(z). Suppose 3*w - 14 = a. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-24)*0 + 5. Suppose 0 = -5*c + 3*a + 156, 2*a - a + 30 = c. Suppose p - k = c. What are the prime factors of p?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 203*w + 1436. Let p be v(-7). Solve 120*m - 20 = 118*m + 4*u, -5*m + p = -3*u for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**4 + 91*k**3\/2 - 133*k**2\/2 + 22*k = 0. What is k?\nAnswer: 0, 1\/2, 1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*j - 2*y, 0 = -4*j - 0*y - y + 41. Solve l + 2*i = -5, 0*i + i - j = 2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of 721*b**4\/4 + 503*b**3\/3 - 716. Find the third derivative of v(c) wrt c.\nAnswer: 4326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192*l + 533*l = 0. Find v such that 0*v**2 + 8\/7*v**4 + 0 + 0*v**3 - 2\/7*v**5 + l*v = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 10*x + 11. Let i be k(-9). Suppose -4*a + 4 = w - 2*a, -5*a = -i*w - 1. Let z be ((-6)\/(-9))\/((-2)\/(-9)). Solve -y = -w*y - z for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -x, 3*x - 2*x = 4*v. Which is smaller: -16 or v?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 3*d**2 - 4*d - 4. Let h(u) = 7 + 5 + 0*u - 2*u. Let g be (5\/10)\/((-1)\/(-16)). Let s be h(g). Calculate n(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 181*w**3 + 4*w**2 - 6*w?\nAnswer: 1086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 8 = -2*n, -64 = -5*n - 21*h + 37*h for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 204001 (base 6) in base 13?\nAnswer: 761b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (114 - 92 - 60)*(5 + 6 + 7)*(o**2 + 0*o + 0*o - 2) as t*o**2 + k*o + d and give t.\nAnswer: -684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000209332813 rounded to 6 dps?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (66\/(-10))\/(9\/(-45))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 8:12 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, b: 1, t: 1, s: 1, p: 1}. Give prob of sequence hs.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 122712 - 122583.158. Let f = 129 - y. Round f to two dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (630\/16)\/5 - (-43)\/(-344)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 10 = -a. Suppose -2*m = 0, -11*m + 10*m - 10 = 2*t. Put -3, t, a in ascending order.\nAnswer: t, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70, 3, 16, 0, -267, 2, -6 in ascending order.\nAnswer: -267, -70, -6, 0, 2, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**2\/13 - 308596*b\/13 - 11903936402\/13 = 0. What is b?\nAnswer: -77149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -253*z + 1016. Calculate v(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -79 + 140 - (7 - (2 - (0 - -6)))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -0.9. Let b = g - 3.9. Let x = b - 1. Is -2\/7 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*289\/(-136) + (-63)\/(-18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -82827.267*-0.2\nAnswer: 16565.4534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -3 (b) -17 (c) 1900 (d) -2\/7 (e) -4 (f) -0.4 (g) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 33 - 51 - (-352)\/20\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*l + 5. Put 3, -4, l in descending order.\nAnswer: 3, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -5*f + 7. Calculate t(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t + j = -3, 4*j = -23*t + 22*t - 12 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 207, 184, 3, 2, 1, 5 in increasing order.\nAnswer: 1, 2, 3, 5, 184, 207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 + (53 - -2) + (25 - (52 + -9)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 2 (b) -2 (c) 3\/2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 9032 + 2*u - 18084 + 9052. Let z(j) = 103*j + 3 - 3 - 27*j. What is z(a(o))?\nAnswer: 152*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (50 + 1)*(-492)\/(-32). Let r = -787 + l. Calculate the common denominator of 73\/3 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*b - 37*b - 5 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 57*o**3 + 6*o**2 + 2389*o.\nAnswer: 342*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/3037 and -59\/5?\nAnswer: 15185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -816 - -816.5. Put -2\/3, d, 0.2, -3\/2 in descending order.\nAnswer: d, 0.2, -2\/3, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3298387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1014*b + 273*b - 1039*b)*(4 + 0 - 2).\nAnswer: -3560*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*l - 313 - 147. Calculate the lowest common multiple of (-22)\/(-2) - (-2 - -2) and l.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 2*t**2 - 4*t + 5. Let j be y(4). Let c(u) = 1119*u + 665829. Let f be c(-595). Which is smaller: f or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**3 + 2744*t**2 + 33219*t - 4147. Give k(1384).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1357*h**4*z - 56*h**2 + 10*z wrt h.\nAnswer: -32568*h*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2052225 + 5?\nAnswer: -2052220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -43\/2, -10225, -90?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29774*d = -29818*d + 572 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1545 and 628545?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 44255.0746 and -3.\nAnswer: -132765.2238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 + 22*b**2 + 41*b + 20.\nAnswer: (b + 1)**2*(b + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 2. Let h be v(-7). Calculate the common denominator of -31\/4 and ((-2)\/(-8))\/(h\/(-204)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/sqrt(72) - (1 + (sqrt(7) + 0 - sqrt(7)))**2)*4.\nAnswer: -4 + 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -872 - -864.21. Let l = 7.6 + n. What is l rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**0\/u**(-34) assuming u is positive.\nAnswer: u**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4*-152\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 6*v - 50. Solve -2*j = -4*j + v for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 38399 = 5*m, 0 = 3*g + 4*m + 5344 + 23494. Let i = -3993 - g. Suppose i = 4*l + 1169. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.8 + -0.800006. What is g rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 18. Let k(g) be the second derivative of -g**4\/12 - 7*g**3\/6 + 9*g**2\/2 - 19*g. What is the units digit of k(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 191474496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15628*o = -15618*o - 53480. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 340 + -338.61. Let q = -1.4 + a. Let s = q + -0.09. What is the second biggest value in 1\/2, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1086283 + 1086286. Factor 0 + 6\/7*d**f + 2\/7*d**4 + 0*d + 0*d**2.\nAnswer: 2*d**3*(d + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46016 is divided by 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10359361.62282 and 19.\nAnswer: 10359380.62282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 31 = 2*u, 0 = 2*d + d - 15. Let o be (2\/u)\/((-2)\/(-40)). Solve 4*l + 4*q - q = 4, 0 = l + o*q + 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 32*n**2 + 125*n - 9. Let r be w(-4). Let d = -10 - -16. Put -0.5, d, r, 2 in ascending order.\nAnswer: -0.5, 2, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 47*n**3 + 6*n - 9. Is w(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 0.5. Let c be 51\/(-9) - (-21 + 16). Let z be ((-1)\/(-1) + 1)\/4. What is the closest to z in 0.2, y, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 83 - 15. What is the remainder when 27 is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/5 - 0*(-1)\/(-4). Suppose -3*s + 0*p = 3*p - 153, -o*s - 2*p + 212 = 0. Let z = 3 + s. Calculate the remainder when z is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**0))**(-25)\/(i**(-1\/5)\/i**(-5))*(i**0\/i)**(-9\/10)*i**6\/(i*i**(-1\/5)*i) assuming i is positive.\nAnswer: i**(3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y + 2. Let r(q) = -3. Let m(z) = -3*c(z) - 2*r(z). Let f(a) = -a**2. Give f(m(l)).\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + 1)*-5.\nAnswer: -35*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61\/3 + -20. Let w be 1 + -2 + 3\/5. Which is the third biggest value? (a) w (b) -0.1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.6 and 0.15697526.\nAnswer: 0.75697526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + 1 - 1)*(3 - 3 - w) + (w - 3 + 3)*(5*w**2 - 2*w**2 - w**2) + (3*w**2 - 4*w**2 + 2*w**2)*(5*w - w - 3*w).\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19074 by -17.\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*x = 5284, -x - 15406 = -2*f - 4829. Suppose -9*v = -8*v - f. Suppose 0 = -4*l + 2*s + 3836, 0 = 4*l + 4*s + 1465 - v. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/(sqrt(48) + sqrt(3)))\/(sqrt(100)\/sqrt(2) - sqrt(50) - sqrt(50)).\nAnswer: -sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43056 + -43055. What is the biggest value in -0.2, -0.4, -11, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7\/2, 6.2, -1 in descending order.\nAnswer: 6.2, 7\/2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-6))**(12\/5) assuming i is positive.\nAnswer: i**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 8*z**2 + 14*z + 20. Give r(10).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29532.\nAnswer: 2, 3, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119 + 57 = -7*h - 15*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 26*b + 1. Let c(w) = 26*w. Determine 3*c(k) - 2*h(k).\nAnswer: 26*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105 divided by -4.\nAnswer: 105\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1282 is divided by 1179.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5.074289 greater than 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*f - 4*t - 102, 12 = -4*t. Calculate the remainder when 167 is divided by 8*4*(f\/24 + -3).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fpfd when four letters picked without replacement from fffffppffdfpfpffp?\nAnswer: 55\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1260.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*c + 0 = -13, -3*c - 21 = 3*q. Suppose 14*p - 11*p = 3. Let h be p\/((-84)\/q)*-8. What is the smallest value in h, 8, 0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1023 - 3?\nAnswer: -1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 573 - 154*p - 284 - 289 as u*p + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8684986 - -27?\nAnswer: -8684959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -2605576 and -0.039603.\nAnswer: -2605576.039603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ppf?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -277, -561, -847, -1135, -1425?\nAnswer: -1717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27827*j**2*s**3 - j**2*s**2 - 2*j - 3*s**3 - 447*s**2 - 54*s wrt j?\nAnswer: -55654*j*s**3 - 2*j*s**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36561*z**2 + 2070*z - 4.\nAnswer: 73122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 26\/6 - 1\/3. Suppose 4*o - 8 = 0, 6*x - 4*o = 8*x - 16. Solve -y = x*m - 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -23\/664, 1\/4, -3.136?\nAnswer: -23\/664","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/6 - (-140)\/6. Let n be a - (15\/3)\/5. Solve -n = -5*h - 4*r, 20 = -0*h + 4*h + 4*r for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 4) to base 5.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 12 = 0, -5*f + 0*f + 2*w = -9322. Let s = f - -12. Suppose 6*d - 8370 + s = 0. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19632434909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 8*x**3 + 3*x**2 - x + 2. List the prime factors of j(3).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -7*(132\/(-7))\/2. What is the greatest common divisor of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**3\/s**24)\/(s**11)**(-2) assuming s is positive.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -13*l**2. Let r(s) = -s + 1. Let b(w) = 3*w - 4. Let p(f) = b(f) + 4*r(f). Determine v(p(z)).\nAnswer: -13*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 306 and 68?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w - 3. Let a(t) = 4*t - 7. Let f(j) = 2*a(j) - 7*l(j). Let m(b) = -2*b**2. Let h be m(1). Let o = h + -2. Calculate f(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1036 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 - 3*h - 1. Suppose 0 = -4*u + n + 11, -4*n + 3 = 2*u - 7. Let b be y(u). Let o = b - 4. Solve o*m + 12 = 5*t + 3*m, 0 = t + 4*m + 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2. Let u(i) be the first derivative of 5265*i**2\/2 + 2*i + 5849. Calculate u(b(o)).\nAnswer: -5265*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bhbhhhbbhhhb?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**3 + 4*k**2 - 2*k + 21. Let c(g) = 5*g**3 - 9*g**2 + 5*g - 41. Let u(f) = 3*c(f) + 7*d(f). Does 12 divide u(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 561582, 1123165, 1684748?\nAnswer: 2246331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3*r**5\/7 - 48*r**4\/7 + 51*r**3\/7 = 0?\nAnswer: -17, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - l - 4*l)*(1 - 2 + 0) - 113 + 37636*l + 37713*l - 75282*l.\nAnswer: 69*l - 113","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14939*f**3*z**5 - f**3*z + 21*z**6 + z**2 - 27778*z wrt z?\nAnswer: -896340*f**3*z**2 + 2520*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -31, 3 in increasing order.\nAnswer: -31, -20, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 0 - (-10 + 7)) + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and 9.459600748.\nAnswer: 5.459600748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 151.7 + 373.3. Which is the second smallest value? (a) -5 (b) p (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 e when two letters picked without replacement from venmmvmjemmejemeenem?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p - 5 + 5 + (-5 - 1 + 4)*(p + 2*p - p).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + -1*30\/3. Let b(m) = m + 11. Let p(x) = -2*x - 23. Let w(d) = 13*b(d) + 6*p(d). Give w(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 24*t**2 + 21*t + 36. Determine j(23).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21487153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-160)\/(-3008)*47*-30.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 3, -51.\nAnswer: -51, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 9) to base 6\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -23 - 6\/7*m + 13\/14*m**2 + 3\/28*m**4 + 2\/3*m**3. Factor f(b).\nAnswer: (b + 2)*(b + 3)*(3*b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-106 - 2*v**2 + 8*v + 106)*(2 - 1 + 0) to l + z*v**2 + n*v and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 (base 14) in base 11?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 41 - 24 + z - 18 + 110*z**2 + (2*z - 4*z - 2*z)*(-z - z + 3*z).\nAnswer: 106*z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.07, -4, 0.2, -6, 1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 3*v + 2. Let p be l(3). Suppose -p*k + 2 + 2 = 0. Suppose k*f = -8, -3*f = -2*g - 9 + 31. What is the nearest to 0.1 in g, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 289819573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 24. Let v be 6\/u*8\/24. Sort 1\/4, v, 1.\nAnswer: v, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 7*o**2 - 10*o - 7. Let y be q(-5). Let a be (y + 2)*(2 - 4). Solve 0*m - 3*m = 2*d - 7, 4*d = 2*m - a for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a centimeter in micrometers?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r + 63911*r**2 + 63749*r**2 + 3 - 127826*r**2 to the form a + p*r**2 + w*r and give p.\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 5*d. Let j be g(5). Suppose j = m - 6*m + 20. What is the remainder when m is divided by 1*(2 - (1 - 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/4)\/((-4)\/24). Suppose 0 = -5*k + 10*k - d. What is the smallest common multiple of k and (-8)\/(-2) - (-1)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -3, -15, -5 in descending order.\nAnswer: 0, -1, -3, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of m**6\/10 - m**5\/60 - m**4\/12 - m**3\/6 + 3*m**2\/2 - 9*m. Let h(g) be the first derivative of n(g). Determine h(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 477223792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 34706953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -3*c + 16, t - c = 4*c + 20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 401*p + 600 = 404*p. Let l = p + -198. Solve -12 = -3*q, l*q - 7 = -3*u - 2*q for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 193*c**2 + 194*c**2 - 590*c**2 - 3*c - c**3 + 5*c + 2 + 199*c**2 in the form j*c + t*c**2 + u + i*c**3 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (4*(5 + 2 + sqrt(304)) + -2)**2)*-3*-6.\nAnswer: 14976*sqrt(19) + 99702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1096)\/(-22) - (-22)\/121. Suppose -k - 88 = -3*a, 2*a + 0*k = 5*k + q. Calculate the greatest common divisor of 30 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.9 - 1. Let z = -4 - -4. Let d = y + z. Which is the closest to d? (a) 5 (b) -1\/4 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -z**5\/30 + 2*z**3\/3 + 4*z. Let w(p) be the second derivative of f(p). Let l be w(-2). Are l and 6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/168 and -31\/54432.\nAnswer: 54432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -1, 1109, 2 in decreasing order.\nAnswer: 1109, 2, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-3 - (-7 + 8)) + -8 + 2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pe when two letters picked without replacement from {h: 1, e: 3, p: 1, t: 2, y: 1}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 3*q + 2. Let k be n(3). Let t(p) = 21*p**2 - 3*p. Let o be t(k). Let s = o + -700\/9. Which is the nearest to -0.1? (a) 3 (b) -1\/4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502 is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 5*s + 9*s = 6, -504*c = -507*c + 5*s - 35 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.08 - -0.06. What is o rounded to 1 decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31002509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 - -11)\/(2\/1). Suppose 3*x + 20 = -n*x, -c + 27 = -4*x. Suppose -2*j - 7 = 3*k, 10 = -j - 2*k + 4. What is the smallest common multiple of j and c?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3261960 and 1845.\nAnswer: 3261960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3*-0.01115\nAnswer: -0.03345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 790 - 765. Which is the closest to -3? (a) f (b) 4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*r - 18 = 0, 3*h - 5*r - 13 = 14. What is the remainder when 71 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 2*r + 275. Let l be c(0). Let b = l + -193. What are the prime factors of b?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*2*(1*sqrt(5))**2.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 0) + -3 + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 3) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 1568 = -3*a + 6*a, 3*f - 4*a = 935. Suppose 3*r = -2*k - f, 3*k - 5*r + 0*r = -460. Let g = -55 - k. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3 - 3 + 1 + 0. Let f(z) = -2*z**3 - 6*z**2 - 3*z + 7. Let n(w) = f(w) - 3*u(w). Does 24 divide n(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*b + 17*b - 114 = -37*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (20\/1)\/(9 + -7). Let v(m) = 6*m - m - 10 + i. Determine v(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - 18 - (0 + 0 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 11:59 AM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 12:30 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*p = 27*p + 2*j - 69, -5*p = -2*j - 67. Let c be (-11)\/(-3) + 2\/6. Solve 0 = -2*o - 3*s - p, -c*o + 2 = -5*s + 3 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ceecceccccceeeeccee. What is prob of picking 2 e and 2 c?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -248275.414 and 1633?\nAnswer: 249908.414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-24) - 106\/(-8). Suppose l = -0*i + i. Let j(m) = -14*m - 35. Calculate the remainder when j(-6) is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.04 (b) -3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -9*x**5 + 786*x**4 + 576*x**3 - 4266*x**2 + 3705*x - 792 = 0.\nAnswer: -3, 1\/3, 1, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6380 is divided by 247.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (56 - 247 - 67)*(0*q + q + q + (4 + 19 - 6)*(-3*q + 5*q - 3*q)) as y + z*q and give z.\nAnswer: 3870","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**3 - 5*y**2 + 6*y = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xixi when four letters picked without replacement from ixnniiiuniinix?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19277387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -10. Suppose 0 = -4*u - 4*h + 72, 0 = 2*u + 5*h - 5 - 40. Calculate the smallest common multiple of u and ((-4)\/(-12))\/(m\/3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 2*d - 26. Let w = -73 - -81. Let g = d - w. Solve -4*v = 3 + 5, 3*c + g*v = 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -603606627 by -1.\nAnswer: 603606627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -h, m + 3*h = -4*m - 18. What is the nearest to -1\/4 in 0, m, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-2)\/10 - 336\/(-30) and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5295 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 8*l**2 - 3*l + 42. Give g(5).\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 200\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-3))\/6*(-3)\/6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67506.\nAnswer: 2, 3, 11251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -588a + 8?\nAnswer: -5882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - -33. Factor 10*g**4 - 7*g**4 + 553*g + 3*g**5 + n*g**3 - 42*g**4 - 25*g + 192 + 435*g**2.\nAnswer: 3*(g - 8)**2*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41081, 164333, 369753, 657341, 1027097, 1479021?\nAnswer: 2013113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16065 (base 10) in base 14?\nAnswer: -5bd7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8662.\nAnswer: 2, 61, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -57*p**2 - 2*p. Let g be q(-1). Let l = 70 + g. Suppose -3*n = 2*n - 45. Calculate the least common multiple of l and n.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155370379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1400 - 1395. Solve -k*l = -12*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3752928 divided by 9?\nAnswer: 416992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 8 = 9*r. Suppose 3*t + 6 = 21, r*t - 26 = 4*h. Let u be h\/14 - (-14004)\/14. What is u rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/(-117) + (-386)\/(-26). Suppose 5*l - 7*r + 10 = -2*r, -3*r = -g. Solve -6 = b - 4*p, l*b - p - 4 = -0*p for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 5*f + 4*f)*(3 - 23 - 1)*(74*f - 30*f - 2*f + (-3*f + 3*f - 2*f)*(-6 + 4 + 3) + (-3 + 3 - 3)*(-f - 2*f + f)).\nAnswer: 966*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -1016*t**3 - 7*t**2 + t + 23. Is b(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318260 is divided by 2210?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {j: 1, r: 4, i: 1, w: 2, n: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43965*f**4 - 952593*f**3 + 601245*f**2 + 307509*f - 126 = 0.\nAnswer: -1\/3, 2\/4885, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 + -19. Suppose 0 = -b*s - 25 + 46. Solve -i + 5*n = -0*i + 10, -30 = -s*i - 5*n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 314.6 - 317. Sort q, 0.3, -2.\nAnswer: q, -2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w. Let y be m(2). Let v(t) = 0*t - 108 - 2*t - 7*t + 6*t. Let i be v(-37). Solve -5 = 5*q, y*j = i*j + q - 4 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = j + 30, 4*j - 2*j + 4*f + 50 = 0. Let q = j - -42. Calculate the greatest common divisor of 10 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*v**4 + 32*v**4 - 4 - 12*v**4 + (2 + v**3 - 2)*(3*v - 17 + 17) in the form o*v**4 + i*v + d*v**2 + f*v**3 + z and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -17*p**2 + p - 2. Let w be m(2). What is the tens digit of (w\/(-6))\/(2\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 12cb9?\nAnswer: -12cba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -314, -769, -1424, -2279, -3334?\nAnswer: -4589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 731.1029809 to one decimal place.\nAnswer: 731.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7b6 + 3?\nAnswer: 7b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*t**4 + 0*t**4 + 5*t**4 + (-1844 - 39*t**3 + 1844)*(-4 + 4 + 3*t) as h*t**3 + j*t + x*t**2 + d + s*t**4 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*n + 935 = 0, 928 = h + 3*h + 4*n. Suppose 4*m = 5*m - h. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 9*c**2 - 12*c + 180. Calculate the remainder when 183 is divided by m(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1155764?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -960 = -15*f + 7*f. Let l = f - 100. Solve 6*p - m + l = p, 0 = 5*p - 3*m + 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**3\/2 - 7791*c**2\/2 - 15178815*c\/2 - 15171025\/2 = 0. What is c?\nAnswer: -3895, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - (-2 + -2360))*(-2)\/4. Is (s\/4)\/(70\/(-560)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d + 8. Let w(l) = -1. Suppose -13*p - 1 = -14*p. Let v(f) = p*i(f) + 8*w(f). Let m(t) = 10*t. Determine m(v(a)).\nAnswer: -20*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 91399 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2222315 (base 6) to base 12\nAnswer: -5499b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeyyyyyyyyy. Give prob of picking 2 e and 1 y.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.38941 milliseconds in nanoseconds?\nAnswer: 1389410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 k when two letters picked without replacement from eeellekjellzezl.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 110\/8 - (-12)\/(-16). Calculate the highest common divisor of j and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3 = 3, -5*n - 2*h = -3744. Suppose -3*v = -5*o - 0*o - n, 736 = 3*v + o. Let b = v - 175. Is b a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 + 1560*u - 3140.\nAnswer: 5*(u - 2)*(u + 314)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -b + 4, 2*b + 41 - 16 = 5*d. Suppose -n - 9 = -5*g, -5*n + 5*g - d = 2. Is (-3 + 6 + 216)\/n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 (base 9) in base 7?\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10997806, -10997816, -10997854, -10997932, -10998062, -10998256, -10998526?\nAnswer: -10998884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 35 = 0, 200*u = -2*y + 197*u + 318649. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*c - 2*i = 130*c + 193, -c = 4*i - 9 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057)*2 + 5 - (sqrt(68)\/sqrt(4) + 0)*3)**2.\nAnswer: 190*sqrt(17) + 6162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(2\/3))**(3\/16))**0 assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t - 300. Determine g(-75).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 627392 and 7920824?\nAnswer: 63366592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/6*1 + 16\/6. Calculate the remainder when 13 is divided by (c\/(-4))\/((-42)\/224).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -5\/6, 2.8, 3, -2\/3, -0.15?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 119977427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-10)*60\/48?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 148, -186, 4, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -36345815 and 0.307.\nAnswer: -36345814.693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1818 by -202.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**5 + 1072*i**4 - 9786*i**3 + 13240*i**2 + 86816*i - 209280 = 0 for i.\nAnswer: -545, -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1605.644mg to grams.\nAnswer: 1.605644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -98676 (b) -26 (c) -1 (d) -18 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 417*n - 368*n = -49 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -4*o - 3. Suppose 117*t + 28 = 124*t. What is the remainder when n(-4) is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.9 + -3. Let w = -1154 + 1156. Which is the closest to -0.1? (a) t (b) 9 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13382 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 54436 and -1.7.\nAnswer: -92541.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 10:50 AM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/5*39000\/(-13650).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 24\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 24941*z**2 - 3*z + 324015?\nAnswer: 49882*z - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 968668 is divided by 13090.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10391 + -24?\nAnswer: -10405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.706462ng to kilograms.\nAnswer: 0.000000000004706462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21.997 + 0.003. Let c = -11 - -7. Let w = -6450\/7 - -25807\/28. What is the nearest to -0.1 in l, c, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 24, -3\/7, 0.5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**5\/60 - c**4\/6 + c**3\/3 - 3*c**2. Let w be b(3). Let p be (1*10)\/(w\/80). Round p to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) - sqrt(65)*-1 - sqrt(65))*5*4)\/((sqrt(80)*-2 - sqrt(80))*-4)*4.\nAnswer: 5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2*d - 130 = 0, 3*p - 4*p + d + 19 = 0. Solve -4*u - p = -5*m, -2*u - 5*m + m = -14 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 2:04 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 - 18 = -3*i - 0. Let h = 22 - 16. Let s = -1 + h. Solve -3*f = s*a + 3, 3*f - 2*a + 2 = i for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111226 is divided by 78?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31122 - 100?\nAnswer: 31022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*s**4 + 134*s**3 - 134*s**3 - 200*s**4 + (2*s**2 + 1 - 1)*(s - s + s**2) - s**2 + s**4 + s**2.\nAnswer: -199*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -30*a**2 - 3*a - 8. Let y(h) = -16*h**2 - h - 4. Give -2*m(z) + 5*y(z).\nAnswer: -20*z**2 + z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -252.74075 * 1\nAnswer: -252.74075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.029975 + 0.03. Round i to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 152561*f. Let t(m) = -44*m**2. Calculate q(t(i)).\nAnswer: -6712684*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 - 36 = 5*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 5*n - 3*n - 257, -n + 130 = -2*i. Suppose -13*w + n = -357. What are the prime factors of w?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**3 + 3*h**3 - h**4)*(-2672 + 4*h - 5*h + 2282).\nAnswer: h**5 + 390*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 36*b**2 + 251*b + 54. Calculate the remainder when 201 is divided by w(42).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78484*v + 2*v**2 - 39237*v - 1 - 39238*v + 1.\nAnswer: 2*v**2 + 9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, 1\/252, 10207, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 1. Is (-1)\/((w - -4)\/1164) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 789 - 560. Let n = o - -185. Does 23 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 9) to base 10\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116924072, 116924070, 116924068, 116924066, 116924064, 116924062?\nAnswer: 116924060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-60))\/(-2*(-5)\/(-25))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30830, 123211, 277186, 492761, 769942?\nAnswer: 1108735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -28009 - -5?\nAnswer: -28004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 14046524670 rounded to the nearest one million?\nAnswer: 14047000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -3) + -5 - (2 - -10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -13. Let l be (1\/d)\/((-3)\/(-7893)). Let i = -375 - l. What is the third smallest value in 0.2, i, -2\/9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1439 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-4)*(-161524)\/(-462546).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10a86 (base 12) to base 11.\nAnswer: -15813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*u**3 + 0 + 24*u**2 + 56*u - 1\/4*u**4.\nAnswer: -u*(u - 14)*(u + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q - 5. Let n be u(7). Let i(w) = w**3 - w**2 + w - 1. Let t be i(n). Suppose t*m = 237 - 2. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3525 divided by 133\nAnswer: -3525\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 748086*z**2 + 532016*z**2 + 208185*z**2 - 227054*z**2.\nAnswer: 1261233*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*m**2 - 207126*m**6 + 3*m**2 + 8 + 204231*m**6 wrt m?\nAnswer: -347400*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, p: 10, u: 4, v: 4}. Give prob of picking 3 u.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2539 + 26*w + 83*w + 2538 as u*w + y and give u.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -158080 divided by -93\nAnswer: 158080\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 7:09 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 718 + -700 + -2 + (-1 - 0)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -84323563, -84323564, -84323565?\n\"Answer: -k - 84323562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3+-5295615638147\nAnswer: -5295615638150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 334, -23, -3, -16, 2 in decreasing order.\nAnswer: 334, 2, -3, -16, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6334 + -6319. Solve -2*g - g + 5*s = -19, 5*g = 5*s + w for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/32*(64\/56)\/((-30)\/35)*-14?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -4\/59 (b) 10 (c) -1 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12990283 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -17, -5, 151?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.831 + 1035.431. Round y to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 1:23 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -545 - -12865. Is 77 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 9:38 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mfmhmhmhfhfh. What is prob of sequence ff?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 364 = 14*g. Let h be (-116)\/g - (-1)\/(1\/(-2)). Let q be ((-3)\/(-12))\/(3\/12). Which is smaller: h or q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64 + 88. Suppose 4*j = 40 - w. Solve -3*i + j*b + 11 = 0, -2*i + 3 = b + 14 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -159757500 rounded to the nearest 1000000?\nAnswer: -160000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192897.\nAnswer: 3, 21433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1092764470 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(931))**2*5 - sqrt(931) - sqrt(931) - (0 + (sqrt(931) + 2)**2 + sqrt(931)).\nAnswer: -259*sqrt(19) + 3765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c - 21 + 15 - 11 + 0 to the form o + r*c and give o.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -152.01 (b) -4\/5 (c) 25 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94, -171, -238, -289, -318, -319, -286?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 4*k**2 - 5*k - 15. Let n be 0 - (1 - 2 - -5). Let o be a(n). Suppose o*f = -3*l - l - 35, 2*f - 9 = 3*l. Let p(t) = -t. Determine p(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 56. Let b = -49 + k. Let p(q) = 11*q**2 - 28*q. Let u(o) = -5*o**2 + 14*o. Let h(w) = b*p(w) + 9*u(w). What is the second derivative of h(c) wrt c?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p + 42. Let y be x(-36). Let j(i) be the third derivative of 0 + 1\/12*i**5 + 4*i**2 + 5\/24*i**4 + 0*i - 1\/120*i**6 - 1\/3*i**3. Calculate j(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-15) + 76\/(-10). Let p(t) = t + 6. Let y be p(c). Let b be 2 + 2 + 1 + y. Is 2 >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 39*w**3 - 4*w**2 + 7*w. Let p(m) = -38*m**3 + 3*m**2 - 6*m. Give 6*l(o) + 7*p(o).\nAnswer: -32*o**3 - 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53.8 + -54. Let a = 31 - 31. Sort s, -3\/4, a in increasing order.\nAnswer: -3\/4, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197*n = -180*n + 748. Suppose x + x - 120 = 0. Let p = x - n. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**2 + 95224*c + 1133451272 = 0. Calculate c.\nAnswer: -23806","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jggg. What is prob of picking 3 g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/80)\/(21\/(-12))*-18*(-105)\/90.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 46, -7, 15?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and -13254.\nAnswer: -13253.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*y - 2655884 = 9*y. Suppose 0 = 5*u - 2*j - y, 4 - 16 = 4*j. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 730*u - 292463 + 284433 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3292017742 a multiple of 3926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 99, 198, 297, 396?\n\"Answer: 99*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -1. Let t(o) = -o + 6. Calculate 5*f(p) + t(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5 + h**2 + 13 + 8 - 9*h. Calculate the least common multiple of f(7) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 6:12 PM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5\/2 - 2. Let c(p) be the first derivative of -2 + 0*p - 1\/5*p**5 + 0*p**4 - r*p**2 + 0*p**3. What is the second derivative of c(i) wrt i?\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/2041 and -53\/226708.\nAnswer: 2947204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 10:56 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 21*s + 1. Is l(3) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 38 = -4*h, -5*w + 15 - 16 = -31 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 211.0411912 + -6.0411781. Let z = 70 - -135. Let s = z - o. What is s rounded to six decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4206 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33656098*q**3*v**3 + 17*q**2*v**3 - 2*q**2*v**2 + q*v**3 + 4*q*v - 685*v**2 wrt q.\nAnswer: 201936588*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -71*x + 9. Let l(a) = 47*a - 6. Give 8*l(n) + 5*s(n).\nAnswer: 21*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 4) + (2 - 0) + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -9. Let p = 10 - d. Suppose p = o - 6. Solve 4*b + 5*h = 35, -o - 5 = -3*b + h for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2.25 and 5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 + 320*w**2 + 6384*w.\nAnswer: 4*w*(w + 38)*(w + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13344 + (4\/24*6 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 11794.21047ns?\nAnswer: 0.000000000019501009375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28.8 - -29. What is the smallest value in u, 0.7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-2) - -2)*(-1)\/(-1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**40*h**(-33))\/((h**(-5\/6)*h)\/h*h*h*(h*h\/(h*h*h**(-31\/3)\/h*h*h))\/h) assuming h is positive.\nAnswer: h**(-163\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 339*j - 459. Determine f(1).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2*u + d, -35*d + 31*d = 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -12*((-9)\/(-3))\/(-3). Let i be -1*2 + w - 0. Let q be (16\/i - 2)*-35. Solve 2*f = 4 - q for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -232*f**2 + 106*f?\nAnswer: -464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 8*a**2 + 10*a + 4. Let t be w(9). Let s be t - (-3 + 3)\/(-2). Suppose 5*c + 2*i = s, -4*c + 6*c - 14 = -3*i. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, d: 2}. Give prob of picking 2 d and 2 e.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 136460764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 34 + 49 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 999080 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 1. Let h = w + -9. Suppose 0 = -h*o + 5*o - 20. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 4, 3\/8, -4, -0.9 in ascending order.\nAnswer: -4, -0.9, 3\/8, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 1.4 (c) 13\/287\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 6*h**2 - 2*h - 7. Suppose 327 = -6*k + 3*k. Let s = k + 114. Let o be z(s). Which is bigger: 7 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 25*k - 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 424\/(-636)*21\/25*(-10)\/8?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4ab3 - -2?\nAnswer: 4ab5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 15 = -5*o - 2*m, 0 = 5*o - 3*m + 5. Let n(q) = q**2 + 5*q - 1. Let f be n(-6). Let t be 6\/5*f\/2. Solve -g = o*g - t for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and -0.011291.\nAnswer: -2.011291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -8*q**2 - 2 + 2*q**2 + 2. Let s(z) = -2*z**2. Calculate h(s(f)).\nAnswer: -24*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggeeglgeelegeee. Give prob of sequence eg.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1031 (base 11) in base 13?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000774 rounded to 7 decimal places?\nAnswer: 0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 24, 9, -16, -51?\n\"Answer: -5*m**2 + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.554 - -3.393. Let l = i - 4. What is l rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2103 + 2131. Put r, 1, 5 in increasing order.\nAnswer: 1, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205677792 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 12*u**2 + 9*u. Suppose 3*y - 13*d + 10*d = 21, 4*y - 60 = -4*d. What is the tens digit of q(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -78, -76, -74?\n\"Answer: 2*z - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 36 + 4. Let u be 9\/2 - 15\/w. Find the second derivative of 2*y + u*y + 5*y**3 - y wrt y.\nAnswer: 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -p + 4, -5*p - c + 1 + 8 = 0. Suppose 4*a + p*b - 62 = 0, b = 4*a - b - 74. What is the first derivative of 26 + 32 - 56 - a*j wrt j?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4*g**2 + 45*g - 1. What is i(10)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40871124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-84*d**4 + 4769 - 4769)*(d + 3 - 6*d + 7*d).\nAnswer: -168*d**5 - 252*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 5*t - 12 + 33 = -39, 0 = -9*d - 3*d + 5*t - 120 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(1\/2))\/(k**6*k)*((k**(5\/3)*k)\/k)\/k*k**3\/k*(k*k\/k**(2\/5)*k)**(9\/4)\/(k**(-5)*(k\/(k*(k*k\/((k**7*k)\/k))\/k)*k)\/k) assuming k is positive.\nAnswer: k**(121\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2549630682.\nAnswer: 2, 3, 443, 35527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 4*v + 1. Let a be w(-5). Let c = a - -5. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -198 + 632. Suppose 431*l = v*l - 48. Which is bigger: l or 81\/5?\nAnswer: 81\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -1 - (5 + -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72 + -36. What is the greatest common factor of 9 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 571\/26 + -49939\/2210. Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/9)*h**(1\/7) assuming h is positive.\nAnswer: h**(-5\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-3)\/((-9)\/46) + 30\/45 and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2102120 (base 3) to base 9.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + -6 + (17 - (35 + -7)) - 18?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 284968.5075 and -4?\nAnswer: 284972.5075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 4*f = -g - 184, 0 = -g - 2*f + 41. Does 22 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2621227 times -0.4\nAnswer: -1048490.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52516207 is divided by 357253?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) -1.494291 (c) 3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -i**3\/3 - 3*i**2 + 2*i - 417. What is g(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4, 50, 122, 214, 320, 434, 550, 662?\n\"Answer: -c**3 + 19*c**2 - 4*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 153516332*b*u**4 + 3804*b*u + 17*b + 127*u wrt u.\nAnswer: 1842195984*b*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 134891578 and 334?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**2\/5 + 4*r = 0.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 822377120.\nAnswer: 2, 5, 73, 181, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46 and 138?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 - 24. Suppose 0 = 4*l - l - 9, 4*z - 5*l = y. Suppose 0 = -7*u + z*u - 278. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 507*a - 1418 = 8215 for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 56 times -0.41\nAnswer: -22.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1\/5 (b) -1755 (c) 3\/4 (d) 3 (e) -0.61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a week in seconds?\nAnswer: 16128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61538 and 1682.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 117 - 49. Let t be (-1 - -2) + d + 2 + -3. Suppose 0 = -7*j + 131 - t. Solve -j = -3*n + 3 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**(-4)))\/s)**(37\/2) assuming s is positive.\nAnswer: s**(-185\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.38 - -3.68. Let w = 264\/2533 - -2\/149. Which is the closest to q? (a) 1\/8 (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4732 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -10, 0.019, 2\/17, -2, 4?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y**3 - 40*y**2 - y + 6. Let q(u) = u**3 + u**2 - 2. Calculate 3*q(p) + v(p).\nAnswer: -p**3 - 37*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/1 + 0 + (-42900)\/3120?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -193a06 (base 11) in base 10?\nAnswer: -298029","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -9*a**3 + 15*a**2 - 11*a + 15. Let t(y) = -4*y**3 + 7*y**2 - 5*y + 7. What is 13*t(g) - 6*u(g)?\nAnswer: 2*g**3 + g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(33) - (sqrt(3300) - 2*sqrt(3300))))\/(-3*-1*sqrt(300)) + 1)**2.\nAnswer: 44*sqrt(11)\/15 + 5549\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16.351 - 5.319. Let m = 0.33 - q. Let a = -21.99999955 + m. Round a to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6121 + -6120.73058. Let n = d - 0.27. What is n rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(275) - (1*sqrt(1584) - sqrt(11)))**2 - ((sqrt(1331) - (sqrt(1331) + 3)*-3) + -4).\nAnswer: 16*sqrt(11) + 416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 616 and 704?\nAnswer: 4928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11942 = 1066*m + 7246 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/(-24)*-4*111\/1295.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 86.873 + 0.127. Let t = 35 - s. Let f = 52 + t. Which is smaller: 19 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -751*r**7\/42 - 1898*r**3 - 9965*r**2. Differentiate x(n) with respect to n.\nAnswer: -15020*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38503 - 34220. What is the remainder when k is divided by 102?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(425) + sqrt(425) + 0 + -1)**2*-1 + -2*(sqrt(425) + 0)*-2.\nAnswer: -1697 + 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -41*q**2 + 2*q + 8. Let z(u) = -u**2 + 2*u + 2. Determine -t(o) + 2*z(o).\nAnswer: 39*o**2 + 2*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -401.02 + 401. Which is the nearest to u? (a) 5 (b) 9 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/170 and 95\/8?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 36*y = -31*y + 12, k - 3*y = -6 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 15*j - 49. Let n be w(6). Let d = -2 - 1. Find the common denominator of 26\/5 and (n*d\/18)\/((-4)\/57).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 8 = -2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 9:59 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 616.\nAnswer: 1\/308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 209226204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n + 418256. Let j(o) = o**2. Calculate b(j(h)).\nAnswer: -3*h**2 + 418256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 519, 596, 703, 840, 1007, 1204?\n\"Answer: 15*t**2 + 32*t + 472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 10. Let v = -8 - -12. Suppose -v*t + 2 = -5*t. Which is smaller: t or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1 + 4 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 55 = -2*u, -3*n = -2*u - u - 33. Suppose n*k - 225 = 6*k + 5*r, 3*r = -3*k + 123. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 6 = -2*v, -3*v + o + 3 + 6 = 0. Suppose 4 = 2*p - p - 3*x, v*x + 3 = 0. Let u be -2 + 1 + (6 - p). Solve 0*f + u*f = 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and -1148.114.\nAnswer: -6888.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 759468, 2\/17, 0.8 in decreasing order.\nAnswer: 759468, 0.8, 3\/4, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-7)*o*o\/((o*o\/(o\/(o*(o**(-5)\/o)\/o)*o)*o)\/o)*o*o*o**5\/(o\/(o**14*o)) assuming o is positive.\nAnswer: o**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -46038, -92077, -138116, -184155, -230194, -276233?\n\"Answer: -46039*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/((-36354)\/(-4482)*3*8\/(-8)).\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -14*y + 14. Let f(c) be the first derivative of -c**2\/2 + c + 4. Let o(s) = s + 7. Let v be o(-8). Determine v*k(z) + 12*f(z).\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**3 - 603 + 298 + 305 + 2*f**3.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-42)\/(-63))\/((-1)\/(-6)). Suppose -471 + 39 = -u*c. Let x = c + -15. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 6*i + 2*i)*(-3 + 2 - 1).\nAnswer: -20*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 52963.31 millennia?\nAnswer: 52963310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 565.\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 1414*j**5\/3 + 15556*j**4\/3 + 25474*j**3\/3 + 12*j**2 = 0.\nAnswer: -9, -2, -1\/707, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 675072209?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 240\/64 - (2\/(-8))\/1. Suppose -j*x - h + 6 = h, 0 = -2*x - 3*h - 3. Let o = -3.5 - -3.5. What is the fourth biggest value in x, -1, 1\/3, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 131\/2 - 366\/5. Calculate the common denominator of d and 1 - 1\/((-6)\/11).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = u + 7, 6*m - 5*m - 16 = -2*u. Suppose 3*t - 3*n - 1563 = 0, 7*n - 1567 = -3*t + m*n. What is the highest common factor of t and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, s: 3, q: 1, t: 4, b: 2, o: 4}. Give prob of sequence sbq.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -297896.\nAnswer: -1191584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3711789414.\nAnswer: 2, 3, 67, 709, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 522013217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.805995 centimeters to millimeters.\nAnswer: 8.05995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + 12 + (6\/(-9))\/(2\/(-6)). What is the fourth smallest value in 1, -3, x, -27?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-8))\/(2 - (-19)\/(-8))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -5*x**2 + 9102*x + 45570. Determine t(-5).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 11. Let v be b\/2*(15 + -1). Suppose 0 = 4*a - 0*a - v. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/6 of a millennium in months?\nAnswer: 86000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-10))\/((-40)\/1000)*1\/((-40)\/(-12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 930 and -153.\nAnswer: -142290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44117?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3517149803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -612*x - 435*x + 1290*x. Let q(z) = 10*z**2. Give q(y(j)).\nAnswer: 590490*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 6*c - 2*c)*(5 + 4 - 1).\nAnswer: 40*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15392 - 12908. Is 54 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {w: 10, p: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1077776 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: (-5 - -8) + -5 - -4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26*(-15)\/(-8320))\/(1\/(-4)).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -14.56. Let l = q - 46.04. Round l to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 17*u + 3. Determine c(-17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 1:06 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 + 33*q + 27. What is t(14)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 + 37. Let r = -106 - -160. What is the greatest common factor of r and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from bvbvbsbbsbbdsdv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*c, -2*r - 3*r = -5*c - 10. Suppose -3\/4*a**c + 1\/4*a - 1\/4*a**4 + 0 + 1\/2*a**5 + 1\/4*a**2 = 0. Calculate a.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 * 959\nAnswer: 57.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 16*f = -14. Which is greater: f or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.31 + -0.09. Let d = 2150881289\/23832 + -812263\/9. Let o = -1\/331 - d. Which is the biggest value? (a) q (b) -5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/15*(-45)\/35?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - -43 - 48 - (2 - -51 - -2).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -211903?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*b - 40*b + 72 = 24*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 4*r - 20 = 2*w, 2*w + 11 = -3*r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 376*w**5 - 80*w**5 + 358*w**5 + (2*w - w + 3*w)*(-4*w**4 + 3*w**4 + 0*w**4).\nAnswer: 650*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3869.7 and 3223479.\nAnswer: 3219609.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.9 - 15.9. Let f(v) = -8*v + 77. Let b be f(7). Put -0.3, b, t, 0.2 in increasing order.\nAnswer: t, -0.3, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 8*i**3 + 2*i**2 - 1. Let l(p) = -16*p**3 - 5*p**2 + 2. Give -2*l(q) - 5*y(q).\nAnswer: -8*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 37*m - 3. Let n be 20\/8 - (-3)\/(-2). List the prime factors of p(n).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 8*v**2 + 6*v + 5. Let a be p(7). What is the highest common divisor of 32 and a?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -116*p**3 + 480\/7 + 552\/7*p**2 + 272*p = 0?\nAnswer: -30\/29, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246582171 a multiple of 1181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + -6*((sqrt(108) + 2 - sqrt(108)) + -3))*1.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16983*q - 4833 = 17162*q for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, s: 2, j: 10}. Give prob of sequence jj.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 678379, 1355991, 2033603, 2711215, 3388827?\n\"Answer: 677612*a + 767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1912987326 to the nearest integer?\nAnswer: 1241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2381 + -2374. What is the remainder when 1399 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -11*o**2 - 3*o. Let s(h) = -12*h**2 + 2*h + 4. Let x(w) = 12*w**2 - 3*w - 5. Let b(k) = 5*s(k) + 4*x(k). Calculate -3*b(i) + 2*l(i).\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 7:56 PM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0050002 to 4 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/63 + 74\/(-14). Let r = 157 - 1415\/9. Which is the second biggest value? (a) 3 (b) t (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83.1325 rounded to one decimal place?\nAnswer: -83.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1013 + 2110135?\nAnswer: 2111151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53586184 and 586?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4b (base 15) to base 7\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 754431 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18 + (0 + -2)\/1. Suppose d + 3*d - 20 = 0. Let j be (4\/d)\/(o\/120). What is the greatest common divisor of 15 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -166260 divided by -1956?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -167223 - 1618.07?\nAnswer: -168841.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2122*t**3 - 2113*t**3 - t + t.\nAnswer: 9*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**3 + z**3 - 3*z**3)*(2 - 2 - 1)*(-17*z - 39 + 74 - 50).\nAnswer: -51*z**4 - 45*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r + 11. Suppose 0*k = -i + 3*k - 6, -4*k = 4*i - 8. Let d be 13 + (-3 + i - 0). Is h(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 46 + 30 = -2*h, 26 = 2*i - 4*h. Is i a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(4\/9)*m)\/(m**(-1)\/m*m)*(m\/(m\/(m*m\/(m*m**(-3\/4)))))\/m*m**(-19) assuming m is positive.\nAnswer: m**(-569\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of q**4\/12 + 5*q**3\/6 + 3*q**2 - 5*q. Let i be p(-4). Find the second derivative of -6*n**2 + n**2 + n**i + 2*n + n**2 wrt n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 120 from -4311.45426.\nAnswer: -4431.45426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1062 = 21*x + 453. What is the remainder when 1651 is divided by x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-170)\/14 - (4 + 0)\/(-28). Let k be (c\/12)\/(1\/(-3)). Factor 0*z + 3*z**2 + 0 + 3\/2*z**k.\nAnswer: 3*z**2*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, k: 1, x: 1, l: 6}. Give prob of sequence lll.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 3*x - 2. Let v be a(-4). Suppose -v*i + i - 13 = -4*d, i + 4*d + 37 = 0. Let y = 25 + i. Solve t + y = -2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -327*y**3 - 17*y**3 + 4*y + 347*y**3 - y**3.\nAnswer: 2*y**3 + 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 k when three letters picked without replacement from {t: 2, h: 1, z: 1, c: 3, k: 3, d: 8}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -25 + (-38 - -21) - -19\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -5 (b) -3 (c) -1 (d) 65 (e) -6\/101\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.29 + -0.09. Which is the smallest value? (a) 3 (b) -0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*f = -4*f. Suppose -3*s + 94 - 31 = 0. Suppose f*a - 3*a = -s. Is a a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -7*d. Let a(v) = -3*v. Let y(l) = -5*a(l) + 2*c(l). Let g(n) = 10*n**2 + 3*n + 3. Let h(m) = -m**2 - m - 1. Let r(f) = -g(f) - 3*h(f). Give r(y(z)).\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -29*d*t**3 - 21*d*t - 50*t**3 + 4*t wrt d.\nAnswer: -29*t**3 - 21*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6869356 = 5*j + 819356. What is j rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 20 = -64. Let s be n\/63 + 16\/(-36). Solve -3*q + 7 - 1 = s for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5.295783ng?\nAnswer: 0.000000000005295783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2717 - -4481. Suppose 12*i = 15264 - m. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 20*a - 16. Suppose 121 - 45 = 4*h. Let i be x(h). Let w(b) = b**3 - 3*b**2 - b + 1. Give w(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (52\/858)\/((-2)\/3)*-6?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((3\/(-18))\/((-5)\/(-15))). Put 25, y, 1 in descending order.\nAnswer: 25, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**5 + 3*w**3 - 3*w**3 + 0*w**5 + 0*w**5 - w**5 + (0 + 0 + 2*w**3)*(-3 - 2*w**2 + 3) + 2*w**5 - 2*w**5 + w**5.\nAnswer: -2*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 688985 divided by -5?\nAnswer: -137797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1001516 is divided by 8562.\nAnswer: 8324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29698779919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-43508)\/511 + 86)\/(2\/56).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vf when two letters picked without replacement from {f: 2, b: 11, v: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 84\/(-12)*(-4)\/8*2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**2 + 250300*t - 15662522500 = 0?\nAnswer: 125150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 65 + 71.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 335 (base 8) in base 3?\nAnswer: 22012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 12) to base 10\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1 + sqrt(325) + sqrt(325) - 3*(sqrt(325) - (sqrt(325) + 0)))**2 + -4 + -2*sqrt(325) + 2.\nAnswer: -70*sqrt(13) + 1307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n - 43*n - 10565972 = -30083634. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 3) + 1 + -12 + (-16 - -23)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -517671 + 20?\nAnswer: -517651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4253 + -7747?\nAnswer: -13111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 3*a = -6. What is the first derivative of -7 + 5*l**a - 6 + 14 wrt l?\nAnswer: 10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 8:23 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/7*42\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 345518064 to the nearest integer?\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 7*p**2 - p + 6. Let x(t) = t**2 - t. Let q(f) = c(f) - 6*x(f). Determine q(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/15)*g)\/g**(-1)*((g*g\/(g**0\/g))\/g)**(-2\/33) assuming g is positive.\nAnswer: g**(332\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 637, 3532, 8681, 16078, 25717, 37592, 51697, 68026?\n\"Answer: -q**3 + 1133*q**2 - 497*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 6*f**2 - 5*f - 1. Let d be b(-5). Suppose 3*r - 1991 + 2006 = 0. Let v be r\/d - (-3 + (6 - 0)). Sort v, 4, 1 in increasing order.\nAnswer: 1, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**3)\/(x**(6\/13)\/x))**(-6\/23) assuming x is positive.\nAnswer: x**(114\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -194350 (base 10) in base 2?\nAnswer: -101111011100101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -558\/13*s**3 - 168\/13*s + 162\/13*s**4 + 16\/13 + 548\/13*s**2 = 0. What is s?\nAnswer: 2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -b**5\/20 + 19*b**4\/12 - 11*b**3\/2 + 19*b**2\/2 - 24*b. What is the lowest common multiple of z(17) and 30?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25495*y - 3558 + 1181 + 1189 + 1188)*(-4 + 4 + y)*(-y**3 + 3*y**3 - 3*y**3).\nAnswer: 25495*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73507 is divided by 3499.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 r when two letters picked without replacement from rddrrdrddr.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.04 times 0.4?\nAnswer: -9.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211607 is divided by 232?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u - 71. Let h = -12895 + 12931. Give g(h).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -2. Let h be ((-176)\/(-672) - (-15)\/(-35))*(0 + -6). Sort 2, h, v in descending order.\nAnswer: v, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 5*j**6\/12 + j**5\/2 - 25*j**4\/8 - 25*j**3\/6 + 5*j**2 + 10*j - 95. Suppose y(t) = 0. What is t?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**2 + 2*t. Let h be j(1). Suppose -3*b = -0*b - 258. Suppose -h*m + 19 = -b. Is 6 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -13*d**2 + 9*d - 41. Let n be l(8). Round n to the nearest 10.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 0 - 4 - 52*v + 55*v. Let j(g) = g**2. Determine j(r(x)).\nAnswer: 9*x**2 - 24*x + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 747 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 98bd0 + -2?\nAnswer: 98bce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*v + 37 = 0, 3*i - 2*v = 21 + 14. Suppose -24831 = -i*m - 4050. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 137\/3, 11, 2\/7, -2\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 3*n - 329, 2*n + 541 = 7*n + 3*o. Let x = n - 49. What are the prime factors of x?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**2 - 30*s + 74. Determine t(0).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(3 + 32\/(-11)). Solve z = -5*q - s, -2*q - 3 = z + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2 + 4 + 90\/(-42) and (-374)\/60 - (-2)\/5.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1544 is divided by 304?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2.3, 1\/2, -2, -2\/537?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 344 and 11309.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -27. Let r = -12 - -12.1. Sort r, -3, b in descending order.\nAnswer: r, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.064 + -2.664. Let o = 2.8 + z. Let n = -4.6 - -5. Sort o, 0, n in descending order.\nAnswer: n, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 3*s**2 - 36*s - 25. What is x(-7)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107, 424, 935, 1628, 2491, 3512?\nAnswer: 4679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1655643171?\nAnswer: 3, 7, 13, 6064627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 627, 1278, 1929, 2580, 3231, 3882?\nAnswer: 4533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (80 + -69 + -1 + -4 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 771, -7\/17, -2\/53 in increasing order.\nAnswer: -6, -7\/17, -2\/53, 771","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -132401226 (base 7) to base 10\nAnswer: -8538417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/1564462 and -39.\nAnswer: 1564462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, m: 1, x: 1, a: 1, f: 2}. Give prob of sequence ma.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/9, 13, -214?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 534720\/(-7104)*((-92)\/30 - (-3)\/1).\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/9 - 91\/(-3). Suppose -4*v = -5*y - 30, -4*y + 8 = -3*v + a. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 1 = -3. Suppose -3*r + 4227 = -5*w, -5*r - o*w = 3*w - 7045. Let n = -709 + r. Round n to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4149632612 + -50233?\nAnswer: 4149582379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1918\/685*-10*(-1)\/16\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z - 150 = 0, -5*d = -4*d - 2*d - 4*z - 59 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (30*l - 3 + 1 + 36*l)*(-6*l**3 + 4*l**3 + 0*l**3) as k*l**2 + o*l**3 + c + u*l**4 + i*l and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (11 + -1)\/(5\/(-120)*-4) and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 4 + 0 + 2 - -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert c92 (base 16) to base 12.\nAnswer: 1a42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1269, -2537, -3805, -5073, -6341?\n\"Answer: -1268*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 190214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.37316 plus -0.5?\nAnswer: 0.87316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**5 + 185*h**4 - 2095*h**3 + 6835*h**2 - 2400*h - 11520 = 0 for h.\nAnswer: -1, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 63930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 52 = 5*y - 188, -5*y = -g - 90. Let p = 24 + g. What is the units digit of p\/(-9) - (-4)\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 6*s**2 + 2*s + 9. Let b be i(-7). Find the common denominator of -3*(b\/(-4) - 2) and 335\/(-100) - 2\/(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168738 (base 11) in base 5?\nAnswer: 31313213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -231, -391, -549, -711, -883, -1071, -1281?\n\"Answer: -v**3 + 7*v**2 - 174*v - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 9 - 6. Suppose -2*i + 2*c = 2, -c = -j*c + 10. What is the smallest common multiple of 4 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 6*h**2 - 5*h. Let q(o) = 4*o**2 - 3*o. Let f(s) = -3*a(s) + 5*q(s). Let u(y) be the third derivative of 3*y**5\/20 - 2*y**2. Give u(f(k)).\nAnswer: 36*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f. Let d(z) = z**3 - z**2 - 4*z + 3. Let i be d(2). Let k(s) = -10*s + 3. Let b(o) = i*k(o) + 6*g(o). What is the derivative of b(j) wrt j?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + (-3 + 5)\/(-2). Let u be m\/3*(-6)\/(-4). Let j be (-8)\/u + (-410040)\/10. Round j to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 smaller than 13976783?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 8*m + 44. Let d(b) = -b**3 - 24*b**2 + 257*b - 12. Let o be d(-32). Let t(x) = 2. Determine o*t(l) + 2*z(l).\nAnswer: 16*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*2\/(-2) - (-4)\/(-4). Let s(n) be the first derivative of -1\/12*n**a - 3 + 0*n**2 + 0*n. Factor s(x).\nAnswer: -x**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 4*c + 4. Determine u(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/3)\/(1\/6). Let w(t) be the first derivative of t**4\/4 - 10*t**3\/3 + t**2 - 7*t + 19. Is w(k) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + -4*10\/(-8). What is the first derivative of -1 + 14*k**3 - 7 - 7*k**l wrt k?\nAnswer: 21*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 0 + 1 + 211*s - 222*s. Let p be j(-1). Suppose -7*t = -p*t + 450. What is the greatest common factor of t and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 5*y**2 - 3*y + 2. Suppose 0 = -5*m - 4 + 19. Suppose 6 = 5*k + m*q - 5, -4*q + 8 = 5*k. Is x(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + -6. Let z(n) = n**3 + 11*n**2 + 11*n + 5. Let l be z(f). Suppose l = -i + 3*i. Is i a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i - 4. What is p(-7)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*4*sqrt(4)\/sqrt(2)*-3.\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2 = 13. Suppose -n*a = -973870 + 158870. What is a rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.8 in -1.19, 0.4, -1\/3, 5, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 0*i**4 + 1\/60*i**5 + 3*i + 0*i**2 - 1\/90*i**6 + 0 + 0*i**3. Suppose v(a) = 0. What is a?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.4, -4\/5, 4, -3, 2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 189879735 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 1:23 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*r - 387 - 633 = 0, r - 601 = -3*n. Let u = 197 - n. Sort 0, u, -51 in descending order.\nAnswer: 0, u, -51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 3*s + 135431 - 135403, 34*s + 24 = -2*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1769080789?\nAnswer: 7, 2801, 90227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -698*l - 405*l**3 + 642*l - 409*l - 798*l**2 - 75*l**4 - 219*l - 216 = 0.\nAnswer: -2, -6\/5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*p - 6*p + 6*p)*(-3*p + 2*p + 3*p + (-6 - 2 + 2)*(3*p + 0*p - 11*p)).\nAnswer: -400*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7829 is divided by 977?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 7*i**2 + 3*i - 8. Let z be j(-6). Suppose 3*c + 0*t - t = z, 5*c - 20 = t. Solve c*s = -2*a + 30, -3*s - 3*a = 2*a - 37 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 0. Let y = i + -5. What is the units digit of y - -3 - (-1 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2681 a factor of 63390424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26457*s**3 - 26474*s**3 - 10*s + 10*s.\nAnswer: -17*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 43*h**2 - 91*h - 81. What is s(-45)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 192*b**2 - 9*b + 3 wrt b.\nAnswer: 384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 132616 a multiple of 548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/2 + 1)\/((-57)\/(-114)). Is a equal to 7\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -18. Suppose -4*p - 26 = -j*r + 3*r, -5*p = -4*r - 14. What is the common denominator of (-224)\/r*20\/105 and 137\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y**3 - 6*y**3 + 11*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - c + 2*c**2)*(-c + c - c + (-c + 1 - 1)*(2 - 2 - 1) + c - 4 + 4 + 2*c + 3*c - 3*c - 2 + 3*c + 2)*(2 + 0 - 1).\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240*o + 2 - 97*o - 114*o.\nAnswer: 29*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -37. Let g = -20 + j. Which is the closest to 0? (a) g (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -0.3 (c) 6.1 (d) 2148\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1))**27)**0*((r*r**(-1))**(5\/3))**(-14) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**2. Let h(o) be the second derivative of 2*o**3\/3 + o**2 + 3*o + 96. What is v(h(k))?\nAnswer: 48*k**2 + 48*k + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -127 + 187. Calculate the highest common divisor of 24 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 11*x**3 - x. Let m be g(1). Suppose -i + 45 = 2*t, 2*i + 0*i = -t + 75. Is (i\/m)\/((-2)\/(-284)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6 + 12\/3 + 5. Suppose -z*c + 137 - 944 = -3*d, d = -3*c + 281. Is 12 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1797769 to the nearest integer?\nAnswer: 1341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2337 divided by -155452.\nAnswer: -2337\/155452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1557.\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 260, -5, 5 in ascending order.\nAnswer: -5, 5, 260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - r - 13*r**2 + 15*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by (-7)\/(-42) + 238\/12.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 3*a = -21, 0 = 5*i + 4*a - a + 30 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16367403889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -6*d**2 - 1\/6*d**3 + 0 - 3*d. Give v(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 46196 = -4*a + 9*v, -a - 4*v + 11549 = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 70, -4783, 0 in decreasing order.\nAnswer: 70, 0, -4783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4*(-1*sqrt(66) - sqrt(66)))\/(sqrt(150)*-1 - sqrt(150)).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21*z**2 + 2*z + 21*z**2 - z**3)*(9 + 18 - 21 + 2*z) to the form a*z**4 + o*z**3 + x + q*z + g*z**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 256\/13*o - 92\/39*o**3 + 61\/26*o**4 + 32\/65*o**5 - 160\/13*o**2 + 1\/39*o**6 + 234. Solve k(z) = 0.\nAnswer: -8, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -1011001000110010001111001110?\nAnswer: -1011001000110010001111010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 534986 to the power of 1\/2, to the nearest integer?\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98) + (sqrt(98) - (5 + -2 + sqrt(98)))**2 - (-3 + (sqrt(98)*1)**2).\nAnswer: -86 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 73 + (-1 + -1 - 0). Let f(m) = m**3 - 7*m**2 - 2*m - 3. Let a be f(6). Let q = i + a. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(5\/3)*v*v*v*((v*v**(2\/89)*v)\/v)\/v)\/(((v*v**(-9))\/v)\/v**(-2\/63)) assuming v is positive.\nAnswer: v**(76577\/5607)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*k - 576 + 288 = 0 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p. Let j(n) = 9*n**2 + 5*n - 5. Let x(y) be the second derivative of -y**4\/3 - y**3\/3 + y**2 + y. Let q(a) = -2*j(a) - 5*x(a). Calculate s(q(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + 17 - 36) + 21 + -6 - -72?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-42)\/5)\/((-15)\/50). Suppose -4*i + n = -168, -3*i + 91 + 35 = -2*n. Suppose -4*m + 14 = -i. What is the greatest common factor of z and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -0.03 (c) -1.16 (d) -0.2 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -2.605704?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 732418655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) 106309 (b) -1.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 138 - 135. Which is the second smallest value? (a) 0.1 (b) 2\/25 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (17 + -7 + -6)) + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 7*h + 3*h + 40, t - h - 5 = 0. Suppose 0 = -p - 31 + t. Does 4 divide (-14)\/p*6*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4129 a factor of 34890050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 137\/2 + -61. What is the common denominator of j and (4\/((-108)\/3))\/((-30)\/(-1290))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 325*d + 473 = 4524 + 499 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i. Let t(a) = -a**3 + 22*a**2 + 2*a - 28. Let z be t(22). Let c(h) = 26 + z + h**2 - 42. Determine c(k(x)).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, y: 2, d: 1, a: 1}. What is prob of picking 1 d and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62\/23 - -475\/276. What is the common denominator of -29\/10 and w?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1722*n**2*s*t**3 - 2*n**2*t**3 - 297*n**2*t**2 + s*t**3 wrt s?\nAnswer: -1722*n**2*t**3 + t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 834411265?\nAnswer: 5, 419, 398287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 30 - 10 = 4*y, 0 = -2*y - 3*q + 12. Solve -5*h + t = 17, -y*t - 2 - 27 = 5*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -6*i - 63. Let x be w(-10). Let d = x + 29\/9. Sort 3, 5, d, 1.\nAnswer: d, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1003 rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 12, -0.2, 0.4, 0.03, -5431 in ascending order.\nAnswer: -5431, -0.2, 0.03, 0.4, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1596.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -232411 - 21.4.\nAnswer: -232432.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -869499, -1739000, -2608501, -3478002, -4347503, -5217004?\nAnswer: -6086505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -76\/15 >= -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -18. Let v = -6 + y. Suppose 4*k = -4 + 12. Solve 2*o + v*n = 4*n - 6, n = -k*o - 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1530 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*w - 492 = 4*w, -4*q - 4*w + 1920 = 0. Let h = 1243 + q. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1711 divided by -426\nAnswer: 1711\/426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -64, 3, -4, -1342 in decreasing order.\nAnswer: 3, -4, -64, -1342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -735, -5592, -18691, -44154, -86103?\n\"Answer: -687*y**3 + y**2 - 51*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -775349 - 890*w + 775349 to the form x + p*w and give p.\nAnswer: -890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2479*c**3 + 185*c**2 + 185. Let q(u) = 40*u**3 - 3*u**2 - 3. Give -3*a(x) - 185*q(x).\nAnswer: 37*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -10177*o + 139*o**2 + 10177*o + (-1 + 0 + 3)*(-o**2 + 0*o**2 + 0*o**2) + (-3 + 3 + 1)*(2*o**2 + 2*o**2 + 0*o**2) as f*o**2 + q + y*o and give f.\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 + -75?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*d + 74*d + 52 = 106*d. Which is greater: d or -4784?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 290 = 2*a, 383 = 5*a - 4*b - 336. Let v = 352 - a. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 57*p**2\/7 + 873*p\/7 - 624\/7.\nAnswer: 3*(p + 16)*(19*p - 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 1 - 4 + 2. Let a(n) = -n**2 + 3*n + 4. Let p be a(3). Let l(z) = -z + 0 + 4*z - z + p. Calculate -5*i(v) - l(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1566?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33515 = -9*o + 43696. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 26 - -8?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28104186?\nAnswer: 2, 3, 11, 38711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -0.06007878.\nAnswer: 0.43992122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*q*u + 20346330*q + 5999092*u wrt u.\nAnswer: -3*q + 5999092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y**3 - y**2 + y - 3. Let l(b) = -18*b**3 - 6*b**2 + 3*b + 30. Determine 4*f(h) - l(h).\nAnswer: 2*h**3 + 2*h**2 + h - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 1121 = 3565. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14959038 and 13356?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b. Let w = 114 - 118. Let m(h) = -h**2 - h. Suppose -r - 13 = -3*f - 5, 4*r + 3*f + 2 = 0. Determine r*k(p) + w*m(p).\nAnswer: 4*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + f - 778, -6*f = 2*g - 3*f + 526. What is g rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5410? (a) -29 (b) 0.2 (c) -0.5 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10560043205 + -2?\nAnswer: 10560043203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 191648, 191642, 191636?\n\"Answer: -6*h + 191654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -0.4 (c) -0.5 (d) -8 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - z + 34, -17 = -2*u + 5*u - 5*z. Suppose 5*x = -66 - 39. Let c = u - x. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 2. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 903 = -10*y. Let d = y + -294. Solve -3 - d = 2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -0.2. Let v be (-23)\/(-8) + (-2)\/(-16). Which is the nearest to 2? (a) t (b) v (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c - 5. Let h = -8 + 4. Let b be u(h). Suppose 0 = 3*k - b - 64. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*n - 35 - 55 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 336 and 12844.\nAnswer: 1078896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence su when two letters picked without replacement from sufss?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 10*j**3 - 12 - 24*j**3 + 19*j**3 + 31*j**3 + 8.\nAnswer: 16*j**3 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, s: 7}. What is prob of picking 3 s and 1 l?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 454626, 1818519, 4091696, 7274163, 11365926, 16366991, 22277364, 29097051?\n\"Answer: c**3 + 454636*c**2 - 22*c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4000)*1*5)\/(1*sqrt(24)\/sqrt(3)*-3).\nAnswer: -50*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/24288 and 5\/207152.\nAnswer: 28586976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 113411470427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 34*i + 2. Let k(t) = -4823*t. Determine k(s(m)).\nAnswer: -163982*m - 9646","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7300130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a factor of 2767419408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37035 + 17788 = 46*f - 797*f for f.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -7*b - 4*b - 6*b - b**2 + 8*b - 3. Give m(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5112 + -4561?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 580 smaller than -113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3103 rounded to 2 decimal places?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13 or -1.524?\nAnswer: -1.524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6f2a - 67?\nAnswer: -6f91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - u**2 + u. Suppose -4*c + 28 = 3*q + 12, 5*q - 46 = 3*c. Let w(a) = 10*a**3 - 8*a**2 + 8*a. Determine q*s(y) - w(y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 2, 1\/15, 2\/7 in increasing order.\nAnswer: 1\/15, 2\/7, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 7*k**2 - 4. Let c be 19\/(-3) + (-10)\/15. Let s be f(c). Let t be (-1)\/2*s + 3. Solve -3*l - u + 3 = 5, t = 5*u for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d**(-2\/11)\/d*d)*((d*d*d\/(d*d\/d**(-4))*d*d)\/d)\/d*(d*d**(8\/11))\/(((d\/(d*d**(-1\/3)\/d)*d)\/d)\/d) assuming d is positive.\nAnswer: d**(-14\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53979115?\nAnswer: 5, 37, 291779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29 in -2, 2\/21, 0, 2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6132 (base 15) to base 3\nAnswer: 1001011002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+16762288\nAnswer: 16762288.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 5*m**2 - 2*m - 1. Let b = -10 + 14. Suppose 0*r - r + b = 0. What is the remainder when 20 is divided by u(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 96*w. Let l(g) = 4*g - 12. Let y(i) = -i**2 - 5*i + 15. Let q(x) = 5*l(x) + 4*y(x). Calculate q(m(z)).\nAnswer: -36864*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 315 = -119. What is the greatest common divisor of g and 186?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 4*p**3 - 4*p**2 - 3*p - 13. Is l(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1058767306?\nAnswer: 2, 529383653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75324 is divided by 4429.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010100001101 (base 2) to base 7.\nAnswer: 21466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.074+0.8\nAnswer: 0.874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*b - 25*b - 1800 = 0. Let k = 189 + -171. Calculate the greatest common factor of b and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3158 and 888977?\nAnswer: 1579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 430158.\nAnswer: 2, 3, 71693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 5686 = 2*n - 5692, -7*n + 3*r - 33 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12\/11 - -178\/143. Sort o, -0.4, -4\/3.\nAnswer: -4\/3, -0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 5*p**2 - 49*p + 75. Let o be m(2). Suppose 2*g + 19 = u, 5*g + 5*u = -95 + 40. Sort g, o, -1, -3 in decreasing order.\nAnswer: o, -1, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00213156 to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56138 - -79999. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g + 3. Let u be j(-4). Suppose 49 = n + 4*n - i, -2*i - 35 = -3*n. Suppose u = 3*m - n. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7 - 6)\/(0 + 1). Let l(v) = -v**2 - v - 1. Let y(s) = -8*s**2 - 4*s - 4. Determine x*y(q) - 4*l(q).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13958956 is divided by 1069?\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 76 = -2*b. Let j = b - 23. Let o = -13 + j. Calculate the remainder when 8 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 7:44 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a kilometer in centimeters?\nAnswer: 48000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvzkccc. Give prob of sequence vz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**3\/13 + 262*b**2\/13 - 8712*b\/13 - 28440\/13 = 0.\nAnswer: -158, -3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*c + 2*w, -4*w - 16 = -0*w. Let o = c + 5. Solve -o*i - 5 = i + 4*b, 4*b + 20 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -126 in descending order.\nAnswer: 2, -1, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33231 and 7815327.\nAnswer: 3021","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 31*a**2 - 3*a - 60. Is h(-29) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4014 - 4017. Which is the closest to v? (a) -87.6 (b) -4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 19 and 850806321.11.\nAnswer: 850806340.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 + 52. Let i be 6*(-27585)\/18 - 2. Let k be 12\/w*1 + i\/(-4). What is k rounded to the nearest 100?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**2 - 12*t - 7. Let o be q(-5). Let y(v) be the first derivative of -3\/4*v**4 - 9\/2*v**2 - o*v - 3*v**3 - 3. Let y(w) = 0. Calculate w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/102 and 89\/336066.\nAnswer: 5713122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001037022 to 6 dps.\nAnswer: -0.001037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/4)\/((-1)\/(-2)). Let u(q) be the third derivative of -q**4\/24 - q**2. Calculate u(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -9472*u - 123129. What is m(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.494, 18, 28?\nAnswer: 0.494","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80) - (sqrt(80)*-2 - sqrt(80)))*4)\/(4*(sqrt(4) + sqrt(4)*2)))\/((sqrt(810) - sqrt(810)*-2)*1*6).\nAnswer: 2*sqrt(2)\/243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9581\/(-30) + 92\/(-690). Let h = m + 320. What is v in -5\/4*v**2 + 5\/4*v**4 + 0 - 1\/2*v**3 + h*v = 0?\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 43, 130, 293, 556?\nAnswer: 943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) -0.17 (c) -0.1 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4699026 a multiple of 503?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*a - 4. Let m(r) = 2*r**2 - r - 2. What is the least common multiple of m(a) and (-28)\/4 + 5 + 5 + (-6)\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -0.4, 0.57, -0.05, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-2)*(68 - 70).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -119.7 times 6\nAnswer: -718.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 + q + 31. Let l be v(0). Suppose -154 = l*z - 1363. Calculate the least common multiple of 5 and z.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1081798889 and 5.\nAnswer: 5408994445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*v + 3286 + 3203. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 27*p + 4 = -29*p, 5*c + 10 = p for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 11:06 AM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5123172 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of s**7\/2520 - s**6\/60 - s**5\/24 + s**4\/12 + 3*s**2. Let l(d) be the second derivative of w(d). Is l(13) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 3*a**4 + 2238*a**3 + 4443*a**2 - 15612*a + 8928 = 0.\nAnswer: -744, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.937913 rounded to two dps?\nAnswer: -2.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*a = 3*m - 20, 2*a = 10. What is the units digit of m - (-1 - (2 + -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1731823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 113, 2, -5, 1 in descending order.\nAnswer: 113, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -3*g + 7. Let m be 2\/(-9) - g\/(-45). What is the closest to 2 in 1\/5, m, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-106569.\nAnswer: 426276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, a: 3, x: 1}. What is prob of sequence bx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000015835 to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 957594167.\nAnswer: 19, 23, 2191291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6601645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35325 + 18490 + 16835 + h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.649382 rounded to two decimal places?\nAnswer: -5.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 16*g**2 + 17*g + 5. Let j be h(17). Which is the third smallest value? (a) 0.1 (b) -4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of f**5\/30 - 7*f**2. Let b(d) = -5*d. What is b(p(q))?\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - 48\/28*1. Let g = 0.2 - 1.2. What is the nearest to g in 0.3, 1\/7, c?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 250, 1014, 2290, 4078, 6378, 9190?\n\"Answer: 256*d**2 - 4*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -0*d - 760. Suppose -4*u = -0*u - 132. What is the remainder when d is divided by u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.76 times 1.7?\nAnswer: 6.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.40989 + -0.00989. Let i = -40 + 278\/7. Which is the smallest value? (a) i (b) -3 (c) z (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 20920*y**2 + 22*y + 16. Let c(k) = -4184*k**2 - 4*k - 3. Give 11*c(g) + 2*i(g).\nAnswer: -4184*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30659693?\nAnswer: 30659693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4767309.\nAnswer: 3, 19, 9293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150 and 664725.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c**2 - 19*c + 20. Let j be g(1). Let s = 3 + 0. Solve j*d = s*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.8 - -7. Let o = 5.7 - 0.7. Let x = 28.8 - 29. What is the closest to 1 in a, x, o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ua when two letters picked without replacement from ucuadci?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/((b*b*b**(-4))\/b))\/b)\/b**2*b**(-3\/8)*((b\/(b*b**4))\/b)\/b)**36 assuming b is positive.\nAnswer: b**(-315\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(2\/9)\/q))**(-13) assuming q is positive.\nAnswer: q**(-208\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4304*q**2 + 74*q + 153. What is the tens digit of y(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -2eb748?\nAnswer: 2eb748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*k**2 + 7*k**2 - 4*k**2)*(122*k**2 + 8 - 5 - 12 + 7) to d*k**2 + p*k**4 + b*k + i*k**3 + g and give p.\nAnswer: 854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = b - 13. Suppose 5*t + 1 = l, -b*l + 0*t - 3*t = -96. Let h = 50 - l. List the prime factors of h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9366.778ug in grams?\nAnswer: 0.009366778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n. Let o be c(2). Suppose 3*k = -o*k + 25. Let f(j) = j**2 + k*j + 6*j**2 - 6*j**2. Determine f(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1938)\/(-95))\/((-6)\/(-20)). Let w = a - 68. Suppose -8*m = -w*m - 648. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 16 = -h - d, -2*h - d = -4. Find the second derivative of 57*t + 14*t**4 + t**2 - 21*t + 13*t**h wrt t.\nAnswer: 324*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 7*j**3\/3 + 4. Let m(x) = -5*x. Let f(c) = -c. Let w(v) = -6*f(v) + m(v). Determine w(y(q)).\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165998*-1485.\nAnswer: -246507030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 632 and 595?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 163802 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 27*f**4\/4 + 11*f**3 + 3*f**2 - 61. Solve s(o) = 0.\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1342, 1347, 1352?\n\"Answer: 5*f + 1337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 878119 is divided by 232.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2082*x**4 - 3653.\nAnswer: -8328*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/8 - (-6)\/(168\/69391) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11110011200 + 12?\nAnswer: -11110011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1600 a factor of 12329126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-3 - 1) - -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*o + 17*o - 8*o - 17*o**2.\nAnswer: -17*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(3\/19)\/(d**(2\/17)\/d)*d**(-2\/21)*d**(7\/2) assuming d is positive.\nAnswer: d**(60301\/13566)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (-7035)\/780)\/((3\/1)\/6)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -15*b - 682. Give r(-43).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 10, t: 9}. What is prob of picking 2 t?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -784851 times -5\nAnswer: 3924255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -241410 - -110333?\nAnswer: -131022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240*w + 5876 + 2440 = 12*w for w.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -18, -2\/7, -1\/18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80 + (-52 - 36) + -1 + -14?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/6*(945\/6)\/15. Solve p = -5*w + 2*s + s, w = 3*s - 11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -135*i - 42. Let a be v(-6). Suppose -5*z = -3*y + a, 2*y - z + 4*z = 512. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**3 + 5*n**2 - 5*n + 6. Let f(y) = -2*y**3 + 6*y**2 - 6*y + 7. Suppose 234 = -164*d + 203*d. Give d*l(m) - 5*f(m).\nAnswer: -2*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2) + 0 + (16 - 12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 119*v**2 + 5467 + 6*v**2 - 5467 + 56*v**3 wrt v.\nAnswer: 336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.3, -0.2, 4550, -6, 4, 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k*z**2 - 3929*k*z + 1352*z**2 + 5*z with respect to k.\nAnswer: 2*z**2 - 3929*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54384?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 150 + (-22 - 104) + -11.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 0.5 (c) -7 (d) -0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/27? (a) -32 (b) 0.2 (c) -0.8 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*(-3)\/60 + 3\/(-5).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + -2)*-3 - (-3 + sqrt(19) + -2).\nAnswer: -4*sqrt(19) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1\/2))**(31\/3)*q\/(q\/(q**1*q))*q**4 assuming q is positive.\nAnswer: q**(67\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (h - 5 + 5)*(-2*h + 5*h + 5 - 5*h) in the form m + j*h + z*h**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a century in months?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 14 (b) 0.4 (c) -0.7274 (d) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 132989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4160)\/208)\/(((35\/91)\/(-5))\/((-6)\/39)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 13003, 8239, 3475, -1289?\n\"Answer: -4764*n + 17767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1952 = 28*c - 39012. Is c a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -h**4\/24 - h**3\/6 - 2*h**2. Let q be l(1). Does 6 divide (-8)\/((-12)\/(-8) + q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10197\/(-5005) + (-3)\/39 and (-1)\/4 - 4\/80.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*z + 16*z + 3 - 3 to r + v*z and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(275)*-1)**2.\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*v - 17 = 99 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -8*g + 14. Let m = -2797 - -2800. Determine x(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*p**6 - 35*p**2 + 33*p**6 + 38*p**2 wrt p.\nAnswer: 4560*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1624 is divided by 173?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 7 + (-10 - -1) + 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*t - 38. Suppose 3*l - 2*l = 20. Suppose -2*q = 2*q - l. Calculate the lowest common multiple of q and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5*c**2 - c - 1. Let w(p) = -p**2. Let q(n) = -l(n) - 4*w(n). Let m be 0\/(-1) + 0 + 1. Let j(a) = a**3 + 4*a**2 - 4*a - 4. Determine m*j(f) + 4*q(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-79 - 31775\/(-403))*3\/2.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 549 and 1629554?\nAnswer: 14665986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1832 and 12?\nAnswer: 5496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 9 = 3*h, 2*h - 131*v = -135*v + 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 64740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b + 6. Let a be d(-3). Let u be 1\/a*(5 + 1). Suppose -u*g + 34 = -g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70651 a multiple of 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -450677613.7606 and -266.\nAnswer: -450677879.7606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -22*i - 10. Let g be j(-1). Let z(k) = 2*k**2 - 13*k. What is the tens digit of z(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -124564 + 88470. Round v to the nearest 1000.\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2 = -12. Let w be 2\/j - 15\/105. Let a be 0*(-4)\/8 - w. Solve 15 = -a*q - 3*q, -g = -4*q - 18 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-6\/19)\/b**(3\/7)*(b*b**(1\/6)\/b)\/b**(-1\/30) assuming b is positive.\nAnswer: b**(-362\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiyiyiiyiy. Give prob of picking 1 y and 1 i.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 0, -1\/2, -2\/7, -3, -8.42?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r - q, 0*q = 4*r - 3*q - 13 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-114*t + 157*t + 166*t)*(t + 2 - 2).\nAnswer: 209*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 - 8*t - 8. Let w(i) = 363*i - 732*i - 1 + i**2 + 368*i. Calculate -a(x) + 8*w(x).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -1\/8, 1.5, -2.4?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 6:28 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 16514167*2\nAnswer: 33028334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15416 and 210248.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -164*m + 521. Calculate p(3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = o + d, o - 4*d + 2*d = -7. Suppose 3*s - 3*y = 87, o*y = 2*s - 11 - 50. Suppose -22*r = -s*r + 29200. What is r rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -u**6\/360 + u**5\/45 + u**4\/18 - 8*u**3\/9 - 6*u**2 - 5. Factor v(n).\nAnswer: -(n - 4)*(n - 2)*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 2*b + 8 = 0, 0 = -4*b - b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*f - 8 = 0. Suppose -2*b = 3*k + 10, b - 4*k - 18 = -12. List the prime factors of (38 - b) + (f - -1).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -116081 and -116079 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13517 is divided by 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(833) - (-5 + sqrt(17) + 0) - (sqrt(17) + -3 + sqrt(51)\/sqrt(3) + -2))*2)**2.\nAnswer: 320*sqrt(17) + 1488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 11 = o + 2*o, 4*o - 26 = -3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -642\/11 or -77?\nAnswer: -642\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 682992?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51955608?\nAnswer: 2, 3, 2164817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 3*p + 59 = 0, -4*n - 4*p = -0*p + 24 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 52873216\/1422080 - 4\/(-202). Factor -183\/5 + a*m - 3\/5*m**2.\nAnswer: -3*(m - 61)*(m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.027777 to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((54\/36)\/(6\/(-13)))\/(3\/12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/6 of a day?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -t**5\/60 + 5*t**4\/12 + t**3\/2 + t**2. Let k be y(10). Solve 5*v - 2*v = -k for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3813 a factor of 533700210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/128820 and -121\/30633396.\nAnswer: 153166980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 9. What is the remainder when 37 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/49989 (b) 0 (c) 4 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + (1 - 0)*5. Suppose 0 = -g*r - 2, -5*k + 3*r = -0*k - 78. Is k a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3 + 2 - 116*p**4 + 4*p**2 - 4*p**3 + 4*p**3 - 4 wrt p?\nAnswer: -2784*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 times -27?\nAnswer: 1755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2848161.\nAnswer: 3, 949387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 113, 178?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5895, -5893, -5891, -5889?\nAnswer: -5887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3193.\nAnswer: 31, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 335 (base 8) in base 10?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 24*p - 236. Let o be t(10). Solve -s = o*r + 1, 3*r = 6 - 3 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b8660 (base 13) to base 5.\nAnswer: -233403200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1.83 (b) -11.332 (c) 4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.86 - -6. Let a = 1.74 - t. Round a to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oem. What is prob of picking 1 o and 1 m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -142*x**2 - 2. Let n(w) = 155*w. Determine f(n(y)).\nAnswer: -3411550*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -45.05, -2\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, f: 2, d: 1, w: 1, v: 3, h: 1}. Give prob of picking 1 b, 1 v, 1 w, and 1 f.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2802.\nAnswer: 2, 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 809945\/22 > 36816?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (33\/(-21) + 3)\/(8\/378 + (-356)\/(-4806))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a milligram in micrograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -290 + 276. Let i be (d\/(-308))\/((-1)\/2). Which is bigger: -2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2848*z + 11097*z + 9171 = -622505 - 490188 for z.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 85 = 9 + 11 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-1)\/(-2))\/((-2)\/(-44))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23994483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*l - 9*l = -46*l - 7*l - 5151 for l.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1431 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2070784 by 32356.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -124431*z**2 - 36070?\nAnswer: -248862*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2 - 17*g + 18. Give d(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - 11)*(-8)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14 or -15?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*r**3 + 5*r*x + 129*x wrt r?\nAnswer: -21*r**2 + 5*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 60 = -0*r. Let j = 22 + r. Suppose -5*q - c = -99, 3*c - 5*c + 103 = 5*q. What is the remainder when q is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -2687039?\nAnswer: -1074815.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4237 by 4237.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197137 is divided by 281.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -539*c + 42. Let z(h) = -24256*h + 1904. Give -272*w(x) + 6*z(x).\nAnswer: 1072*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 6. Suppose -4*m = -s - 3, -4*s - m - 498 = -503. Which is the closest to s? (a) n (b) 11\/4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 36, 28, 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 - 8. Calculate the greatest common factor of u and 148.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 - 26. Suppose -4*r + b = -2*r. Differentiate -r*l**3 - 9*l**3 - 6 + 0*l**3 wrt l.\nAnswer: -45*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of h**2\/2 + 10*h - 261. Let f(u) = -8*u. Calculate f(i(w)).\nAnswer: -8*w - 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -19*v**2\/2 + 60. Let x(p) = 8*p. Calculate g(x(c)).\nAnswer: -152*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1574 = 5*q + 2*d - 1459, 5*q + 145 = 4*d for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 3, 4, -0.126 in descending order.\nAnswer: 4, 3, -1\/8, -0.126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 261? (a) -2 (b) 0 (c) 979 (d) 2\/15 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -366.5 - -557. Let v = o + -190. Let r = 2 - 4. What is the nearest to r in v, -1, -1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 11779 and 11847 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 1777453?\nAnswer: -1777453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 96 - 98. Let j be 15\/6*(-44)\/385. What is the biggest value in b, j, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4566\/(-7) - 6\/(-21). Let a be (24\/(-20))\/(q\/320 - -2). Suppose -5*o + 4*t + a + 20 = 0, 3*t = -2*o + 30. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x**2 - 18*x - 10. Determine r(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 0, -7, -3, -2, 2, -39 in increasing order.\nAnswer: -39, -7, -3, -2, 0, 2, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -182, -6\/17, 15, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 1321*z - 9. Let k(x) = -662*x + 5. Determine -5*k(w) - 3*l(w).\nAnswer: -653*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**4 - 1 + 1 + (20*v - 12*v**3 - 20*v)*(-3*v - 220 + 215 + v) to the form a*v + i*v**4 + t + r*v**2 + d*v**3 and give i.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 5*o + 223. Let r be v(-43). Let m = 711 + r. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -26.4 (b) -0.22 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -8500877 smaller than -8500860?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 13*t - 1. Let l be r(5). Let m = -6049 + 6073. Calculate the highest common factor of m and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in seventeen halves of a millennium?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w**4 + 5*w**3 + 3*w**2 + w + 2. Let u = 17 + -11. Let i(m) = m**4 - m**3 - m**2 + 1. Let t(x) = u*i(x) - 3*p(x). Factor t(b).\nAnswer: -3*b*(b + 1)**2*(3*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/240 and -127\/16140.\nAnswer: 64560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 954 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*o - 145. Let w = 105 + o. Suppose -4*n - w = -8*n. What is the remainder when n is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 328302?\nAnswer: -328302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1425 - -1519. What is the closest to j in 0.3, -1\/9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 14*q**3 - 42*q**2 - 2058*q - 10. Let b(d) = 6*d**3 - 16*d**2 - 1028*d - 4. What is 5*b(p) - 2*k(p)?\nAnswer: 2*p**3 + 4*p**2 - 1024*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than -194\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-263)\/((-450)\/(-153) - 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 u when two letters picked without replacement from {e: 2, n: 3, f: 3, u: 9}?\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3121904 divided by -390238.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 347, -7 in descending order.\nAnswer: 347, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -9*(5\/3 - 1). Let m be (10\/p)\/(-5) - (-2)\/(-6). Solve 4*o = -3*b - m - 7, -2*o - 2*b = 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -11*g**3 + 1. Let x be a(1). Let q = x - -16. Let v(h) = h**2 - 6*h + 8. What is the units digit of v(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.233 and -0.05.\nAnswer: -0.11165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 24921.94?\nAnswer: 74765.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (231 - 230 - (-2 + -5 + -2)) + 3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -14*h + 2*h**2 - 3 - 18*h + 28*h. Let n(x) = 2*x**2 - 3*x - 2. Determine 3*n(l) - 2*y(l).\nAnswer: 2*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67 - (-3 + 4 - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -10. Let t be 2\/(-5) - (-88)\/(-55). Let v = t + n. Solve 3*z - 19 + v = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -130.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 + 16*x + 982. What is y(-30)?\nAnswer: -1298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 3)\/(-7 + (-188)\/(-26))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of r**5\/60 + 7*r**4\/6 - 14*r**3 - 134*r**2. Differentiate x(j) wrt j.\nAnswer: 2*j + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 7*w - 2*w**3 + 0 - 5*w - 1. Let j be c(1). Sort 13, 5, j in ascending order.\nAnswer: j, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-24)\/180*-18)\/((-10)\/(-15)))\/(8\/(-12))?\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 151*n**2 - 10\/3*n**3 + 0 + 0*n - 841\/12*n**5 + 145\/6*n**4. Determine u so that c(u) = 0.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4145, -2, 1, -1, 5, 2, 236.\nAnswer: -4145, -2, -1, 1, 2, 5, 236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.5 and -36462.\nAnswer: -54693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5*l - 3. Let b(q) = 6*q - 3. Let x(a) = 4*b(a) - 5*o(a). Let h be x(5). What is the remainder when 20 is divided by 7\/((4 - 1) + h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2313*a + 31. Determine r(-1).\nAnswer: -2282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 20, -2*t + n + 211 = 18. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5378*593.\nAnswer: -318.9154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + -8. Let m be 4\/((z\/(-20))\/(-3)). Suppose -5*r + 357 = -523. What is the greatest common factor of m and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26705445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-2\/23))\/(x**(1\/2)*x)*(x**(-1)*x)\/((x\/(x\/((x**(3\/2)*x)\/x)))\/x) assuming x is positive.\nAnswer: x**(-25\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**2 + 22*u - 1. Let k be h(-5). Suppose -w = -4*v + 243, 0 = 5*v + w + 2*w - 308. Let n = v + k. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*k + 5*m, -2 - 4 = 3*m. Let h be k - (-5 + 1 - 3). Solve -2*u = -3*i - 5*u - 9, h*i - 2*u + 15 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-10) - (-222)\/120*-4. What is the units digit of 11\/((6\/(-5334)*m)\/1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -230678615.3 rounded to the nearest 100000?\nAnswer: -230700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 5*q**2 - 6*q - 1. Let w be x(-6). Let j = 0.05 + -1.05. What is the nearest to w in j, 5, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 311550*m + 220384*m + 214706*m.\nAnswer: 746640*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1.196*0.3\nAnswer: -0.3588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202*x**2 + 204*x**2 - 413*x + 238*x**2 + 413*x + 105*x**2.\nAnswer: 345*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2070 is divided by 409?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 6*a = -10*a - 24, 0 = -3*g + a + 18 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6615 and 23590035?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(363)*-2*-5 - (-1*((sqrt(363) - (sqrt(363)*3)**2) + sqrt(363)) - sqrt(363)).\nAnswer: -3267 + 143*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13596 - 7483. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(-6\/7)*g**(-3\/5))\/((g**(-7\/3)*g)\/g**(-4\/9)) assuming g is positive.\nAnswer: g**(451\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.597 - -0.235. What is h rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -5, 5.3, -3\/8?\nAnswer: 5.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -409*n - 1602. Determine r(-4).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 12 = -0*c. What is the highest common divisor of c and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 59a - 1?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-2)*6\/(-12)*(-112)\/(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 4073\nAnswer: 3\/4073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.7 (b) -1\/2879507 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 91040479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3479460, -6958921, -10438382?\n\"Answer: -3479461*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/4 + 81\/(-18). Let g be (-26)\/39 + a\/(-6). Suppose -9*d + 63 + 198 = g. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.93+0.09\nAnswer: -0.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 8*d - 3. Let z be r(-9). Let s(k) = k**2 - 8*k + 9. Let q be s(6). Let a = q + z. Solve a*o + 8 = v, v - 3*v - 5*o + 5 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -179, -267, -359?\nAnswer: -455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 872 divided by 91\nAnswer: 872\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j + 3. Let b(m) = 9*m - 1. Let o be b(-3). What is the remainder when -2 - (o\/1 - 0) is divided by r(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 10*t - 4. Let w be v(9). Suppose -2*m - 250 = -w*l - 75, -4*m + 140 = 4*l. Let d be 91\/l + (-2)\/(-5). Which is smaller: 4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 5*m**2 - 10*m**2 - 3*m + 4 + 3*m**2 + 1. Let y(r) = 4 + 0 - 2*r + 2*r**2 - 3*r**2. Calculate 4*v(c) - 5*y(c).\nAnswer: c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = z, 2*z + 3*f = -2*f + 21 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000431062 to five decimal places.\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = -2*z + 2*l, -4*z + 336 = -7*z - 4*l. Let u = -75 - z. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257755 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*r + 88. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 + 3340*y + 3342.\nAnswer: -2*(y - 1671)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4*o**3 + 5*o**2. Suppose 0 = -4*z + 7 + 5. Let f(j) = 2*j**z + 0*j**3 - 4*j**2 - 2*j**3 + 3*j**3. Determine -5*f(t) - 4*i(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 3*u - 1020251, 9*g + 1360260 = 4*u + 5*g. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/4)\/((-18)\/(-60)). Solve -g + 3*o = 5 + k, -5*g - 22 = -o for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131926.\nAnswer: 2, 65963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 22*b - 26. What is the units digit of q(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 1.9. Let q be 3\/(-261)*2*3. Let t = -33\/58 - q. Which is the nearest to t? (a) -0.3 (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26.09 - -4.61. Let a = -103 - -74. Let g = a + l. Round g to 1 dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3607 + -2761. Does 18 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -9.4. Let a = -10166\/21 + 484. What is the nearest to 2\/5 in 4, a, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 9 = -15. Let l = 15 - p. Solve 9 = l*q - 3*d, 0*q + 10 = 4*q - 5*d for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -366?\nAnswer: -403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/61)\/(x*((x*x**(-11)*x)\/x*x)\/x*x) assuming x is positive.\nAnswer: x**(486\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 10 = 5*t. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 + 40. Calculate the least common multiple of 22 and h.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 491875685?\nAnswer: 5, 7, 14053591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -17*f - 11*f + 12*f. Let c be (-2)\/3 - 1\/3. What is the tens digit of z(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 20*y**2 - 11*y + 218. Give x(-21).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(170) - 2*sqrt(170))\/sqrt(10).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 714750.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 697757 is divided by 25842.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 181, 18, -16, -68, -3 in decreasing order.\nAnswer: 181, 18, -3, -16, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -3, 296, 967, 2136, 3929?\nAnswer: 6472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) 0 (b) 129 (c) 1\/30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394 - 1 - (6 - 10)*-1 is divided by 165?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u - 24 + 2 + 3*u + 113 in the form w*u + m and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {g: 11, e: 2}?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**2 - 2*v + 1. Let u(k) = -8*k**2 + 9*k - 5. Give 9*l(q) + 2*u(q).\nAnswer: 2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 6*x + 7. Let r be l(-5). Let k be r + 9 + 2 + -1. Suppose -21 + 11 = -5*g. Solve g*p - k = 5*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -582305 or -55?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*h - 3*k - 1, -h = -3*k + 17. Let y be h\/(-56) - (-55)\/7. Suppose 47600 = 15*q - y*q. Round q to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3))\/(12*(-2)\/54).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-316)\/(-28) + (-2)\/7. Let b be (-13)\/s - 2\/(-11). Let q(p) be the second derivative of -3*p**4\/4 - p**3\/6 - p**2\/2 + p. Calculate q(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 10.5. What is the closest to 0 in v, -0.2, 2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -773*i**3 - 5*i**2 + 941*i - 103783499 wrt i.\nAnswer: -2319*i**2 - 10*i + 941","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22633 (base 7) to base 12.\nAnswer: -343a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -2. What is the greatest common divisor of j and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**4\/3 - 52*a**3\/3 + 144*a**2 - 324*a - 486 = 0.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.6742948 to three decimal places.\nAnswer: -3.674","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001464292207 rounded to 4 decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 18480.05\nAnswer: 5544.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191474447.\nAnswer: 131, 1461637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 33*l**2 + 2 + 29*l**2 - 61*l**2 - 4. Let g be m(2). Suppose 215 = v + 4*b, g*v + b = 5*b + 382. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 81, -4, 0.5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 3*t + 33, 0 = 2*t + 5 + 1. Calculate the greatest common divisor of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-2) - 0)*(51 + 28) + 4. Is i greater than or equal to -95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*i + 4 = -80*i. What is the biggest value in i, -0.5, 4, 0.13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184.2 + 159.642.\nAnswer: 343.842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 3 (b) 2.9 (c) 40.8 (d) -2\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1324)\/(-2) + (-20)\/10.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2149*h = -1740*h + 6787 - 21511 for h.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 74881 (base 9) to base 8\nAnswer: 140634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -11287\/9039 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16311862.\nAnswer: 2, 7, 29, 40177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 w when two letters picked without replacement from {o: 2, k: 6, m: 1, w: 1, x: 3, u: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 6 (c) -1.5 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*t + 6*n + 42 = 209*t, -4*t - 5*n = -33 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 29 = -3*j, -13 = m + 5*j - 2*j for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 5*c + 50 - 170, -32 = -p - c. Calculate the greatest common divisor of p and 224.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-65)\/52)\/5*(-12)\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4329 - 0.3329. What is the nearest to -1 in 0.4, -26.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 865*g**2. Let h(r) be the first derivative of r**3\/3 - 393. Give h(c(p)).\nAnswer: 748225*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 15*b**2 - b - 1. Calculate g(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - 0. What is the remainder when l is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -1357?\nAnswer: 1361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -14*n - 55. Determine j(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dq when two letters picked without replacement from qidi.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 11:27 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*-14681408.\nAnswer: -132132672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + -4)\/2 - -4. Suppose -5*o + 4*i - 4 = 6*i, a*o + 4 = -2*i. Let t be (4\/(-3))\/((-2)\/6). Solve z + t*d = 12, o = -0*z + z + d - 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63040, 70162, 82032, 98650, 120016, 146130?\nAnswer: 176992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**2\/3 - 23044*t - 4449024 = 0. What is t?\nAnswer: -192, 34758","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h**2. Let c = 228 + -226. Let u(t) = 73*t**c - 97*t**2 + 72*t**2. Calculate u(l(d)).\nAnswer: 432*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, d: 2, q: 1, v: 2, n: 1, b: 2}. Give prob of picking 1 b and 1 n.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -827*-26601.\nAnswer: 21999027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by -5*(9\/(-3))\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96511, -192953, -289395, -385837, -482279, -578721?\nAnswer: -675163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6\/1459 - -3056\/33557. Let s = -1 + 0.9. Which is the closest to s? (a) 2\/7 (b) x (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(600\/(-105)) + 4\/(-10). What is the nearest to r in -3\/5, -3, -28, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 47*b**2 - 205*b - 26. Determine f(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1254970118 to the nearest integer?\nAnswer: 1079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87030?\nAnswer: 2, 3, 5, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23 + 0*n + 22*n**3 + 9*n - 9*n wrt n?\nAnswer: 66*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = x - 3 - 16, -3*x - 5*r = -17. Sort 3, 9, x.\nAnswer: x, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -132*z**2 - 107*z. Give i(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 15, 1, 272768 in descending order.\nAnswer: 272768, 15, 4\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 401661.\nAnswer: 3, 13, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -31 (b) 6 (c) 4 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**2 + 7*x - 23. Let t be h(-5). Let d be (0 - 144\/(-68)) + (-2)\/t. Let -35\/2*r - 5 - 5*r**3 + 5\/2*r**5 - 20*r**d + 5*r**4 = 0. Calculate r.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 516\/645*(-10)\/52\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -83, -184, -327, -518, -763, -1068?\nAnswer: -1439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1\/(-2))*(-53 + 43)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 81*r**3 - 1332*r**2 + 580*r - 64 = 0.\nAnswer: 2\/9, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11179 divided by -8?\nAnswer: -11179\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0.5 (c) 333 (d) -59 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -15273466 equal to -15273465?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 35, 38, 45, 56?\n\"Answer: 2*f**2 - 3*f + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346334 is divided by 1758.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 = -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 2*v**2 + 5*v - 6. Let s be j(3). Let a(k) be the second derivative of -k - 1\/24*k**3 + 1\/48*k**4 + s + 0*k**2. Factor a(l).\nAnswer: l*(l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-282)\/(-329)*(-4)\/6*-7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(11) - (sqrt(88)\/sqrt(8) - sqrt(11))) - sqrt(12))\/(sqrt(100)*-2) - (1 + ((sqrt(243) + 1)**2 - (sqrt(12)\/sqrt(4) + 5))*-2).\nAnswer: 34*sqrt(3) + 477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.1 + -4.2. Let i = 0.128 - 3.128. Let h = z - i. Which is smaller: -2.5 or h?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 + 0)*(p - 4*p + 2*p) + 20*p + 137 - 137.\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 629814 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -82 + 67. Let v = 25 + b. Suppose 3*a - v = a. Solve 4*p - p + a*j - 15 = 0, -2*p = 2*j - 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 36806*v**2 + 5*v - 4. Let u be l(-12). Round u to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i - 6. Let f be o(-6). Suppose 3*b + 6 - 30 = f. Let s(r) = -r + 26. List the prime factors of s(b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((-1 - -11) + -5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15536*a + 31045*a - 15513*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/6, 7, -1, -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/22 and -101\/29160?\nAnswer: 320760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -4*n**4 + 1812*n**3 + 11004*n**2 + 5548*n - 18360 = 0?\nAnswer: -5, -2, 1, 459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 72 - 12 = 0. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, k: 1, c: 5, f: 8, s: 2}. What is prob of sequence nsfs?\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.14 + -0.26. Let s = -57\/2 + 29. Let n = 591 - 594. What is the closest to h in s, 5, n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (20*(-3)\/(-60))\/((-2)\/22*1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*sqrt(128) + 4 + (2*(sqrt(128) + -1 + -4))**2.\nAnswer: -304*sqrt(2) + 616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -22010021 (base 4) to base 13\nAnswer: -159c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 16*q + 2. Let m be b(1). Let u be -6*(4 - m\/4). Solve -u = -2*o + 7 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 2 + -8 - (-11 + 15)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-45)\/(-40)*(1925\/75 + -23). Let y = 0.5 + -0.3. Let f = -11 + 7. What is the biggest value in y, b, f, -10?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5847 - 5847. Solve -56*w + 60*w = n for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 28 = -2*x. Suppose 8*z - 4*z - 144 = -5*b, -3*b = x*z - 136. What are the prime factors of z?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t**2 - t**2 - t**2 + (0 + t + 0)*(-t - 6*t + 3*t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3614 = 14105*x - 14383*x for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 0*p + 12 = p, -3*p - 2 = -4*g. Let w(y) = -3*y**2 + 10*y. Let c(v) = -v**2 + 3*v. Give g*w(o) - 7*c(o).\nAnswer: o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*-2*(-10)\/(-8). Let q be (b\/2)\/(9\/12). Let o = q + 59. Calculate the greatest common factor of 7 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y. Let h(q) = 10*q**2 - 197. Calculate h(z(f)).\nAnswer: 40*f**2 - 197","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -48\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = p + 4*r - 4, 2*p - 22 = -5*r. Let b be (-133)\/(-21) + p\/(-3). Let c(m) = -1 + 7 - m - b. Let s(u) = 13*u. Determine s(c(x)).\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2a44f + 0?\nAnswer: 2a44f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 266953.3 centuries in years?\nAnswer: 26695330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 111100010011111111000 (base 2) in base 13?\nAnswer: 542720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80780 and 1470?\nAnswer: 1696380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 394 - 391. Let i = 0.04 + -0.05. Let k = -3.99 + i. What is the third smallest value in w, k, -3\/8?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2127*k + 13. What is d(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17 or 236\/13?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 5*q = 4*w + 4, 5*w + q = -20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 405888 by 3624.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 57 = -28*i + 27*i, -4*h - i = -111. Suppose -10 = 3*m - h. Calculate the remainder when 92 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t**2 + 534*t - 1536. Give a(-136).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**3 - 8*t**2 + 2*t + 37. Let v be j(-9). Suppose -1075 = -14*l + v. List the prime factors of l.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, q: 2}. What is prob of sequence dqd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 9:02 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 71*a - 1090. Calculate k(49).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 8 (c) 352 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2. Let p(r) = -2*r**3 - r**2 - 1. Suppose 4 = -4*i + 3*y, -2*i = -4*y + 1 + 1. What is i*p(k) - d(k)?\nAnswer: 2*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 4446?\nAnswer: 2\/2223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 22, 13, -26, -113, -266?\n\"Answer: -3*f**3 + 3*f**2 + 3*f + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 1. Let f = -7 - -10. Suppose 3 = f*g - 3. Let c(o) = -o + 3. Give g*c(z) - 6*m(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -c**4\/12 - c**3\/3 + 3*c**2\/2 + c. Let s be h(2). Let o = 8 + s. Solve 2*f + 0*f + 2 = -4*l, 0 = o*f - 9 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(18 - 1143\/63).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -u**4\/24 + 2*u**2. Let s(v) = -1397*v - 1403*v - 1392*v - 1394*v + 5565*v. Determine g(s(j)).\nAnswer: 21*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 53736 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 = 37 - 61. Let w be 23*(1 + -6 - -4). Let l = w - m. Sort 3, l, -2, 2 in descending order.\nAnswer: 3, 2, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/15628 and 73\/339909?\nAnswer: 1359636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 4*u - 4*u)*(930*u**3 - 7968*u**3 + 174*u**3).\nAnswer: 13728*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1933*h**3 + 1480*h**3 + 1942*h**3 - 5349*h**3.\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.01 + 2.01. Suppose -4*q + 14 = 2. Which is the nearest to -1? (a) q (b) -5\/2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17*g**2 + 2*g - 3*g**4 - 15*g**2 + g**4 - 4*g**3 + 2*g**3.\nAnswer: -2*g*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**2 - 13*a + 8. Let y(q) = -12*q**3 + q**2 + q - 1. Let t be y(1). Let h be j(t). Let v be 208\/h + 2\/7. Is 0 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62227\/119 at most 523?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*h**4 + 706*h**3 + 3*h**2 - 12317*h wrt h.\nAnswer: -48*h**2 + 4236*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3119*f**3*w**2 - 4*f**3 - 3*f**2*w**2 - 3*f*w**2 + 3372*w**2 wrt f.\nAnswer: -18714*w**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.033 + 0.303. Let k = -0.03 - r. Let s = 505 + -503. Which is the closest to 2? (a) k (b) -0.5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77 - 13*z**2 + 31 + 11 + 35.\nAnswer: -13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + -2 + (-18)\/(-3). Suppose -4 = -o*d - 0. Let y be (3 - 0)*d\/(-1). Let x(n) = -2*n**2 - 4*n. Give x(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*s + 5*s + 18, 0 = 4*s + 2*v + 44. Sort s, 8, -4 in decreasing order.\nAnswer: 8, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*o**2 + o**6 - 38*o**4 + 38*o**4 wrt o.\nAnswer: 120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-35)\/5 + (-12 - 4). Let u(b) = b + 21. Calculate u(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*n**2 - 564*n**2 - 233*n**2 to d + k*n**2 + m*n and give k.\nAnswer: -839","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-209*g**2 + 164*g**2 + 194*g**2)*(36 - 5 - 11)*(-2*g + 1 - 1).\nAnswer: -5960*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-60)\/(-14) + 4\/(-14). Suppose -5*p + 32 = -18. Suppose 0 = o*l - 6 - p. Solve -2*k + 4*b + l + 2 = 0, 3*k + 5*b = -35 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a + -1a6?\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*h**2*w**3 + 3*h**2*w**2 + 36*h**2*w - h*w**2 - 13*w**3 wrt w.\nAnswer: 84*h**2 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 105, 101, 87, 57, 5, -75?\n\"Answer: -d**3 + d**2 + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of 1\/8*v**4 - 14*v**2 + 1\/24*v**6 + 1\/6*v**3 + 0*v + 1\/15*v**5 + 0. Let p(z) = -z**3 - z**2 - z. Determine l(a) + 4*p(a).\nAnswer: a**3 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3098 by 28.\nAnswer: 1549\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 * 0.2.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (8 + (-9 - -8))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and -9483.\nAnswer: -9484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 809.7775 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = 95*x + 32529 - 931197. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 + 0 - (9 - 11) - (-58 + 51)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 581 - -9a52c?\nAnswer: 9aab0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/2)\/(17*9\/(-6))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1cb6b (base 15) to base 13.\nAnswer: -3385a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 + 13. Sort 1\/3, s, 4.\nAnswer: s, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((6 - 4 + 5)*(-2 - 8 + 7) - 3 + 3 + 2)*(501*m - 501*m - 302*m) as d*m + j and give d.\nAnswer: 5738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5\/61546 + 2739597\/9847360. Find the common denominator of c and 47\/128.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 k when two letters picked without replacement from {o: 2, b: 3, f: 1, k: 6, c: 7}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 2\/7, 2, 0, 8?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.1639 plus -0.3?\nAnswer: 33.8639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/2784 and 13\/3264?\nAnswer: 94656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jeej.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 314 and 12874?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -30 - 22d5?\nAnswer: -2315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 146738329 - 146678694.0081. Let n = -59687 + g. Let j = n + 52. What is j rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -228654811, -228654810, -228654809, -228654808, -228654807?\nAnswer: -228654806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 5*c**2 + 7*c - 1. Let q be i(3). Solve k - 14 = -5*b - q, -4*b = -8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -291 + 291 - 848*k**2 + 428*k**2 + 418*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 654 is divided by 143.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*v**6 + 407*v**4 - 25*v**2 - 407*v**4 wrt v.\nAnswer: -1200*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 119 - -49. Suppose 5*t - 4*c = -0*c + q, 4*t = 4*c + 132. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29439*p**3 - 81*p**2 + 8270111.\nAnswer: -88317*p**2 - 162*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 396 - 394. Suppose m + 2*m = 4*y + 81, -17 = -m - w*y. List the prime factors of m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 790\/687 + -1851314\/1602771. Let n = j - 221467\/32662. Find the common denominator of n and -59\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3462263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 134 + 581 = 0. Suppose n = 5*y + 2*x, -x - 149 = -5*y + 3*x. Let q = -15 + y. Solve 5*i = 3*j - q, 3*j - 2 = -3*i + 5*i for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22429.\nAnswer: 11, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((176\/(-18))\/(-22) - 642\/(-135)) + (1 - 5).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 - 47. Let t be a - (-1 - 0 - 1). Let n(i) = -i**3 - 4*i**2 - 4*i + 1. Determine n(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1469)\/(-210) + ((-650)\/210 - -3). Is -9 <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + 140. Let b = -0.347 + -164.743. Let p = q + b. Round p to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66 - -122. Suppose 5 = -x + 2*k, x - 3*k + 1 = -3. Let w = 133 - x. Calculate the greatest common divisor of w and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 10. Suppose -4 = -c*l + 8. Solve l*x = 2*x - 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2282568 (base 10) to base 2.\nAnswer: 1000101101010001001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -4\/15*k**3 - 2\/25*k**5 + 0*k - 62 + 0*k**2 - 3\/10*k**4. Factor r(i).\nAnswer: -2*i**2*(i + 1)*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + u + 137 = 0, 4 = -3*u - 11. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 12:03 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -128 or -253\/2?\nAnswer: -128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j + 6*j + 6 = -2*r, -3612*j - 15 = 5*r - 3617*j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/23, -7, 1014, 0.1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-15))\/((-128)\/640)*6\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/5588676 and 19\/20.\nAnswer: 27943380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - -19. Suppose -9*h + 102 = -w. Suppose 17*c - h*c = 15, 0 = 4*t - 3*c - 45. Calculate the remainder when 18 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/4588 - -10007\/3812628. Which is the second smallest value? (a) -2\/9 (b) h (c) 2\/5 (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (2 + 4 + -4 - -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 567 + -494.1. Let i = -73 + p. What is the smallest value in i, 5, 1\/5, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 857 - 856.8. Which is the biggest value? (a) p (b) -12 (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0*k - 21 = -3*t, k = t + 1. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -47. Let s(f) = -48*f**2 + 15*f + 23. Let r be s(k). Round r to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 68068, 67708, 67344, 66976, 66604, 66228?\n\"Answer: -2*h**2 - 354*h + 68424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 670775?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3.5, 4, -2\/17, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 140 - 139.815. Let d = -0.115 - p. What is the closest to -1\/8 in -0.5, 0.2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 3:55 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w + 1. Let j be d(-6). Suppose 12 - 2 = 5*k. Suppose 0 = -5*y + 5*b - 5, 0 = 3*y + 2*y - k*b - 4. Solve y*s = j*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*2*(-165)\/(-66).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -10*b + 4. Let p(l) = -11*l + 5. Calculate -4*d(z) + 3*p(z).\nAnswer: 7*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17.5 - 17.485. Let l = t + 4.985. Which is the closest to 0.1? (a) -10 (b) l (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 1. Let z(i) = -2*i**2 - 1. Let r(x) = -3*g(x) + z(x). Let t = -6 - -9. Suppose 4*d = -t - 5. Determine r(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/7*9*8*(-7)\/(-42)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -14 + (99 - (-4257)\/(-43)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 2*b**2 - 1\/60*b**5 + 0*b - 3\/8*b**4 - 7 - 4\/3*b**3. Let g(y) be the second derivative of a(y). Give g(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 9. Suppose -4*d - 2*l = 12, -2*d - b = 3*d - 2*l. Let w be ((-3)\/d)\/((-3)\/(-40)). What is the highest common factor of w and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 4*t**2 - 8*t + 9. Calculate m(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 2*t + 40. Suppose -3*o + t = 2*o. Suppose 3*g - 24 = 72. Calculate the highest common divisor of o and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7366?\nAnswer: 2, 29, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -4*w - 124, -5*i - 2*w = -2*i + 8*w + 19 - 221 for i.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(12)\/((sqrt(24) - -5*sqrt(24))\/sqrt(4)) + 3*(sqrt(4)\/(sqrt(128) + (3*sqrt(128) - sqrt(128)) + sqrt(2)))**2.\nAnswer: 6\/625 + sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17240 - -17240.1. Let f = 3.02 + -3. Let o = -33 + 163\/5. Which is the closest to k? (a) o (b) 3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 1\/3*i**3 + 1 - i**4 + 1\/2*i**2 - i. Suppose -7*w + 142 - 135 = 0. Determine a(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of -z**5\/12 + 85*z**4\/24 - 2*z**2 + 12*z. Find w such that o(w) = 0.\nAnswer: 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2 + 16*a - 28. What is w(-5)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1092\/1735193 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**35*l**(-5\/3)\/l)\/(l**19\/l**(1\/4)))**(-43) assuming l is positive.\nAnswer: l**(-7009\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2 - 5*h. Suppose 82 = 13*s - 22. Let d(c) = 3*c**2 + 8*c. Determine s*k(o) + 5*d(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + x + 139 = 0, -x = -3*k - 2*x + 211. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 (base 9) to base 13\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8583.854746 rounded to the nearest integer?\nAnswer: 8584","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 1:28 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 101*o + 114. List the prime factors of n(9).\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 1. Suppose 3*w = -w - d + 11, -4*d - 24 = -w. Let k(u) = 2*u + 0*u + 3 - w*u. Let t(l) = k(l) - 5*z(l). What is the first derivative of t(g) wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -354, -302, -248, -192?\n\"Answer: k**2 + 49*k - 404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11794493 (base 10) to base 11\nAnswer: 6726417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/(-44)*1683\/(-306)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c**3 + c**2 + 2*c. Let r(o) = 3*o**3 + 2*o**2 + 2*o. Calculate 2*j(a) - 3*r(a).\nAnswer: -a**3 - 4*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/18662 and -95\/688.\nAnswer: 149296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, -3, 1.4995635?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ast when three letters picked without replacement from ztapsdsp?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1890930053?\nAnswer: 1193, 1585021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79178529?\nAnswer: 3, 19, 1389097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 3, t: 1, h: 6, r: 8, y: 1}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.1 - 1.1. Let j = -96 + 93. What is the nearest to -0.1 in 3, t, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b - 2. Let p(u) = 3*u + 3. Let h be (99\/(-297))\/(2 - (-46)\/(-24)). What is h*p(i) - 5*k(i)?\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-330)\/(-220)*4\/46*(-4)\/(-6)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1137 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(52) - (-2*sqrt(13) + -3)) + 2 + (sqrt(832)*-2 - sqrt(832))*2 + sqrt(832) + 0.\nAnswer: -36*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -j**4 + 22*j**3\/3 + 4. What is the third derivative of z(i) wrt i?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**3 - 4*l**2 - 2*l. Suppose 0*v + 1 = v. Let c(m) = -m**3 - m**2. Let t = 156028 - 156031. Determine t*c(h) + v*j(h).\nAnswer: h**3 - h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + n = 12. Let p be (n\/(-6))\/((-7)\/(-21)). Suppose p*m = 4*m - 10. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -121?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 0*u - 9 = -t, -5*u + 13 = -3*t. Suppose -3*c - 1 = -v, -3*c - 4*v + u = -2. Solve 6*g - 2*g + 18 = -3*l, c = -5*l - 5*g - 25 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/13475 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 31 * -13080.3\nAnswer: -405489.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1.5 (b) -3\/8 (c) 2\/5 (d) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 6*d = -742. Let u = -256 - d. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*x + 12 = 4*x, -s + 3*x = 9. Suppose 0 = -6*y - s + 6. Solve y = -2*w + 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -0.2, 4, -2\/9.\nAnswer: -2\/9, -0.2, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1591 + -0.2409. Let x be 3*(1 + (-50)\/54). What is the closest to f in 1\/4, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*c + 4*f + f, 0 = 5*f. Let j(r) = 2*r**2 - 28*r - 21. Let a be j(c). Let w = 25 + a. Solve w*n = -0*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -59 + -1488a0?\nAnswer: -148929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1715 - 1672.84. Let j = a + -45. Let f = -2.840173 - j. What is f rounded to five decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5160 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 625.9421 and -2982515.\nAnswer: -2981889.0579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -76?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and 1779490?\nAnswer: 1779486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 17610 divided by -25\nAnswer: -3522\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-4)\/(-8))*4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 + 44. Suppose 0 = -6*s + r*s + 2437. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*(9\/6 + -3 - 0). Let f(c) = -c**3 + 5*c**2 - 5*c + 3. Let h be f(3). What is the greatest common factor of t and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 28*t**2 - 32*t + 81. Let s be b(29). Find the common denominator of 19\/6 and (s - 3444\/(-1088)) + 4 + -1.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, -1\/3, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -13*t**2 - 812*t + 3. Let a(q) = -23*q**2 - 1629*q + 5. Give 3*a(y) - 5*u(y).\nAnswer: -4*y**2 - 827*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1570489569 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u*u**(-1\/2)*u*u\/(u\/(u**(-7)\/u*u)*u))\/((u\/(u\/(u**(-1\/5)\/u)))\/u**(4\/5)) assuming u is positive.\nAnswer: u**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12595630*v - 12595689*v = 2824 + 1483 for v.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-9)*(-3)\/9. Let h = 0.24 - -0.06. Sort h, c, 1\/6.\nAnswer: c, 1\/6, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134280854 + -153.9.\nAnswer: -134281007.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 229*j**2 + 1298*j - 1298*j + (-2*j + 0 + 0)*(-j + 0*j + 0*j) in the form s + t*j + h*j**2 and give h.\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91 + 87 + 3*z - 275 + 97.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -4, -666*j - 3*x + 3215 = -662*j. What is the remainder when j is divided by 138?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6118994 to the power of 1\/2, to the nearest integer?\nAnswer: 2474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 f when three letters picked without replacement from {a: 1, i: 3, g: 3, f: 4}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12381 rounded to the nearest 100?\nAnswer: 12400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -16.6 times -629\nAnswer: 10441.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1022\/438)\/(546\/(-216))?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r - 12. Let x be j(-9). What is the highest common divisor of 636 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1247*l**6 + 7*l**2 - 3*l wrt l.\nAnswer: 149640*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - -1.1. Let o = 7.4 + -1.4. Let g be -401 + 400 + 48\/30. Put -2\/9, o, v, g in increasing order.\nAnswer: -2\/9, g, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 6*t**3 + 2*t**2 - 2*t**2 + 11.\nAnswer: -6*t**3 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2849 - -56933\/20. Calculate the common denominator of -67\/488 and y.\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 100690 to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 3, k = 5*f + 218 - 1219. Calculate the greatest common divisor of 25 and f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/1789164 and -9\/4.\nAnswer: 1789164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*y - 3151 + 731 = 0 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -28 + -1 + 14 - (46 + 0)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - -1. Suppose 0 = 3*i - m*i + 33. Calculate the smallest common multiple of 3 and i.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 163323 and 160167.\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y. Let a be k(4). Let o be (-2)\/((a\/(-2))\/2). Suppose 0 = 2*q + o*n - 4, -5*q - 3*n = -3*q - 2. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 46381\nAnswer: 1\/46381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from snssssnsssss.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -2. Let i(f) = -2*f + 1. Let b be i(-1). Suppose -q = 3*p + b, 2*p + 2*q = -0*p + 2. Sort 3, n, p in descending order.\nAnswer: 3, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*y + 0*y - 40*y)*(19861*y - 9684*y - 1 - 9769*y) to the form x*y**2 + j + b*y and give x.\nAnswer: -13056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-7716)\/3215)\/(8\/(400\/(-3)))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 849.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 - 37. Let r be -2 + 13*(-4)\/8. Is r equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 r when four letters picked without replacement from {e: 2, h: 6, r: 2, i: 3}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 346.983281 to one dp.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 2392.4.\nAnswer: -239.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-35) + 240\/(-210) - (1 + 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.2 - -3.2. Let q = 2\/55 + 4\/11. Which is the biggest value? (a) h (b) q (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -133*n - 49111. What is x(-367)?\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -5*z + h, -4*h = z + 2 + 10 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0 + -7 + (-12 - -9)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 13 = 9 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1134873 + 1134871.0999985. Let x = j - -1.9. What is x rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -15624?\nAnswer: -15624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - c**2 + 8 - 3*c**2)*(5*c**3 + 3023 - 3023).\nAnswer: -20*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - v + 2. Let c be j(1). What are the prime factors of (-100)\/6*(-6)\/c - 3?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mkm when three letters picked without replacement from xhkxmhhkmxhkkhhkxk?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*m**3 - 18*m**3 + 7*m**3.\nAnswer: 19*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 2:20 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + sqrt(7) + sqrt(7)*5 + 5 + (sqrt(7) - sqrt(28)\/sqrt(100))**2).\nAnswer: -18*sqrt(7) - 411\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/((-351)\/(-9))*(-6)\/(-10)*-2*-35.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*q + 10 = 0. Solve -7 - 3 = -q*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68334758.\nAnswer: 2, 257, 132947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-114954411)\/(-15) + (-6)\/15. Suppose h - c = -463607. Suppose 4*f - h = 2*b, -4*f + 10800020 = -3*b - 0*f. Round b to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -9*h**3 - 64*h**2 + 11*h + 2. Let c(l) = -5*l**3 - 31*l**2 + 6*l + 1. What is 11*c(o) - 6*t(o)?\nAnswer: -o**3 + 43*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - 30. Is (231\/(-14))\/(3\/c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2046.7 - -1429.7. What is the closest to -2\/5 in v, -1\/8, -5, -2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/70)\/((-22)\/(-220))?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 1 = 11. Let t(p) = -p**2 - 5*p - 3. Let n be t(i). Solve n = -y - 2 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a hour in seconds?\nAnswer: 12960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 897?\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**40)\/y**(-40)*((y**(4\/7)*y)\/y)**40 assuming y is positive.\nAnswer: y**(167\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/6*(-3)\/(-12)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 69986269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29364993 and 932222?\nAnswer: 58729986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 times 7\nAnswer: 0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32350475*y**2 + 2130006*y + 5 wrt y?\nAnswer: 64700950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 76137 or 1152?\nAnswer: 76137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41141.\nAnswer: 41141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 123*-723.066\nAnswer: -88937.118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -425*f + 13. Let z be q(5). Let c = -1305 - z. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15374 by -5.\nAnswer: 15374\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (41\/21 + 108\/(-54))\/(2\/12). Which is the closest to -0.3? (a) -0.076 (b) 9 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 11*h - 1. Let a be w(5). Let d be ((52\/8)\/(-1))\/((-7)\/(-280)*-130). Calculate the highest common divisor of a and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 140794.5l?\nAnswer: 140794500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + h - 86 = 0. Find the third derivative of -69*m**5 + h*m**5 + 12*m**2 + 6*m**2 wrt m.\nAnswer: 1020*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 8. Let f be (1 - m)*(0 + -4). Suppose -w = -0*w - f. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-10 + 4 + 4 - -9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (-11 + 23)) + 13\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -v**5\/360 + 7*v**4\/144 - v**3\/6 + 5*v**2 + 100. Factor f(z).\nAnswer: -(z - 6)*(z - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**4\/3 + 2150494*r**3\/9 + 876120*r**2 + 637176*r - 2867296\/9 = 0.\nAnswer: -358412, -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 4*s**2 + 2*s + 2. Let v be o(-5). Let u(j) = 23*j - 234. Let f be u(12). Let c = f + v. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3995?\nAnswer: 5, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1625297012?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -75 + 147. Calculate the least common multiple of 8 and s.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t. Let a(j) = -5*j + 1. Let x(p) = -2*a(p) - 9*z(p). Let f be x(6). Solve 11 = -3*n - f*q, 3 = -n - 4*q - 14 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27878464 to the power of 1\/4, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in 0.3, -4, 4, -302, -629?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 84*p - 67*p - 85 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11253 (base 8) in base 12?\nAnswer: 2923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 770 + -5391\/7. Which is bigger: u or -9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/47275, 2, -2\/9, -1\/3 in increasing order.\nAnswer: -1\/3, -2\/9, 2\/47275, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1084572810 to the nearest integer?\nAnswer: 1027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 2 (b) -153 (c) 77\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 27\/5 of a milligram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 24. List the prime factors of h.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 1:55 PM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.363 + 0.037. Sort q, -0.2, -4, 0.8 in increasing order.\nAnswer: -4, -0.2, q, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/21)\/(252\/(-13965)))\/((-25)\/15).\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 49 = -o + 132, -2*o = d - 29. Is d a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**2 - 78*a + 568. Calculate y(-44).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*w - 89719198 = -89719423 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1, -18132, 5, -171?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 92?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 312.23 - 605.565. Let z = -0.335 - t. Let p = z + -292.99999793. Round p to 7 dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (24\/(-10))\/((-840)\/(-1050)) - 3*-6. Suppose -2*a = -5*s + 16, -5*a + 0*a = -s - 6. Solve 7*b - v = s*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 + 62. What is the greatest common divisor of 14 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 4*z - 5*z)*(-4 + 6 + 3) - 6*z + 2*z + 2*z + 1 + 2*z - 1.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30342, 59281, 88220, 117159, 146098?\nAnswer: 175037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (1 + -16)*12. Suppose 4*b = 2*r + q, 4*b + 5*r - 149 = 3. Calculate the remainder when b is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1102001 (base 3) to base 11.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 13*c**3\/3 - c**2 + 3*c - 3. Let v be l(-3). Suppose 4*a = 2*g - v, 0 = g - 6*g + a + 351. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/19, 44, -3, 3\/4, 0.012, -1.8?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 12 + 2\/(4\/(-6)). Let z = -9 + o. What is the third biggest value in -3\/8, z, -1\/6?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*a + 3792 = 2112 for a.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -113*c + 4. Let k(v) = v - 1. Give -4*k(d) - m(d).\nAnswer: 109*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((36\/(-30))\/(-3))\/((-13)\/5)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + -0.6. Is -1\/2 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 - 11 - 668*o + 41 - 14 to the form s + z*o and give z.\nAnswer: -668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*l**2 - 62920*l - 9897316 = 0.\nAnswer: -1573\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**4 + 200*d**3 - 3480*d**2 - 144160*d + 300560.\nAnswer: 5*(d - 26)*(d - 2)*(d + 34)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*f - 5. Find the second derivative of i**5 + f*i + 0*i - 4*i**5 wrt i.\nAnswer: -60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -f**4\/12 + 11*f**3\/6 + f. Let q be u(7). Suppose o = 3*d + q, o + d = -3*o + 73. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by 422?\nAnswer: 7\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s - 3 + 3 + (-4*s - 4*s + s)*(0 - 1 + 0) + (3 + 3 - 4)*(3*s - s + 0*s).\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -578, -577, -576, -575, -574, -573?\nAnswer: -572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-7) - 20\/(-7). What is the third derivative of -15*m**3 - t*m**4 + 9*m**3 - 29*m**2 + 12*m**3 wrt m?\nAnswer: -72*m + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 y when two letters picked without replacement from qqqqhyqyqyggyq.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**3 - 21*u**2 - 7*u - 39. Calculate r(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/176 and 123\/80.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of 4\/21*i**3 + 3\/7*i**2 + 1\/42*i**4 + 0 + 15*i. Factor b(d).\nAnswer: 2*(d + 1)*(d + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -35*f**2 - f. Calculate l(1).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 3*g - 8, 9*g + 12*g + 107 = -22*p + 18*g for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6342270 divided by -96095.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 8*v**2 - 11*v + 1. Let q be i(10). Let l = 258 - q. Suppose -h - w = -6*h + l, -3*w + 43 = h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1870\/3 - 624. Sort 0.3, w, 0.4, 125 in descending order.\nAnswer: 125, 0.4, 0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -402736643294946?\nAnswer: -402736643294946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 27\/4 of a microgram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 4.170082km?\nAnswer: 4170082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**4\/12 - 2*z**3\/3 + 295*z**2\/2 - 7*z. List the prime factors of n(0).\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - v + 2*v + 10 = 0, 4*h = 5*v + 26. Suppose 7 = 3*z - 17. Solve -h*s - z = 12 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -19*i**2 + 1\/2*i**5 + 14*i - 4*i**4 + 25\/2*i**3 - 4 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of r**3 - 1. Let q(s) = 3*s**2. Suppose 3*n + 4*a = 7, 3*a = 9 - 15. Calculate n*q(f) - 4*m(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 300367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -8 + 108 + 172*q + 45*q + 0. Is g(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c*g**5 + 55*c*g**4 - 131*c*g**2 - 2*c*g + g**5 wrt g?\nAnswer: 60*c*g**2 + 1320*c*g + 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30072927*f**3 + 22707400*f**2 wrt f?\nAnswer: 180437562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g**3 - 3*g**3 + 2*g**3)*(66 - 66 - 17*g) as h + m*g**2 + u*g**4 + y*g + z*g**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -83*o**3 - 21*o**2 - 86*o + 2. List the prime factors of r(-4).\nAnswer: 2, 3, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.604789 + 27.604734. Let k = -24 + q. What is k rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 + 3*j**2 + j**2 + (10 - 2 - 4)*(-2*j**2 + 0 + 0).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = f + 2*y, -3*y = 16*f - 12*f + 1 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*d = 83*d - 105. Let i be (-8)\/(-3)*d\/14. Sort i, -2, -31 in decreasing order.\nAnswer: -2, i, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - (-1 - (-2 - -2)). Suppose r - 3*z + n = 0, -r + 3*r - 18 = -2*z. Suppose 5*j + r = 3*o - 31, 3 = 2*o + j. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqtotvtqqhzh. What is prob of picking 1 t and 1 v?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(363) + (sqrt(363) - (sqrt(363) - ((-3 + sqrt(363))**2 + 5))) - (3 + 1*sqrt(363) + sqrt(363))**2) + 0) + 2.\nAnswer: 561*sqrt(3) + 3254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3832*g - 819746. Give m(214).\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3\/4 - 112473*h**2\/2 - 674865*h\/4.\nAnswer: 3*h*(h - 74985)*(h + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 28 = 5*g - 2*q, g + q - 2 = 0. Suppose -4*d + 30 + 15 = g*n, 5*n - 2*d = 15. Solve u - n*u - 16 = 4*p, 0 = -2*p - 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1206 by -603.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5990.339 or 2\/7?\nAnswer: -5990.339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 3*(sqrt(14)\/sqrt(2))**2)*5 + ((1 + sqrt(112) + 3)*6)**2.\nAnswer: 1152*sqrt(7) + 4718","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 210 + -210. Let m be 2 - f - -11 - 2. Solve -m = -3*x - w, -5*x = 5*w - w - 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1026, -1011, -986, -951, -906, -851?\n\"Answer: 5*a**2 - 1031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -1 + 1 + 6 + -1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**3\/5 - 5998*x**2\/5 - 1296*x + 288000 = 0.\nAnswer: -16, 15, 3000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + 92\/6)\/(42\/18). Which is smaller: k or 8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 1:45 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9549489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.77 times 0.29?\nAnswer: 7.7633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.05 - -1.98. Let h = q + -0.03. Sort h, 0.5, 5 in decreasing order.\nAnswer: 5, h, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -3, 367, 20, 11, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**4 - z**4 + 2*z**4)*(-7 - 6*z + 65*z - 7*z + 26*z).\nAnswer: 156*z**5 - 14*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9336 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*w + 22*w + 69*w - 35*w = 0. What is c in 6\/5*c - 9\/5*c**2 + w + 3\/5*c**3 = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-4) + 9\/4. Suppose 5*t = 5*h - 80, -q*h + 42 = -4*t + 6. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1151694738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34683 and 64111?\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 5*k - 424, -5*k + 260 = -2*k + p. Let x = k + -87. Let r = -36 - -45. What is the greatest common divisor of r and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64.916 - -0.084. Let n = r + -75.4. What is n rounded to 0 dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 688?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.9, -25, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -16. Suppose -4*i + 20 = k. Suppose 0 = -i*w - 1 + 16. Solve w*r - 13 = -0*r + 4*f, r + 9 = -5*f for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -q**3 - 6*q + 3*q**3 + 0*q**3 - 1. Suppose -30 = 2*o + 5*o - 2*o. Let z(w) = 2*w**2 - 2. Calculate o*t(f) + 17*z(f).\nAnswer: -2*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -4*s + 2*v - 24, 0 = 2*s - 4*v + 12. Let r be (5\/3)\/((-2)\/(-12)). Let a = s + r. Solve a*b - 10 - 6 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/5, 1\/3, 3, 2\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*n - 63*n + 24559. Let p = n + -7789\/13. Let u = 3.1 + -3. What is the closest to u in 0.3, p, -2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r - 9. Let s be a(3). Let b be (-3 + 3)\/s + 2. Solve 3*j + j + t = -24, b*t = 2*j + 2 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -495 = -5*s - w + 679, 4*s = -w + 940. Suppose -2*g - 3*g - 465 = 0. Let i = s + g. Is 18 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101684941217+-5\nAnswer: 101684941212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22798 less than 22798?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((((d**(-2\/7)*d*d)\/d)\/d)\/d))**(-11)*(d**(3\/5)*d)\/d**3)\/((d**(1\/2)\/d)**6*(d**(-2\/3)\/d*d)**(-49)) assuming d is positive.\nAnswer: d**(-5902\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78)\/585 - (-9)\/30?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -14\/5, 2, -6, 247, 3\/4?\nAnswer: 247","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/(-2)*16576\/(-160). Find the third derivative of 19 - 2*u**6 + 516*u**2 - 15*u**6 - z*u**2 wrt u.\nAnswer: -2040*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -3*w + 5\/3*w**3 - w**2 + 0. Is g(1) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzezezzeez. What is prob of picking 1 z and 3 e?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(3*16\/(-816))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-240)\/(-150) - 4\/(-10). Let l(r) = -r**m + 24*r**2 - 36*r**2 - 1. Let u(h) = -3*h**2. Give u(l(f)).\nAnswer: -507*f**4 - 78*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153350 and 42060838.\nAnswer: 6134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 212489 to the power of 1\/2, to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**3 - c + 4. Determine w(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00788 rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*j**2 - 129*j**2 - 130*j**2 as w + i*j**2 + r*j and give i.\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -13.6. Which is bigger: b or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7\/3, -74, -5616?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 169469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.695 + -4.695. Let i = 1 - -4. What is the nearest to 1\/4 in i, a, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1216 (base 7) in base 2?\nAnswer: 111000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-65)\/(-25) + 2\/5. Let a be -4 - (-1 + -6 + m). Suppose a = -6*b - 2*b. Solve h - d + b = -3, 0 = -5*d + 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*y = -309 + 3065 - 281 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 + -39.5. Which is the third biggest value? (a) 0.1 (b) i (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-25) - (-504)\/(-120).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**2 - 1 + m**3 - 4*m**3 - 3*m**4 + 6*m**3 to the form a*m**2 + q*m**4 + o*m**3 + t*m + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -5. Let c = y + 7. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from tthhttht?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 4:28 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (16 - 2) + -8 + -8?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.688032 times 8\nAnswer: 5.504256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*j - 42*j = -54 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 12 = 3*v, 0*i - 2 = -3*i - 5*v. Let t = 51 - i. Suppose -r = 2*r - t. Does 19 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -685 - -685.2. What is the closest to v in -1\/2, -4, 2\/13, 1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**27\/m*m))\/m**(1\/40))\/(m**(2\/33)*m**(1\/6)) assuming m is positive.\nAnswer: m**(-11551\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of 5*i**4\/12 + 620*i**3\/3 + 38440*i**2 + 958*i. Determine y, given that l(y) = 0.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 59579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.51839 rounded to 3 decimal places?\nAnswer: -0.518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l + 49*l + 2*l in the form n + f*l and give f.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 0.25, 2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/2)\/(1\/(-22)). Let y = 581\/745 - -3\/149. Which is the fourth smallest value? (a) 1 (b) g (c) -0.2 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ot when two letters picked without replacement from {t: 1, k: 1, j: 1, m: 2, l: 1, o: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250718?\nAnswer: 2, 13, 9643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 762*k + 2300. Give x(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.8 - 1.8. Let d = 1.46 - -0.04. Let w = d - a. What is w rounded to one dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 184966 * 6.\nAnswer: 1109796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**5*w**2)**(2\/9)\/(w\/(w**(-3)*w)*w\/(w\/w**(-4\/3))*((w*w**(1\/4))\/w)**(-48)) assuming w is positive.\nAnswer: w**(107\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from npxxjkhjjnxjjkjjx. Give prob of sequence jnx.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 985476 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - o = -2359, -2*o + 2 = -0*o. Suppose -k = -6*f + 4104. What are the prime factors of f?\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 224547970 and 4010?\nAnswer: 4010","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vl when two letters picked without replacement from {j: 1, m: 1, r: 2, v: 10, l: 3}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18149720 and 6176.\nAnswer: 1544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5737, -11482, -17205, -22894, -28537?\n\"Answer: 2*u**3 - u**2 - 5756*u + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 0.38834?\nAnswer: -5.61166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -4*p - 20, 2*p + 435 - 425 = -2*j for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 3)*1 + (-315)\/(-75)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0184 to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 4, -1\/4, -1\/10, 5, -17168?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -344 - 916 = -28*t. Suppose 0 = -10*n - t + 15. Sort n, 3, 4 in descending order.\nAnswer: 4, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -256.7519 and 0.3.\nAnswer: -77.02557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + (-2004)\/141)*(-4)\/297. Let v = 2\/517 + j. Which is the nearest to 3? (a) v (b) 0 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l + 42 = 445. What is the remainder when 123 is divided by l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*5*(-1 + ((sqrt(275) - (2 + sqrt(275)))**2 - sqrt(275))).\nAnswer: -100*sqrt(11) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 1 - 0) + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9392, -37568, -84530, -150278, -234812, -338132, -460238?\n\"Answer: -9393*y**2 + 3*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2304799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 11, a: 1}. What is prob of sequence uu?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 136216?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 8*t**3 - 1. Let g be p(-1). Let f = 5 + g. List the prime factors of -1 + (-19)\/1*f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2 + 1 + 14*g - 15*g - 3. Let k(b) = -8*b**2 - 1 + 1. What is k(l(q))?\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 k when two letters picked without replacement from {k: 1, y: 17}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(847)*5)**2 - -4*(0 + sqrt(28)\/sqrt(4) + sqrt(7)).\nAnswer: 118*sqrt(7) + 21176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(7) + (sqrt(84)\/sqrt(300))**2 + sqrt(7))*-1.\nAnswer: 21\/25 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*c - 3 = -6*c, 5*c - 3 = -q. Solve m = -q*m - 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/90*-3*(-24)\/(-68).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*y - 15*y**2 - 8*y**2 - 1 - 8*y**2 - 5*y**3 + 0*y**2.\nAnswer: -5*y**3 - 31*y**2 + 75*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*c = 35, -4*c - 187 = -3*o - 49. Calculate the remainder when 212 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 52*c - 41. Let m(v) = -13*v + 10. Let k(r) = 9*m(r) + 2*x(r). Let y be k(-8). Suppose -2*i + 206 + y = 0. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s - 76. Let b be g(-30). Calculate the least common multiple of 4 and b\/6 - (-35)\/(-105).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23729?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 174 - 27. Let w = -51 + u. Put -4, 6, w in descending order.\nAnswer: 6, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1dad (base 14) to base 8\nAnswer: 12505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5160*r**2 + 47*r - 124. Is s(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8990282 by 3.\nAnswer: -8990282\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 10*r - 19. Let h be w(-7). Suppose n**2 + 7*n**2 + 5*n**2 + 5*n - 8*n**h = 0. What is n?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g**3 + 0 + 0 + (2 + 3*g - 2)*(-2*g**2 + 3*g**2 - 3*g**2) + g**3 - 2*g**3 + 0*g**3)*(1 - 1 + 2) to t*g**2 + a*g + h + r*g**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98668, 96506, 94346, 92188, 90032, 87878?\nAnswer: 85726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a**3 - a**2 + 2. Let w(n) = -13*n**3 - 2*n**2 + 6. Let g(j) = 7*b(j) - 2*w(j). Calculate g(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 14) in base 3?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3794\/17 - -417697\/1870. Find the common denominator of n and (2 - 0) + (-52)\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1 + (1 - 2 + 3)*(1 - 1 - 2) + (-2 + 3 + 1)*(0 + 0 - 4))*(46*o - 3*o - 5*o).\nAnswer: -532*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 0*k**2 + 7*k + 3 - 4\/3*k**3. What is the first derivative of j(p) wrt p?\nAnswer: -8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*k - 1, 0 = -k + 19*v - 13*v - 40. What is p in 1\/2*p + 1 - 1\/2*p**k = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3679428245.\nAnswer: 5, 227, 14281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-42)\/(-35))\/((-6)\/(-10)). Let p be -33 - (w + -3 + 3). Does 3 divide ((-60)\/(-50))\/((-1)\/p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 82 + -82.17. Let z = 2 - 2.2. Which is the smallest value? (a) -3 (b) z (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*s**3 + 2*s + 4*s**2 + 17*s**3 - s**3 + 4 + 16*s**2 - 6 to h*s + x + i*s**3 + k*s**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14052?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (3 - ((-7 - -5) + 6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -138*b**7\/7 - 367*b**6\/8 + 346*b**5\/3 + 2735*b**4\/24 - 5*b**3\/3 + 4*b**2 - b + 952. Suppose j(i) = 0. What is i?\nAnswer: -2, -1\/3, 1\/276, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 54 = 3*y. Let u = 25 - y. What is the smallest value in -2, 0, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/8 and 37\/28028.\nAnswer: 56056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**4 + c**2 - c**2 + (-2396*c**3 + 1341*c**3 - 3817*c**3)*(0 - c + 0).\nAnswer: 4874*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 + 5*x**4 + 0*x**2)*(9 - 4 + 4) + x**4 - 2*x**4 + 0*x**4 + (-4*x + 2*x + 0*x)*(0*x**3 - x**3 + 0*x**3).\nAnswer: 46*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - 4)*1\/(-3). Suppose 4*x = -d*c + 7 - 23, -20 = -c + 5*x. Let k = 43\/3 - 14. Is k not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 228*v**2*y**3 + 3*v**2*y**2 - 14*v*y**3 - 42*v*y**2 wrt v.\nAnswer: 456*y**3 + 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 407 (b) -0.3 (c) 2\/11 (d) -2\/15 (e) 2\/13 (f) 3 (g) -1493\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s - 2. Let m be j(-5). Suppose -4*i = -2*a + 3 + 37, 0 = 9*i - 33 + 114. Solve 0 - m = -a*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 51416\nAnswer: -3\/51416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41639 - -41639.0005536. Round s to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 5388, 29\/3 in decreasing order.\nAnswer: 5388, 29\/3, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**3 + 38*x**4 - 1 + 7 - 40*x**4 + 1 + x**2 to the form i*x + m*x**4 + n + v*x**3 + u*x**2 and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(9\/3)*20\/(-12).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -c99?\nAnswer: -c94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -39\/4 (b) -241\/2 (c) 5 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2098, 657, -784?\n\"Answer: -1441*l + 3539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4818 + 15925. What are the prime factors of w?\nAnswer: 29, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/240 and -53\/240?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (136\/(-17))\/2 - -13.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -10, 7, -22, -3, 3.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 576, 4, -568, -1140, -1712, -2284?\n\"Answer: -572*s + 1148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2 + t - 1. Let i be g(0). Is 28 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 10020.\nAnswer: 40080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 261*h - 53443. Determine k(-396).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 329883599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -984924 minus -63009?\nAnswer: -921915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18.68 + -0.32. Let l = h + 24. Put 0.1, -4, 2, l in increasing order.\nAnswer: -4, 0.1, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -83 + 327*x**3 - 94*x**3 - 9*x**2 + 1246*x**3 + 9*x**2 + x wrt x?\nAnswer: 8874*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 765017.\nAnswer: 11, 17, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23.9 - -20. Let l = 1.1 - s. Let h be 1\/4 - (-21)\/(-4). Sort l, 1, h.\nAnswer: h, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b + 15*b + 7450 = 8374. Let t be 42\/4*2 - -1. Calculate the greatest common divisor of b and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k - 12. Let m be q(13). Solve -m = l + 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/5*(-40)\/60*12\/16.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2312 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-1*(sqrt(180) - (sqrt(180)*-2 + -2)) - ((sqrt(180) - (-1 + sqrt(180) + (-2*sqrt(180))**2 + sqrt(180))) + 5 + sqrt(180)*3).\nAnswer: -102*sqrt(5) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 3, a: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 12 + 28. Suppose -2*d + n*d = 3*o - 54, 0 = 2*o - d - 35. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and -53.3896009?\nAnswer: 49.3896009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 887?\nAnswer: 1\/887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1214759 is divided by 44.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.079 (b) -6 (c) 16\/2335\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*t - t - 11*t to i*t + y and give i.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*7\/15*(-4)\/(-28)*-8.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -106307 + 225306. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 110 - 374 = -7*g - 0*r, 5*r + 0 = 9*g - 328 for g.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 463247611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -91, -175, -257, -337?\n\"Answer: l**2 - 87*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-6))\/5*4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -54a94 - -416?\nAnswer: -5467a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2782*y**2 + 5*y - 16. Let v be s(2). Let k = v - -3745. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 8*q**2 + 6*q. Calculate the remainder when 29 + (-2)\/((-4)\/(-4)) is divided by a(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4829 - -4829.2. What is the smallest value in o, 4\/9, -925?\nAnswer: -925","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 12:56 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-574)\/(-70) - 477\/53. Let x = 9 - 8.2. Put x, 5, 0.4, u in increasing order.\nAnswer: u, 0.4, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 452*p + 331*p - 785*p - 2.\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 f when two letters picked without replacement from pprrrrfpr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 6*r**2 - 6*r + 3. Let y be q(5). Is (83\/(-2) + 0)*y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 2:01 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**5 - 1160*o**4 - 23776*o**3 - 167404*o**2 - 460254*o - 422604 = 0.\nAnswer: -559, -9, -7, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2. Let x(t) = -4*t - 663*t**2 + 4*t + 1016*t**2. Give x(j(u)).\nAnswer: 1412*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence th when two letters picked without replacement from {n: 2, r: 1, h: 2, e: 1, t: 1, c: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2503 + 838 = -13*a. Let w = 428 + a. Let j = 363 - w. Is j a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 510\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2533.4 + 2533. Which is the nearest to -2\/5? (a) -2 (b) 18.6 (c) u (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15221, 120410, 405527, 960536, 1875401, 3240086?\n\"Answer: 14994*j**3 + 231*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/19, 1, -4, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/7 and 6\/(-351)*492\/8.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttq when three letters picked without replacement from qqqqtqqqtq.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83, -135, -177, -203, -207?\nAnswer: -183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 97*a + 252. Let u be m(-3). Suppose 9 = 3*c, 3*w - 5*c + 3 = -129. Is u at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 0) + (-57120)\/1785\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.058 - -0.119. Let h = 0.061 - f. Let i be 2\/(-15)*-1*5. Which is the nearest to i? (a) -2 (b) 2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1140)\/6)\/(-5) + 3. Let y = -36 + u. Suppose -y*a - 3*o = -2*a - 288, -4*o - 316 = -3*a. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 1:54 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 6*y**2 - 1. Suppose -2*s + 23 = -41. Let c = s - 28. Let k = 10 - c. Determine i(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1068\/14 + 2\/(-7). Let j = o - 54. Suppose 4*k - j = -5*g, -g + 10 = -k + 2. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -13. Does 2 divide 6\/w*11\/((-132)\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.994 + 6.094. What is the nearest to r in 0.4, 2, -0.071?\nAnswer: -0.071","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 7*f - 5*f)*(0*f**3 + 0*f**3 - 2*f**3)*(0 - 2 + 0).\nAnswer: 12*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-6))\/(22\/(-44)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 5*m**4 + 1940*m**3 - 202975*m**2 + 400110*m - 199080 = 0.\nAnswer: -474, 1, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*y + 168 = 546 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/19, -0.4, -33, -0.0945, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15543 and 1099.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 172.555 - 0.555. Let r = -161 + w. Which is the second smallest value? (a) 5 (b) 1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -69994, -68043, -64798, -60265, -54450, -47359, -38998, -29373?\n\"Answer: -z**3 + 653*z**2 - z - 70645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 - 117699944*d - 1731659602200392.\nAnswer: -2*(d + 29424986)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1309347 and 3?\nAnswer: 1309347","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.151 rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/4 and -50\/399?\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 94?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -22032?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 378, 837, 1312, 1803, 2310, 2833?\n\"Answer: 8*g**2 + 435*g - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221022012221 - -10?\nAnswer: -221022012211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - 165.9.\nAnswer: -188.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 + 37. Suppose -4*w + 3*a = w + 10, 0 = -w - 3*a - 2. Let h(r) = -6*r - 6. What is the least common multiple of h(w) and y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sjambaabmaawaawma. Give prob of picking 1 a and 1 s.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(9\/((-9)\/2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 5*h**2 + h + 11. Let x be z(5). Let k = x + -14. Solve 0 = 3*n - 4*f - 10, -k*n + 7*n + 5*f = 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -140, -151, -162?\n\"Answer: -11*d - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -377.951 - 1462231\nAnswer: -1462608.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -279, 6, 256 in ascending order.\nAnswer: -279, 3, 4, 6, 256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = c + t + 11, 3*t + 18 = 3*c. Suppose 0*s + 3*s + 9 = 3*i, 0 = 5*i + c*s - 5. Solve -5*x - 8 = -x + 2*f, -i*x - 4 = 4*f for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 + 0*l + 0*l)*(-4*l - 2*l + 2*l) + 3*l**4 - l**4 + 0*l**4.\nAnswer: 10*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -343 less than or equal to -343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a millimeter in micrometers?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36170 = 3049*x - 3088*x + 126655. What is the highest common factor of x and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 2*y - 3 + 4)*(0*y - 3*y**2 + 0*y) - 11*y**3 + y**3 - 4*y**3 + (0*y**3 + y**3 + 0*y**3)*(-3 + 0 + 2).\nAnswer: -21*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, i: 4, s: 2, a: 1, c: 3}. What is prob of picking 1 s and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -125 by -25.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 5*f**2 - f + 1. Let v = 15 + -20. Calculate the least common multiple of 4 and n(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (-2 + 3 - 5). Suppose i - 3*z = c*i - 8, 0 = 2*z. Let a = -0.06 - 0.04. Is a less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2400)*4 - -5*(sqrt(168)\/sqrt(7) + sqrt(24)))\/(5*(sqrt(768) + (1*sqrt(768) - sqrt(768))) + sqrt(768)*2*1))**2.\nAnswer: 625\/392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/286638 (b) 2 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -1\/2*x**3 + 0*x**4 - x + 1\/30*x**5 + 0 + 0*x**2. Let h(o) be the second derivative of r(o). Give h(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of 3*s**4\/4 + s**3\/6 + 2*s - 25. Let v = -285 - -284. Give z(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -1.114?\nAnswer: 4.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2 - 7*t + 8. Let g be 3\/15 + -5 + 6\/(-5). Calculate k(g).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85 - 19 - 18 + 4*c**2 - 22 - 22 - 20.\nAnswer: 4*c**2 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 448 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -309*q - 1. Let a be m(-10). Suppose -l + a = 5*t, -t = 3*l - l - 6160. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 32 = -g, -3*g = -21*y + 26*y + 80. Let l(j) = 6*j**2 + 34*j - 1. What is the hundreds digit of l(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*k - 4 = 0, -3*h + 2 = -4*k - 18. Suppose -22 + 34 = -h*c. What are the prime factors of c + 1 + 1 - -81?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a century in months?\nAnswer: 3400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00020035997 to six dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of 83*g**3\/3 - 11*g**2 - 1339*g - 1716. Find the first derivative of z(w) wrt w.\nAnswer: 166*w - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 q, and 1 l when four letters picked without replacement from tqlnnnnnnqtltxx.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -813?\nAnswer: -814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -242935 + 11?\nAnswer: -242924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2759 and 985?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 + 8 - 4)*(3*z**3 + 4*z**3 - 5*z**3) - 28*z**3 + 17*z**3 - 55*z**3 in the form m*z**2 + f*z**3 + t*z + a and give f.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -488419*m**3 + 16192698*m?\nAnswer: -2930514*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 73.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96768 and 5913?\nAnswer: 21192192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -59691, -238774, -537277, -955200, -1492543?\n\"Answer: -59710*d**2 + 47*d - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a0 (base 14) to base 13.\nAnswer: -aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*u**2 + 6*u**2 + 0*u**2)*(-5*u + 2 - 2) to the form s + y*u**2 + l*u + z*u**3 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -105.09 - -105.096533. Round o to 4 decimal places.\nAnswer: 0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*p**5 + p**2 - 58*p.\nAnswer: 1680*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5718, -11512, -17306, -23100?\n\"Answer: -5794*h + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19 + 100?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d - d - 49*d - 35*d + 79*d - 29.\nAnswer: -6*d - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -23067, -92204, -207433, -368754, -576167?\n\"Answer: -23046*z**2 + z - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 24*n + 33. Determine s(-25).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 104559 and 21448.\nAnswer: 836472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 925 - 1322. Is -398 smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5*a**2 + 3*a + 6. Let c be (-3)\/12 - (-9)\/4. Let i(w) = -w + 3*w**2 - 2*w**c - w**2 + w**2 - 1. Give 4*i(n) + x(n).\nAnswer: -n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -6*a**2 - 12*a - 15. Let z(o) = 5*o**2 + 14*o + 14. Let p(b) = -3*j(b) - 4*z(b). Calculate p(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 37 + 74. Let m = 22 + s. Is m a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**2. Let o(r) be the second derivative of -r**4\/4 - 5*r. Give o(l(s)).\nAnswer: -27*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 32 - 22 = 0. Suppose 5*u - 23 = 3*d, 4*d - 5 = -s*u - 1. Suppose -q = -u*q - 5*r + 268, r = -1. What is the highest common divisor of q and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**3\/3 + 680*v**2\/3 + 19712*v + 75264 = 0. Calculate v.\nAnswer: -168, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (a - 4*a + 5*a + (4 + 1 - 4)*(a - 4 + 4) - 2*a - 2 + 2)*(-1241 + 3*a - 13*a**2 - 27*a**2 + 1243) as c*a**3 + q + v*a**2 + z*a and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 792*g**2 - 4*g - 119. Let z(h) = 264*h**2 - h - 45. Give 3*n(x) - 8*z(x).\nAnswer: 264*x**2 - 4*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 824 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.27 + 0.23. Let x = 0.1 + -1.1. What is the nearest to 1 in x, 1, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 6*q + 420. Let o be 6\/15*10\/2. Suppose o*x - q = -x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**3*c**(-7\/5)*c*(c**(2\/3)\/c)\/c*c*c\/(c\/(((c\/c**8)\/c)\/c))*((c**(3\/5)\/c)**(-8\/5))**48 assuming c is positive.\nAnswer: c**(1799\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 195946007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4089\/46 + 13781\/598. Let a = 66 + k. What is the nearest to -2\/5 in 0.2, a, -2\/15, 6?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -1. Let q be 2 + c\/(-8) - (-3)\/(-6). Let w(j) = 4*j**2 - 1. Let t be w(q). Solve -2*x - 11 = 3*v, -4*x - 19 = t*v - 0*x for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 6:20 AM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 + -58. What is the first derivative of 2 - 1 + 10*u**x + 3 - 3 wrt u?\nAnswer: 30*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -k**6\/75 + 7*k**5\/25 - 61*k**4\/30 + 28*k**3\/5 - 36*k**2\/5 + 99*k - 2. Factor j(r).\nAnswer: -2*(r - 6)**2*(r - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-3)*q))\/(q\/(q\/(q**(-34)\/q)))*q*q*q**(-24)\/q*q*q*q\/(((q\/(q*q**(2\/13)))\/q*q)\/q))**(13\/5) assuming q is positive.\nAnswer: q**(249\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 g, and 1 i when three letters picked without replacement from iyiqygigiigqei.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from odddood.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-3\/7)*t)\/t**(2\/3))**(3\/29))**50 assuming t is positive.\nAnswer: t**(-100\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 70, 123, 176, 217, 234?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1046*c**3 + 62 - 63 - 1069*c**3.\nAnswer: -23*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 349\/260 + -6\/65. Solve z*w**3 + 1\/2*w**2 + 0*w + w**4 + 1\/4*w**5 + 0 = 0 for w.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - -297. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16699 is divided by 56?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 + 5 + -2 - 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 20 = z, 2*z + 516 - 551 = 5*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 13 = -h - h - 0, 0 = 3*f - 27 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -143 (b) 3\/2 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -0.4, 2.7, -4, 2\/65, -6 in descending order.\nAnswer: 2.7, 2\/65, -0.01, -0.4, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(100\/(-16)) + 1479\/35 + -43\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11912*g + 5958*g + 5957*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.283809 + -1.283879. Let q = 8 - m. Round q to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17644797 is divided by 1022?\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -99 in 0.2, 3\/5, -4\/19, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 60*s**4 + 3*s**3 + s**2 - s - 6. Let v(c) = c**3 - 2*c. Let l(t) = -h(t) + 3*v(t). Find the second derivative of l(f) wrt f.\nAnswer: -720*f**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*((0 - 2*b**3 + 0)*(2*b + 0*b - b) + b**4 + b**4 + 4*b**4 + 19*b**4 + 3*b**4 + 13*b**4 + (-b**3 - b**3 + 4*b**3)*(0*b + 4*b - 2*b)).\nAnswer: 86*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -4*v - 2, -v + 49 = -5*o + 45 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22\/5, -5, -279\/4, 3, -3\/4 in descending order.\nAnswer: 22\/5, 3, -3\/4, -5, -279\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 7:30 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -173971533*l**6 - 2*l**3 + 7*l**2 + 10483945 wrt l.\nAnswer: -20876583960*l**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*p**4 - 90*p**3 + 52844*p**2?\nAnswer: -480*p - 540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.35 and 24007280461.\nAnswer: 24007280461.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.08 + -0.22. Let u be ((-3)\/12)\/(2\/32 + (-420)\/(-960)). Which is the closest to u? (a) 0.04 (b) s (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4902, 9813, 14718, 19611, 24486, 29337?\n\"Answer: -m**3 + 3*m**2 + 4909*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c + 7 + 3*c - 3*c + 2*c. Let z be s(-9). Let r be ((-2)\/6)\/(6\/18). What is the closest to -1\/2 in z, r, 2\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 484 and 19482100?\nAnswer: 214303100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*r + 1265068, 368*t = 364*t - 4*r + 1265012. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 234 divided by -78.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 578?\nAnswer: 1156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 182201 (base 10) to base 4.\nAnswer: 230132321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13135 - -1?\nAnswer: -13134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 17196018, 17196014, 17196010, 17196006, 17196002?\n\"Answer: -4*i + 17196022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.076 + -0.002. Let q = f + -4.922. Which is the third biggest value? (a) -1\/7 (b) 4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**11)**38 assuming m is positive.\nAnswer: m**456","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -570 divided by 2.\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.03 - 0.43. Let w be 7\/((-34)\/(-6) - 6). Let q be ((-3)\/(-2) + -1)*(25 + w). Which is the fourth biggest value? (a) 2\/5 (b) -1 (c) g (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 - 1411*r + 4 + 2)*(27*r - 27*r - 11*r**2 + (0*r - 3*r + 2*r)*(-2*r - r + 2*r)).\nAnswer: 14110*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (44\/(-6) + 2)*1065\/1988 and 56\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 388 = -66*t + 322 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3749719?\nAnswer: 241, 15559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 683*c**3 + c + 3. Let o be b(2). Suppose o = 7*a + 646. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-10)*(-45)\/3. Let k = -10 + i. Which is smaller: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/4)\/((-6)\/8). Let m be 2 + -2 + 0\/g. Let n be (-2 + 0 - m) + 15. Calculate the greatest common divisor of n and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -91 + 57. Let r = 70 + -107.4. Let u = w - r. Round u to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**5 - 1132306*a**4 + 582*a**2 + 4*a + 355?\nAnswer: 120*a**2 - 27175344*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iaaffxufipuffaa. Give prob of sequence au.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1440864.\nAnswer: 2, 3, 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w - 29*w + 243*w = -52*w. Let u(k) be the first derivative of 1\/3*k**3 + w*k + 13 + 0*k**2. Let c(a) = -8*a. What is c(u(f))?\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (12\/1)\/(-10 - -8).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105669481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, l: 3, q: 1}. What is prob of picking 4 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 1. Is 0.5 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**9*x)\/(x*x*x**(-2\/29)))\/((x*x**(1\/2))\/(x*x**(-1)\/x*x)) assuming x is positive.\nAnswer: x**(439\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 + -0.1. Let b = -17 - -12. Let a = -7 - b. Sort 1, a, s.\nAnswer: a, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -r**2 + 0*r**5 - 11 + 0*r**6 + 2*r + 1\/3*r**4 - 2\/21*r**7 + 0*r**3. Find the third derivative of i(n) wrt n.\nAnswer: -240*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -417 at most -2\/1227?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 0.0673\nAnswer: -0.3365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (5 - (7 + 9) - -11)) + 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 7*l**2 + 2*l + 13. Calculate y(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**3 - m**3 - 3*m**3 + 4*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*f**4 - 3*f**2 + 1 + 13*f**4 - f**4 + (0*f**4 + 3*f**4 - 4*f**4)*(-1 + 0 + 0).\nAnswer: 20*f**4 - 3*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-180)\/(-21) - 18\/(-42). Suppose w = 5, q - 4*q = -3*w + t. Suppose q*h + 25 = 7*h. Calculate the remainder when 24 is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25565 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 6*y**3 + 3*y**2 + 8*y - 25. What are the prime factors of i(3)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = q + 3*q - u, -5*q = -5*u - 35 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1016*c**3 + 754*c**2?\nAnswer: -6096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10\/39? (a) 0 (b) -0.1 (c) 2\/4323\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of 1\/30*t**6 - 1\/6*t**3 + 0 - 27*t**2 - 1\/3*t**4 - 1\/12*t**5 + 0*t. What are the prime factors of b(4)?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1267444883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of d**4\/24 - d**3\/6 + 11*d**2 + 5*d. Determine p(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((78*42\/2730)\/((-27)\/230))\/((-6)\/54)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-7)\/(z\/z**(-6\/7))*z**(-9)\/(z**(-16)*z))**41 assuming z is positive.\nAnswer: z**(-820\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4872, 4822, 4770, 4716, 4660?\nAnswer: 4602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) - -6*sqrt(170)*3)\/(sqrt(10) + -1*-3*sqrt(10)).\nAnswer: 19*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40932 and 1895?\nAnswer: 204660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/4)\/((-72)\/(-9))*-4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 67257161 to the power of 1\/2, to the nearest integer?\nAnswer: 8201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 8, w: 1, b: 8}. Give prob of sequence bw.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48861, -93123, -137373, -181605, -225813?\nAnswer: -269991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 994502*o**2 + 2*o - 2 - 994033*o**2 + 1 to the form p + d*o**2 + s*o and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.54396567 - -0.6556767. Let v = 25.88828347 + p. Let h = v + -25. Round h to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 1 = -4, 88 = 3*v + u. Suppose -33*t = -v*t - 4. Determine o, given that 2\/7*o**4 - 4\/7*o**t + 0*o - 2\/7*o**3 + 0 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 407 - 189 = -43*u - 298 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3752 - 3752 - 6*q + q + 18*q - 7*q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03112845 rounded to 3 decimal places?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 69, 115, 183, 279?\nAnswer: 409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.813661 tonnes in milligrams?\nAnswer: 3813661000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 394*s + 30 + 113 + 645 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 12:20 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - -7. Let y = -225 + 326. Suppose -21 + y = f. What is the highest common factor of f and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/12517433 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/21 + (-228)\/(-28). Find the first derivative of -5 - q - 1 + 3*q + i*q wrt q.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 37 - ((-3 - 5) + (13 - -17))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0429 - -0.0829. Sort 64, 3, u in descending order.\nAnswer: 64, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -4*r + 2. Let o = 16 - 4. Suppose 0 = -4*j - 2*i - o, 4*j + 5*i + 9 = j. Which is bigger: j or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4459*i**2 - 207*i**3 + 637*i**3 - 4459*i**2.\nAnswer: 430*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227 = -5*o - 62. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -3*h**4 - 9*h**3 + 3*h**2 + 9*h = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8895492211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1776)\/259 - 6\/(-7)) + 165\/(-60)?\nAnswer: -35\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 627218.12 - 627209.8600539. Let l = 8.26 - x. What is l rounded to six dps?\nAnswer: 0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160704 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*7\/(-81)*(-18)\/(-8).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -6733*n + 1 - 4124*n - 2 - 1183*n + 2 in the form x*n + p and give x.\nAnswer: -12040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-15))\/1*-3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 35. Suppose -4*r = 4*k - 24, 3*k + 4*r = k + a. Calculate the common denominator of (87\/16 - k)*-2 and 77\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-two fifths of a milligram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**2 - 643*u - 2*u**2 + 1306*u - 50 - 655*u - 2*u**3 to n*u + z*u**3 + y + g*u**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1986.378 kilograms to nanograms.\nAnswer: 1986378000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68871 and 129?\nAnswer: 2961453","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.11 and 510.\nAnswer: 56.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2205 = -8304. Is u\/5 - (-10)\/25 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 19*s**2 + 270*s - 270*s. Let x(n) = 4*n**2. Calculate x(c(a)).\nAnswer: 1444*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(5\/2)\/b*b*b**(-6)*(b**(-1\/5))**(-1\/13) assuming b is positive.\nAnswer: b**(-453\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 40767184753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of n**4\/4 - 7*n**3\/3 + 5*n - 21. Let d(c) = c**3 - 3*c**2 + 2. What is -7*d(j) + 3*i(j)?\nAnswer: -4*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of t**6\/40 - t**5\/6 - 2*t**4\/3 + 9*t**3\/2 - 41*t**2. Does 15 divide h(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**2 - 4*s**2 - 6*s + 4 + 0*s + 5*s**2 as z*s + g*s**2 + f and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58 and 255867?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -2 (b) -16 (c) 3 (d) 2.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1229 - 1227. Which is the smallest value? (a) n (b) -11 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (4 - (-3 - 2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1240)\/248*-1*2\/1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -312*c + 68. Let d(p) = 155*p - 34. Let x(a) = 5*d(a) + 2*n(a). Is x(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 10, 4*i - 9 = -3*r + 5. Let y(h) be the first derivative of -2*h**4 - 4\/3*h**3 - 1\/3*h**6 - 4*h + 5*h**2 + 8\/5*h**5 - i. Factor y(z).\nAnswer: -2*(z - 2)*(z - 1)**3*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 b when two letters picked without replacement from isiiiisaiaisibisi?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 9, -4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-45))\/(-1*(-2)\/(-6))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.4 (b) -4\/5 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -8, -3, 0, 1\/16, -27.\nAnswer: -27, -8, -4, -3, 0, 1\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 17*w**2 - 61*w + 72. What is b(-9)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 - 19. Suppose 3*m - 9 = 3. Solve -4*n = c + 18, -3*n = 5*c - m + p for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26975)\/(-166)*2\/(-15)*(-15 - -18)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6454689, 6454691, 6454693, 6454695, 6454697, 6454699?\n\"Answer: 2*y + 6454687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 90 - 168. Let r be (6\/4)\/(13\/g). Let a be r\/(-2)*8\/(-12). Sort a, -2, 4 in ascending order.\nAnswer: a, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/6 - 35*g**2\/6 + 275*g\/6 - 625\/6.\nAnswer: (g - 25)*(g - 5)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f + 34 = -19*f. Suppose -16*j = -f*j + 1. What is the highest common factor of j and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r + 5*r + 169 = 0. Suppose -8*q + 15 = -r*q, 572 = 5*j + q. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 26*z**2 - 2*z + 64. Give t(26).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -52*o**3 - o**2. Let b be a(-1). Let i(v) = 4*v**3 - 2*v. Let j be i(-2). Let s = j + b. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -1, -182\/201?\nAnswer: -182\/201","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.596 rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-586)\/2051)\/(11\/(-7))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*x + 4 = 2, -2*x - 10 = -2*r. Let t(p) = 6 + 0*p - 6 - r*p. Let i(b) = -b. Give i(t(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.1, -1, 2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 111000122002201?\nAnswer: 111000122002211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2442 + -6141. Let t be ((-8)\/(-6))\/(((-24)\/b)\/4). Let o be 2\/6 + t\/18. Calculate the greatest common divisor of 69 and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 6*k + 3*k = 0. Solve k = 4*t - 10*z + 15*z + 21, -t = -2*z + 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -21 + 10 - 43161*v + 9 - 21 - 19. Let x be c(-2). Round x to the nearest 1000.\nAnswer: 86000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 + 2*b)*(0*b + b - 2*b) - 8 - 7*b**2 + 8 + 2*b - 2*b + 2*b**2 + (4 + 2*b - 4)*(3*b + 3*b - 5*b).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 4, 1\/4, -1\/2, -5\/4, -100?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 590 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 838 (b) 1.17 (c) 1 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 + 42. Let y be 13\/(-39) - (-11)\/d. Solve -3\/2 + 0*s + y*s**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.05 - -0.15. Let u = -4 + 5. What is the closest to u in 1\/10, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) -0.1 (b) 0 (c) -0.5 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**5\/5 + 5252*p**4\/5 - 98882*p**3\/5 - 479688*p**2\/5 = 0.\nAnswer: -4, 0, 23, 2607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.597 + 1.597. Let n = -9.35 + 1.05. Let i = 8 + n. Is i smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o + 0*o - o + 3*o**2.\nAnswer: 3*o**2 + 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -1\/4*s**4 + 0*s**6 + 0*s - 1\/28*s**8 - 26*s**2 + 0*s**7 + 0*s**3 + 0*s**5 + 0. What is the second derivative of a(p) wrt p?\nAnswer: -240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -60*g**3 + 23*g**2 + 23*g - 1. Let o be z(-1). Solve -13*t - 6 = o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5757?\nAnswer: 3, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -854282.235 to the nearest one thousand.\nAnswer: -854000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -22*x + 1691. Let d be u(77). Let w be -1 + 2 - (-2)\/1. Sort -1, d, 4, w in decreasing order.\nAnswer: 4, w, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*v**5 - 75*v**4 + 66*v**3 - 9*v**2 = 0.\nAnswer: 0, 1\/6, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 5 + 2)*(0*z**2 + 0*z**2 + z**2)*(-3*z + z + 3*z)*(-43 + 11 - 45)*(2 - 5 - 8) to the form y*z**2 + t + g*z + l*z**3 and give l.\nAnswer: -1694","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**3 - 3*t**4 + 18 - 5*t**3 + 2*t**3 - 25 to y*t**4 + l*t**2 + w*t**3 + i*t + j and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1040664.\nAnswer: 2, 3, 131, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**7*b**(-5) assuming b is positive.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1397.1 + 1264. Let s = c + 133. Let w be ((-1)\/20)\/((-2)\/5). What is the nearest to s in -1, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(2\/21))**(-35)*g**(-4)\/g*(g*g**(4\/9)*g)\/g)**12 assuming g is positive.\nAnswer: g**(-1508\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/4 - -15*570\/5400. Put -0.6, q, -1\/6, 0.2, 0.16 in increasing order.\nAnswer: -0.6, -1\/6, 0.16, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-94)\/(-4))\/(4\/8). What is the greatest common divisor of 329 and k?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 8, 5, 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*v - 11581 + 2009 + 3074 = 7722 for v.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -937*h - 30213 = 130*h + 52*h for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 1. Let h = 13 + -4. Suppose -r*c = -h - 6. Solve j + 4*f = 6*f + 1, 5*j = -4*f + c for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183201527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 + (1 - 5*-4). Find the third derivative of -g*w**5 - 70*w**2 + 124*w**5 + 128*w**2 wrt w.\nAnswer: 5880*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1327423962 and 822?\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 8)*1*13. Suppose 0*x - t = -x. Suppose 103 = y + l - 8, 0 = y - 3*l - x. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000025595649 rounded to seven decimal places?\nAnswer: 0.0000256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-5) - (-13842371218446)\/(-3686299120840). Let h = 13558\/7051609 - r. Let a = -1\/7468 - h. Find the common denominator of a and -19\/34.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*t**2 + 7*t**2 - 37*t**2 - 88 to the form y + z*t**2 + p*t and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y + 1. Calculate the remainder when 13 is divided by b(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.622 + 4.288. Let m = x - -0.09. Sort 3\/7, m, 2\/21 in decreasing order.\nAnswer: m, 3\/7, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 991.4554l in millilitres?\nAnswer: 991455.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20979.036ms to minutes.\nAnswer: 0.3496506","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 6899581.\nAnswer: 206987430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**8\/((b*(b**(-8)\/b)\/b)\/b*b))\/(b**(-1\/3)*b**(-2\/3)\/b) assuming b is positive.\nAnswer: b**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**2 + 44350*k - 177368 = 0 for k.\nAnswer: 4, 22171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3829243209?\nAnswer: 3, 11, 116037673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1943 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1135730 rounded to the nearest 1000?\nAnswer: 1136000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 553, 1375, 2521, 3985?\nAnswer: 5761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q = -31*q. Let p = 47\/496 + -1\/31. Is p at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 143.22164786 rounded to 3 dps?\nAnswer: 143.222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j + d, 3*j + 15 = 5*j + 3*d for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4*h - 12 = 0, 4 + 2 = -3*d + 2*h. Is 371 + 2 - d\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -7*z**3 + 5*z**2 - 5*z + 5. Let i = 1 + -9. Let o = -11 - -6. Let t(b) = 11*b**3 - 8*b**2 + 8*b - 8. Calculate i*f(x) + o*t(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.604 (b) -71 (c) 0.5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4914\/780)\/9*16\/21?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 522, 521, 518, 513?\nAnswer: 506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + sqrt(2057) + (sqrt(2057) - (-2 + sqrt(2057)))**2 + 2)*-2.\nAnswer: -44*sqrt(17) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 7:31 PM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 8:40 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*q - 67*q - 35*q + 48*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -392313067525259\/26104 + 15028848744. Let d = t - 2\/3263. Find the common denominator of 37\/18 and d.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 7:17 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*g + 3, 8*g - 3 = 4*g + 3*w. Let t(q) = -9627*q - 2*q**2 + 9627*q + g*q**2. Let m(s) = -197*s**2. Give t(m(l)).\nAnswer: -77618*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 232 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -393 + 393.11. Which is the smallest value? (a) o (b) 4\/3 (c) 1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58 + 60. Suppose 4*b - 2 = -y. Let o be (((-1)\/4*b)\/(-1))\/1. Solve o*f - 4*g = -2*f, -3*f = 2*g for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 11 - 2389*v**2 - 31 + 14.\nAnswer: -2389*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*x = 10. Suppose q - 15 = x*b, -11 = 2*q + 4*b - 1. Suppose 55 = 2*v - q*p + 4*p, 2*v - 5*p = 43. What is the remainder when v is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/17 (b) 1\/8 (c) 3136\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000064312 rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 54. List the prime factors of c(13).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*4\/36*9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5*x - 33. Give q(15).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 522?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 i, and 1 q when four letters picked without replacement from {i: 10, f: 3, p: 3, q: 4}?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*r = 37*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55010 and 165030?\nAnswer: 165030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1879 is divided by 45?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 56008, -3, -4 in ascending order.\nAnswer: -4, -3, -2, 56008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 22 + 10 = 0. Suppose -4*d + 0*d + y*w = -77, -4*d + 4*w = -72. Let m = 57 - -35. What is the greatest common factor of m and d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 67 = 23. Let g be 4\/(-22) + 52\/r. Suppose -g = -3*x + 32. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 6. Suppose 14 = -3*o + 86. Suppose 12*c - o = 6*c. What is the highest common factor of z and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 10:03 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 1894, -4, -0.5, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1698 divided by -566\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 47747 + -2?\nAnswer: 47745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 34*q**2 - 14*q + 663. What is g(-33)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 480 + -2?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k = 27 - 91 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, a: 5, y: 4, m: 3, q: 1}. What is prob of sequence mq?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of o**4\/2 - 4*o**3\/3 + 35*o. Let c(h) = 5*h + 2*h - 4*h**2 - 2*h + 0*h. Determine 8*c(r) + 5*n(r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2. Let v(m) = -91*m**2 - 26. Let s(x) = -18*x**2 - 5. Let w(d) = 26*s(d) - 5*v(d). Determine w(c(o)).\nAnswer: -13*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w**2 - 7. Let g = 2175 + -6524\/3. Let c(z) be the first derivative of -11 + g*z**3 - 3*z + 0*z**2. What is 5*c(a) - 2*h(a)?\nAnswer: -a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (-1 - 2\/1). Let p be 41 - (o + (-3)\/(-3)). Suppose -5 = -t + p. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 + 50. Let z = 73 + -64. Suppose -u = z*u - 170. Calculate the remainder when g is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8443*o**4 + 1050*o**3 - 2*o**2 - 437962006*o wrt o.\nAnswer: 101316*o**2 + 6300*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (14\/(-6))\/(5\/(-660)). Let x = z - -45. What are the prime factors of x?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3858713639\/777 - -4966163. Let g = -45\/7 - p. Do -1 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v + 38. Determine s(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5023*w = -4766*w - 363320 - 703681 for w.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-294))\/(64\/224)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1393 + 5*d - 1389 - 20*d)*(-4*d**2 + 4*d**2 - 2*d**2).\nAnswer: 30*d**3 - 8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/10 - 404\/(-10). Suppose 6 = k - c. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1827893909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/182434 and 9\/785.\nAnswer: 912170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72*b**4 - 75*b**4 - 9*b**3 - 1425*b**2 + 45*b**4 + 12*b**3 wrt b.\nAnswer: -2448*b + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -587914, -587947, -588016, -588127, -588286, -588499, -588772?\nAnswer: -589111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbnnvvbnivnbnnnvvnnn. Give prob of picking 1 n, 1 v, 1 b, and 1 i.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8870 + -8868. Let k = -3 - -6. Solve 4*d - 5 = -k*a - 3, 4*a + 12 = q*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 8, -2*h - 5*y = -4*h - 12. Suppose 3*r - 14 = h. Let i = -203 - -218. Solve 3*b - i = r*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7600 divided by -950?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n**(4\/5)*n)\/n))\/(n*n*n\/(n\/(n\/n**(-4)))))\/(n**3*n)**(-12) assuming n is positive.\nAnswer: n**(206\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 18*y**2 - 18*y + 24. Let d be l(-19). Suppose d*c - 3 = n - 1, 0 = 2*c - 2. What is the remainder when 5 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -16*k**2 + 12. Let h(l) = -34*l**2 + l + 26. Calculate -13*f(a) + 6*h(a).\nAnswer: 4*a**2 + 6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 34220 = 4*o, 0*o + 51322 = 3*i - 2*o. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -318765163 divided by 1?\nAnswer: -318765163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68886733 to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 30 + 37 + 3*h - 56. Let q = 56 - 61. Let t(b) = b + 5. Let y(j) = q*t(j) + 2*n(j). Calculate y(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 2480, -82, 1, -4, 3, -1 in increasing order.\nAnswer: -82, -4, -1, 1, 3, 9, 2480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -372 + 376. Suppose -10*n - 24 = -s*n. Put 2\/15, n, -0.08 in decreasing order.\nAnswer: 2\/15, -0.08, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 714\/272*960\/(-420). Let o(a) be the third derivative of -a**4\/4 + a**3 + a**2. Calculate o(f).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -17. Solve d*i - 22 - 3 = -5*k, -k - 3*i = -17 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69427061 a multiple of 222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 118*g - 122*g. Let l(r) = -4*r + 4. Let i be l(-4). Suppose -5*t + 140 + i = 0. Calculate the highest common factor of g and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*u**4 - 13*u**4 - 6*u**4 + 7*u + (-3 - 1 + 0)*(-u**4 - u**4 + 4*u**4).\nAnswer: -13*u**4 + 7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(3 + 3 + -3). Suppose 2*s + 2 = -0, -15 = u*m + 3*s. What is the units digit of 8\/12*(-54)\/m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 182 and 7332?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0)**(-1\/58)*i**0\/(i*i**(1\/4)) assuming i is positive.\nAnswer: i**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0*m + 594 = 2*i, -4*i = 3*m - 1191. Suppose 6*g = 135 + 45. What is the greatest common divisor of g and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -10. Which is the closest to p? (a) 1 (b) -5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44 + (86 - 40) + 0 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2869 + 3882 + 12*d - 12488 + 2871 + 2866.\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -46*l - 315. Give v(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.019530595 rounded to four dps?\nAnswer: -0.0195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14887854 and 9.\nAnswer: 14887854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 91.8 + -91.5. Sort a, -0.4, 5.2, 0.5, 1 in decreasing order.\nAnswer: 5.2, 1, 0.5, a, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -14. Solve 22 = 5*v + 3*q - p, v - q = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12147*n**2*t**4 + 253*n**2*t - n**2 - 19541855*n - 2 wrt t.\nAnswer: -48588*n**2*t**3 + 253*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20061558?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15397153*p + 52018093.\nAnswer: -15397153","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 2*z - 5*l - 25 = 0, -5*z - 15 = 3*l for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = 16*n + 71. What is the second biggest value in -0.5, -2\/29, n, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -73 - -65. Suppose 45 = 61*t - 16. Put 0, t, -4, p in descending order.\nAnswer: t, 0, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(180)*4 - sqrt(180)))**2*-1.\nAnswer: -25920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 + 22*c + 182. Give q(16).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 4*f + 3*f)*(2*f - 3*f + 0*f) - 2*f + 4*f - 3*f**2 - f**2.\nAnswer: -2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of d**2*i + 15011120*d**2 + 2*d + 19*i - 7517665 wrt d?\nAnswer: 2*d*i + 30022240*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millennium in months?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 252\/105 + (3 - (-51)\/(-15)). Suppose -69 = -5*f - i*u, 3*f - 18 = f + 4*u. Solve -15*s = -f*s + 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 0*s + 1\/4*s**3 - 1\/4*s**4 + 0 + 0*s**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -87.403911, 2, 5 in increasing order.\nAnswer: -87.403911, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**2 - 114*r - 183. What is the remainder when x(-51) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 15 = 3*j, 40*j = k + 12*j + 33*j - 49 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m**3 + 2*m**2 - 3*m - 3. What is z(-2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -5798.176 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23667 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of ((-16)\/2 - 57120\/600)\/((-4)\/180)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/20 + (-38)\/(-8) + -5.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -6 + 2025*n + 7*n**2 - 2025*n. Let q(y) = 6*y**2 - 5. What is -5*a(o) + 6*q(o)?\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-6)*12*1)\/1. Suppose n*q = -3*d + 19, 5*d - 20 - 4 = q. Solve -5*f - 3 = -3*c, -4*c + 5*f - d = -4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = g. Suppose -y = -g - 4. Suppose -2*h + 45 = 5*n, 1 = h - n - y. Calculate the smallest common multiple of h and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2.6 (b) 2.1 (c) 3\/7 (d) 46187\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 5)*(6*f + 2*f**4 - 6*f) - f**2 - 11*f**4 + 186 - 186 - f**4 - 4*f**4 - 2*f**4.\nAnswer: -16*f**4 - f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 48973320 a multiple of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1832158?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9051 is divided by 270.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2427 = 2*c - a, -c - 4*a + 798 = 0. Suppose 2416 = -22*p + c. Which is bigger: p or -70?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36495391433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 701324, 701325, 701326, 701327, 701328, 701329?\nAnswer: 701330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4514 - 4?\nAnswer: -4522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -634 + 470. Is -164 != q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of 0*z**3 - 1\/4*z**4 + 6*z - 1 - 2*z**2 - 1\/20*z**5. Give t(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4361649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -6. Suppose 4*s = 4 + 12. Suppose i = s*w - 38 + 6. Calculate the smallest common multiple of w and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express m**3 - m**3 - m**3 + (-5*m + 3*m + 3*m)*(-65 + m**2 + m**2 + 49) as c + r*m + i*m**3 + g*m**2 and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -2555 in descending order.\nAnswer: 5, -4, -2555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by -3\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 11 = o, -2*o + 14*d = 17*d + 17 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 357175.98 nanoseconds?\nAnswer: 0.00000000059056875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 63*h - 1000. Let a be z(16). Solve -a*b - 59 = -27 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 50 + 49 = 0. Which is bigger: a or -5\/29?\nAnswer: -5\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*i*k - 39*i + 11145*k wrt i?\nAnswer: -3*k - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**2 + 7. Let i(l) = l**2 + 1. Suppose -18 = 5*k + 4*x - 108, -7*k + x = -93. Determine k*i(q) - 2*a(q).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 5*r**2\/2 + 29*r - 3711. Give q(-12).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 + 40. Let m(k) = k**2 + 7*k + 10. Let y be m(-8). Let w = 14 - y. Which is the closest to 0? (a) w (b) -0.06 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -240440123 (base 5) to base 7\nAnswer: -12265422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 102\/459413?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25089, -7, 2, -2, -4, 0 in descending order.\nAnswer: 2, 0, -2, -4, -7, -25089","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4312224 divided by -3348?\nAnswer: -1288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 3*x**2 - 3*x - 2. Let v be m(4). Put -4\/3, v, 2\/15 in decreasing order.\nAnswer: v, 2\/15, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1497.8559 months?\nAnswer: 124.821325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -7*y. Let j(g) = 4*g - 2*g + 0*g - 7*g. What is o(j(i))?\nAnswer: 35*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 123, -58 in increasing order.\nAnswer: -58, -2, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 66*s + 58*s - 868 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390 is divided by 40?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -12\/2099?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -1\/2*m**3 + 3\/10*m**5 - 1\/2*m**4 + 0 + 6*m - 2*m**2. Is k(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2\/17)*b*((b\/b**(6\/11)*b*b*b)\/b)\/b assuming b is positive.\nAnswer: b**(437\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-18))\/((-2)\/(-4)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 20 (b) 0 (c) -1\/11 (d) -2 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from lololl?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, o: 4, r: 3, x: 2}. Give prob of sequence ob.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -120504 divided by -120504?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -73522\/657 or -112?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(10\/(-25))*(-180)\/900*82.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 299791761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -874 or -2623\/3?\nAnswer: -874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.98 take away 25226.3?\nAnswer: -25159.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 4 = -5*v - 7, 5*v - 2*l = -6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -25 (b) 10\/7 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.095, -0.276, 5.\nAnswer: -3, -0.276, 0.095, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37684*t - 3894 = 37625*t for t.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -8*(0 + 2)\/(-4). Suppose r*w + 0*w - 16 = 0. Suppose 0 = -w*l - 2*y + 56, 0 = -l + y + 4*y + 36. What is the least common multiple of 22 and l?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -80, -77, -68, -53?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 1. Let b(x) = -x**2 - 128*x - 4106. Let o be b(-64). What is the closest to 1 in o, q, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.808757 rounded to two dps?\nAnswer: 0.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -123*270\nAnswer: -33210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 691 (base 11) to base 6.\nAnswer: 3454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 divided by -27427.\nAnswer: -26\/27427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 5070878?\nAnswer: 5070878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -191300 rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1752 - -1840. What is the greatest common factor of 3212 and y?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 6*o. Suppose 4*z + 25 = 3*p, -3*p - z + 0 = -5. Let h = 46 + -37. Let u(r) = p*r + 3*r - h*r. What is u(q(d))?\nAnswer: -18*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*-1*(-3)\/9. Suppose 3*f = -u - u + 20, 0 = -4*f + k*u + 8. Suppose f*v - 2 = 6. What is the smallest value in -1, 0.3, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.127332 years in months?\nAnswer: 109.527984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2, 2*g + 14 = 5*w + 4*g. Suppose 3 = -5*n - 4*q, w*n + 3 = -n - 3*q. Suppose 0 = 4*d - 2*c - 12 - 12, 5*c = -4*d + 52. Solve d = -3*z - n for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-2)\/(-8) + (-231)\/(-44). Suppose -3*b = -2*g + 7*g + 5349985, k*g + 4*b + 5349980 = 0. What is g rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*j**2*x**2 - 56*j*x**2 - 477*x**2 wrt j.\nAnswer: -10*j*x**2 - 56*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 830936.8 days?\nAnswer: 71792939520000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1443 times -27\nAnswer: 3.8961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 1) + (-10 - -10) - 456\/(-60)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cvv when three letters picked without replacement from {v: 2, f: 1, c: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 h when three letters picked without replacement from {h: 5, r: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -164*f**3 + 20*f**2 + 12181*f?\nAnswer: -984*f + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -7. Suppose 0 = -w - 5*u + 8, -m*w + 2*u = -121. List the prime factors of w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13764 - 13764 + 1992*j)*(0 + 2 - 1)*(2 + 0 + 0)*(-4 - 4 + 2)*(2 - 4 + 1) to the form m*j + p and give m.\nAnswer: 23904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + (-781)\/789 + 0. Let b = g + 60673\/7890. Let x = -1071\/40 + 132\/5. Calculate the common denominator of b and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awaw when four letters picked without replacement from iairaaawiaaaawr.\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 106345898509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 times -91706?\nAnswer: -3026298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -11, 0.1, 1.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-4 - -5 - 4) + (-18 - -56).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24281 to the power of 1\/2, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-22)\/(-10) - 2\/10. Suppose -2040 = v - z*v. Suppose -4*c - v = -0*c. What is c rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8518, 17027, 25530, 34027, 42518?\n\"Answer: -3*z**2 + 8518*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01000172 to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-6))**(-19) assuming q is positive.\nAnswer: q**114","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*g - 52 = 97*g. Suppose -j - 49 = -5*h + 2*j, -g*h + 5*j + 47 = 0. Solve -h*m - 13 - 11 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 315 divided by 38.\nAnswer: 315\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 5*l + 11, 446 - 434 = 4*l + 2*u for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1724 is divided by 157?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**3 - b**2 - 11*b. Let c(x) = -x**3 - x. Give 6*c(n) - p(n).\nAnswer: -4*n**3 + n**2 + 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 14 = 3*k. Suppose -k = -0*o - o. What is the highest common factor of 7 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-5)*905\/(-181))\/(10\/(-6))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*z + 7, 5*k - 4*z - 13 = 0. Let c be 1*16\/(1\/k). Solve 3*n + m - 7 = n, -3*n + 4*m + c = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + h - 121, -3*h - 117 = -5*r - 0*h. Let n = 5403\/7 + -5234\/7. Let x = n - r. Which is the second biggest value? (a) 0 (b) -3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and -15 + 99 - (0 + -2).\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 14*g**2 + 31*g + 239. Calculate j(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 5, 2, -24?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*g = -13103 + 13467. Let f = 8 - 13. Which is the nearest to g? (a) 5 (b) f (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 146 + 289 + 13*t - 101 + 367 + 98*t with respect to t.\nAnswer: 111","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from onoonfonfooooofoooo. Give prob of sequence fnfo.\nAnswer: 13\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b = 8*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166*u + 564*u - 127*u - 70*u.\nAnswer: 201*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*j - 1523*j = -45024 for j.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 5. Let w be (-19 - -4)*h*1. Calculate the greatest common divisor of w and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**2 + 4*s**2 + 29 - 26*s + 18*s. List the prime factors of w(13).\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - (sqrt(136) - sqrt(136)*2))*-3 + -1*sqrt(136)*6)\/((-3*sqrt(648) + sqrt(648) - sqrt(648))*2).\nAnswer: 2*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1007897 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403 is divided by 80.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68425 and 8225?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and -0.1189336.\nAnswer: 1.0704024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 260431311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 + 4*d**2 - 4*d**2)*(1 - 7 + 3) + (-1 + 1 - 2*d)*(-14*d + 17 - 17).\nAnswer: 22*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-585)*-102 + 1. Is 0 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/86 + -269\/946. Let c(i) = i - 8. Let g be c(8). Is o smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + 58 + (-2 - -6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/47029819 and -37\/11.\nAnswer: 517328009","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 23 - -1 - -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/15 of a day?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3971616 is divided by 16614.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1280 or 5981\/2?\nAnswer: 1\/1280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*m + 59*m = -3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -67, -141, -307, -595, -1035, -1657?\nAnswer: -2491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4\/3, -0.04, 0, -4039, -3\/5, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -616.97 + 620. Let d = 0.03 - j. Which is smaller: d or 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3564 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -240*q**5\/11 - 84*q**4\/11 + 426*q**3\/11 + 324*q**2\/11 + 54*q\/11 = 0.\nAnswer: -1, -3\/5, -1\/4, 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27*((-38)\/(-6))\/(-19).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29.4 + -29. Which is the nearest to 0? (a) s (b) 0.2 (c) -51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**3 - 85*b**2 - 36*b + 3545. What is g(-41)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2518 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23111 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32.3 + -36.3. Which is the fourth smallest value? (a) -0.5 (b) j (c) -1 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 0) + -157 + 166 - (-3 - 8)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10000011011 (base 2) to base 12\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -323214623 + 484263405. Let s = f + -161048761.00000082. Let t = s - 21. What is t rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (159\/371)\/(12\/(-42))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 29 = -34. Solve w = x, -2*k = k - 3*w + 21 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3141 + 21751 = 5*c, 5*u = -3*c + 11185. Round c to the nearest one hundred.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5 = 2*z, 5*b + 4 = z + 5. Suppose 0*l - 4 = -l. Suppose 5*r + 25 = 0, -l*r + 0 - 25 = -p. What is the nearest to 8 in b, 0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 = -4*j - 17*a - 404, -j - 3*a = 76 for j.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7387, 7263, 7057, 6769, 6399, 5947?\n\"Answer: -41*k**2 - k + 7429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 912885 is divided by 13587?\nAnswer: 2556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(950) + sqrt(950)*1 + sqrt(950) + (2*sqrt(38) - sqrt(38))*-1)\/(4*-5*sqrt(32)).\nAnswer: -7*sqrt(19)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.015473 rounded to one decimal place?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*i**4 + 32*i**3 + 157*i**2 + 465965*i + 1?\nAnswer: 168*i**2 + 192*i + 314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -7*y**3 - 3*y**2 - 7. Let z(o) = 0. Calculate o.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-3)*(-9)\/2. Let q(z) be the second derivative of -z**5\/20 - 7*z**4\/12 - 4*z**3\/3 + 3*z**2\/2 + z. What are the prime factors of q(m)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/5 (b) -55\/6 (c) 0.09 (d) 4 (e) -47 (f) 0.4 (g) 2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 12:42 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 43686 and 0.88.\nAnswer: 38443.68","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 836604?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15403 and 2110?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -789 + 398 - l + 411.\nAnswer: -l + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1357523 to the nearest integer?\nAnswer: 1165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 12680669.\nAnswer: 2536133.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 78*x**6 + 2 - 36*x**4 + 36*x**4 + 0 - 4*x**2 wrt x?\nAnswer: 9360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/400 and 199\/122400.\nAnswer: 122400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -34.48 to 0 decimal places.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12196016*o**6 + 3*o**2 + 26152313 wrt o.\nAnswer: -1463521920*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 11691 - 17705. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13901933 and 1334?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 573839 to the power of 1\/4, 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 (-16)\/(-1160)*1*12\/72*-15?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/59 in -2, -202, -4, 0.1054?\nAnswer: 0.1054","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 5 - (-68 - -68).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -16 - 26. Let c be 12\/j + 172\/14. Let l(n) = n**2 - 4*n. Let y be l(6). What is the greatest common divisor of y and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 29615 = 10*b - 14*b, 4*b - 29630 = 2*n. List the prime factors of b.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98290304 and 45640?\nAnswer: 491451520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 881497056 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-6))\/((-7)\/(-63)). Is (-188)\/6*k + -3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9313318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/4 - (1 + -6). Let q(x) = -2*x**3 + 2*x**2 + 5. Let u(z) = z**3 - 2*z**2 - 4. Let y(o) = b*u(o) + 5*q(o). Let w be 1*8 + (-11)\/33*27. What is y(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/6)\/(p*p**0\/p*p))\/(p*p\/(p\/p**(1\/3))*p*p*p)**15 assuming p is positive.\nAnswer: p**(-397\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.277118 rounded to 0 dps?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -24*j - 10. Let r be v(-9). Let b = -132 + r. Suppose 0*y = 3*y + 4*i - 70, 3*y = -5*i + b. What is the lowest common multiple of 22 and y?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9200 and 40300.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 11. Suppose 4*o + 29 = 3*q, 4*o - 7 = -s*q - 1. Let k = q + -5. Calculate the greatest common divisor of 3 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -489812, -979523, -1469234, -1958945, -2448656?\n\"Answer: -489711*h - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14229478?\nAnswer: 2, 2551, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2599?\nAnswer: 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 9:34 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = w - 48. Calculate the greatest common factor of w and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**2 - 2004*y + 8032 = 0. Calculate y.\nAnswer: -2008, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (64 - 23) + -47 - (44 - -1)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.983 or 2.08?\nAnswer: 0.983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 306692064 and 3024?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12273 + 13332. Calculate the lowest common multiple of 3177 and s.\nAnswer: 3177","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3526225 is divided by 814?\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (274 - (138 - 10)) + -56\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2139, 3911, 5315, 6351?\n\"Answer: -184*h**2 + 2324*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1777174*c - 38*c**2 - 9 + 1777174*c)*(2 + 3 - 4) in the form i*c**2 + j + r*c and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -11) + -6 + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 10 = -5*f, 4 + 4 = -2*s - 4*f. Solve 3*c - 6 = s, 2*c = -3*b - 1 - 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4472 + 10835. Is t a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 182*u**6 + 2*u**3 - 230*u**2 - 3*u wrt u?\nAnswer: 21840*u**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 94079 divided by -5\nAnswer: -94079\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 12:31 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**3 - 4*h**2 + 2*h + 1. Let g be k(2). Let j(z) = -49*z - 18. Let l be j(g). Let s = l - -372. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 161 + -159. Let y be w\/(((-102)\/7020)\/17). Round y to the nearest 100.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 891?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**5\/9 - 2*f**4\/9 + 26*f**3\/9 + 12*f**2 + 15*f + 6 = 0?\nAnswer: -3, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24 in 6, -8, -3, -0.3, -3\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -110026\/13 (b) -4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 28 = -5*m, 2*m - 25 = 2*r - 7*r. Solve 3*k = -k - 4*y + 36, -m*k - y = -25 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 10*v - 11. Let n be d(8). Which is smaller: 7 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56365342 to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -4*q**4 + 16*q**3 - 16*q**2 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus -13366.1399?\nAnswer: -13366.6399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a8 (base 16) in base 14?\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*w**3*y**3 + 20630*w*y**3 - 2*y**3 - 261671*y**2 wrt w.\nAnswer: -33*w**2*y**3 + 20630*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3802 - 45701\/12. Find the common denominator of v and -89\/38.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**2 + 926050*t - 228612332 = 0.\nAnswer: 247, 462778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, p: 6, e: 8}. Give prob of picking 4 e.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1215 divided by 1215.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 1\/8, -1\/5, 0.01?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1095 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 72 - 62. Suppose h = 5*x - 40. Suppose -x*n + 15*n = 145. Calculate the remainder when 84 is divided by n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/2 + -2 - (-10)\/2. Suppose 2*s + w = 3, -7 = -5*s - 2*w + q. Solve s*j + 9 = -3*k, 2*j = k + k + 16 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ulhvvuhlvvvvpuu. Give prob of sequence uhlh.\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of 5*m**9\/504 + m**5\/6 + 7*m**2. What is the third derivative of w(k) wrt k?\nAnswer: 600*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2 + 6*a + 65. Let o(r) = 2*r. Determine t(o(i)).\nAnswer: -8*i**2 + 12*i + 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -1\/120*p**6 - 1\/24*p**4 + 0 - p**2 - 1\/30*p**5 + 0*p + 0*p**3. Solve w(b) = 0 for b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 8:18 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4\/5, 2\/21, 1.9, -3\/7?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33198 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 o when two letters picked without replacement from lrueo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7377*a**3 + 10580*a**3 + 11336*a**3.\nAnswer: 14539*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1278656 and 2752?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fj when two letters picked without replacement from {i: 2, r: 3, f: 1, q: 3, j: 2, z: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2740, 5474, 8206, 10936?\n\"Answer: -f**2 + 2737*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vnvvnvvvvvnvvv. What is prob of picking 1 v and 1 n?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**3 - 7*f - 7. Let b(c) = c + 1. What is 35*b(t) + 5*k(t)?\nAnswer: -10*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3 + 4 - o - 2*o - o**3 - 5*o**2. What is the remainder when f(-5) is divided by (-102)\/(-9) - (-4)\/6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 5:10 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, r: 2, e: 1, q: 10, g: 4}. What is prob of sequence te?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/10)\/((-3)\/(-15)). Let n be b\/14 - 141\/(-21). What is the units digit of (6\/n)\/((-1)\/(-7))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122335, -490276, -1103517, -1962064, -3065923, -4415100, -6009601, -7849432?\nAnswer: -9934599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -7.8. Let m = -9\/19 - -43\/171. Which is the nearest to 1\/5? (a) m (b) n (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6234068885 divided by -5.\nAnswer: -1246813777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u - 40 = 2*u. Calculate the common denominator of 81\/14 and ((-2)\/(u\/113))\/(-6).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 5444418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -357 - 15983957*o + 2*o**3 + 7991984*o + 7991973*o.\nAnswer: 2*o**3 - 357","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 97 + -87. What is the remainder when q is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 94 + -86. Solve -4 = -2*q, 3*q + 4 = 3*m + k*q for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3922 - 3921.86. Sort -0.5, o, 1\/5, -1\/3, 3\/8 in descending order.\nAnswer: 3\/8, 1\/5, o, -1\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17815238, -17815239, -17815240?\nAnswer: -17815241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -32410605 to the nearest 100000.\nAnswer: -32400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18135)\/(-39) + (-1 - -3 - 7). Suppose -3*v + 586 = s. What is the remainder when 139 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u - 13. Suppose -5*i - 5*q = 0, 4*q - 2*q - 10 = 0. Let h be j(i). Solve -6*m + n + 11 = -2*m, -h = 5*m + 4*n for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 203427*t**2 - 101684*t**2 - 2*t**5 - 4*t**3 + 2*t**3 - 101706*t**2 + 728*t wrt t.\nAnswer: -40*t**3 - 12*t + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 3*z. Let c be y(-4). Suppose -5*r - 5 = -c*q + 16, -2*r - q - 11 = 0. Let j = -3 - r. What is the least common multiple of j and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 9:34 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/24384 and 5\/944.\nAnswer: 1438656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006166473926 to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -5 - 13*r + 2 + 3. Suppose -5*i + 42 - 302 = -4*f, -4*i = 5*f - 284. Let t(j) = 59*j + f*j - 121*j. Determine t(y(w)).\nAnswer: 26*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/145 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, g: 1, m: 4, j: 6}. What is prob of sequence gjr?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5290*v - 3076 = -4521*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5*j - 3. Let k(u) = -6*u - 2. Let a(m) = 4*h(m) - 3*k(m). Let r(p) = -2*p - 5. Suppose 90*b = 101*b - 44. What is b*r(l) - 3*a(l)?\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**3 - 1808*s**2 + 245520*s - 8781696 = 0 for s.\nAnswer: 56, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o**3 - 3658302*o**2 + 498*o + 131.\nAnswer: 12*o - 7316604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2526341, 5052671, 7578987, 10105289?\nAnswer: 12631577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33097, 33996, 34897, 35800, 36705, 37612?\nAnswer: 38521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15459\/8 + -1935. Let m = 79\/24 + x. Which is the third smallest value? (a) m (b) 4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53227 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2406763 - -122?\nAnswer: 2406885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (7 + -7 + 1)\/(-2)*20\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003576066313 to 4 decimal places.\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13642 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from erstt. Give prob of sequence et.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-2 + 0) - (-2 + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 122441.23 rounded to the nearest one hundred?\nAnswer: 122400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -139 divided by -34605.\nAnswer: 139\/34605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 5*p**2 - p**2 + 17*p**2. Suppose -14*g + 1108 + 1776 = 0. Let r(z) = 103*z**2 + 102*z**2 - g*z**2. What is v(r(j))?\nAnswer: 21*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 9*y - 2*y + 7*y + 1. Is n(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sscccsnsrcc. Give prob of picking 1 r and 1 n.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-18) - ((-21)\/6 - -2). Suppose 0*u - 5*g - 17 = 4*u, 5*u - 2*g + 13 = 0. Sort 4, l, u, -2 in decreasing order.\nAnswer: 4, l, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kbzk when four letters picked without replacement from bmamzmmmzbkmbukmmbbb?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-5))**(-33))**(9\/10) assuming v is positive.\nAnswer: v**(-891\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 2*m + 5, -5*z + 15 = -8*m + 10*m. Suppose 5 = -5*w - o - 4*o, z*w = o - 5. Sort -2, 0, w, -6 in descending order.\nAnswer: 0, w, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*x = 432, 7*g - 921 = -x - 182. Calculate the smallest common multiple of g and 84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21195.\nAnswer: 3, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 4. Is m(19) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4 - 4 - 23217*z + 23218*z. Let k(i) = 10*i**2 + 6*i. What is k(n(v))?\nAnswer: 10*v**2 + 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2509 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/96651 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -91\/62 or 0?\nAnswer: -91\/62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -115 + 106.3. Let y = -9.1 - f. Put -0.3, y, 2\/9 in ascending order.\nAnswer: y, -0.3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (91494\/(-4186))\/((-4)\/(-28)).\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**2\/3 + 3108*z + 65856 = 0. What is z?\nAnswer: -21, 2352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -17*t + 7*t. Let s be (-8)\/t*(-30)\/(-220). What is the biggest value in s, -2, -7\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45*k**2*r**2*z**2 - 3*k**2*r*z - 4*k**2 - 2*k*r**2*z**2 + k*z**2 wrt r?\nAnswer: -90*k**2*z**2 - 4*k*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 209, 2, -1, 4, 27, 12 in increasing order.\nAnswer: -1, 2, 4, 12, 27, 209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 462 divide 151074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41906*d**2*j + 3389*d**2 wrt j.\nAnswer: 41906*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35240.94 grams to milligrams.\nAnswer: 35240940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 640\/(-32) + -77581 + 3. Let n(u) = -3*u**2 + u. Let f be n(-1). Is (-2 + (-10)\/f)\/((-27)\/y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a + 2. Let u be j(-3). Let w = u + -10. Solve w = -z + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -234 or -229?\nAnswer: -229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 26 = -1. Calculate the remainder when 95 is divided by d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -338 - -887. What is the greatest common factor of i and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-27)*5706\/(-3804)\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 312\/(-4680) + ((-124)\/(-90))\/(6\/9). Determine r, given that -40\/17*r**v + 0 - 18\/17*r**4 + 32\/17*r - 64\/17*r**3 = 0.\nAnswer: -2, 0, 4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hcwhrel. What is prob of sequence heh?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 950*w**2 - 2*w - 479*w**2 - 472*w**2. Let h(t) = t + 3. Let g be h(-7). Determine m(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 + 57. Suppose -j + x = -2*j. Let f = 8 - j. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 4*l + 8, -22 = -3*h - l - 6. Suppose -i - i = h*b - 14, b - 7 = -i. What is the smallest common multiple of i and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7116311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2960*p**2 - 14*p + 14*p - 364*p**2 - 1 to a*p**2 + q + h*p and give a.\nAnswer: 2596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1035 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 246103 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19.1 - 0.9. Let y = -11 - u. Which is greater: -2\/5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 49814963 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 3 - 1)*(1586*o + 3 - 1533*o + 2).\nAnswer: 212*o + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/sqrt(7) + 5 + sqrt(162) + 2 + ((1*sqrt(2)*1 - sqrt(2)) + 1 + sqrt(162) + sqrt(2))**2*5.\nAnswer: 110*sqrt(2) + 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -18386, -73629, -165704, -294611, -460350?\n\"Answer: -18416*c**2 + 5*c + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.11 (b) -5 (c) 0.3911 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1941*t + 1189*t + 39289 = 1150*t + 199669 for t.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 20. Let y be h\/(-7)*(13 + -20). Let o = -3\/2 + 5\/6. Sort y, o, -0.1 in decreasing order.\nAnswer: y, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117, 109, 99, 87, 73?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -71. Find the third derivative of 5 - 12*w**2 + c*w**2 - 5 - 70*w**4 wrt w.\nAnswer: -1680*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1634763 is divided by 508.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 1328 = 3*t, 5*b + 2 = 22. Let g = -245 + t. Suppose 3*k + 3*a - 121 = 2*a, 5*k + a = g. Is k a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4816 divided by 2?\nAnswer: 2408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jpnn when four letters picked without replacement from {j: 4, l: 4, p: 5, n: 2, r: 1}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 127836 divided by -53?\nAnswer: -2412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89819689.\nAnswer: 1031, 87119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*r**5 - 2*r**5 - 4*r**5 - 2*r**3 + 2*r**3 + r**5 + (-3*r + 2*r - r)*(0*r + 0*r - r**4).\nAnswer: 4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5*a - 20 = -2, 5*n - a - 1 = 0. Suppose -s - 4 = -4*w, 0 = s + 5*w - 4*w - n. Suppose k - 8 - 1 = s. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 14 = 5*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 + (1 - -1)\/2 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 + -32. Suppose 4*w - l*w = -392. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -2 (c) -3 (d) 501\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 a when four letters picked without replacement from {a: 3, c: 1, g: 1, q: 7}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4300 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.38 - 2.380197. What is m rounded to 5 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, p: 2, o: 2, k: 4}. Give prob of sequence oou.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (4 - (3 - 3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -448 + 321. Put u, -4, 3 in descending order.\nAnswer: 3, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14104431 (base 5) to base 13\nAnswer: 50931","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 + 2*w**3 + 110 - 42 - 5*w**3 - 35.\nAnswer: -3*w**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 529, 1134, 1739, 2344?\n\"Answer: 605*l - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1172 and 31.\nAnswer: -3.6332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06669 to three dps.\nAnswer: 0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -21243350\nAnswer: -9\/21243350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 54 = -4*k - 12, -5*g = k - 6. Suppose 101 = -3*j + 2*b + 87, -4*j - 42 = 2*b. Are k and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1*(1 + sqrt(475) + -4 + sqrt(475) + 3 + sqrt(475))**2*3.\nAnswer: 12825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -161168, -322212, -483254, -644294?\nAnswer: -805332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4*i + 620 = -9*l, -5*l - 620 = i. Let s = 871\/7 + l. Let k be 1\/2 - 14\/12. Which is the closest to 0.1? (a) s (b) k (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 241 in decreasing order.\nAnswer: 241, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.13 - -11.13. Let z = 58 - 53.4. Let o = z - 0.6. Which is the third biggest value? (a) o (b) w (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*z**4 - 46060*z**3 - z**2 - 42994527*z.\nAnswer: 168*z**2 - 276360*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 2*y - 2*l - 16, 3*l + 12 = 0. Factor -2\/9*q**2 + 2\/9*q + y.\nAnswer: -2*q*(q - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*r**2 - r**2 - 2*r**2 - 6 - r**2 as o*r + s*r**2 + w and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (9 + -23 - -13).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -222488.099907 - -222488. Let i = 0.1 + h. What is i rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 365*g - 5872 = -2076 + 3139 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 793.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -28 (b) 8 (c) -2 (d) -0.47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifty-four fifths of a millimeter?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 12*k**2 + 85*k - 171. Let p = -38 - -55. What is the remainder when r(2) is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -189 - -181. Let h(f) = 6*f + 59. Let g(n) = 7*n + 6. Calculate the remainder when g(8) is divided by h(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3942 and 76172706.\nAnswer: 76176648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*g, 3*o - 2*g - 3 = 4. What is the biggest value in 0.2, 0.4, o, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274805 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: What is the biggest value in -0.5, 8, -25.695, -2, 2\/9, 0.2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/16*(-20)\/(-12).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**3 - 15*h + 9*h + h**2 + 2 + 5*h. Let c(q) = 41*q**3 - 26*q**2 + 3*q - 6. Let l(y) = c(y) + 3*u(y). Find the third derivative of l(w) wrt w.\nAnswer: 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -14*n**3 - 7*n**2 - 16*n - 15. Let v(q) = 6*q**3 + 4*q**2 + 9*q + 8. Determine 5*i(o) + 9*v(o).\nAnswer: -16*o**3 + o**2 + o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -4*i - 33, 0 = w - 2*i + 3 - 12. Is 116*w\/80 - (-1)\/(-4) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2356*u**3 + 8*u**2 + 2221*u**3 - 4447*u**3 + (u**2 - 2*u**2 + 2*u**2)*(4*u + 0*u - 3*u).\nAnswer: 131*u**3 + 8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -249*o - 577. Let l(w) = -10*w. Give q(l(k)).\nAnswer: 2490*k - 577","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3045 * -19.\nAnswer: -57855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/3 + 4632*f**2 + 27292730*f\/3.\nAnswer: -2*f*(f - 8545)*(f + 1597)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-229817)\/(-14)*1)\/((-6)\/(-12)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 69.57719 nanometers?\nAnswer: 0.000006957719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1897.7 - -1897.8. What is the nearest to 1\/4 in -6\/11, -20, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 4*l + 1\/20*l**5 + 0 - 3\/2*l**2 + 0*l**4 + 0*l**3. Differentiate u(z) with respect to z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 10:45 PM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 290484?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 152 - 85. Let p = 55 - f. Is ((2372\/p)\/1 - -2)*-3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 846813013?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76 and 127452?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 5*y**2 + 95*y + 390 = 0?\nAnswer: -13, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*o - 3 = -27*o. Suppose -o*u - 5*r + 4*r = 0, -4*u - r = -1. Let j(v) = v**2 + v + 1. Let f be j(-2). Put u, -2, f in ascending order.\nAnswer: -2, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/(6\/(-4))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -82.\nAnswer: 5\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51 and 173479611.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -z**7\/35 - z**3\/2 + z**2\/2 + 5. Let m(g) be the second derivative of l(g). Differentiate m(p) with respect to p.\nAnswer: -24*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 1181*a - 34219. Determine u(29).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 y when four letters picked without replacement from pyyyyyyyyyypppyyyyp.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 9, -74, -1, 511 in decreasing order.\nAnswer: 511, 9, -1, -4, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -47, 2\/5, 0.485, -0.5 in descending order.\nAnswer: 0.485, 2\/5, -0.1, -0.5, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 0 + sqrt(45) + -2 + (sqrt(540)\/sqrt(192))\/(sqrt(576)*1).\nAnswer: -7 + 97*sqrt(5)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 2:18 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88512 is divided by 143?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -61703 + 2055?\nAnswer: -57626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1808, -3619, -5430, -7241?\n\"Answer: -1811*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -832*p + 850*p - 43200. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -148 in -2, -9, 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of u**4\/2 + u**3\/3 + 29*u**2\/2 + 88. What is the second derivative of w(r) wrt r?\nAnswer: 12*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - -6)*110\/15. Solve -z = 2*q - 5*m, 5*q - 2*m + 5 = -8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-15)\/(p\/(p**(24\/11)\/p)))\/(p*p**(-1\/14))**(-5\/6) assuming p is positive.\nAnswer: p**(-12977\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/20796 and 41\/69.\nAnswer: 478308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 215975 to the power of 1\/2, to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r - 2. Suppose 0 = -2*c + a - 4 + 15, 0 = 2*c - 3*a - 1. Let j = -6 + c. Let h(p) = -p - 1. Let g be (1 - -2)\/(-6 + 5). What is g*h(l) + j*x(l)?\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.09259? (a) 1\/2 (b) -0.3 (c) -60.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(1*sqrt(275) + sqrt(11)) + -1 + sqrt(5) + (1*sqrt(405))**2 + sqrt(405).\nAnswer: 61*sqrt(5)\/6 + 404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18.2219896336 - -18.222. What is v rounded to seven dps?\nAnswer: 0.0000104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2)*(0*s**2 + 4*s**2 - 3*s**2) + 8*s + 487 - 487 + 7*s**2 as o + p*s**2 + i*s and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3717 + 2023 = -41*h. Which is smaller: h or -164?\nAnswer: -164","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 11*l**2 - 11*l - 8. Let g be h(-10). Sort g, 0, -21, -2.\nAnswer: -21, -2, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33044 - -1320?\nAnswer: -31224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 126\/12 + -1*6. Let v = -4126 - -4129. Determine d, given that 0*d**4 + 0 - t*d - 9*d**v + 12*d**2 + 3\/2*d**5 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - r = -19 + 5, 5*o = 2*r + 2. Let q(h) be the third derivative of 0 + 1\/30*h**5 - 5\/24*h**4 + 1\/3*h**3 + o*h**2 + 0*h. Determine q(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 21098283, 21098256, 21098229, 21098202?\n\"Answer: -27*t + 21098310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3316950 divided by 975.\nAnswer: -3402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -355*b**2 - 1635*b + 5950.\nAnswer: -5*(b + 7)*(71*b - 170)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18512.\nAnswer: 2, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35 and -95\/1632?\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 28388629 to the power of 1\/3, to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3*u**2 + 53753682*u + 240788194046427 = 0.\nAnswer: -8958947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3 - 4 + i + 9 + 8. Let n be h(-5). Suppose 0 = 2*o - n*o + 18. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y**2 + 3*y**2 - 2*y**2)*(1 + 1 + 4)*(29358 - 14804 - 15114) to j + b*y + t*y**2 and give t.\nAnswer: -6720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 195401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -13*y**3 - y**2 + 5*y - 4. Let s(f) = f**3 - f + 1. Let j be (2 + -2 + 2)*2. Let x be ((-2)\/(-2))\/((-4)\/j). Let h(q) = x*l(q) - 4*s(q). Give h(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -j**5\/60 - j**2. Let l(c) = 0*c**2 + 3*c**2 - 4*c**2. Calculate r(l(u)).\nAnswer: -u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8605341, -0.13, -4 in increasing order.\nAnswer: -8605341, -4, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1248, -1330, -1414, -1500, -1588, -1678?\n\"Answer: -k**2 - 79*k - 1168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4*p - 3. Let i be m(-5). Let v = -38 - i. Let h = v + 22. What is the smallest common multiple of 6 and h?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 13 = 64. Let x be -2 + (-3)\/(2*(-3)\/8). Suppose -19 + 153 = x*t. What is the remainder when t is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 18\/5 of a meter?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v + 3515 - 3515 + 32*v**2.\nAnswer: 32*v**2 + 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 8 = -4. Let c be (6\/10)\/(5\/25). Put c, 5, t in increasing order.\nAnswer: t, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 2:08 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 59\/3 of a decade?\nAnswer: 2360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**4\/5 + 1308*x**3\/5 + 141206*x**2\/5 - 435336*x\/5 = 0. Calculate x.\nAnswer: -97, 0, 3, 748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -5 + 0 + 11 + -6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, h: 3, g: 1, m: 7, d: 2, t: 3}. Give prob of sequence qh.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*f - 5*j, -f = 492*j - 491*j - 9. Let b(u) = -6*u + 8. Let k(a) = 5*a - 7. Determine f*b(r) + 3*k(r).\nAnswer: 3*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(18)\/(sqrt(8)\/sqrt(4)))\/sqrt(3) + sqrt(33)\/((sqrt(11)*1 + sqrt(11))*-5)).\nAnswer: 9*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -124975205*z**4 + 136153993*z**2 wrt z.\nAnswer: -2999404920*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 10*i**2 + 4. Let p be n(-10). Let o(m) = 4*m - 6. Let r be o(p). Calculate the greatest common divisor of 80 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/4 + 6\/(-4). Let i = w + 5. Let f(u) = u + 6. Let h be f(-4). Solve i*k + h = k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23\/69 + 2 + 16\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from duuuubd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - -1. Suppose -2*j = -4*y + 2*j + 28, -c*y = -2*j - 20. Let f = -428 + 492. What is the lowest common multiple of f and y?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 2 - (1 - 2). Suppose -10 - b = 2*t. Let v(m) = -3*m - 6. What is the tens digit of v(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42813 and 781?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 587087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -153 - (-84 + (124 - 229))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 222 - 882. Calculate the common denominator of (-1)\/2 - w\/184 - 3 and -46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*c**3*p - 2*c**3 + c**2*p**2 - c**2*q + 2*c*p**2*q + 10*c*p**2 + c*q wrt c?\nAnswer: -60*c*p - 12*c + 2*p**2 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0647 + 96.1353. Let d = -96 + t. Sort -2\/7, 3, -0.1, d in ascending order.\nAnswer: -2\/7, -0.1, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -110100000122220112?\nAnswer: -110100000122220102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001246 rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5\/7 (b) 0.1 (c) -6 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9592 = -6*i - 16*i. Let n = 946 - i. Is n a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8313193kg in micrograms?\nAnswer: 831319300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -28) + (368 - 393).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 5 (b) -3 (c) -3\/4 (d) 2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -14, -3\/7, 2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 5, 865, 1 in increasing order.\nAnswer: 0, 1, 2, 5, 865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -2\/21*f**6 + 4\/7*f**2 + 4\/7*f**3 + 46 - 12\/35*f**5 - 1\/7*f**4 + 0*f. Let u(o) = 0. What is o?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(-5)\/(15\/(-116)). What is the highest common factor of m and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -494 - -652. What is the remainder when a is divided by 68?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 6:39 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00095048 to 5 dps.\nAnswer: -0.00095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zhv when three letters picked without replacement from zzvhivhvv?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b9368 - -8?\nAnswer: -2b9360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -240003 + 0?\nAnswer: -240003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -12*d + 1. Let j(o) = 1. Let f(b) = -2*j(b) + s(b). What is f(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) -1\/792 (c) 5\/16 (d) -1\/2 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025 + -5799.602?\nAnswer: -5799.577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -61 - ((0 - 0) + (4 - (3 + -1)))\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 7793.01 to the nearest ten.\nAnswer: 7790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4568652973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3982 - -280?\nAnswer: -3702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 6*h**2 - 29152*h - 175144. Give t(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7930 + 7931. Is g less than 5\/1051?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 15317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 71 in 4, -22\/23, -201?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40007.948 rounded to the nearest 100?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52959513 + -35535821665\/671. Let o = -192\/11 + y. Which is bigger: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-86 - 21 + 441)*(0*c + 2*c + 0*c)*(1 + 1 + 1)*(-2*c + 6*c - 2*c) to x + z*c + j*c**2 and give j.\nAnswer: 4008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 441 + -229. Let p = i + -211.99799. Round p to four decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-328)\/410)\/((-2)\/(-45)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 65920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7023 and 152?\nAnswer: 1067496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-189)\/6) + 48\/(-108)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -11*v**2 - 6. Let z(o) = 4*o**2 + 2. Let q(h) = 3*s(h) + 8*z(h). Let p(y) = -y**2 - 1. Let l(j) = -2*p(j) + q(j). Let u(f) = 3*f**2. What is l(u(c))?\nAnswer: 9*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -4989*q**4\/2 + 1286*q**3\/3 - 1515. Find the third derivative of l(i) wrt i.\nAnswer: -59868","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 4, v: 11, o: 3, u: 1}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, l: 8}. Give prob of picking 1 q and 1 l.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 11:52 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4*g - 18, g - 4*v = 3*g. Suppose -7*w - 8 = 2*p - g*w, 4*p + w - 4 = 0. Suppose -9*d = p*d - 341. What is the remainder when 57 is divided by d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 5*y = -12, 3*w - 4*y = -6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 249358419 divided by -3483.\nAnswer: -71593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 119959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15359083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 85 = 473. Suppose 0 = 2*p + j - 649. Suppose -5*k - p = -4*w, k = -k - 3*w - 115. Round k to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 338?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2b9 - -3?\nAnswer: 2bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**2 + 5*s - 7. What is c(2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57 + 61. Suppose -5*l + q + 14 = 2*q, l - z*q = 7. Solve 0 = -l*r + 14 - 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -4*z**4 - 17212*z**3 - 18489972*z**2 + 55590460*z - 37083272 = 0.\nAnswer: -2153, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 157022, 157021, 157020, 157019, 157018, 157017?\nAnswer: 157016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 250320 (base 6) to base 4.\nAnswer: 11122020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, o: 6, r: 2}. Give prob of sequence ro.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*l = 53*l + 132. Put 4, 2, l in increasing order.\nAnswer: l, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-123)\/(-164))\/((-9)\/2).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000163289459 rounded to 6 dps?\nAnswer: -0.000163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.16 - 0.06. Sort -1, f, 5 in decreasing order.\nAnswer: 5, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 311*k**3 - 8*k**2 + 10*k - 4. Let a(i) = 934*i**3 - 23*i**2 + 35*i - 14. What is -2*a(d) + 7*p(d)?\nAnswer: 309*d**3 - 10*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3233 - 1466.3233. Let s = -1459.71 - r. What is s rounded to 1 dp?\nAnswer: 6.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -1452*h - 11622. What is m(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 7:50 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((23\/46)\/((-2)\/20))\/((-182)\/(-3822)).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 9:02 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 108 or -260?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 3*f - 8. Calculate u(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 9*r**2 + 42*r + 5. Give j(-7).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1117*w + 1110*w + 2*w**3 + 4*w**2 - 1428*w.\nAnswer: 2*w**3 + 4*w**2 + 799*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, w: 2, b: 2, i: 2, m: 4, c: 1}. Give prob of sequence hwi.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**2 - 9*o - 39. Calculate the remainder when n(-5) is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-45*a**2 + 45*a**2 + 24*a**3 + (-2*a**2 + a**2 + 3*a**2)*(1 - 1 - a))*(0 - 3 - 6) to d*a**2 + k + q*a + m*a**3 and give m.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3958793.\nAnswer: 31, 127703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1806*i + 283*i**3 - 1806*i + 414*i**3.\nAnswer: 697*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 167, 173, 179?\n\"Answer: 6*l + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.083 - 0.1. Let i = 0.289 - 0.3117. Let o = t - i. Round o to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7181, -7180, -7179?\nAnswer: -7178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -76.5 * -53712.\nAnswer: 4108968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3367 and 465608?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273*n = -280*n + 280. Calculate the lowest common multiple of n and 55.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 288773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10535 + 63163\/6. Let a = 25\/116 - -4927\/2436. Find the common denominator of a and o.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11709 and 6140720?\nAnswer: 55266480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 16*j - 16. Suppose 0 = m + 5*c - 7, -2*m + c = -c - 38. What is the remainder when g(12) is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 5*h**2. Let z be f(5). Let o(s) = s - s + s + z. What are the prime factors of o(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1865 (base 11) in base 9?\nAnswer: -3223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.038 - 0.071. Round q to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 2) in base 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -150 + -10212325?\nAnswer: -10212515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 792, 791, 790, 789, 788, 787?\nAnswer: 786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (68943\/1876 - (-7)\/(-4))\/(-1)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 6*h - 6. Let r = 11 - 7. Let n be q(r). Factor -n*o + 5 - 3*o**2 + 3*o - 3 + 2*o**2.\nAnswer: -(o - 2)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-28))\/((2\/10)\/(-1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15503506 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b22b9 + 80?\nAnswer: b2379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3672, -14619, -32824, -58281, -90984, -130927, -178104?\n\"Answer: v**3 - 3635*v**2 - 49*v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 45, -1 in increasing order.\nAnswer: -1, 4, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 + -0.3. Let n = -1.8 - -2. Let r = x - n. Which is the closest to -1? (a) 1 (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 783678 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-980)\/(-63))\/(-10))\/((-1375)\/(-99) + -11 + -3). Suppose 2*f = -4*w - 16, 7*f + 15 = 2*f - 5*w. Put -15, f, z, 1 in descending order.\nAnswer: z, f, 1, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/((-48)\/28)*28*-1. Let u(d) = 3*d**2 + 2*d - 3. Let v be u(1). Put 0, p, v in decreasing order.\nAnswer: v, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 - 475\/(-90) - 2\/4. Which is the closest to 0? (a) 4 (b) -0.7 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {m: 1, j: 3, e: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3164 by 766.\nAnswer: 1582\/383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303566570?\nAnswer: 2, 5, 31, 883, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0575409 rounded to two decimal places?\nAnswer: -1.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence myy when three letters picked without replacement from {y: 2, m: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 90\/(-60)*2\/9. Let u(y) = -y + 10. Let t be u(6). Suppose -g = t*g + 10. Which is the third biggest value? (a) 0.4 (b) f (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 684182219 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgog when four letters picked without replacement from ggopogppooopogg?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57.032 - -57. Let u = 0.092 + t. Which is the biggest value? (a) -0.1 (b) 3\/2 (c) -1\/6 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 3. Let t(y) = 3*y**2 + 2*y - y**3 + x*y + 3*y**2. Is t(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-252)\/(-36))\/((84\/(-174))\/(-2)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/19561 and 360 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*m - 910 = 16*m. Which is smaller: 74 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 348420 - 168183. Suppose 49763 = 2*p - o. What is p rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 103\/((-14214)\/(-1840))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k - 17. Let c be l(-10). Suppose -808 = c*t - 7*t. Let s = t + -98. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 45c70 + -1c9?\nAnswer: 45a74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2012622 times -0.2\nAnswer: -402524.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*a, 5*q - 3*a + 12 + 9 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/(-308))\/((4\/70*1)\/(485\/9700))?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 0*h - 1\/4*h**2 + 1\/4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 5*x. Suppose -c = 4*j + 3, -2*j - 42 = -2*c - 2*c. Is 8 a factor of s(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**10)\/(z\/((z**(-7\/3)*z)\/z)))**29 assuming z is positive.\nAnswer: z**(-1073\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 81 - 183 + 236*h + 79. Is v(17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 129 - 126. Solve -5*j - 12 = l for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -0.9574, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -6*v**3 + 3 - 3*v**3 - 2*v + 2*v**2 + 12*v**3 - 3*v**2. Let p be c(1). Solve p*r + 15 = 0, -5*u + 0 = 4*r + 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 115973?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 7571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1105*q**4 + 36186*q**2 + 214169346?\nAnswer: 4420*q**3 + 72372*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -7\/5 (b) 1\/8 (c) 120\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.73628t in micrograms?\nAnswer: 35736280000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 102 - 107. Let n be (-1)\/(5\/3)*o. Suppose -4*h - 9 = 7. Sort h, n, 5 in decreasing order.\nAnswer: 5, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**2 + 62*l**2 - 65*l**2 + 604*l.\nAnswer: -l**2 + 604*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 4 (b) 63 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64149.42mm to kilometers.\nAnswer: 0.06414942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, 31, 3\/5, -0.1, -2114?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, g: 5, h: 5}. What is prob of sequence gqhh?\nAnswer: 50\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-29)\/(-7) + (-8)\/56. Let h = 6 - 1. Let f be (-2 - 0) + (-26)\/(-2). Solve i = h*t - f for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + (-4 - 6\/(-3)). Let t = -4 + 9. Suppose c*h + h + 2*p = -5, -h - t*p - 19 = 0. Solve -7 = u + 3*s, 2*s + 23 = -5*u + h for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 2*n + 2)*((n + 2*n - n)*(-n**2 - 3*n**2 + 2*n**2) - 6*n**3 + 2*n**3 + 2*n**3) + 10*n**4 - 5*n**4 + 6*n**4)*(227*n - 162*n + 138*n).\nAnswer: 4669*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -9*1\/((-9)\/6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 3) + -21 + 22 + -8 + (-1 - 11)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 11 = -2*h, -h - 2*h = i - 16 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuau. What is prob of sequence uuau?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25211334 + -5?\nAnswer: 25211325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -243*c**2 - 8*c - 8. Let d(r) = 152*r**2 + 5*r + 5. Let k(u) = -8*d(u) - 5*x(u). Let w(q) = -2*q + 294. Give k(w(j)).\nAnswer: -4*j**2 + 1176*j - 86436","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*2)\/((-56)\/(1344\/18)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10 - 9)\/(-2 + 11\/5). What is the hundreds digit of (((-24)\/l)\/4)\/((-30)\/6075)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*b - 11*b - 12*b + 340 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 at least 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + 52. Let l = x + -34. Solve -4*n - l = -n + 4*t, 0 = 5*t + 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011011 - -10101000111001?\nAnswer: 10100110011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 10 = -3*q + 4*j, 0 = -q - 5*j - 11. Let v(a) be the second derivative of -3*a - 5*a**2 + 0 + 3\/2*a**3 - 1\/20*a**5 + 7\/12*a**q. Calculate v(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -22. Let w = -10 + x. Suppose v - 2*s - 1175 = -w*v, 2*v - 805 = -3*s. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*m + 58*m + 14 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**2 + 50*x + 200. Let k be d(-10). Solve 0 = 5*u + 4*v - 16, 3*u = -k*v + 5*v + 17 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20565, 41132, 61699, 82266, 102833, 123400?\nAnswer: 143967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**4*d)\/d)**(1\/20)\/((d\/(d*d**(29\/4))*d)\/d**(2\/9)) assuming d is positive.\nAnswer: d**(1219\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5*f - 1. Let i be n(1). Let q(k) = -k**3 - 5*k**2 + 6*k - 3. Let u be q(-6). Let j be (-20)\/(-16) - u\/i. Solve 6*l - j*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -12*g**2 + 7 + g**3 - 11 - 7*g - 12. What is the tens digit of p(15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 287951775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 118457584*r**2*u**3 + 89*r**2*u**2 - 2*r**2*u + 2*r*u**2 + 2*r - 30889*u wrt u?\nAnswer: 710745504*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by 7?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4487.\nAnswer: 7, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2224070311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, -2, 0.11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3871.04429 + 0.35571. Round j to the nearest one hundred.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37\/(-24))\/((-173)\/4152).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -4*w**2 + 0*w + 8\/9*w**3 + 47 - 1\/18*w**4. Factor v(c).\nAnswer: -2*c*(c - 6)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(210)\/sqrt(10)*1 - 5*sqrt(1029))\/(sqrt(24)\/(-2*sqrt(8)*3)*6))**2.\nAnswer: 8092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 550660 and 220?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q - 19*q - 111 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9147, 9152, 9157, 9162, 9167?\n\"Answer: 5*r + 9142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 0 + 1\/2*k**3 - k**2 + 1\/2*k = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 4*c + 882 - 169, 5*k + 2*c - 701 = 0. Solve k*v = 146*v + 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -9*t - 10. Calculate the remainder when u(-5) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**3 - 28 - 21*v + 38*v - 18*v as u + l*v + m*v**2 + o*v**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -614*t - 615*t + 1848*t + 1 - 600*t - 1.\nAnswer: 19*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*x = 14*x - 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2076 + 220?\nAnswer: 2316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 3)*(7 + 52*x - 6 + 1) as f*x + m and give f.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -6*s + 13. Suppose 0*d - 3 = -d. Suppose 10 = 5*c + 2*u - 15, 0 = d*c - 5*u + 16. Let b be v(c). Sort b, 2, 0 in ascending order.\nAnswer: b, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 409, 887, 1365?\n\"Answer: 478*p - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1199 and 109.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23.055 + -0.055. Let o = -652038.99988 - -652062. Let c = o - v. What is c rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 0*f + f**2 + 1 + 0 + f + 0. Let g(x) = x**2 + 2*x + 2. Suppose 5*p - 2*c + 3 = -4, 0 = 5*p + 4*c + 31. Calculate p*g(u) + 5*v(u).\nAnswer: 2*u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + -9 + -3 + 10. Sort -90, x, 2 in increasing order.\nAnswer: -90, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59352 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -20*c - 7. Let y(n) = 17*n + 6. Let t = 155 - 162. Let s(g) = t*y(g) - 6*d(g). Let x(o) = 30*o. Give s(x(m)).\nAnswer: 30*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 5. Let s(t) be the first derivative of -2*t**3 - 4*t**2 - 6*t - 1\/4*t**4 - 1. Determine s(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-7) - 164\/14. Let p = r - -17. Calculate the greatest common factor of p and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 326628?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/33*6\/4. Let u = 79 + -305\/4. Let r = u - 25\/12. Put n, r, -5 in decreasing order.\nAnswer: r, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - -36) + -34 - (-5 + 29).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*s**3 + 0*s**3 - 3*s**3)*(3 - 1 + 1) + 6*s**3 - 5*s**3 - 3*s**3 as v + k*s**2 + q*s**3 + r*s and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 4*d**2 + 4*d + 1. Let o(n) = -n**3 + 2*n**2 - n. Let x(w) = -g(w) - 2*o(w). Give x(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 343773 or 343769?\nAnswer: 343769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5589629989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -9\/2, -5, 0.06, 3\/7, -1888?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 141 - 142. Which is the nearest to 1? (a) r (b) 0.4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**3 - 3*y + 4. Let u(q) = -q**3 + q - 1. Let o(x) = -j(x) - 3*u(x). Suppose 0 = 5*l + 17 - 2. Let r(i) = 16 + 14 - 27. Give l*o(t) - r(t).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -341 or -342?\nAnswer: -341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5.084 - -135\nAnswer: 140.084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 374831900 rounded to the nearest one hundred thousand?\nAnswer: 374800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 57992.47 days?\nAnswer: 5010549408000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -507.\nAnswer: -101.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gc when two letters picked without replacement from agagsagscoaggssssao?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-69)\/(2 + 908\/(-452)). Let b = v + -218387\/28. Calculate the common denominator of -127\/84 and b.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*w - 9 = -6*u, 4*u = -3*w - 9. Let m = 2 - -15. Calculate the remainder when m is divided by (-2 + 4)*(3 - u).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 1:24 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(330)\/(sqrt(40)\/sqrt(4)))\/(sqrt(121)\/sqrt(275))*-5*-4.\nAnswer: 100*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17276657689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and 3269.61?\nAnswer: 3265.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a - 4. Let b be i(2). Let u = 2333 + -2321. What is the smallest value in b, u, -0.3, -2\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 72 + 4?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * 1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 56*b**2 + 161*b - 681. What is x(4)?\nAnswer: 859","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8 - 12\/(-3)) + 12. Let q = -6 + d. Suppose g - 4*g + 4*o = -137, 84 = q*g + o. List the prime factors of g.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-14)\/(-4))\/7*-12. Let b be 0\/(5 + g + 3). Suppose 0 = -o + h, -3*o + 0*o - 4*h + 28 = b. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 203 - 311?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 40, -2*v - 784052 = -4*j - 198344. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2. Let n = -38 - -40. Let m(k) = -10*k**2 - 13*k**n + 2*k**2. Calculate y(m(l)).\nAnswer: -882*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 1633?\nAnswer: 2\/1633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 12:49 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 1275 = 5*j, j - 4*t + 96 = 326. Calculate the least common multiple of j and 675.\nAnswer: 6750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 18, -9.766 in descending order.\nAnswer: 18, 8, -9.766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 6*n - 33. Let q(w) = -2 + w**2 - 4*w + 2. Let y be q(n). Solve y*j - j - 12 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*p + 3*p, -8 = -2*k - p. Suppose -k*g = -5*g. Suppose 0 = -5*a - 2*w, 0*a = 3*a + 5*w + 19. Solve -3*y - 4 - a = g for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 (base 8) in base 5?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-440 - -435) + -1 + -12.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b + 4. Let s(z) = 7*z + 8. Let v(o) = 5*f(o) - 3*s(o). Let j be v(-7). Suppose -2*n - n = -3. Calculate the highest common divisor of j and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 7*m**5\/20 - m**4\/4 - 14*m**2 - 16*m. What is the first derivative of l(n) wrt n?\nAnswer: 21*n**2 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/3 - 58*j**3 - 544*j**2 - 2770*j\/3 + 1525.\nAnswer: (j - 183)*(j - 1)*(j + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 565080?\nAnswer: 2, 3, 5, 17, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*u = -27*u + 1418. Let h = u - 268. Suppose 3*i - i - h = -5*a, -269 = -3*a + i. What is the remainder when a is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/8168 and -7\/3063.\nAnswer: 24504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-7)\/a*a*a**9*(a*a**2)**(2\/119))\/(a**9\/(a\/((a**(-2\/29)\/a)\/a))*(a**(-8)\/a)\/(a**1\/a)) assuming a is positive.\nAnswer: a**(21118\/3451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 70*l + 18*l**3 - 19*l**3.\nAnswer: -l**3 - 70*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53900?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-1) + 1 + (128 - 3). Which is greater: f or 141?\nAnswer: 141","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3. Let f be a(-1). Let p = f + 4. Find the third derivative of -2*k**p + k**3 - 3*k**2 + k**2 wrt k.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + ((-376)\/(-7))\/(-1). Let q = v - -57. Find the common denominator of (-1665)\/35 - (-9)\/(-21) and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.9*-253\nAnswer: 480.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-9) - (-8)\/18. Let w = -66 - -66.29. Let l = 0.29 - w. What is the nearest to 1\/2 in z, -0.2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.05 - -0.02. Let f = -467 + 468.97. Let i = f - y. What is the closest to 0.1 in 0.3, 2\/9, i?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -926 - -5659\/6. Let l(b) = b**2 + 7*b + 642. Let m be l(0). Let t = m - 41055\/64. Find the common denominator of n and t.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1516771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1376 - 12323\/9. Find the common denominator of n and -67\/150.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1006486, 8051934, 27175296, 64415530, 125811594?\nAnswer: 217402446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 110001100001000?\nAnswer: 110001100001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233308?\nAnswer: 2, 17, 47, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-one halves of a centimeter?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 620188?\nAnswer: 2, 155047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/1347 or -0.1?\nAnswer: -1\/1347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3156359\/35 - 90167. Let q = -72\/5 + b. Factor 0*p**2 - 2\/7*p**3 + 0 + 0*p + q*p**4.\nAnswer: 2*p**3*(p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1822814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**5)\/((x\/(x**1\/x))\/x*x))\/(x**(2\/11)*x**(-3\/7)) assuming x is positive.\nAnswer: x**(-366\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/2))**(-4)\/(u**(1\/3))**(-1\/12) assuming u is positive.\nAnswer: u**(-71\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1989585 and 118560?\nAnswer: 3705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 37 + 20 - 24*q**3.\nAnswer: -24*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 8:28 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2954*r - 2949*r + 4*a - 58 = 0, r = -4*a + 18. Calculate the remainder when 137 is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23453, 23425, 23397?\nAnswer: 23369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 u when three letters picked without replacement from uugfgfgwgdudggff.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 2076\/604925?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-40) + (-174)\/(-600) - 1851\/25?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 770887493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -l + 2*d + 21, -40 = -3*l - 5*d. Suppose l = 3*s + 2*s + 5*z, 5*s = z + 21. Suppose a + 0*a - 4*o = 68, -s*o = 16. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/49083408 and -65\/96.\nAnswer: 98166816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1120461, 1120489, 1120517, 1120545?\n\"Answer: 28*m + 1120433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -128, -418, -934, -1730, -2860, -4378, -6338?\nAnswer: -8794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/30 and -53\/238086?\nAnswer: 1190430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, m: 2, o: 1, w: 1, y: 2, q: 1}. What is prob of sequence mymo?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/2*6*2. Suppose -99 = u*m - m - 2*t, -93 = 5*m - 4*t. Let q = 31 - m. What is q rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 990*p - 4701*p - 7849*p - 3586*p + 553*p as m*p + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 86\/3 - 15*h + 1\/3*h**2.\nAnswer: (h - 43)*(h - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -93 - 28. Let s = 216 + t. Let p = -65 + s. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1480 + (0 - 1) + 1. What is x rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2635*p + 3121*p + 1925*p + 5.\nAnswer: 2411*p + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 48701\/10 or -2\/5?\nAnswer: 48701\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -4*d**2 - 7156*d + 345168 = 0?\nAnswer: -1836, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*s**3 + 55*s**3 + 5168*s**2 - s - 5168*s**2 + 2*s - 98*s**3.\nAnswer: 5*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i**2. Let c(b) = 139*b. Determine c(p(x)).\nAnswer: -417*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/312 and 7\/987584.\nAnswer: 2962752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of t**3\/3 + 2*t**2 - 2*t + 3. Let k be v(-5). Let z(o) = k*o**2 + 4*o**2 - 3*o**2 - o**2. Let p(m) = -3*m**2. Give p(z(s)).\nAnswer: -27*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 2*j + 6, 4*j + 15 = 4*d - j. Suppose 0 = -d*n - 2*n. Suppose -5 = 4*z - 3*h, n = -5*z + h - 0 + 2. What is the greatest common factor of 7 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 5:51 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 4*f + 170 = 162, -5*n + f = -2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 68939454 and 0.16.\nAnswer: 11030312.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 97 + 8. Let c = -10169 - -10252. What is the remainder when c is divided by s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 3*g + 2. Suppose g*z = -2*c - 0*c + 4, 4*c + 3*z - 13 = 0. Calculate the remainder when c is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jlc when three letters picked without replacement from ngcjglccccgc?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5463, 5462, 5461, 5460, 5459?\nAnswer: 5458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a centimeter in micrometers?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (186\/(-124))\/(6\/20). Is 0\/(-1 - z) + (-3 - -3350) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-10)\/j)*j\/(j*j**(-8)))\/((j**(2\/15)\/j)\/(j*j*j*j*j**(-4\/17)*j*j*j*j*j)) assuming j is positive.\nAnswer: j**(7556\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*o**3 + 2)*(-2 + 2 + o) + (3*o - 16*o + 2042 - 2065)*(0 + 0 - o**3).\nAnswer: 15*o**4 + 23*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3010251?\nAnswer: 3, 1003417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 476, 484, 496, 512, 532, 556, 584?\n\"Answer: 2*l**2 + 2*l + 472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 5*d + 10, -5*w - 4 = -3*d + 4. Let r be (11 + 11)*(-2)\/(-4). Let i = w + r. Solve 8*b + i = 3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000161 to 5 dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -6.2 (b) -2 (c) 2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 8:04 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 0.14 (c) -0.13 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20203231 (base 4) to base 16.\nAnswer: -88ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s + 4. Let q(k) = 5*k + 9. Calculate 5*a(u) - 2*q(u).\nAnswer: 5*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*46)\/((-44643)\/(-3882)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0*v**5 + 2*v**5 + 9)*(1 + 0 + 1).\nAnswer: 4*v**5 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (7 - 4) + (0 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 85*j + 67. Let a = 51 + -60. Let r(n) = 42*n + 33. Let z(m) = a*r(m) + 4*o(m). What is the first derivative of z(h) wrt h?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, -2\/11, -3, 0.5, -0.15?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 116052966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - x + 17 = -2*v, -2*x - 10 = 0. Let t be 0\/v*(1 + 0). Solve 3*d - 8 - 4 = t for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*x + 2*x - 8*x)*(0*x - 6147*x**3 + 0*x + 5529*x**3 + x**2) in the form c*x + y*x**3 + o*x**4 + p*x**2 + w and give o.\nAnswer: 6180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y + 19. Let w be l(14). Suppose -3*k + 2*k = -5*d + 4, -d = -w*k + 4. Let x(p) = d + 4*p + 2 + 1 - 7. Determine x(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j - 6. Let n be c(0). Suppose 0*f - 3*f = 18. Let s = 2 + f. Which is smaller: s or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3923 - 18?\nAnswer: 3905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of w**6\/30 - w**4\/24 - 3*w**2. What is a(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 5. Is (-185)\/b + (-33)\/22 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 4*o - 20, 3*o - 56 = 4*n - 78. Solve 0 = -j - 5, 2*h + n*j + 20 = 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1185.\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 324731a?\nAnswer: -3247317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 10:19 AM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -30, -7, 28, 81, 158?\n\"Answer: r**3 + 16*r - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13427 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/17570 at least 2\/113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of 12*x**2 + 0*x**6 + 3 - 1\/210*x**7 + 1\/15*x**5 + 0*x + 1\/21*x**8 + 0*x**4 + 0*x**3. Find the third derivative of o(k) wrt k.\nAnswer: 960*k**2 - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11892896653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z - 4. Let m(b) be the third derivative of -1\/6*b**3 + 0*b + 5*b**2 - 1\/24*b**4 + 0. Calculate i(u) - 6*m(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**3 - o**3 - 3*o**3)*(0*o**2 - 4*o**2 + 3*o**2) - 16*o**4 + 38*o**5 + 16*o**4.\nAnswer: 39*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 606443038 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 480746065, 480746063, 480746061, 480746059, 480746057, 480746055?\nAnswer: 480746053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + 1 + 15 + -12. Suppose -9 = -3*c + 75. Calculate the highest common factor of f and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3 - x + 4 + 8. Let d be f(4). Suppose -5*v + 4*n + 18 = 5*n, -2*v - n + 9 = 0. Solve 2*k + 3 = v*i, -d*i - 3*k = -2*i - 18 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m - 2. Suppose 22 = -n - 4*p, 2*n + n = -4*p - 26. Calculate o(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 369 by -123.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 2*z**3 + 46. Let f(n) = -3*n. Give h(f(p)).\nAnswer: 54*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.564 - -0.036. Let c = -1.4 - w. Let a = -14 - c. Sort -0.5, -17, a in ascending order.\nAnswer: -17, a, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116 divided by 20.\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 77d22 (base 14) to base 15\nAnswer: 5b1ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 16\/3*b + 34\/9*b**4 + 22*b**3 + 236\/9*b**2 = 0. Calculate b.\nAnswer: -4, -2, 0, 3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l + 2. Let x be f(0). Suppose i = -x*i + 228. Suppose -2*s + s - 2 = 0, 2*h = 5*s + i. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8211 = -j - 1411. What is the hundreds digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 302 + -16. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 10*c - 12. Give r(13).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1181*y + 665*y + 3535 = -709*y + 22256 for y.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 4*h**2 - 434*h + 61. Let c be r(-19). Let p(b) = -b. Let n be (-18)\/12*1*2. Let v be p(n). Solve v*f + 5 = -c*z, z - 3*z - 25 = -3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.33, -1, -0.2 in descending order.\nAnswer: 2.33, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - r**2 - r - 1. Let l be h(0). Let q be ((-56)\/(-3))\/14*3. What is the closest to l in 0.5, q, -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/(-5) + 3 - 3. What is the third derivative of -3*x**2 + 14*x**j + 39*x - 6*x**2 - 39*x wrt x?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1037840 and 297?\nAnswer: 308238480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -1.21 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 46bc12 (base 14) to base 16\nAnswer: 24d708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of 1\/12*u**4 + 0*u**3 + 3\/2*u**2 + 4*u + 0. Differentiate t(q) wrt q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*((-168)\/(-36) - 3). Suppose -1248 = -p - 3*p. Let k be (4\/g)\/(p\/(-60)). Which is the closest to -2? (a) 0.3 (b) k (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 7*j = 228. List the prime factors of j.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10, 9, 8, 7, 6?\n\"Answer: -c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 43*u**2 - 3*u - 29. Is x(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10623068, 10623065, 10623062, 10623059, 10623056?\nAnswer: 10623053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 58403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**5 + 6*p**4 + 7*p**3 - 6*p**2 - 8*p = 0.\nAnswer: -4, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-8))\/(-3)*-2*-2. Put 0, o, -4 in decreasing order.\nAnswer: o, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101001000110101100001 + -11010000?\nAnswer: 10101001000110010010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 9425+-0.18\nAnswer: 9424.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -14*x + 6. Let p(c) = 13*c - 7. Give -4*p(w) - 5*t(w).\nAnswer: 18*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 8:21 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -8. Let l = o - 3.5. Let y = 10.1 - 10. What is the closest to y in -1, l, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 17\/2 of a tonne?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 4*q - q)*(2*q - 5*q + q) + (-4*q - q + 4*q)*(q - 2*q + 2*q) + q**2 + 2*q**2 + 2*q**2 + 72*q**2 + 99*q**2 - 251*q**2.\nAnswer: -74*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102120111 + -22?\nAnswer: 102120012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87377 divided by 220.\nAnswer: 87377\/220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7267, 29075, 65423, 116311, 181739?\nAnswer: 261707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10)\/12)\/(26\/(-156)). What is the second derivative of 1402*a**5 - 1446*a**m + 18*a + 13*a wrt a?\nAnswer: -880*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (3\/(-1) - -2)*-18 and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4*(-4)\/48)\/(2\/(-6))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o**2 - 1. Calculate g(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*w**2 - 15*w**2 - 2*w**2.\nAnswer: -40*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 1\/6 (c) -15 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-588)\/(-35) + (-135)\/75\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(5\/36)*98\/(-294).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(180) + (-2*sqrt(180) - sqrt(180) - sqrt(180)))*6)\/sqrt(10))\/(sqrt(96)*-4*-6))**2.\nAnswer: 27\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2872417\/105 + 27357. What is the common denominator of b and 1\/26?\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**4 - r + r)*(-3*r + 3 - 3) - 10*r**5 + 0*r**5 + 2*r**5 - 4*r**5 + 5*r**5 - 2*r**5.\nAnswer: -15*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/66930 and 19\/1940?\nAnswer: 133860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.7 - 0.7. Let t = -55.6 + 51.6. What is the second biggest value in 1\/2, t, b, -1\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 - -42. What is the highest common factor of 60 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-498)\/45 + 18\/27)*-155.\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y + 2. Let p = -29 - -16. Let j = p - -9. Let f(x) = -x - 4. Let w be f(j). Determine q(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**4 + 0*r**4 + r**4 + (-2*r - 3*r + 3*r)*(3*r**3 - r**3 + r**3) + r**4 - 4*r + 4*r + 0*r**4 - 4*r**4 + 0*r**4 + (4 - 4 - r)*(r + 3*r**3 - r).\nAnswer: -14*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - 1766 = -1724 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.538 to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of q**8\/40320 + 11*q**7\/10080 + q**6\/144 + q**5\/60 - 10*q**4\/3 - 3*q**2. Let w(z) be the third derivative of k(z). Factor w(j).\nAnswer: (j + 1)*(j + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 516497, 1033215, 1550153, 2067311, 2584689?\n\"Answer: 110*a**2 + 516388*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/291006 and 149\/519588.\nAnswer: 164709396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19\/27 + 1\/27. Suppose 12 = 5*s - s + 4*o, 5*o - 7 = -s. Let a be (-1 + 1 + -2)*s\/(-22). What is the closest to g in a, 0.6, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 5*m - 5*t = -37, -4*m + 27*t = 189 - 66 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 7*q + j = -12, 0 = 5*q + 5*j - 40. Solve 3 = q*x - 7*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -16*d**2 - 71 + 79 + 23*d**2. What is the remainder when 34 is divided by k(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - d = -242, -3*v + 8*v + 2*d - 244 = 0. Calculate the greatest common factor of 8 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 2605851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 7*n**2 - 10*n - 4. Let m(h) = -h**3 + 6*h**2 + h + 3. Let r be m(6). Let i be c(r). Let y = 115 - i. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1582603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 947 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-nine quarters of a litre?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*21\/2 - (-4)\/8. Are 10 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 0 + 13 = -3*z, 5 = 5*s for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 101 + -112. Are 5 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -141 + 290. Let r = -149.77 + s. Round r to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of 686*b**5\/5 - 637*b**4\/2 + 252*b**3 - 92*b**2 + 16*b + 5. Solve r(l) = 0 for l.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 6*k - 5*k = -564, 5*d = -k + 932. Calculate the remainder when d is divided by 64.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 8*v - 2 - 3*v**2 + 4*v**2 - 5. Let m(s) = 4*s**2 + 7*s - 12. Let a(y) = 11*y**2 + 21*y - 34. Let q(j) = 3*a(j) - 8*m(j). Give 4*k(g) - 5*q(g).\nAnswer: -g**2 - 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -286 + 46 = -4*g. Does 20 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 663931, 663928, 663925, 663922, 663919, 663916?\n\"Answer: -3*o + 663934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14319.\nAnswer: 3, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 286688*q**2 + 6*q + 3. Let t be p(-3). Suppose 1929823 + t = 11*w. What is w rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 (base 15) in base 4?\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44244 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1179, -4, -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 0.9, 1\/4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39128188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2 - 2*h + 1. Let m = 2 - -3. Let l = m + -4. What is the units digit of o(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -262, 3\/14, -31\/4 in increasing order.\nAnswer: -262, -31\/4, 3\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -123 and -11649.\nAnswer: 1432827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -467646*p**2 - 2*p - 2 + 233647*p**2 + 233330*p**2 - 3 as s*p + d*p**2 + j and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80 and 1631090?\nAnswer: 13048720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -33, -6, 1\/107?\nAnswer: 1\/107","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 3, 0.1, 2\/23, -2\/19?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**4 - 126*v**3 + 1653*v**2 - 5004*v + 4452.\nAnswer: -3*(v - 7)*(v - 2)**2*(v + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -196989 >= -196988?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*z + z + 0*z)*(-10*z**4 - 97*z**4 + 12*z**4).\nAnswer: 570*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 320*d**3 - 5200*d**2 + 6885*d + 131220 = 0.\nAnswer: -4, 81\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1249+-0.1009\nAnswer: -1249.1009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 89*a + 5257. Calculate v(-59).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01307295 to four dps.\nAnswer: 0.0131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159048 is divided by 518?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**9*a**(1\/12))\/(a*a*a*a\/(a**(-2)\/a))**2 assuming a is positive.\nAnswer: a**(-59\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2 - 6. What is p(-4)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5144 is divided by 156.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2233 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, r: 5, b: 3}. Give prob of picking 2 r and 2 b.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**5 - 238*i**4 - 2956*i**3 + 12328*i**2 + 19984*i - 29120 = 0.\nAnswer: -14, -2, 1, 4, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4a718 - 2?\nAnswer: -4a71a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 31*b + 150. What is the remainder when 28 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.3, -1, -14?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 193 + 51 = 0. Suppose 12 = -2*v - d. Let r = -62 - v. What is the lowest common multiple of 7 and r?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 8*l + l + 3291 - 7*l**2 - 12*l**2 - 3291. Let j(w) = -10*w**2 + 4*w. Give -3*h(p) + 7*j(p).\nAnswer: -13*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*m + 40 = 0, 2*m + 2*m + 87 = 3*b. Let l be (30\/b)\/((-1)\/5). Calculate the lowest common multiple of 22 and (l\/(-9))\/((-2)\/(-66)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**3 + 47*d**2 + 24*d - 41. Give v(24).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 78\/13*(-81)\/(-27)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4307.942 centimeters in millimeters?\nAnswer: 43079.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 20 = r, 5*z = -4*r + r - 10. Are r and 6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 3436 + 3442 = 3*q - 3*i, 0 = -4*q - 3*i + 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6, 20, 96, 246, 494?\n\"Answer: 4*p**3 + p**2 - 5*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1083, -2152, -3107, -3900, -4483, -4808?\n\"Answer: 8*t**3 + 9*t**2 - 1152*t + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*y + 18 = -16 - 34. Solve -10 = -18*t + 22*t - y*i, 3*t = i - 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312736 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2531*q**2 - 1237*q**2 - 2*q + 0*q - 1289*q**2 + 2*q.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -76 + -70732?\nAnswer: -71030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 8.3. What is the closest to -0.2 in 5, -2\/9, u?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*h = 35*h - 4*g + 168240, 2*h = g + 15285. What is the remainder when h is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 2*b**2 - b + 4. Let z be 2\/15 - 27\/((-4050)\/(-20)). Give u(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: c5 (base 16) to base 2\nAnswer: 11000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8720 is divided by 2322.\nAnswer: 1754","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - -6. Let l(o) = -12*o + 184*o**2 + 5 + 4*o + s*o**2. Is l(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*b + 18 = -10*b, 0 = 2*a - 2*b for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1475621 (base 8) to base 4\nAnswer: -1213232101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 14. Let s = 12 + x. Suppose 265 = s*c - 0*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 0*w + 1 + 0 - 3*w + 3. Let a be r(-7). Solve 2*p + a = 7*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20208 (base 16) to base 5.\nAnswer: 13202332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 59. What is the highest common divisor of 68 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/607 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.5 - 10. Let p = -2.5 - f. Let s(w) = -w**2 + 5*w + 5. Let q be s(6). Which is the closest to p? (a) 0.2 (b) 0.1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9757 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 38 = -8. Let -4*s**2 + 2 + 2*s**2 + 2*s + 3*s**3 + s**3 - o*s**3 = 0. Calculate s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(294)\/sqrt(96))\/sqrt(7) - (0 + (sqrt(7) + sqrt(700))**2).\nAnswer: -847 + sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 23 + (-19 - -5).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 b when two letters picked without replacement from {b: 1, n: 2, u: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 276933103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -405*c + 518 = 1328 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.21 - -10.21. Let t = s - 13. Which is the nearest to 0.1? (a) t (b) 1\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31b334 (base 13) to base 14\nAnswer: 2254c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {m: 12, n: 7}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -5 (b) -7598 (c) 2 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 - 2726 = -27*n. Is 5 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -5*y**3 + 4*y**2 + 5*y + 1. Let r be h(-1). Let f = 180 - 177. Solve -r*l = -z - 19, 0 = 5*l - 6*z + f*z - 27 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.038 + 0.138. Let l = 166.7 + -167.1. Which is the fourth biggest value? (a) o (b) -0.3 (c) l (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 2, 0.3.\nAnswer: 0.3, 2, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n*v**2*x - 2*n*v*x - 1979*n*x**2 + 2*v**2*x**2 - 22*v**2 - 54*v wrt x?\nAnswer: -3958*n + 4*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1154 + -1129. Let o(v) = 2*v - 50. Give o(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1165, -2248, -3177, -3874, -4261, -4260, -3793?\n\"Answer: 13*j**3 - j**2 - 1171*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-11)*n*n**(-1\/6))\/(n*n**3*n*n\/(n*(n**(-13)*n)\/n)*n) assuming n is positive.\nAnswer: n**(-175\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 493457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 991447.6779773 + -991392.678. Let u = 55 - c. Round u to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 667998?\nAnswer: 2, 3, 17, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -248 + 244 - (2 + (0 - 16)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**3 - 4*n**2 - n + 2. Let z be p(-2). Suppose -517 = -z*w + 3*w. Suppose 3*x - 5*y - w = 0, -2*x + 855 = 3*x - 5*y. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f**3 - 2*f**2 - 4*f - 2. Let y = 2 - 4. Let r be g(y). Let d be ((-4)\/3)\/(5 - 46\/9). What is the highest common factor of r and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 2:04 PM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 + (-2945)\/248)*-5.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-3)*1)\/(88\/33)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36 - -28 - 15) + 16?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*d**2 - d**3 - 4*d**3 - 6*d**2 - 2*d)*(-2*d - 4 + 4)*(5*d + 9 - 9).\nAnswer: 50*d**5 - 20*d**4 + 20*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1561719 + -9?\nAnswer: -1561728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 13293*q - 79627. Calculate k(6).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/10243929 and -85\/18?\nAnswer: 61463574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10\/27 - -104\/135. Let s = 23.2 + -23. Let i = 2.4 + -2. Which is the closest to w? (a) s (b) 1\/4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64.6 - -65.2. Let q = -2 + 1.5. Sort -3, -1\/5, o, q in descending order.\nAnswer: o, -1\/5, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/9 + 4*t\/9 + 14.\nAnswer: -2*(t - 9)*(t + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 338 a factor of 19584615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -524235615010 and -0.212.\nAnswer: -524235615010.212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vnkwwecenwn. Give prob of sequence vwc.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 85 = -76 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 71 - -7*(-2)\/7. Let p = b + -102. Find the common denominator of 67\/455 and p.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1014 + 1949 - 929 + y.\nAnswer: y + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 7 (b) -0.4 (c) -9 (d) 0.6 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30495427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3953807 to the power of 1\/2, to the nearest integer?\nAnswer: 1988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 6 = 4*d - 26, 15 = -4*s + 3*d. What is the lowest common multiple of 17 + -11 + (2 - s) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 464943573?\nAnswer: 3, 29, 1781393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 11 = 2*p, 0 = -3*o - 92*p + 91*p - 13 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0523085 rounded to four decimal places?\nAnswer: 0.0523","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -213*f + 44. Let d be 10\/4 - 99\/(-22). Let k be v(d). What is k rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -925*-88.\nAnswer: 81400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 338993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 31.0468?\nAnswer: -34.0468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 36.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 156075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -237150 divided by 30\nAnswer: -7905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/268780 and -33\/9664.\nAnswer: 4300480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 2034003?\nAnswer: -2034002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/20)\/(12\/(-16)))\/(3047\/(-1385))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 + i - 1. Let z(o) = 10*o**2 + o - 2. What is -3*j(n) + z(n)?\nAnswer: 4*n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12*10\/15 - (304790 - -18). What is f rounded to the nearest ten thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2754856 to the nearest one hundred thousand.\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (61 - 115 - 68)*(3*t - 4*t - 3*t)*(4 - 8 - 2) in the form b*t + s and give b.\nAnswer: -2928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence czb when three letters picked without replacement from zzpbqcozzozozop?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1899935426?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + (-6*2*sqrt(28) - sqrt(28)))\/sqrt(4).\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 406933*y - 258182*y - 1439970*y.\nAnswer: -1291219*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2.20697ns?\nAnswer: 0.00000220697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000985818194 rounded to five dps?\nAnswer: -0.00099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 10. Let l = m + -6. What are the prime factors of 12 - -1*2\/l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120001 (base 3) to base 8\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 88734182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 935 + -931. Let j(n) be the first derivative of -1\/3*n**3 - 8 + 0*n + 0*n**2 + 1\/8*n**r. Factor j(o).\nAnswer: o**2*(o - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.78 (b) 4\/3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25.9305607 - 23.470549. Let x = i + -2.46. Round x to 6 decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*q + 20*q - 3*q)*(20*q - q**2 - 15*q - 16*q) in the form w*q + l*q**3 + i*q**2 + u and give l.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.6, -204, -2\/13, 3, 2 in increasing order.\nAnswer: -204, -5, -2\/13, 0.6, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*f**3 + 6*f**3 + 11*f**3 + (-5*f**3 + 4*f**3 + 3*f**3)*(0 - 3 + 4) to the form s*f**2 + o*f + k*f**3 + b and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -11039*j + 62*j**2 - 7*j**2 - 35*j**2 - 19*j**2 in the form v*j + i*j**2 + g and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1582 a factor of 13611528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 8 = -0. Suppose d*f + 11 = 53. What are the prime factors of f?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -174 - 0*(-1)\/2. Let l = -78 - w. Suppose 8*g - 4*g = l. Calculate the remainder when g is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83373562 + 0.01.\nAnswer: 83373562.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 307*u + 71. What is the thousands digit of f(16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216556 to the power of 1\/2, to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 902447 + -1108204975\/1228. Calculate the common denominator of v and -91\/16.\nAnswer: 4912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1530 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -2*j + 2, -53*j + 59*j = 2*d + 6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 10*s**3 + 8*s**2 + s + 1. Let t(c) = -c**3 - c**2 - c - 1. Let k(g) = -3*t(g) - 3*v(g). Find the third derivative of k(a) wrt a.\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/61 in 53, 3\/11, 0, 0.09?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s**3 + 13*s**2 - 11*s + 9. What is n(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 + a**2 + 5*a**3 + 8*a**3.\nAnswer: 13*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 249 * 2.\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (44\/10 - 5)\/((-36)\/40). What is the nearest to -2\/5 in f, 0.1, 2, 4\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 30 = 2*j - 3*m, -30 = -j + 5*m. What is the second derivative of 2*h + 0*h**5 - h**5 - 7*h**j - 2*h**5 wrt h?\nAnswer: -200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101 + (-133 - -20) + (-36 - 0).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3839328 divided by 4?\nAnswer: 959832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53198580.\nAnswer: 2, 3, 5, 886643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -3\/7, 1\/4, 1\/3, 0, 2.13?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j\/(j\/(j*j**29)))\/j))\/j*j**(-11)\/j assuming j is positive.\nAnswer: j**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 - 780*k + 76050.\nAnswer: 2*(k - 195)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 15 = 3*u - 4, -3*r - 3*u = 6. Let j = -225 - -235. Solve 3*v - r = -j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 452*s**2 + 21 - 559*s**2 + 50 wrt s?\nAnswer: -214*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 34409 and 34648 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 3*m + 20, 2*m = a - 2*a + 17. Let d = a - -11. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 + 25. Let q(b) = -6*b + 3. Does 15 divide q(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 10 = -9*x. Suppose 23 = 2*t + l, -2*t + x*t - 33 = -l. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**3 - 5*z**2 + 2*z = 0.\nAnswer: 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.585496 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 4*c + 3*d + 31, -2*d = -5*c - 33. Let m(q) = q**2 - 2*q - 8. Let j be m(c). Let n = 91 - j. Does 15 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 38*o - 20*o + 9 + 13*o**4 - 3*o**3 - 21*o. Let h(f) = -38*f**4 + 8*f**3 + 8*f - 28. Let l(w) = 3*h(w) + 8*x(w). Differentiate l(j) with respect to j.\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/((-1512)\/(-906)) + (-6)\/9 and 16\/21?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-123)\/39 - (-12)\/78?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 - -6850 - -5*(-1 + 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1536 (base 7) to base 14\nAnswer: 31d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -6*n - 5*i + 25, 5*n - 3*i + 7 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1131044062 and 0.115?\nAnswer: 1131044061.885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 899613148 to the nearest integer?\nAnswer: 965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 + 2753?\nAnswer: 2765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 - 21. Let o = z + -12. Suppose -2*f - 90 = -o*f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2162000 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 435529718 to the power of 1\/4, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57.74 or 246?\nAnswer: -57.74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4874419?\nAnswer: 11, 443129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1668\/(-16))\/(60\/(-10765)). Let b be (2\/4)\/((-1)\/37396). Let x = b + d. Find the common denominator of 3\/4 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4159.\nAnswer: 4159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/17729 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k + 10. Suppose f - 5*v + 20 = -v, 4*f = -v + 5. Let t be o(f). Calculate the greatest common factor of t and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -891258, -891262, -891266, -891270?\n\"Answer: -4*a - 891254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, q: 1, z: 1, a: 1, k: 1}. What is prob of picking 1 z and 1 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ptfftftpfffffftf. Give prob of sequence tf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s - 15*s - 10 = 0. Suppose 4*n = s - 30, 0 = 5*j + 2*n - 5. Suppose 6*g**5 + 5*g**4 - g**5 - 6*g**3 - j*g**4 + g**5 - 2*g**2 = 0. What is g?\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 62\/10 + (-46)\/230. Suppose -3*u - 4*d - 240 = -m*u, -5*u + 377 = d. Is 12 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, -2047, -2.64, -3\/2?\nAnswer: -2.64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -689100 to the nearest ten thousand.\nAnswer: -690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 116\/24 - 4\/(120\/(-5)). Suppose k = -4*v + 5*k + 12, -5*k + 35 = f*v. Suppose -2*l + 5 = u, 4*l - 3*l - 2*u = 0. Solve l*y + 1 = v for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -268*n**2 - 4013*n - 11. Calculate o(-15).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 + 5 + 2\/6. Let z(f) = f + 2. Let n be z(-2). Let n + 0*s - i*s**3 + 1\/3*s**2 = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r - 2912 = 8*r. Is r a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.21 * -421.\nAnswer: 88.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - b + b)*(-518*b + 11220 - 11220).\nAnswer: 1036*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*j - 6*j**5 + 26*j**5 - 9*j**3 - 26*j**5 - j**2 wrt j.\nAnswer: -360*j**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((b**(2\/5)*b)\/b)\/b)\/b)\/b**3*b*b*b\/b**(2\/7)*b\/b**5*b)\/(b**6\/b**4*b**6*b\/(b*b**(-2\/5))) assuming b is positive.\nAnswer: b**(-93\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**4 - 28*p**2 + 28*p**2 - p**3 = 0. What is p?\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2. Let k(w) = 3*w**2 - 3*w. Let y(d) = -6*d**2 + 7*d. Suppose -70 = 11*p - p. Let r(z) = p*k(z) - 3*y(z). What is r(f(n))?\nAnswer: -3*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1173 is divided by 550.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 100*w + 182. Let v(u) = 200*u + 367. Let i(z) = 7*g(z) - 4*v(z). What is the hundreds digit of i(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1)\/f)**(-2\/83)*(f*f\/(f\/(f**4\/f*f)*f))\/((f\/((f*f**(-3)*f)\/f))\/f*f))**41 assuming f is positive.\nAnswer: f**(3567\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 26 = -3*x + 5515, 18 = 3*j. Does 68 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -2*l**3\/3 - 96. Let o(x) = 2*x**2 - 35*x. What is o(k(u))?\nAnswer: 8*u**4 + 70*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*(((sqrt(396) + -1)*-3 - sqrt(396)) + -5).\nAnswer: -48*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39526 is divided by 6574.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.6 + 5. Let o be 56\/(-40) - (2 + -4). Sort 1, b, o in decreasing order.\nAnswer: 1, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-275 - -262) + 2 + -22 + -7\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 4:42 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -4, 5\/9, -0.08?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*l**3 - 64*l**3 - 21*l**3 + 31*l**3.\nAnswer: -102*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4*(-6*sqrt(12) - (-3 + sqrt(3) + 1)))**2 - 1*(5 + (-3*((sqrt(6)\/sqrt(2) - sqrt(3)) + -1))**2).\nAnswer: -832*sqrt(3) + 8162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4479 - 2245 + 2*n - 2255 + 2*n**2 to c*n + r*n**2 + t and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-7)\/(y**(-10)*y))\/((y**(-7\/5)\/y)\/y**(1\/4)))**(28\/5) assuming y is positive.\nAnswer: y**(651\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -857 - 16447 = 412*k for k.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1159.8839 to the nearest 10.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*n + 6801 - 1925 = 0, 8 = 4*n. Solve -5*y = c - 1247 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**4)\/(c\/(((c\/(((c*c**(-11))\/c)\/c))\/c)\/c))*c**(1\/2)*c**(-11) assuming c is positive.\nAnswer: c**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/1150 and -113\/796260?\nAnswer: 3981300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6962 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -0*z + b - 187, 3*z - 5*b = 521. Let w = -85 + z. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 0 + 4*x**2 - 1 + 1 in the form g + h*x + b*x**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d - o - 3, -142*o = -4*d - 147*o + 9 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of 7\/60*j**5 + 5*j**2 + 0*j + 0 + 1\/6*j**3 + 1\/24*j**4. What is the tens digit of g(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 32 and -535.\nAnswer: -17120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -230*(-1 + 7) - 12\/6. Let y = -291242\/219 - 2029\/73. Let u = a - y. What is the common denominator of u and -63\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211026024?\nAnswer: 2, 3, 11, 266447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5443 * 0.8\nAnswer: 4354.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 30, -198 = 303*y - 308*y - 3*x. What is the lowest common multiple of y and 1276?\nAnswer: 11484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -3)*(-105)\/(-2). Let k = 2895\/8 + -14529\/40. What is the common denominator of k and 340\/w - 6\/4?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -3 + 1 + -3 + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9\/14 - 29\/56. Put 4, -0.1, 0, z in descending order.\nAnswer: 4, z, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 140 + -140. Suppose -z = -5*s + 121, r = -0*s + 5*s + 2*z - 118. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160947673 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 42347.024+26.394\nAnswer: 42373.418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3553206185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ejeejjjeee. Give prob of picking 2 j and 2 e.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g - 9 = -11*g, 4*t - 2*g + 10 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0622 - 18.2022. Let l = z - -18. Let r = 1.06 - l. What is r rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6\/11 (b) -3 (c) -2\/175\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.247 rounded to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/3)\/(2\/(-12)). Determine k so that -3*k**3 + 4*k**3 + 3*k**p - 7*k**2 + 3*k**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(-10)\/(-525)*-120.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -171, 853, 4275, 11295, 23113, 40929?\n\"Answer: 200*z**3 - z**2 - 373*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-65))\/(32\/(-30)). Let s = n + -241\/1144. Suppose -2*c - 2 = 4*h, -h + 3*c = -0*h + 4. Are h and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 13\/(-3) - (-10 - 0)\/2. Let w = -1.4 - -1.5. What is the nearest to w in 0.2, 2\/29, b?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s**2 + 4*s**3 - 9*s**3 + 2 + 2*s**2 + s**2 in the form k*s**3 + w*s**2 + f + m*s and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xxxxxxxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.248 + 2.752. What is the nearest to 3 in 1, b, -0.7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -321284 divided by -31\nAnswer: 10364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 24472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 195, 720, 1599, 2832?\nAnswer: 4419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {q: 4, b: 2, x: 7}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 54719 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -14*z + 4. Let o(d) = -13*d + 9. Let x(s) = 25*s - 20. Let l(r) = -5*o(r) - 2*x(r). Calculate 6*h(g) + 5*l(g).\nAnswer: -9*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 3. Suppose 255 = -v*h + 39. Let q = h + 49. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 - 15 - 32 - 37)*(k - 40*k**2 - 70 + 70).\nAnswer: 4040*k**2 - 101*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/10)\/(1*66\/(-24)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 83761850421 - 0.23?\nAnswer: 83761850420.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -13*h**3 + 6*h**2 + 22*h - 10. List the prime factors of u(-4).\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49406.\nAnswer: 2, 7, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of p**2 + 11 + 0*p**2 + 3 - 2*p**2 wrt p?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 1)*2 + 2032343 + 4. Let u = 3617345 - f. Suppose -u = 2*r - 7*r. What is r rounded to the nearest 10000?\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -209*i + 282*i + 1 + 245*i. List the prime factors of y(1).\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1768 - -1588227521?\nAnswer: 1588225753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 4. Let n be (-2 - -6)*y\/(-10). Let k be -3*(4\/(-3))\/2. Is n greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0*v = -y, -3*y - v = 4. Let p be (-1)\/(15\/24*y). Is 1 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2406 + -2430.325. Let k = -904.875 + 905. Let d = k + l. What is d rounded to 0 dps?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 58 = -0*r - b, -b - 2 = 0. Suppose 0 = -42*s + 45*s - r. Solve 0 = s*p + 5*g + 30, 10 + 2 = 4*p - 5*g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -9*o**2 + 13*o. Let i(n) = -4*n**2 + 6*n. Let h(p) = -5*i(p) + 2*m(p). Let t(z) = -2*z. Determine t(h(q)).\nAnswer: -4*q**2 + 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 7*s - 4*i, 5*s - 1087*i = -1089*i + 35 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 399, 1363, 3245, 6351, 10987?\nAnswer: 17459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2. Let c(h) = -391*h - 49. Determine c(y(m)).\nAnswer: -391*m**2 - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 - 24*x + 27. Let y be h(11). Let p(u) = u**3 - 3*u**2 - 3*u - 6. Determine p(y).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(-8\/7)*h*((h**(-27)*h*h*h)\/h)\/h*h\/(h\/h**28)*h*h*((h\/(h*h**18))\/h)\/h assuming h is positive.\nAnswer: h**(-90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5334\/5 or 1067?\nAnswer: 1067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r - r + 3*r)*(4*r**2 + r**2 - 6*r**2).\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 421017\nAnswer: -2\/421017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000019181 to 7 dps.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 14 = -6. Let c = 5 - g. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05*1.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 69, -40, 200\/17 in ascending order.\nAnswer: -40, 200\/17, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -2. Let h be 1 - 0 - (-2 - a). Let s(y) = 2*y**3 - 3*y**2 + y + 4. Is s(h) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 30 - 38 = 0. Suppose -c*u + 184 = -0*u. List the prime factors of u.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.1423408 to one dp.\nAnswer: 22.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*i**3*o*s**2 + i**3*s**2 + 1907*i**3*s + 25913*i**2 - i*o + o*s + s**2 wrt i?\nAnswer: 102*o*s**2 + 6*s**2 + 11442*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -829 divided by 1740.\nAnswer: -829\/1740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**2\/5 + 32587284*y\/5 = 0.\nAnswer: -10862428, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**8\/1680 - i**5\/60 - i**4\/12 + 2*i. Let z(m) be the third derivative of o(m). What is the derivative of z(d) wrt d?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of m**3\/3 - 27*m**2\/2 + 119*m - 121. What is the tens digit of h(30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2190 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 - 30. Let f(q) = -q**2 + 1. Let o(z) = 5*z**2 - 1. Calculate x*f(y) + o(y).\nAnswer: y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15\/2641136 or 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3700\/3367)\/(-50))\/((-4)\/14)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -42, -3\/2, 7\/3 in descending order.\nAnswer: 7\/3, -1\/2, -3\/2, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -109*h**7\/5 + 11*h**5\/30 + 16*h**3 + 45*h**2 + 38*h. What is the third derivative of m(s) wrt s?\nAnswer: -109872*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -d329a2?\nAnswer: -d329a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**4*h*h\/h**(-2)*h*h\/h**(-3)*h**(-2) assuming h is positive.\nAnswer: h**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifteen quarters of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/32*12*(-41 - (-9 + 0)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 273103.97 rounded to the nearest one thousand?\nAnswer: 273000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.9 - -100.1. Let v = i + -105.76. What is v rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-1))\/(((-224)\/7)\/(-4))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 19 - 2 = 0. Let b be (-1)\/(-3 - (-20)\/q). Differentiate -31*k**2 + 8*k**3 + b + 31*k**2 - 1 with respect to k.\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*z + 1946 + 4118 + 3536 = 0 for z.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -22560000 to the nearest one million.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-7)\/(-2))\/(36\/288). Solve x*t - 16 = 20*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 449, 455, 449, 425, 377, 299, 185, 29?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 69, 9, -25, -23, 4 in increasing order.\nAnswer: -25, -23, -4, 4, 9, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**2\/7 + 318*w\/7 = 0.\nAnswer: -159, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.367 * -29.1\nAnswer: -10.6797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4 = -4*o + 1, -o - 2*p - 2 = 0. Suppose o = -3*h + 6. Solve -m = h*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/1108 and -53\/12?\nAnswer: 3324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 divided by -1?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -243*f**2 + 3*f + 6. Let d(m) = -487*m**2 + 7*m + 13. Calculate -6*d(z) + 13*n(z).\nAnswer: -237*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 224 and 469?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 4. Let c(k) = 2*k**2 + 7. Let d(h) = -4*c(h) + 7*v(h). Let i(g) = -2*g**2 - 1. Calculate d(i(z)).\nAnswer: -4*z**4 - 4*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 17561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34875.\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r**2 + 40*r - 67. Give d(-7).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/8 (b) -1\/5 (c) -10 (d) -641\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.61 - -0.42. Let r = x + 3.19. Is 0.07 at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61586, 61553, 61520, 61487, 61454, 61421?\nAnswer: 61388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2\/13, -1, 0.301, -4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4 + 1302*m**3 - 309582*m**2 + 31505922*m - 1134213192.\nAnswer: -2*(m - 189)**3*(m - 84)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -858, -2000, -3124, -4230?\nAnswer: -5318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 946582.\nAnswer: 2, 7, 13, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -656 - -657. Which is bigger: 292 or x?\nAnswer: 292","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-23012)\/(-20) - 6\/(-15). Suppose 1913 + g = 8*q. List the prime factors of q.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*w + 24 = -5*w, w - 16 = -3*j. Let m be 10\/(-7 + 2) + j. What is the highest common factor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -568, -12, 3 in descending order.\nAnswer: 3, -12, -568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**5\/11 - 2*a**4\/11 - 184*a**3\/11 + 360*a**2\/11 = 0.\nAnswer: -10, 0, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - -2. Let o(f) = 5*f**2 + 2*f - 3. Let s be o(c). What is the greatest common divisor of s and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 35 + (15\/5 - -1). What is the highest common factor of 13 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177140203 to the power of 1\/2, to the nearest integer?\nAnswer: 13309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*d = 63, 4*d - 66 = -2*u - 16. Let m = -3 - -9. Suppose -5*x + m*x - 19 = 0. Does x = u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 18 = 0, -2*d - 450470 + 450482 = 2*m for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 4. Let b(h) = -27 - 6*h - h**2 - 11*h - 1 + 4. What is the units digit of b(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25805273, -51610543, -77415813, -103221083, -129026353, -154831623?\nAnswer: -180636893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.112 + 0.132. Let k = -0.52 + z. What is the fourth smallest value in -5, k, -29, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) + -1*sqrt(65)*2 + sqrt(65) - (-3*sqrt(65) + sqrt(65))*-5)*-5)\/(((sqrt(180)*-1)\/sqrt(12))\/(sqrt(3) - (sqrt(300)*2 + sqrt(3)) - sqrt(3))).\nAnswer: 1050*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -23, -57, -127, -245, -423, -673, -1007?\nAnswer: -1437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -209*s - 2339 with respect to s.\nAnswer: -209","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = h. Put -5, h, -2 in ascending order.\nAnswer: -5, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -25, -108, -287, -598, -1077, -1760?\nAnswer: -2683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*v + 234*v + 37*v**2 - 503*v + 121*v - 35*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 1128.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**4\/6 - 13*j**3\/3 - 20*j**2. Let a be q(7). Put a, 4, 7 in descending order.\nAnswer: 7, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-12)*(-15)\/10. Let k = -67.4 + 67. Let v = 2 + 0. Which is the nearest to -1\/2? (a) k (b) v (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, h: 7, l: 1, y: 6, r: 2}. Give prob of picking 1 y and 3 h.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42 + 26. Let w = 12 + j. Sort 1, 9, w, -5 in ascending order.\nAnswer: -5, w, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25 and 300?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 9*n - 8*n - 1 - 1 - 3. Let q be a(7). Solve 0 = -g + 2 + q for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.284 - 6.284. What is the third biggest value in 0.4, f, -1\/7, -4\/3, 0.95?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**2 + 0 - 16*y - 1 + 13*y**2 - 1 - 1 to v*y + x + f*y**2 and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 0*s - s - 278, -3*o - 4*s = -283. Let g = o - 84. Solve -3*p - g = -6*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 193137 divided by 7\nAnswer: 27591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 3*d + 9. Calculate the remainder when 34 is divided by a(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 4:55 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12952759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1665)\/(-60))\/37*16?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 375149853?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pyyb. What is prob of picking 1 y and 1 b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 73812288896722704 - 73812288365077910.99999977. Let a = -531644832 + q. Let j = -39 - a. Round j to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 1 + 21 = x - h + 7, -3*x = 3*h for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00800939 to 4 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3330b6 (base 15) in base 16?\nAnswer: -253c68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-14) + (-258411)\/(-21). Let h = -7928 + t. Let a = h + -52417\/12. Calculate the common denominator of 117\/10 and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of 2*x**3\/3 + 6*x - 6. Let u(k) = k. Give 8*u(y) - v(y).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2882832.\nAnswer: 2, 3, 19, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-1 + (sqrt(5103) - 2*sqrt(5103)))**2 - (sqrt(343) + -1 + 2)**2*5).\nAnswer: -96*sqrt(7) + 20304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 41*i + 252. What is n(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5298242 = -g - 998242. What is g rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 32?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 1. Let u(y) = 2*y**3 - 2*y - 3. Let t(w) = -w**2 + 1. Let b be t(0). Let f(x) = 3*x**2 + 2*x - 1. Let l be f(b). Calculate l*g(c) + u(c).\nAnswer: 2*c**3 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -17, -29, -41?\n\"Answer: -12*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-3) + -3 + (-8 - -2). Which is the nearest to -0.2? (a) r (b) -4 (c) -2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + sqrt(2736) + 0 - (sqrt(19) - sqrt(1216)*-5))**2*3.\nAnswer: 16473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 402847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1377 - 2518 - 2*q**2 + 1141.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -656, 0.3, 5\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -21\/2. Let i = -0.16 + -10.84. Let z = 8 + i. What is the closest to m in 1\/7, z, 5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5667, -22928, -51685, -91932, -143663, -206872, -281553, -367700?\n\"Answer: r**3 - 5754*r**2 - 6*r + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 138096135*z**4 + 30358785*z?\nAnswer: 1657153620*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, -173912 in ascending order.\nAnswer: -173912, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/((sqrt(108)*-1)\/sqrt(12)) - (-2*sqrt(2299) + (sqrt(19) + 1 + sqrt(19))*4)**2.\nAnswer: -3740 + 111*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -13. Let y be (-6)\/12 - 27\/f. Find the second derivative of -7*l**4 + 34*l + y*l**4 - 26*l wrt l.\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/(-4)*2\/(-3). Solve -3*u = 2*f - 3, -q*f + 2 = -u + 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -64 - 62?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 693153408 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 6*o + 7. Let h = 6 + -11. Let q be c(h). Suppose 3*a - 665 = -q*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 11:13 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -2*h**2 - 1\/8*h**4 + 0*h - 1\/3*h**3 + 0. Let f be x(-6). Calculate the greatest common factor of 2 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + (35 - (-17 - -13) - -18)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14286?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**2 - 13*y + 13*y)*(-30*y - 37*y + 14*y) - 4*y**2 + 2*y**3 - 1 + 4*y**2.\nAnswer: 267*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -237435? (a) 3 (b) -5\/2 (c) 4 (d) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/118182925?\nAnswer: -2\/118182925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 - 2*z - 10. Let v be p(3). Suppose 2*l = 7*l + s + 2, 0 = v*l + 3*s + 6. Factor -1\/4*d**2 + 0 + l*d.\nAnswer: -d**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 10. Let t(v) = -153*v - 141*v + 420*v - 125*v - 9. Determine -3*k(x) - 4*t(x).\nAnswer: -4*x + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.2394mg to micrograms.\nAnswer: 11239.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0)**(-14\/5)*n**(-1\/7)\/n**(4\/7))\/((n*n*n*n*n\/n**(-2)*n)\/n**8)**(4\/5) assuming n is positive.\nAnswer: n**(-5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 7*z - 8. Let q(h) = 25*h - 23. Let k(o) = 7*m(o) - 2*q(o). Let c(v) = v + 11. Determine 4*c(g) + 5*k(g).\nAnswer: -g - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 3. Let x be (-2)\/(-4)*16 - h. Let t(l) = l**3 - 6*l**2 + 6*l - 5. Let u be t(x). Solve u*c = 4*b - c + 6, 2*b = 2*c for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 797 + -797.37. Let x = 0.37 + q. Let o = -3.01 - -0.01. What is the third biggest value in x, -5, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16 + 44?\nAnswer: 2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 148009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3101 is divided by 999.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -19*w**6\/120 + 19*w**2. What is t(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 23*w - 33. Calculate the smallest common multiple of f(3) and 44.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -21, -1, 244, 5 in descending order.\nAnswer: 244, 6, 5, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 + -169\/4. Let m = 19 + -18.5. Which is the nearest to -2? (a) g (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r - 250 = -916. Let i = 77 - r. Let w(g) be the first derivative of g**4\/4 - g**3 + 2*g**2 - 1. Calculate w(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 4*s + 1. Let u be y(3). Let j = 7 - u. Solve 3*r + r + 3*m = j, 2*r + 2*m = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d + 5. Suppose 10 = 2*b + 5*x, -2*b + 3*b - 15 = -5*x. Calculate z(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15278689661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*w**2 - 74*w**2 - 66*w**2.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1850*o - 24 = 1848*o. Let q(m) = -m**2 + 11 + 21*m**3 + 9 - 13*m - 7*m**2. Let b be q(o). What is b rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -2\/7443189?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14071836 (base 9) to base 4.\nAnswer: 122202100212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (21\/(-4))\/(7 - (-482811)\/(-68964)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10782396\/23 or 468799?\nAnswer: 468799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -139 + 219. Suppose -7*t = -5*t - z. Suppose -3*s + t = -116. What are the prime factors of s?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 2 - 7)*(2*t + 3 - 3)*(4 + 0 - 2).\nAnswer: -76*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3)*y*y**(-3))\/((y\/(y**6*y))\/(((((y\/(y*y**3))\/y)\/y)\/y*y*y)\/y)) assuming y is positive.\nAnswer: y**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + r - 495 = -r, 2*r - 91 = -w. Let v(z) = -z**3 - 44*z**2 + 91*z - 52. Let g be v(-46). Is 5 a factor of w\/4 + g\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 2, 0.3, -0.2, -5905?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 8*h**2 + 16*h + 52. Calculate r(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -63.1 + 23.1. Let b = -39.999905 - j. Round b to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 - -362?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/3 + 5*v\/3 + 100.\nAnswer: -(v - 20)*(v + 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 15*z + 19. Let g(y) = -60*y - 77. Let a(f) = 2*g(f) + 9*i(f). Let x(d) = 5*d + 6. Suppose 122*l - 132*l + 61 = 1. Determine l*a(w) - 17*x(w).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/75))**(-3\/2))**(-1\/4) assuming i is positive.\nAnswer: i**(1\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 8*t**2 + 7*t - 4. Let h be r(-7). Suppose 3*k - 2*n + 41 = 5, 24 = -2*k + 2*n. Is (-9474)\/h + 2 + k\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0600835 rounded to four dps?\nAnswer: 0.0601","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-4) - 0) + 5. Find the second derivative of 6*y**k + 0*y - 6*y - y wrt y.\nAnswer: 72*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/4*75\/270\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-10)*1*(55\/(-22))\/((-810)\/144).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (74 - -3)*(1 - 0). Calculate the greatest common divisor of 11 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -90 - -94. Suppose -58*i = -60*i + x. Solve -1 = 5*s - 3*q + 4, 0 = i*s - 5*q - 17 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 8\/(-32))*4. Suppose 0 + 2 = p. Let b = 4 - 3. Solve -b = p*u - q*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10427656 divided by -31.\nAnswer: 336376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -6*v + 11. Let g(s) = -2*s - 3. Let x be g(4). Let b(o) = o - 2. Calculate x*b(a) - 2*k(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 572838736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3593.598 milligrams in nanograms?\nAnswer: 3593598000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -119*f**4 - 146*f**3 + 2118*f wrt f?\nAnswer: -1428*f**2 - 876*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from upvzwzxpvzv. Give prob of sequence pp.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/4)\/(1\/(-4)). Suppose h*n + 3*v - 32 + 10 = 0, -3*n = -2*v + 2. Factor 13 - 13 + 9*y**n - 3*y**4 - 6*y.\nAnswer: -3*y*(y - 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*o = -4*v - 33, -5*o - 25 = 0. Is -4 >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 8:59 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 3, 1 in increasing order.\nAnswer: -17, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111210 (base 5) to base 8.\nAnswer: 46143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 285 and 9386?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 129215 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 351?\nAnswer: 2457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/504 and 61\/945?\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of o**2\/2 - 7*o + 18. Calculate q(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 311*(-1)\/17 - (-141 + 31 + 92)?\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m*m\/m**6*m*m**1*m**1*m**(-2\/3)*((m*m**(3\/5))\/(((m**(-5\/4)*m)\/m)\/m))**(8\/13) assuming m is positive.\nAnswer: m**(332\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + (sqrt(128))**2*4)*4 - (3 + -3 + sqrt(50) + sqrt(50)).\nAnswer: -6*sqrt(2) + 2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of 2*x**7\/105 - x**6\/10 + x**5\/5 - x**4\/6 + 3*x**2 - 3*x. Let a(m) = 0. What is m?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3*b - 24 = 0, 2*j + b - 16 = -3*j. Let v(w) = -w**2 + 3*w - 6*w - 7*w + 27 - j*w. Is 12 a factor of v(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2169703, 4339422, 6509141, 8678860, 10848579, 13018298?\nAnswer: 15188017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1884 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 655680?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 6. Suppose -5*o + b*z - 7 = 57, 0 = -5*o - 4*z - 78. Does 7 divide (o\/4)\/(2\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by -9489?\nAnswer: -23\/9489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/28*((-6)\/(-8))\/((-117)\/624)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2437, -4869, -7301, -9733, -12165, -14597?\n\"Answer: -2432*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 3:59 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2559 + -6938. Which is greater: n or -4378?\nAnswer: -4378","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/5 - 1764*t\/5 - 212544\/5.\nAnswer: -2*(t + 144)*(t + 738)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7}. Give prob of picking 4 m.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, 5, -6, 4, 1, 3, 65.\nAnswer: -75, -6, 1, 3, 4, 5, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {a: 3, e: 13}?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 264, -4, -269, -6, -5 in ascending order.\nAnswer: -269, -6, -5, -4, 3, 264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -6, 334.\nAnswer: -6, 6, 334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -1192*r + 1178. Let n be u(1). Let t(k) = 5*k + 64. Give t(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2*l + 56, -a + 21*l = 24*l - 18. Suppose 0 = -10*k - a + 2. Let i(x) = 1 - 4 + 5*x - 5 - 6*x. Let s(n) = 1. Calculate k*i(q) - 5*s(q).\nAnswer: q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r + 20. Let t be s(9). Let m be (-6 - -6)\/(2\/t). Solve j + 2*h - 4 - 1 = 0, 2*h - 10 = m for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -530.9612911 rounded to two decimal places?\nAnswer: -530.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 204\/(-663) + 7\/(-91)*9 + (-214)\/(-210).\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74071?\nAnswer: 74071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9408, 9814, 10136, 10374, 10528?\n\"Answer: -42*p**2 + 532*p + 8918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1255)\/(-2625) - 1)*(7 - (-493)\/(-68)) and -14\/375.\nAnswer: 5250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14923 (base 13) to base 4.\nAnswer: 21133303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (-7)\/((-7)\/(-2)) - -13. What is the third derivative of o*t**2 + 2*t**2 + 9*t**2 + t**3 - 11*t**3 wrt t?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4260146 divided by -64?\nAnswer: 2130073\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 31404 (base 7) in base 2?\nAnswer: 1111001000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 11. Let u be 5\/1 + (-434)\/(-56) + -12. Sort -2\/11, 5, g, u in descending order.\nAnswer: 5, g, u, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -1.1. Let t = 608 - 612.54. Let h = -4.44 - t. Which is the nearest to -2? (a) j (b) h (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from jnnnnjn?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -27*t + 3\/2*t**3 + 2*t**2 + 0. Let h(p) = 2*p**2. Give h(z(n)).\nAnswer: 162*n**2 + 144*n + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-6*((sqrt(270)*2 + sqrt(270))\/(sqrt(36)\/(sqrt(24)\/sqrt(4))) - (-4*(sqrt(45)*2 + sqrt(45)) - sqrt(45))\/(sqrt(81)\/(sqrt(144) - sqrt(9)))).\nAnswer: -1440*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.3 + 2. Let t = -0.7 - j. Let u be (1 - (-8)\/(-7))*-2. Put -0.5, t, u in ascending order.\nAnswer: -0.5, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 442094696?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b**3 - 86*b**2 + 6*b - 1005 wrt b.\nAnswer: 6*b**2 - 172*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + q = 2*d - 3, 0 = 29*d - 31*d + 2*q for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -5 + 1*sqrt(2299) + sqrt(2299) - (sqrt(2299) - (sqrt(2299)*-1 + 4))*4) + 3)**2 + 4 + -1.\nAnswer: -1980*sqrt(19) + 82992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78641?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 15*j + 1. Let m be h(-15). Suppose -4 = 2*r - 2, v + 5*r + 5 = 0. Let o be (1\/(-2))\/((-3)\/6)*2. Solve v = -3*y + o*y - m for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 k, and 1 a when three letters picked without replacement from laepeklqp?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 123 + -67. Is 14 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(2673) - (sqrt(2673) - -1*sqrt(2673))) + sqrt(2673))\/((sqrt(2541)*1 + sqrt(2541))\/sqrt(7)).\nAnswer: -18*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1242 + -1235. Solve -n = 28*u - 30*u + 2, 4*n - g = 3*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -t**3\/3 + t + 14. Let m(v) = 2*v**3 - 4*v**2 - 2*v + 6. What is -4*l(k) + m(k)?\nAnswer: 2*k**3 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3007 a factor of 2842158538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**6\/180 - 13*r**5\/120 - 5*r**4\/12 + 51*r**3\/2 + 4*r + 9. Let i(t) be the second derivative of a(t). What is i(8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 a factor of 483*(-21)\/28*416\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.3 (b) 1527 (c) -5 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 i when four letters picked without replacement from {q: 3, u: 2, i: 3, t: 10}.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/2)\/(p**1\/p*p*p))\/(p\/p**(3\/4)*(p*p\/p**(-4\/9))\/p)*(p**8*p\/(p**(1\/13)\/p))\/((p*p**8*p)\/(p\/(p**(-3)*p*p))) assuming p is positive.\nAnswer: p**(-127\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 5036*j = 5031*j - 387, -3*j = 4*w + 389 for w.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (1 + (-1 - (34 - 6))).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/99 and -41\/3.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -26 - 65*h**2 + 10*h + 0*h + 123*h**2 + 8*h - 59*h**2. Calculate t(12).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 33\/(-108) + (-92)\/(-112) + 33\/(-462). Which is the closest to -241? (a) i (b) -1\/9 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214\/24 - (-314)\/3768?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(78) - 4*sqrt(78)*-1)\/sqrt(6))**2.\nAnswer: 8125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.7 - 216.\nAnswer: -223.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(2\/37)*k)\/(k*k**6))\/((k*k*(k\/(k\/((k\/(k*k\/(k*k**(-19)*k))*k)\/k))*k)\/k)\/(k*k\/k**(-2)*k*k)))**8 assuming k is positive.\nAnswer: k**(5048\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 239 + 391. Let d be 7\/(-49)*4 - (-14643)\/(-63). Let g = j - d. What are the prime factors of g?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**2 - 14973545*w - 14973546 = 0 for w.\nAnswer: -1, 14973546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2134 and 22?\nAnswer: 2134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.89 and -11.\nAnswer: -20.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 66\/7 of a week?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 297, 1, 4, 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 2*f - 5*f - 9, 3*j + f - 13 = 0. Suppose 9*t - j*t = 10. Let b(i) = i**2 - 3. Let x be b(-3). Solve 4*l = 5*h - 8, t*l + x = h + 2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6933 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 32507244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 296\/(-420) + (-8)\/(-14). Let i = 215 - 215.01. Sort i, j, -0.3.\nAnswer: -0.3, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6647578267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1414398*a - 895768*a + 119192*a - 258003*a.\nAnswer: -2448977*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -7*r - 4. Let y(s) = 15*s + 9. Let o(b) = 7*n(b) + 3*y(b). Let m(p) = -9*p - 3. Let i(w) = -147*w + 2938. Let t be i(20). Calculate t*m(c) + 5*o(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-25965744.\nAnswer: 103862976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -141602642 - -22?\nAnswer: -141602620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 - 51345*u.\nAnswer: -5*u*(u + 10269)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pbj when three letters picked without replacement from {j: 2, b: 4, e: 1, a: 7, l: 4, p: 1}?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus -2.09214?\nAnswer: 4.09214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11805?\nAnswer: 3, 5, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**3 - 413011 + 53*z - 71*z**2 - 54*z + 413011 + 71*z**2.\nAnswer: z**3 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2353 is divided by 62.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 d when three letters picked without replacement from {c: 7, e: 1, r: 2, d: 2, k: 4}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14318*p**5 - 64*p**4 + 489*p**2 - 293?\nAnswer: -859080*p**2 - 1536*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -1, -76, 2 in descending order.\nAnswer: 3, 2, -1, -2, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 780495208.\nAnswer: 2, 167, 584203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -c23c4?\nAnswer: -c23c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2500 divided by -5.\nAnswer: -500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/6*450\/500*-8?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 5:34 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 127253035983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -7*t**2 + 56*t + 169. Let b be r(-3). Sort b, 4, -4 in descending order.\nAnswer: 4, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q - q + 0*q)*(4576 - 2169 + 4531 + 6406) in the form h*q + u and give h.\nAnswer: -26688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 3*u**2 - 5*u + 17. Let s(h) = 4*h - 3. What is 5*p(v) - 8*s(v)?\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -603, -3 in ascending order.\nAnswer: -603, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oosssssossoossss. Give prob of sequence ss.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b + 7. Let y be c(-6). Let k = -73426 + 293715\/4. What is the closest to 2 in k, -1, y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 3*v - 2*v)*(1 + 1 - 1)*(-3 + 0 + 5)*(-4153 + 4153 - 253*v).\nAnswer: 1012*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222*w**2 - 73*w**2 - 79*w**2 - 80*w**2.\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 43*(-11*(-7 - -6) - -1) and 3?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.65653 times -2?\nAnswer: 1.31306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -47*a + 1. Let z(d) = 235*d - 5. Give 11*n(t) + 2*z(t).\nAnswer: -47*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 926 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -15, -35, -55, -75, -95?\n\"Answer: -20*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + m**2 + 1. Let k(l) = l**3 - 2*l**2 + l - 10. Determine -2*i(p) - k(p).\nAnswer: p**3 - p + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 1. Let i(c) = -31*c**2 - 4*c + 19. Let o(t) = -9*t**2 - t + 6. Let a(x) = 2*i(x) - 7*o(x). What is a(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.00828 > 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)*2*5)\/(sqrt(44)*3) + (-5 + sqrt(272)*-1 + 1*sqrt(272)*5)**2.\nAnswer: -475*sqrt(17)\/3 + 4377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 13 - 3. Suppose 0 = 5*p - 0*p + w. Let g(d) = -d**3 + d**2 - 1. Let h(y) = y**3 - 2*y**2 - y + 1. Let l(j) = 2*g(j) + h(j). What is l(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2922*r**5 - 2*r**2 - 21753*r?\nAnswer: -58440*r**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 11*a**2 - 24*a - 74. Let s be i(-7). Let j = -216 + s. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 63, 155, 245, 333, 419?\n\"Answer: -u**2 + 95*u - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 840674016?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(1053) - (4 + sqrt(1053))) + sqrt(1053)))**2.\nAnswer: -648*sqrt(13) + 9621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3076882?\nAnswer: 2, 1538441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 divided by -5?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*v**3 + 106*v**4 - 2*v + 79*v**3 - 31*v**3 + 23*v**3 + v**2 - 109*v**4 to the form x*v**2 + g*v**4 + z*v**3 + n*v + y and give z.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2029961318?\nAnswer: 2, 7, 11, 239, 7879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9882 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -6 - 2. Let p be 0 - (-3 - -1)\/1. Let j(x) = -2*x**2 + 3*x**2 - p*x**y. Let i(w) = 3*w**2. Calculate i(j(l)).\nAnswer: 3*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 270, 227, 184?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**5\/8 - 5*r**4\/4 - 9*r**3\/2 - 19*r**2\/4 - 13*r\/8 = 0. What is r?\nAnswer: -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (-2)\/(-4))*0*(-2)\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10989 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/(v**1\/v)))**(-39)\/(v**(-1\/4))**(-1\/24) assuming v is positive.\nAnswer: v**(3743\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 + 101100001001110?\nAnswer: 101100001011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*w**3 - 566*w**2 - 216 + 220*w - 3*w**3 + 508*w**2 - 2*w**3.\nAnswer: (w - 54)*(w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**2 - 73452*q + 7377848 = 0. Calculate q.\nAnswer: 101, 18262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i - 5*i - 5*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -185 (base 9) in base 2?\nAnswer: -10011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 2*c + 8 = 2*a, 3*c = 2*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from grgiiygbiiyyg. Give prob of sequence igi.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*s - 60*s + 54*s - 65*s.\nAnswer: -42*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24669 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 136 and 7680?\nAnswer: 130560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41 and 164.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.270216 to 2 decimal places.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2\/5)\/(11\/(440\/4))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-4)*(-18)\/(-99)*6. Let l = -183.6 - -195. Let p = -11.3 + l. Put p, 0.4, -5, g in descending order.\nAnswer: g, 0.4, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 750 and 20625?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l**3 + 73*l**2 + 22*l + 23. Let y(a) = -2*a**3 - 36*a**2 - 13*a - 11. Let i(h) = 2*o(h) + 5*y(h). Is 51 a factor of i(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/4 - 21*n**2\/4 - 25*n\/2 + 18.\nAnswer: -(n - 1)*(n + 4)*(n + 18)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 3. Let b be 0 - -2 - (n + 1). Let z be -1 + (10\/(-6))\/(-1). Which is smaller: z or b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 17931, 35853, 53757, 71643, 89511?\n\"Answer: -9*i**2 + 17949*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1156990411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 8*c - 7. Let n = -13 + 7. Let v be o(n). Suppose 14*k + 135 - 303 = 0. Solve -v*s + s = k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001051803 to 5 dps.\nAnswer: 0.00105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**5 - 3*y**5 - y**5)*(3 + 2 - 3) - 3*y**4 + 3*y**4 + 2*y**5 + 2564*y - 2564*y + 1372*y**5.\nAnswer: 1370*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.039 (b) 1\/2 (c) -20\/7 (d) -2\/11 (e) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s + 3. Let d be b(2). Let t = d + 0. Let w = -2\/15 + 7\/15. What is the smallest value in w, 0.4, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13028.\nAnswer: 2, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000069792 to six decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v - 2*v + 4*v)*(-27*v + 54*v - 28*v) + (1 + 0 - 2)*(3 + 2*v**2 - 3) - 2*v**2 + 2*v**2 - 2*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 19 = -38. Suppose -5*b - 4 = -d. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 12:04 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 5*h**2 - 2*h + 6. Let y be l(-6). Let u = y + 23. Suppose 12 = 4*x + 2*w, -2*x + 1 = u*w - 5. What is x rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/(4 - 3) - 2\/(-1). Let z = j + -14. Solve -x - 2*x = -5*q + 17, 5*x + z*q + 18 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of y**6\/300 + y**5\/50 + y**4\/30 + 7*y**2\/2 - 7. Let s(t) be the second derivative of b(t). Solve s(a) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 10 - 16. Let c(w) = -w**2 - w. Let x(l) = 10*l**2 + 9*l. Let o(s) = v*x(s) + 18*c(s). Let u(y) = y. What is o(u(i))?\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 118611 and 60582.\nAnswer: 104140458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 12 - 40. Suppose -x*c + 40 = -2*c. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 - 90 - 52 - 153?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**5 - 30*m**4 - 75*m**3 - 40*m**2.\nAnswer: 5*m**2*(m - 8)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 4*l**2 - 2*l - 5. Let m be q(-4). Suppose m*k - 5*b = -k + 52, 5*b = -2*k - 4. Suppose -t + 21 = k. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 246 divided by -41\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -22366*s. Let y(g) = 21*g**2 + g. Calculate d(y(i)).\nAnswer: -469686*i**2 - 22366*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 5*j - 5 = 5*a, 2*a = j + 1. Does 12 divide (-28)\/(-14) + 68\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*h + 0)*(-1 - 2 + 4) + 4*h + 2 - 2 - 4*h + h + 4*h + 5*h - h - 5*h + 9.\nAnswer: 6*h + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8295, 9064, 10345, 12138, 14443, 17260?\n\"Answer: 256*t**2 + t + 8038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(2\/5)*j**(1\/48)*(j\/(j\/(j\/j**9)))**50 assuming j is positive.\nAnswer: j**(-95659\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-4)*(16\/((-1408)\/(-54)))\/((-12)\/16)?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/3)\/(2\/(-6)). Let n = 1.38 - 1.99. Let y = n + 0.11. Put y, m, -0.02 in decreasing order.\nAnswer: -0.02, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*h = 15. Let n = 4 + h. Differentiate 9*q**4 + n + 4 - 9 with respect to q.\nAnswer: 36*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + 40 - (-9 - -10 - (-4 + 1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 802815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 46430, 46202, 45974, 45746?\n\"Answer: -228*k + 46658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and 4194541.\nAnswer: 4194540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/40028987 or 0?\nAnswer: -2\/40028987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5*x**3 + 4*x**2 + 6*x - 9. Let o be f(-7). Suppose 52*a - 48*a - o = 0. What are the prime factors of a?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eqqfffqfqqqqefeqeqq. What is prob of sequence qfe?\nAnswer: 100\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*141.\nAnswer: 1269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 3 = -5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1330 - -1657. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rerrnffrl. Give prob of picking 1 n, 1 l, 1 f, and 1 e.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 3*x - 7 = 0, 24*x = 5*f + 23*x + 7 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 1. Let c(f) = f**2 + 4*f - 1. What is the lowest common multiple of c(l) and (-3)\/(15\/(-125)) + 6\/2?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*g + 22, 2*g = -d - 3*d. Let z be 5 + (-78)\/(-36)*d. Put -3, 8, z in descending order.\nAnswer: 8, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w - 2. Let c(r) = -4*r - 4. Give 2*c(v) - 5*n(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4528304 is divided by 308?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + 29. Let s(w) = 648*w**3 + 931*w**2 + 315*w + 32. Let n(d) = 3564*d**3 + 5120*d**2 + 1732*d + 176. Let r(c) = q*n(c) - 28*s(c). Factor r(y).\nAnswer: -4*(y + 1)*(9*y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 7*i - 1. Let n(r) = 5*r + 4. Let a be n(-2). Let d(f) = f - 1. Let o(q) = -8*q - 3. Let s(y) = -5*d(y) + o(y). Calculate a*s(b) - 11*c(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 8*m**2 - 2*m - 19. Let y = 16 + -8. Let w be i(y). What is the biggest value in 3, w, 1\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(637) - (sqrt(637) - sqrt(637)*-5)) + 1)*-3)**2 - ((6*-1*sqrt(637) - sqrt(637))**2 - (sqrt(637) + -1)*6).\nAnswer: -1218*sqrt(13) + 112142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + (-2 - -6) - -1. Suppose 12 = -0*z + y*z. What is the smallest common multiple of 10 and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, g: 1, x: 2, q: 4}. What is prob of picking 3 q and 1 g?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 339 a factor of 49622481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 665666104 to the power of 1\/2, to the nearest integer?\nAnswer: 25801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*a**3 - 19*a**3 + 41*a**3.\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2*p + 522. What is the common denominator of 113\/14 and -2 + 5 - p\/(-20)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3482 by 273.\nAnswer: -3482\/273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -359, -1457, -3295, -5879, -9215, -13309, -18167?\nAnswer: -23795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (13\/(-7) + 3)\/((-15)\/(-105)). Suppose -2 = -x*y + 38. What is the highest common factor of 95 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8895, -10159, -11423, -12687, -13951, -15215?\nAnswer: -16479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**2)**(-9\/11)\/(a**(-2\/31)*a**(-3\/4)\/a) assuming a is positive.\nAnswer: a**(3591\/1364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = y. Suppose -2*i + 5 = t, 5*i - 10 = -y*i - 5*t. Suppose o - i*o = 2*n - 10, n - 1 = -2*o. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + -29394538.8?\nAnswer: -29394539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.38*-0.3.\nAnswer: -1.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of 1699*f**9\/126 - f**5\/20 + f**4\/12 - 91*f**3\/6 - 2*f**2 - 964*f. Find the third derivative of x(u) wrt u.\nAnswer: 815520*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 + 3*d**3)*(0 + 4 - 5) - d**3 + d**3 - d**3)*(-2 + 2 - 4) - 3*d**3 - d**3 + 2*d**3.\nAnswer: 14*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of w**6\/120 + 11*w**5\/60 + w**4 - w**2 + 10. Factor m(g).\nAnswer: g*(g + 3)*(g + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 3*d. Let g = -160.36 + 158.36. Let r be 1*-1*1*-3. What is the closest to g in d, r, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 14352a?\nAnswer: 143525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in -1, -5, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qbggqqgglq. What is prob of sequence qlll?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1 - -1) + 0 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 579966 is divided by 144963.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 195, 387, 453, 387, 183, -165?\n\"Answer: -j**3 - 57*j**2 + 370*j - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -482, -536, -566, -560, -506?\n\"Answer: 2*r**3 - 68*r - 416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + 2*o - 14, 588*o - 2 = -d + 586*o for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 86\/135 and -24\/85.\nAnswer: 2295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28 or 881\/31?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, v: 2}. What is prob of sequence vv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.264585ml in litres?\nAnswer: 0.009264585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 9 = y, 4*v - 4*y - 4 = -0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 644787 to the nearest integer?\nAnswer: 803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 79. Suppose 19 + u = 2*p. What are the prime factors of p?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 15 = 2*v. Let s(a) = -5*a**3 + 3*a**2 + 4*a + 4. Let q(k) = k**3 - k - 1. Let x(w) = 4*q(w) + s(w). Let f be x(v). Which is smaller: f or -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 divided by 3\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 19 = -2*m + 2, -4*m - 5*v = -21. Suppose m*g + 254685 = 14*g. Let i = g - 32937. What is i rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1007 + -681. Let o = q + -501. Let j = o - -367. Does 48 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306*r = -91*r - 458165. Which is smaller: 2130 or r?\nAnswer: 2130","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 0*w - 13*w - 7*w. Let q(f) = 3*f + 2. Let g(z) = 2*z + 1. Let i(b) = -2*g(b) + q(b). What is i(o(y))?\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1*-13)\/((-3)\/(-6)))\/(85*(-14)\/(-2380)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 9*q - 2. Let x(a) = a. Calculate g(o) - 5*x(o).\nAnswer: 4*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1749 is divided by 248?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -3*c**3 - 5373*c**2 + 54102*c + 129672 = 0.\nAnswer: -1801, -2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 8?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 9 + -2 + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000901161 to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1156863 is divided by 25?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*j + 165*j - 2*s - 25 = 59 + 91, j + 4*s - 115 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 2 = -i + 5*y, -10 = -2*i + 4*y. Find the third derivative of -i*o**2 + 3*o**4 + 6*o**2 - 3*o**2 wrt o.\nAnswer: 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -209, -423, -637, -851, -1065?\n\"Answer: -214*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.791 - 0.14109.\nAnswer: 0.64991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**4 + 20*c**3 - 36*c**2 + 28*c - 8.\nAnswer: -4*(c - 2)*(c - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 2*m)*(7*m**2 - 7*m + 7*m) + 5 - 15 + 6 + 3*m**3 as x + f*m**3 + y*m + p*m**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 637096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2. Let t(r) = -2*r + 18. Let o be t(9). Let z(v) be the third derivative of 5*v**2 + 0 + o*v**3 + 0*v - 1\/12*v**4. Calculate z(f(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 4*w + 248, w + 69 = 2*k - 53. Suppose -2*l - 69 = -5*y + 36, -4*y + 4*l = -84. Calculate the remainder when k is divided by y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/4 + 1048951*v**2\/4 - 2097899*v\/4 + 1048949\/4.\nAnswer: -(v - 1048949)*(v - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*q**5*t**2 - 39*q**2*t**3 - 2*q**2*t - 2*q*t**3 + 7793*q*t wrt q.\nAnswer: 340*q**3*t**2 - 78*t**3 - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113860 - 862*x - 113865 + 227725.\nAnswer: -862*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 102\/36 - (2\/(-12))\/1. Suppose c*h = 2*n + n - 3, -32 = -3*h - 4*n. Solve w = -3*x, 19 = -0*w - 5*w + h*x for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -106109.2 to the nearest 100.\nAnswer: -106100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y + 4*t + 24, y - 5*t = 3*y + 27 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2997 divided by 3?\nAnswer: 999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7268 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.51 + 0.51. Let f = -32 + m. Let c = 42 + f. What is the second smallest value in c, 3, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 783 = 195. What is the lowest common multiple of y and 1?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**2 + 332*k + 27556 = 0.\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2 = 3*s. What is the first derivative of -3*l**2 - 3*l**2 + 4*l**s + 4 + 0*l**2 wrt l?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -970197762 - -970197864.5597026. Let c = o + -102.8897. Let j = c - -0.33. What is j rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/19768320 and -145\/162.\nAnswer: 59304960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(425) + -1)**2 + -3 - (3 + sqrt(425) + (sqrt(425) + 1)**2))*1.\nAnswer: -25*sqrt(17) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-2188.\nAnswer: -218.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1204989.39 - -21429.\nAnswer: -1183560.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 11:12 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 22. Let n = 12 - v. Solve 0 = r - n*r - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13203\/130 - 1176\/13. Find the common denominator of -5\/4 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 2*l - 8*a - 20, -3*l - 2 = 2*a. Suppose 0 = -l*h - 24 + 120. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 80*c**3 - 18095*c**2 + 21390*c - 3375.\nAnswer: 5*(c - 225)*(c - 1)*(16*c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*v**3 + 941*v**2 - 2*v - 1949*v**2 + 1006*v**2 + 2*v + 4.\nAnswer: 78*v**3 - 2*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x - 215 = 3*x + 3*c, -22*x + 7*c + 946 = 39*c - 6*c for x.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1 + (3 - 1 - 1)*(1 + 2 - 1))*(0*c + c + c)*(-6 - 3 - 1).\nAnswer: -60*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43284*h - 14 + 12 - 21639*h - 21638*h.\nAnswer: 7*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00068669673 rounded to six decimal places?\nAnswer: 0.000687","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 964942785 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 68001973?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2729 + 50*c + 2*c**2 + 2729.\nAnswer: 2*c**2 + 50*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -15*v + 5 + 10*v + 5*v + 4*v**3. Suppose -2*i = -4*w + 18, 23 = w + 3*w + 3*i. Let q(c) = -3*c**3 - 4. Determine w*q(k) + 4*h(k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 o when three letters picked without replacement from {h: 2, o: 4, n: 1, j: 1, g: 2, b: 4}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z. Let r(n) = -5*n + 1. Let b be r(2). Let i(h) = 6*h - 9. Let v(a) = -3*a + 4. Let k(m) = b*v(m) - 4*i(m). Calculate k(j(o)).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 24637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -8*a - 6. Give n(5).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 52 + 148. Suppose 4*d - 14 = 26. What is the greatest common factor of u and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -531.985836 - 0.124164. What is n rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 944413125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125705 divided by -15.\nAnswer: 25141\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18330611\/9 or 2036735?\nAnswer: 2036735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-3392)\/(-2120)*2\/(-4)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1377346 and 547?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3123\/5205)\/((-2)\/((-10)\/11)).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (1 - 4)) + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -31\/4903276 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5*s + 18. Let f(r) = 11*r - 40. Determine -2*f(o) - 5*z(o).\nAnswer: 3*o - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of d**4\/102 - 5*d**3\/51 + 6*d**2\/17 - 41*d - 97. Let c(h) be the first derivative of o(h). Suppose c(q) = 0. Calculate q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1106)\/1580)\/(14\/(-25))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10696 - -11183. What is the remainder when g is divided by 118?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -670229?\nAnswer: 67022d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -203 + 208. Let f(b) be the third derivative of k*b**2 + 0*b**4 + 0*b + 0*b**3 + 0 + 1\/60*b**5. Let a(w) = -3*w. What is f(a(q))?\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 373*y**4 - 3107*y**2 - 4260356*y?\nAnswer: 4476*y**2 - 6214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(12\/16)\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 10, -101, -1\/12, 3?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 6*y**2. Let f(o) = 151*o. What is q(f(v))?\nAnswer: 136806*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13639310 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11887, 12266, 12645, 13024, 13403, 13782?\n\"Answer: 379*p + 11508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*5\/20*3566. Suppose 5*c + b = 3*d - 105, 3*d - 2*c = 1891. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -456, -483, -510, -537, -564?\nAnswer: -591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 28. Let i = l - -161\/6. Does 1 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 5) in base 13?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 99 - 70. Let p(q) = -3*q**2 + 11*q + 133. Let z be p(-5). Suppose z*w = 56 + 553. What is the greatest common divisor of i and w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(3\/(-9)*3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1869 or -13?\nAnswer: -1869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*a - 112*a = -19*f + 388, 0 = 5*a + 3*f - 70 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 241 = -5*s - 2*k, -2*k + 106 = 2*s. Let w = 83 - s. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uruxuruuroird. Give prob of picking 2 u, 1 i, and 1 x.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 + -51. Suppose -4*q = q - 10. Calculate the remainder when (-60)\/b - (-2)\/(-9) is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 40958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 8*o**2 - 7*o + 4. Give d(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, 2\/7751, 4\/3, 24\/5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22321234 (base 7) to base 15.\nAnswer: -28439d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n**(-7\/5))\/n)\/n)\/n)**(2\/43) assuming n is positive.\nAnswer: n**(-34\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2655515, 2655517, 2655519, 2655521?\n\"Answer: 2*t + 2655513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*w, -3*h + 6*h - 2*w = 41. What is the common denominator of -11\/6 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 249, -4\/5, -0.1, 0.05 in increasing order.\nAnswer: -4\/5, -0.1, 0.05, 4, 249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wtf when three letters picked without replacement from {t: 3, w: 2, f: 12}?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -u + 140, 0 = 4*u - 24 + 4. Let j = -17 - -22. Let z = 12 - j. What is the remainder when x is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 10*k**2 + 15*k + 55. Suppose 3*x = 12, x - 17 = 2*n + 9. Let h be v(n). Solve -5*p - 1 = -h for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91 and 2219.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 69957 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*4*((sqrt(196)*1)\/sqrt(882)*-4)**2.\nAnswer: 220\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 255 * -2.8.\nAnswer: -714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 189011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4675\/65 - (-390)\/5070?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l + 3*l - 3*l. Let h(d) be the second derivative of d**6\/720 + d**4\/12 + d. Let i(y) be the third derivative of h(y). Give i(g(x)).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1658.026702 rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 17433636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b. Let y(i) = 4*i**2 + 12*i - 2. What is y(u) + 10*z(u)?\nAnswer: 4*u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 15, -2*p - p = 3*w - 18. Suppose -2*g + 13 = p. Solve g + 3 = -5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11790352?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 599*s - 474*s. Solve -9*y - 36 + 27 = s for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*d + 22*d = -33*d + 2231 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2 + 0)\/2)\/(3\/(-6)). Let w(d) = d**2 + 2*d - 4. Let o be w(-4). Suppose o = -k*n, x + 5*n + 1 = -2. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/1138, 2, -1.9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (7 - 39 - -1)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5496729 or 5496748?\nAnswer: 5496748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5024511146 + 1?\nAnswer: 5024511150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23465780?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*n + 6*n - 1416. Find the third derivative of 14*d**2 - 206*d**6 + 68*d**6 - n*d**6 - 164*d**2 wrt d.\nAnswer: -23640*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*d + 12 = 0. Suppose -5*y = -d*y + 12. Does 17 divide (-224)\/y - (-6)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26062.05 rounded to the nearest 10?\nAnswer: 26060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3501 and 7559048?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 9 + 1. Suppose g*o + 48 = 5*o. Calculate the lowest common multiple of (72\/o)\/(3\/2) and 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4*b**2 + 2*b. Determine u(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 434746802 minus -0.6?\nAnswer: 434746802.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 56844691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 4*p - 1. Let d be z(-2). Solve -2 = -2*a - b - 3, 4*b + 26 = d*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -15*k. Let f(i) = i**2 - 16. Determine f(s(z)).\nAnswer: 225*z**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 98*g*x**2 + 1146512*g + 3579*x**2 - 2 with respect to x.\nAnswer: 196*g*x + 7158*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2131034313 (base 5) to base 13.\nAnswer: -c33919","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/1 + (8 - 5). Suppose -q + 29 + c = 0. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h*k**2*l**2*n + 2*h*k**2*l**2 + 2*h*k**2 - 9*h*k*l**2 + 2*h - k**2*l - 69*k*l*n - n wrt l.\nAnswer: 4*h*k**2*n + 4*h*k**2 - 18*h*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.98 - -0.02. Let k(m) = 2*m**3 - 4*m - 3. Let c be k(-2). Let g be 4\/18 - c\/(-9). Which is bigger: g or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 225*t**2 + 16*t + 6605. Let d(o) = 112*o**2 + 7*o + 3301. Let n(x) = -9*d(x) + 4*z(x). Differentiate n(c) wrt c.\nAnswer: -216*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 15*t - 46. What is o(16)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 17*r - 15. Let l be u(18). What is the units digit of -4 + l - (-1 - 33)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6623 is divided by (-32660)\/(-690) - 2*(-2)\/6.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7156, 14307, 21458, 28609, 35760, 42911?\nAnswer: 50062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*k - 40 = 0, -3*k - 119 - 63 = -4*t. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 47799?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uddduudddudduddddd. What is prob of sequence ddd?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five quarters of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1323 - 1323 - 4*n**3 + 0*n**3.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*-0.8.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/(-48) + (-7530)\/20080.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87539.95 millilitres to litres.\nAnswer: 87.53995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -740002 - 4*(-4)\/8. Round u to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.103 + 0.427. Let x = m + 2.63. Let t = x + -4. What is t rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 460 is divided by 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2911631.3 to the nearest 100000.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 779.8 at most -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 15 - 50*f - 10*f**2 - 2\/3*f**3. Let q(p) = 0. Calculate p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 j when four letters picked without replacement from {j: 4, n: 16}?\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/2, 0.3, -269187.8?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 555.\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 917?\nAnswer: 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18863192?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1016*n**2*q**3 - 2117*n**2*q - 93*n*q**3 - n*q + 13*q wrt q?\nAnswer: -6096*n**2*q - 558*n*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000321559018 rounded to seven dps?\nAnswer: -0.0000322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g - 7*g = -10*g + 24. Which is the second smallest value? (a) g (b) -57 (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -1232.3106?\nAnswer: -1232.3106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 870 and 240.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6*(-2)\/(-36)*10 + 3. Which is the second biggest value? (a) d (b) -0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131264838 a multiple of 513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oioiziaiooiiozowozaz. Give prob of picking 1 o, 1 a, 1 z, and 1 w.\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1baa508 (base 12) to base 16\nAnswer: -5ac458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.08 - 10.92. Let f = 11 + b. Sort 4, f, -1\/8.\nAnswer: -1\/8, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13623*-0.0617.\nAnswer: -840.5391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -35252\/95 greater than -370?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 601*t**5 + 1374*t**2?\nAnswer: 36060*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*n - 228 = -12 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 427\/89774?\nAnswer: 427\/89774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -114*l**3 + 16*l**2 - 364*l + 32. Let j(s) = s**2 + 5. Let o(u) = -d(u) + 6*j(u). Find the second derivative of o(w) wrt w.\nAnswer: 684*w - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -1 + g + 1. Let m be 406\/105 - 2\/(-15). Let f(o) = -4*o + 20*o**2 + m*o - 24*o**2. Determine f(s(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 + 1.4. Let a = j + -1.3. Let d = a + 0.5. What is the smallest value in 0.5, d, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*l = -6*h + 99, -24 = -2*h - 4*l. Suppose 10*y - 4*y = h. Which is the nearest to y? (a) 0.1 (b) -1\/8 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.039? (a) 0.1608 (b) -5 (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 973 and 12810.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 192*d = -186*d - 12, 0 = -4*o - 5*d + 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14\/631 - 25591\/12620. Let a be 4\/10 + 25485\/(-25). Let q = a - -18337\/18. Calculate the common denominator of l and q.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 195*p**5 - 659*p**4 + 658*p**4 - 8*p**5 + 3*p**5 - p**5 - 3*p**5 + (-p**2 - 1 + 1)*(-2*p**3 - 1 + 1).\nAnswer: 188*p**5 - p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + m + 1. Let t(c) = -2*c**2 - 3*c - 3. Let a(y) = -y + 7. Let b = -8 - -12. Let f be a(b). Let s be (-6)\/(-3)*f\/6. Give s*t(x) + 3*h(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 402 - 885 = 0. Calculate the remainder when w is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 448736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/(-12))\/((-809)\/(-9708)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**3 - d**2 - 24*d + 12. Calculate b(-4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1394*s**3 + 20*s - 1394*s**3 - 11*s**5 + 4*s**5 wrt s.\nAnswer: -140*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 762*u**4 - 3*u**3 + 2*u**2 + u + 6410.\nAnswer: 9144*u**2 - 18*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*o + 1, -4*r - 2*o + 19 = -3. Solve -r*l + 216 = 220 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 4 = -0*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.55 and 1344.\nAnswer: 1343.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*q**3 + 0 - 5*q**3 + 10*q - 1 - q**2 - 13*q**3 + 4*q**3 to h*q + g*q**2 + i + j*q**3 and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j**2 - 118*j**2 + 134*j**2 - 13*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y = 44*y + 65 + 63. Which is the smallest value? (a) 5 (b) y (c) -3\/25 (d) -2 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2a2 (base 12) to base 6\nAnswer: 1522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u - 5*z + 11 = 14*u, 12 = 3*z for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 29186, 116767, 262750, 467141, 729946?\n\"Answer: l**3 + 29195*l**2 - 11*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-5)*1085\/124.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7619989.\nAnswer: 13, 586153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, -1\/9146, 0.5?\nAnswer: -1\/9146","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16500 and 73810500.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5\/588 - 263\/196. Which is the fifth biggest value? (a) 0.5 (b) 2\/5 (c) -135 (d) -1 (e) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67071 + -2096. Does 112 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24 plus -370?\nAnswer: -370.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2674 at least as big as 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -640 + 583.3. Let j = 5.3 - f. Let u = j - 61. Which is the second biggest value? (a) -2\/9 (b) u (c) 0.06 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o. Suppose 16 = 6*b - 8. Let d(p) = 3*p + 80 - b*p - 80. Give d(u(j)).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 2*t + 3. Let o be h(3). Suppose 3*n - 34 = 5*l, 0*l - 2*n + 20 = -3*l. Let v = o - l. Calculate the greatest common factor of v and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/120 and -10\/3.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2. Suppose -10 = -5*y + 5*p, y = -0*y + 3*p + 8. Let s(u) = -5*u**2 + 2*u. Let n(x) = y*s(x) + 4*q(x). What is the tens digit of n(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 189\/15 + (-231)\/330*(-4)\/7\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -7*x + 2. Let p be m(9). Let u = -29 - p. Suppose -7*v + 325 = -3*v + g, 3*g + 225 = 3*v. What is the highest common divisor of v and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w. Let p be 201 + 6 + (-1 + -1 - 0). Let x(o) = -p*o - 232*o + 398*o. Calculate v(x(g)).\nAnswer: 78*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 34219550 to the power of 1\/3, to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6 + 7 + (2 - 1). Let h be (12\/8)\/((-7)\/(-5838)). Is f\/(-12) + h\/54 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - l - 3*l)*(-l + 2*l + l) + l**2 + 3*l - 3*l + 152*l**2 + 38*l**2 + 44651 - 44649.\nAnswer: 189*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 102, -5\/2, 0?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-138))\/(((-3)\/3)\/(-6))\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x + 2*b + 1184 + 1120 - 2372, 5*b - 215 = 5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((-1)\/2) + 4. Let m(f) = -1 - f**2 - f - 1 + 0*f - f**3 + 9*f**b. Is 22 a factor of m(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 4*m + 32 = 4*j, -2732*j - 2732*j = -5467*j - 4*m for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 7*f - 4*i + 67 = 0, 3*i + 335 = -5*f. Let j = f + 67. Solve s + 0*s = j for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3226771, 3226685, 3226543, 3226345, 3226091, 3225781?\nAnswer: 3225415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 216 - -4?\nAnswer: 21a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 4*m = 20, 2 = -3*d + 5*m + 9 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -94209234, -94209241, -94209248, -94209255, -94209262?\n\"Answer: -7*f - 94209227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/5)\/l*l)**(-9))**(-22) assuming l is positive.\nAnswer: l**(-198\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -179\/156 + -4\/39. Which is the nearest to -0.1? (a) 0.8 (b) -2\/7 (c) r (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 4)*((-f**4 + 0*f**4 + 2*f**4)*(4*f - 2*f - f) + f**5 - 5*f**5 + 2*f**5).\nAnswer: f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -5551*v**5\/5 - 883*v**3 - 7013. Find the third derivative of g(f) wrt f.\nAnswer: -133224*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 + 21 - (-352 + 309)\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (51\/(-2))\/(7\/3 - (-97513)\/(-41574)). Calculate the greatest common divisor of x and 765.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1399208044.\nAnswer: 2, 13, 373, 72139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89411853?\nAnswer: 3, 19, 1568629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2302 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g. Let z(d) = 7*d + 3. Let t(k) = -5*b(k) - z(k). Let m be t(-4). Solve o = m*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 0)*(27*u**3 + 24 - 16 + 2) to c*u + y*u**3 + k + n*u**2 and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3185.715t?\nAnswer: 3185715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2. Let j(w) = -w - 1. Let m be j(-6). Let f(q) = -q + m*q + q**2 - 4*q. What is u(f(z))?\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1386 minus -6?\nAnswer: 1392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*1*sqrt(66) + sqrt(66))\/(sqrt(6)*-4*5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 6*y - 2. Let f(s) = 7*s**2 - 18*s - 1. Let d(m) = 6*m**2 - 17*m. Let h(q) = -6*d(q) + 5*f(q). Let k be h(11). Calculate o(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 7*k - 6. Let s be m(5). Suppose 4*t - 2*l - 8 = l, 4 = s*t - 4*l. What is the second derivative of -5*c**2 + 3*c + c**5 + t*c**2 + c wrt c?\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17279549 divided by -1?\nAnswer: 17279549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-10) + 12\/(-45)*-204. Let p be 228\/c - (-4)\/(-18). Suppose -5*j - 3*q + 54 = 0, 2*j + q = 2*q + 26. Solve 0*t = p*t + j for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**6\/s*(s\/(s**(-3)\/s*s))\/s*(s\/(s**0*s*s))**5)\/(s**(-1\/7)\/s**1)**(3\/47) assuming s is positive.\nAnswer: s**(1011\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0, -2, 4, -2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -27. What is the smallest common multiple of 5 and k?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 d when two letters picked without replacement from ifidn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 8, d: 8, p: 1}. Give prob of sequence dtdp.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000168178 rounded to six decimal places?\nAnswer: 0.000168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.037? (a) 7 (b) 0.2 (c) -9 (d) -54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-8) + 4)\/((-3)\/(-6)). Solve -4*i + 2*i = -3*u + 11, -i = -5*u + h for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 + 44. Let u = s - 12. Let k = u + -8. Is k not equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -9 - (-8 - -4 - -11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -669? (a) 0.12 (b) -1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/10)\/(1\/6). Let u(h) = 4*h**2 - 3 + 0 - h**3 + 5*h**3 - 2*h. Let c(m) = -9*m**3 - 8*m**2 + 3*m + 7. Let f(q) = i*c(q) - 7*u(q). What is f(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 716 - -7\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 874915.\nAnswer: 5, 233, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 1:30 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -7073*r + 50. Is i(-3) a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4725.7 rounded to the nearest 10?\nAnswer: -4730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/((-19)\/8 - -2). Suppose u*t - 4*t = 112. Calculate the remainder when t is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of 0 - 29\/6*u**3 + 0*u + 1\/60*u**5 - 3\/8*u**4 + 2*u**2. What is the units digit of x(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -170526 + -0.0505.\nAnswer: -170526.0505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 298*n - 363*n - 132 - 323 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1700) + -1).\nAnswer: -4 + 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5262077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89708826?\nAnswer: 2, 3, 14951471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -37517*c**4*l**2 + 3*c**4*l + 253*l**2 - 2*l - 15 wrt c?\nAnswer: -150068*c**3*l**2 + 12*c**3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3327+151297.31\nAnswer: 154624.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2734, -6231, -9738, -13255, -16782?\n\"Answer: -5*j**2 - 3482*j + 753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1517400*g - 3035380*g + 1517702*g.\nAnswer: -278*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 2*h - 88 = 0. Suppose -h = -2*b - 5*r, 3*b = r - 4*r + 12. What is the least common multiple of 12 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 604859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 380 + -380. Let t = 1.2 - 1. Put y, -0.05, t in ascending order.\nAnswer: -0.05, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2464944.\nAnswer: 2, 3, 89, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 88079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*h + 169 - 13 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72 - 214\/3. Let d be (-1 + 2)*(0 + 5). Suppose -u + d*u = 0. Which is greater: y or u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*y = -11, 4*m + 40 = -3*y + 2*y. Let n be (-25)\/(-3) - (-3)\/m. Suppose -133 = -3*w - 13. Calculate the greatest common divisor of w and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**8\/1680 - a**4\/12 + 7*a**3\/6 - 7*a. Let n(i) be the second derivative of k(i). Differentiate n(x) wrt x.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**3 - 19*s**2 - 10*s - 23. Let u be v(7). Solve -41*a - 4*r = -38*a + 8, -2*r = -u*a + 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 106*j**2 - 10832*j - 1126344. Determine k(-105).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-852)\/(-1136))\/(3\/64)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2 = -2*i + 12, 5*i + 3 = 2*p. Let m(r) = -4*r + 6. Let g(a) = 3*a - 5. Let o(y) = 5*g(y) + 4*m(y). Let j(x) = -x. Determine i*j(n) + o(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (96\/560)\/((-1)\/(-21))*100\/(-30)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65 - 63) + (39\/(-4) - 1*-7)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 5*f**3 + 4050*f**2 + 382615*f + 2481570 = 0.\nAnswer: -702, -101, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 8:07 PM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440 is divided by 435.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -3714, -4, 7\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/161)*d*d*d**7\/d*d**(-13)\/d**(-31) assuming d is positive.\nAnswer: d**(4184\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5 = 3*u - z, -7 = -u + 2*z. Suppose u*y - 2*l - 2302 = 0, -y = -5*y + 2*l + 3066. What are the prime factors of y?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((2\/(-2))\/3). Let s(h) = h - 4. Let w be s(z). Let g = 15 + w. Calculate the least common multiple of 7 and g.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-28)\/(-8) + -3)*6. Suppose -6*z + 2*z + 26 = -2*p, 24 = -m*p + z. Let d(l) = -l + 3. List the prime factors of d(p).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3982 + 3990 = 4*t. Solve -t*q + 31 = 45 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -734 in increasing order.\nAnswer: -734, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 826, 855, 924, 1051, 1254, 1551, 1960, 2499?\nAnswer: 3186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/42, 0.03, -37?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -153*y**2 + y + 1. Let k be u(-1). Is 2\/(-7) + k\/(-21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18.63 + 18.33. What is the nearest to -2\/3 in 0.03, 6, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -443*p - 1374*p - 1271*p + 335*p + 660*p to the form r*p + x and give r.\nAnswer: -2093","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - ab?\nAnswer: -af","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -57*q + 1602. Let x be y(28). Solve -x*l + 226 - 208 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -152011225 to the nearest one hundred thousand.\nAnswer: -152000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 211639 (base 13) in base 16?\nAnswer: bd106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 119121 and 10443?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 43031, 86070, 129109, 172148, 215187?\n\"Answer: 43039*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5217 is divided by 481?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4 = 4*l, 0 = -4*t - t - 20. Solve -5*g - l = -7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 5:55 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.039861427 to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 275, 281, 291, 305, 323, 345?\n\"Answer: 2*b**2 + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*m + 0*m + 4*m)*(-3 + 5 + 1)*(44 - 45 + 87*m - 102*m) as c + y*m**2 + d*m and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 143066454 times 0.5\nAnswer: 71533227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6469004 (base 10) in base 16?\nAnswer: -62b58c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l + 32. Let b(n) = -2*n**2 + 2*n - 1. Let q be b(-1). What are the prime factors of w(q)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -20*u**2 - 2*u - 1. Let r be x(2). Let s = -345\/4 - r. Which is the closest to -0.1? (a) s (b) 1\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26462179 is divided by 1710?\nAnswer: 1639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of a**3 - 5 + 0*a + 9\/2*a**2. Suppose l(r) = 0. What is r?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2 = -5*v - 1, 2*v = 5*c - 5. Let j = c + 4. Let k = j - 4. What is the nearest to k in 3, 2\/7, -0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by 10.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -13*v - 49. Let o be r(-4). Suppose 4*l + 20 = 0, -3*t = -2*t + o*l - 543. What are the prime factors of t?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27777835 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 - 4*p + 4*p)*(3 - p - 3) + p**4 + 2 - 2 + p**4 + 0*p + 0*p + 0*p**4 + 0*p**4 + p**4.\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53792.66 milligrams to grams.\nAnswer: 53.79266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 950155*r**3*z**3 + 22*r**3*z**2 - 5*r**3 + 2*r*z**2 + 7*r*z + 8 wrt z.\nAnswer: 5700930*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 54 = q, -2*r - 70 + 8 = -q. Sort q, 2, -3, 5.\nAnswer: -3, 2, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*d - d - 3363 = 0, 0 = 2*w + 5*d - 3387. Let i = 2429 - w. List the prime factors of i.\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11, -11, -3, 19, 61, 129?\n\"Answer: f**3 - 2*f**2 - f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*z = 26 + 9. Find the common denominator of (-3165)\/450 - 5\/z and 48\/55.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*h + 179*h**2 + 7*h + 5*h.\nAnswer: 179*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*k - 4*k - k)*(8 - 6*k - 8)*(-5 + 12 + 16) + 2*k**2 - 2*k**2 + k**2 + (0 + 0 - 1)*(-5*k**2 + 4*k**2 + 3*k**2) in the form s*k + z + m*k**2 and give m.\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 2*m - 6 = 0, -2*d + 111*m - 112*m = 18 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 962.189*13.\nAnswer: 12508.457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.32 less than -980107.2?\nAnswer: -980158.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 822827 and 26063.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2 + sqrt(176) - -1*-3*sqrt(176)) + (5 + (sqrt(176)*4)**2 + sqrt(176))*-4.\nAnswer: -11277 - 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 4*b + 6. What is the greatest common factor of b and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1432 - 2?\nAnswer: -1434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -42538143454 less than 7.52?\nAnswer: 42538143461.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36 (base 13) to base 11.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -295392820 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 54\/5555 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4410 + -646?\nAnswer: 3542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18728, 74284, 166878, 296510?\nAnswer: 463180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 47.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a day in hours?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10a (base 15) to base 4.\nAnswer: 3223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.833 rounded to 2 dps?\nAnswer: 0.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 522273249 to the nearest integer?\nAnswer: 22853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kr when two letters picked without replacement from iokri?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 15 = -5*z + 5*d, 3*z + d = -3. Let p be (z - 1)\/(15 + -14). What is the units digit of 51 + -2 + p + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 + i + 1. Let b(q) = -14*q**2 + 20*q + 8. Let w(r) = -b(r) - 2*l(r). Let x be w(-10). Round x to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -2. Suppose 4*m = -5*h - 16, 0 = h + h + 5*m + d. Let s = -0.5 - 0.5. Sort h, 0.4, s in decreasing order.\nAnswer: 0.4, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9552 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k\/(k*k**(5\/3))))\/k*k)\/((k*k**(6\/5))\/k)*(k*k**1)\/k**(1\/3))**(26\/5) assuming k is positive.\nAnswer: k**(1222\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*c**3*i**2 + 40515*c**3*i - 2*c*i**2 - 8838*c*i - 2*c - i**2 + 1 wrt c?\nAnswer: -54*c*i**2 + 243090*c*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 t when three letters picked without replacement from {v: 1, d: 11, t: 8}.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**3 - 23*u**2 - 32*u - 5. Let f be z(-10). Solve -2*p = -7*p + f for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -666?\nAnswer: -661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*b**2 - 35*b**5 - b**2 + 41*b**5 wrt b.\nAnswer: 360*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3515483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18291755?\nAnswer: 5, 3658351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 20233220000 (base 4) to base 5\nAnswer: 1041322344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1754 minus 4?\nAnswer: -1758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3032*o = -3005*o - 132894. Is 157 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of s**5\/20 - 7*s**4\/12 - 4*s**3\/3 + 46*s - 5. Suppose 0 = 6*y - 5*y - 8. Calculate t(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2475 and 3390?\nAnswer: 559350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2998*c**3 + 69*c**2 - 19*c - 8. Let w(h) = 5996*h**3 + 138*h**2 - 41*h - 17. Let t(z) = 13*v(z) - 6*w(z). Find the third derivative of t(p) wrt p.\nAnswer: 17988","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -76*v**3 + 52*v + 19998 wrt v?\nAnswer: -228*v**2 + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -29. Suppose z*b - 6 = -6. Suppose b = -3*i - 4*i + 21. Solve 2*l + 3 = i*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 6222?\nAnswer: -6227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 24 + 16 = 4*r, 5*r + 10 = 4*z for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1819311222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -497 by -3175.\nAnswer: 497\/3175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11995*k - 5960*k - 6030*k.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 6) to base 7.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -13 + 33. Let x be (-12)\/h*1*5. Let o(c) = -x*c**3 + 1 + 0 + 2*c + c**2 - c. Determine o(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, y: 5, g: 1, c: 4, a: 4}. What is prob of sequence caa?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = l + 3*o, -5*l + 59*o = 55*o + 27 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -u**4\/12 - 8*u**3\/3 - 8*u**2 - 16*u. What is the tens digit of a(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660\/(-80) - (-4 - 60\/(-16))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 145 and 174?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34325.\nAnswer: 5, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**3 - 161*i**2 - 227*i - 1394. Determine a(82).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 69.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + m + 125 = 0, 3*j + 42*m = 39*m + 105. Is (j - 41) + 12880\/(0 + 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/57? (a) 0.02 (b) -1\/7 (c) -0.02 (d) 1\/2 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(11) - ((sqrt(11) - sqrt(11)*-2) + 0) - (5*sqrt(44)\/sqrt(4) + sqrt(11)) - sqrt(44)*-3*-3))**2*2*1.\nAnswer: 14872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oox when three letters picked without replacement from {o: 12, x: 4, y: 4}.\nAnswer: 22\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-27)\/(-1) - (1 + -8). Calculate the greatest common divisor of 34 and m.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 3857*d - 3859*d - 81, 156*p = 5*d - 3885 for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -398*v + 22126 = 200*v for v.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3679303 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.029 - -0.681. Let v = y + -0.7406. Round v to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 6*t. Suppose -4*b + 4*w = t, -5*w = 2*b - w - 24. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5630 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15705913?\nAnswer: 19, 181, 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2700 + -2683. Solve g + 0*g + 17 = 5*s, 3*s = 4*g + j for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2629\/20840 + 3\/2605. Is u >= -3\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*x - 1781 = 100*x + 65*x for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-1 - -1 - (1 - -10))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**2 + 85*u + 52*u + u**2 + 490*u + 8*u**2 to t + k*u + z*u**2 and give k.\nAnswer: 627","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 12*c**2 + 7 - c - c**2 - 4*c**2 - c**3. Let n be m(7). Suppose 0*q + 4*q = r + 196, n = -3*q - r + 140. Is q a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(17) + 4 + 3*sqrt(612).\nAnswer: 4 + 21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/5 + 9424*c\/5 - 11101472\/5.\nAnswer: -2*(c - 2356)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1)*o**(7\/8) assuming o is positive.\nAnswer: o**(-1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 895 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4565, -8975, -13385, -17795, -22205?\nAnswer: -26615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t\/t**4)*t**(-11)*t assuming t is positive.\nAnswer: t**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d. Let c(b) be the first derivative of -b**2\/2 - 2*b - 3. Suppose 0 = 3*a - 4*v + 28, -3*a - v = -0*v + 8. Give a*u(q) - 2*c(q).\nAnswer: -2*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (2 - (2 - (4 + -6))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -59 - -54.4. Round b to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/9)\/((-20)\/(-28590)). Let y = 6174 + o. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-6)\/(m**(-2)\/m))\/(m**(-1)*(m**0\/m)\/m) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10493 = 3*g - 3*n - 148478, 4*g - 5*n = 183975. Round g to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1156771, -5, -1 in decreasing order.\nAnswer: 1156771, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(5\/4)*p**(-9)\/p)\/(p\/p**(2\/9)*p)**(-4\/3)*(p**6\/(p*p*p*p*p**(-6)))\/((p\/p**2)\/p**6) assuming p is positive.\nAnswer: p**(931\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -739, -1474, -2209, -2944, -3679, -4414?\n\"Answer: -735*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21041 is divided by 25.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 y when three letters picked without replacement from dyyydyyyyy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-3))\/(1\/(-3)). Let l be (2\/6)\/((-115)\/(-2760)). Let g(q) = -q**2 + 6*q + 4. Let k be g(6). Solve k*v - l = j for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 65100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n = 48665*y - 48673*y - 4, 2*y = n - 7 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - r + 4*f = 150, -5*f = 4*r - 285. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 15) in base 10?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 83990 divided by 8399\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 - 3*x + 4. Let s be m(3). Let k = 103 - 64. What is the highest common divisor of s and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5*(335\/25 - 13). Put -4, 21, i, -5 in ascending order.\nAnswer: -5, -4, i, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -40074, -40084, -40094?\n\"Answer: -10*x - 40064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42746*d**2 + 589172*d wrt d.\nAnswer: 85492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 10:33 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 126978*x + 1301730 wrt x?\nAnswer: 126978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -115928.42 and -13?\nAnswer: 1507069.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 16. Suppose k + 0*k - 4 = b*u, 28 = 2*k - 5*u. Let m = -12 + k. What is the greatest common factor of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 2:36 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**2 + 47070*i = 0. Calculate i.\nAnswer: -15690, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jbkjbx. Give prob of sequence kjb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 248, 433, 620, 809, 1000, 1193?\n\"Answer: g**2 + 182*g + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 8.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -82\/3, -9325 in increasing order.\nAnswer: -9325, -82\/3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 562, 492, 422?\nAnswer: 352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1193*o**2 - 1197*o**2 - 4*o + 4*o in the form u + r*o**2 + g*o and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 0. Let b = h - 2. What is the third derivative of b*q**3 + 2*q**3 + 4*q**2 - 2*q**2 wrt q?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 11 = -53. What are the prime factors of p?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -396*m*q**3*s**3 + 4*m*q**3*s**2 + m*q**3*s - 5*m*s**2 + 2*q**3*s**3 + 3*s**2 wrt s.\nAnswer: -2376*m*q**3 + 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10680490 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 197 = -5*q + 165, 0 = 4*q + 28. Solve -41*c = d*c - 176 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 divided by -1\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 173, 176, 179, 182, 185, 188?\n\"Answer: 3*p + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -860005 times -0.4?\nAnswer: 344002","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-60)\/6)\/(80\/(-48)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -q**6\/60 - q**5\/30 - q**4\/8 + 2*q**3\/3 - 3*q**2. What is the remainder when (240 - -1) + 7 + -3 + -3 is divided by n(-3)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18.098 at most 475?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 2*y - 8, 0*y = 4*y + 3*s - 9. Suppose -4*v + f = -12, 2*f = -y*v + f + 16. What is the units digit of 36\/16 - 1\/v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8748, 17498, 26244, 34986, 43724, 52458, 61188?\n\"Answer: -2*k**2 + 8756*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/10 of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.55135 - 47.55355. Let a = -58.4 - -11.4. Let l = u - a. Round l to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1357 - -1377. Let g(n) = -55*n - 1. Let v be g(-1). Let j = v - d. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006300527 rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -715*q - 23. Let o(h) = 2*h. Determine t(o(b)).\nAnswer: -1430*b - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 times 11915052?\nAnswer: 1465551396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 + 38. Let i = -5 - -6. Let o be (9 + i)*9\/2. Calculate the greatest common factor of u and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10386\/(-78) + 2\/13. Let u = g + 137. Which is the closest to u? (a) 0.3 (b) -5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1100)\/90 - -12) + (-38)\/(-36)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - (4\/2 + 0). Suppose -4 = -4*c + 2*g - b, -4*c + 3 = -3*g. Suppose 2*n - 5*n - 3*w + 81 = c, 3*w = -5*n + 143. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 714*k + 4296. Let g be a(-6). Sort -1, -24, -3, g in ascending order.\nAnswer: -24, -3, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a millennium in decades?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5184802 or 25924012\/5?\nAnswer: 5184802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 3812667?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 711343075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92720722 to the nearest integer?\nAnswer: 9629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 22 - 521*t**3.\nAnswer: -521*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p + 2*p + 6*p. Suppose p = -2*i - 8, -c - 2*i = 4*c - 42. Let y(b) = 16*b - 40. Let n be y(c). What is the highest common divisor of 15 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272) + 0 + sqrt(272) + 3 + (-2*(-1*sqrt(272) + sqrt(272)))**2 - (3 + -3*((0 + sqrt(272))**2 - sqrt(272)) + -2).\nAnswer: -4*sqrt(17) + 818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9325980?\nAnswer: 2, 3, 5, 197, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -254, -563, -1058, -1751, -2654, -3779?\nAnswer: -5138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (0 + (1 - 4) + 1 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -n**4\/24 + n**3\/6 + 3*n**2. Let v be c(-4). Solve 7*f = 2*f + v for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m - 14*m - 216 = -5*p, p = -5*m + 60. Calculate the smallest common multiple of 44 and p.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 93 (b) 3 (c) 58\/7 (d) 0.4 (e) 2 (f) 5 (g) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2750536 is divided by 569?\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -494 + -163?\nAnswer: -627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(1\/4)\/f*f*f**(-1)*f)\/(f\/(f*f**(-4))*(f*f**(2\/25))\/f))**(-9\/4))**(-38) assuming f is positive.\nAnswer: f**(-65493\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*g + 5*g + 241858 = 240850 for g.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (108\/42)\/(-2 - 199\/(-98))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -2*o + o + 3, -6 = -5*n + o. Let x be (6\/10)\/(-1)*-5. Suppose 5*q = 3*q + x*w + 6, 0 = w. Solve 0 = q*z - 7 + n for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 0.3, -15.109, -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w + 4. Let t(s) be the third derivative of 17*s**5\/10 + 1714*s**2. What is l(t(n))?\nAnswer: 102*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -543.46 - -551. Let y = -0.24 + z. Let l = 6.8 - y. What is the third smallest value in 1\/3, 3, 0.3, l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 5*j + 3. Suppose 12 = -x + 4*x. Suppose -5*g + 3*h = -35, -x*h - 19 = -g + 5. Give p(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(1 + 2) - -5. Let p = z - 3. Factor j**3 + 0*j**p + 4*j**2 - 5*j**2.\nAnswer: j**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -353.0377645 rounded to one decimal place?\nAnswer: -353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18*1*((-8)\/(-204))\/(46\/(-23))?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -124 + 121. What is the smallest value in 2, -57, y, -1\/2?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 21*t**2 + 47*t - 20. Let d be h(23). Solve -3*w + 8*w - 3*y - 10 = 0, -4*w + d*y + 11 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 152\/(-19) + -192*4\/(-6). What is the highest common divisor of d and 1152?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -41*x + 3. Let v(k) = 92*k. Give n(v(o)).\nAnswer: -3772*o + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 - 15792*n**2 - 31578*n - 15788.\nAnswer: -2*(n + 1)**2*(n + 7894)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(-14)*-14*16\/(-896).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/(-3570)*(-7)\/1.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12680, -12681, -12690, -12713, -12756, -12825, -12926, -13065?\nAnswer: -13248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 247 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 9:14 PM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145 - 78536101268.\nAnswer: -78536101123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/3)\/((-105)\/(-300) - (-4 + 299\/65)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*f**4*l**3 + 31257*f**2*l**3 - 303967*f*l**3 + f*l - f wrt f.\nAnswer: -324*f**2*l**3 + 62514*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 76818.72 micrometers?\nAnswer: 0.07681872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 103\/124 or 0.77?\nAnswer: 0.77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 43.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3 = 3*w, 5*q = 2*w - w + 15. Suppose 5*p + 0*p = w. Which is smaller: p or 2\/13?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57974.97 centuries to years.\nAnswer: 5797497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/96283187 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1, -0.081 in increasing order.\nAnswer: -1, -0.081, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1905 = -55*f - 805. What is the remainder when 914 is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -0.081, 120.5, 11, 1\/3?\nAnswer: -0.081","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272 is divided by 76?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, e: 8}. Give prob of sequence eee.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253101.\nAnswer: 3, 239, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*j**3 - 9*j**3 + 0*j**3 + 12*j - j**2 to i*j**2 + u + l*j**3 + f*j and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-125 + 139 + 570)*(3*f - f - 3*f)*(2 - 5 + 1).\nAnswer: 1168*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*r**2 + 2 - r**2 - 5 + 5 + (1 + 3 - 2)*(-r**2 + 4*r**2 - 2*r**2) + 478*r**2 + 598*r**2 - 887*r**2 - 2.\nAnswer: 192*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/3))**2*(l**6\/l)\/l**(-6))\/((l**(-3\/4)*l**(-1\/4))\/(l**(2\/5))**(-2\/25)) assuming l is positive.\nAnswer: l**(4738\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - -15. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**2 - 39164*s - 3636944 = 0 for s.\nAnswer: -92, 9883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 36 = -4*j, 4 + 2 = -3*j. Calculate the remainder when 54 is divided by k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 4\/3*b**3 - 4*b - 1 + 0*b**2. Factor a(m).\nAnswer: 4*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 150 - 20. What is the remainder when 194 is divided by z?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of 7*n**4\/2 + 3*n**3 + 13*n**2 + n + 77. Is p(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a**2 + 4*a**2 - 3 - 2*a**2. Suppose -c = -3*n - 9, 3*n + 9 = -0*c + 3*c. Let b = c - 0. Give v(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 870, -3, -1, -5, 0.3 in increasing order.\nAnswer: -5, -3, -1, 0.3, 870","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4255032 by 12.\nAnswer: -354586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9476409 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {p: 2, e: 1, c: 2, s: 5, q: 1, y: 4}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*o = -o - 10044. Suppose -4*w + 179 = 3*l, -82 - 118 = -4*w + 4*l. Calculate the remainder when o is divided by w.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 408*i + 0*i**2 - i**2 - 4*i**2 - 858*i + 596 + 453*i to the form g + y*i + p*i**2 and give g.\nAnswer: 596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24 - -214?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 227877468 a multiple of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 3*w + 14, 3*w + 3 = -5*o - 13. Let x be (-3)\/(9\/(-21))*-1. Sort 1, 4, x, o.\nAnswer: x, o, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-59)\/((-1770)\/12)*(-10)\/(-66).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 21\/12 - (2605\/(-780) - -4)*3. Which is smaller: 11\/4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9234489.\nAnswer: 3, 11, 233, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-54)*(-21)\/1)\/1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -12 - 35*p - 19 + 0 - 5. Does 8 divide k(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25656*w - 12*w**2 + 1666*w - 3*w**3 - 12429*w - 15763*w.\nAnswer: -3*w**3 - 12*w**2 - 52182*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - 44, 18306*f - 18303*f - 38 = -5*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*w - 171*w - 210 = -10*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8707, -34832, -78373, -139330?\nAnswer: -217703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + 10. Let f be (-48)\/27 + 4\/(-18). What is the remainder when j is divided by 1 + (14 - 3) + f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c + 16*c - 9*c - 2*c.\nAnswer: 13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -17125, -34263, -51349, -68359, -85269, -102055, -118693, -135159?\n\"Answer: 4*t**3 + 2*t**2 - 17172*t + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 346.8 - 346.800105. What is w rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*q + 525 = 0, 3*c + 5*q = -92 - 403. What is the tens digit of 6\/(-2)*(c\/15 + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 109*q + 36*q - 1450 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -452193724 and -0.02.\nAnswer: -452193724.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.99 - -0.01. Let a = -380 + 380.3. What is the closest to q in a, -1, -1\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15132, 29580, 44028, 58476, 72924?\nAnswer: 87372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 12 = 5*v - 42, -3*v + f + 8 = 0. Let m be (2\/(-6))\/(v\/(-12)). Suppose 0 = 3*g - 2*n - 5, -2*g - 3*g + 1 = m*n. Let z(s) = s**2 - 1. What is z(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 303400567?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10215105*j**3 + 17219026?\nAnswer: 30645315*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/36)\/(-2)*(-22)\/(-154)*(-21)\/36?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/2562568 and 1\/2242247?\nAnswer: 17937976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2212474 and 1552034?\nAnswer: 103986278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 6*q + 3. Let v(m) = -11*m - 5. Let k(b) = 5*g(b) + 3*v(b). Let c(w) = -4*w. Calculate -5*c(u) + 6*k(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 55\/(-198) + (-2)\/9. Which is the closest to -0.1? (a) w (b) -4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16122198 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -10*m + 5*m - 2*t, 4*m + 8 = -4*t. What is the biggest value in -3\/4, 1\/8, m?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*n = 5*b - 14, -4*b + 12 = 2*n. Put 3, -1, b in increasing order.\nAnswer: -1, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -1) + 8 + -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + -1)*(6741\/14)\/9. Let z = 112 + v. Suppose 0 = 5*u - 2*b - 17, u + z*b - 1 = -u. Calculate the lowest common multiple of 33 and u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = -5*s + 6. Is 16 a factor of ((-96)\/s)\/((-1)\/(-5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 6*x + 7. Let l be w(7). Suppose 0 = -l*b + 2*b, 4*h = -b + 4. Let i(q) = q**2 + 1. Let z(g) = 3*g**2 - 1. Calculate h*i(k) - z(k).\nAnswer: -2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 713588, 1427174, 2140760, 2854346, 3567932?\n\"Answer: 713586*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8057, -16138, -24219, -32300?\nAnswer: -40381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q**3 + 2*q**2 + 4*q + 1. Suppose 5*d = -4*r - 23, 0 = 2*r - 10*d + 7*d - 5. Let k(u) = 21*u**3 - 11*u**2 - 21*u - 6. Calculate r*k(l) - 11*h(l).\nAnswer: 2*l**3 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -30, 0.1, -1?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -1263 and -1260 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 115615642 to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1295877267 to the power of 1\/2, to the nearest integer?\nAnswer: 35998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + 874\/(-95))\/((-186)\/60).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*u + 2*u = 93, -n + 30 = -4*u. Calculate the least common multiple of 93 and n.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**4 - 30*y**3 - 149*y**2 + 184*y + 4. Let q(l) = 3*l**4 - 89*l**3 - 447*l**2 + 554*l + 14. Let d(u) = 4*q(u) - 14*t(u). Find k, given that d(k) = 0.\nAnswer: -5, 0, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/640 and 63\/992.\nAnswer: 19840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19143213257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - b**2 + b + 10. Let f(c) = c + 4. Let l be f(-4). Let z = -15 - -33. What is the remainder when z is divided by y(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 173270 * -77\nAnswer: -13341790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31902496 is divided by 4248?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 p when two letters picked without replacement from {p: 2, g: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrdn when four letters picked without replacement from {r: 2, d: 1, n: 7}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49 - -50. Let h = 27.21 + -27. Let g = -0.24 + h. Are g and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 4*w**2 - 5*w + 15. Suppose -361 = -50*g - 211. Give p(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -1077541?\nAnswer: -1077543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 1 - 22 = 5*u, -5*u + 35 = 5*x. Let w(k) = k + 4. Let f be w(x). Let o = -7 + f. Solve n + 3 = 0, o*n + 12 + 8 = 5*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*g - 2*l + 42, 3*g - 26 = 5*l. Suppose -2*f - 600 = -g*f. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 306 divide 1023350292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/2872 and 89\/64.\nAnswer: 22976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 573010 and -0.2?\nAnswer: -114602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**10*n)\/n)\/n*n\/n**(-2\/9)*n)\/((n\/(n**(-4)*n))\/(n*n**(7\/6))) assuming n is positive.\nAnswer: n**(169\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - m - 46. Let t(p) = 7*p**2 + 6*p + 2. Let a be t(-2). Let c = a + m. What is the closest to 2\/7 in c, -2\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 853391.6um?\nAnswer: 85.33916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -8*a**2. Let j(z) = z**2 - 5*z - 5. Let u(f) = -f - 1. Let n(v) = j(v) - 5*u(v). Calculate n(w(p)).\nAnswer: 64*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133671 = -49*i - 5095. What are the prime factors of i?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from ttttzttz?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 3*s + 24. Suppose 3*r + r - s = 0. Suppose -5*h = 1 - r. Put -2, 5, h in ascending order.\nAnswer: -2, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 35 = 3*x. Let w(v) = v + 13. Let a = 0 - 0. What is the remainder when w(a) is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o + 165 = -8*o. List the prime factors of o.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 219 + -39. What is the greatest common factor of 9 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(2744))\/((sqrt(112) + sqrt(112) + (sqrt(112) - (sqrt(112) - -1*sqrt(112))) + sqrt(112))*4))**2 + 2.\nAnswer: 1481\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + 1. Let f = g - 6. Calculate the remainder when 26 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 862291 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -2*p**2 + 1\/70*p**7 + 1\/16*p**4 + 0*p**6 + 0*p**3 - 1\/224*p**8 + 0 - 1\/20*p**5 + 0*p. Suppose w(i) = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3 = 9. Is (-388)\/i - (-4)\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -5*y**5 - 12575*y**4 - 123710*y**3 + 3875340*y**2 + 44188200*y = 0.\nAnswer: -2505, -14, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 369 a factor of 345015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-4) - 0) + (-9)\/(-2). What is the highest common divisor of 114 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 301074 + -142463. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 1 + 465 - 10*n - 486.\nAnswer: -10*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 6*b - 1. Let f be z(-6). Let o(j) = -1. Let y(a) be the first derivative of a**2\/2 - 2*a - 114. Calculate f*o(w) + y(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -0.035 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 5:01 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 197 and 202 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, 2, 39, 102, 197?\nAnswer: 330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 5) + 6 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.730189 rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + sqrt(4)\/sqrt(2)).\nAnswer: -4 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 197774 and 1.3.\nAnswer: 197775.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76909 and 32961?\nAnswer: 230727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18*2\/(-16))\/3.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2052091*t + 708019 with respect to t.\nAnswer: -2052091","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4 = -0. Let h be b\/(-7) - 74\/(-14). Suppose 0*p - 2*p = 3*w - 52, 4*w - h*p - 77 = 0. Calculate the highest common factor of w and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -5 + 6 - (-1 - -5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 799736209 and 6.238?\nAnswer: 799736202.762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*t - 0*t + 5*m, -3*t + 30 = 5*m. Let x = 271 + -269. What is the third derivative of -16*o**x - 6*o**t - 13*o**5 + 590*o**4 - 590*o**4 wrt o?\nAnswer: -1140*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/((r\/(r**2\/r))\/r)*r*r**(-3)*r*r)\/(r\/(r\/(r**(-2\/7)\/r)))**(-1\/11))\/((r\/(r**(-2\/5)\/r*r*r*r))**27\/(r**0*r*r)**(-15)) assuming r is positive.\nAnswer: r**(-4203\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -56, -238, -542, -968, -1516?\n\"Answer: -61*x**2 + x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 4*x - 2*x - 82, 2*x = -b + 72. Suppose -x = 5*y - 82. What is the highest common divisor of y and 549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 6:17 PM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*t + 189 = 14 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -36 - -24789?\nAnswer: 24753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -2.1. Let o = 1.2 + -0.2. Put -0.4, x, o in descending order.\nAnswer: o, x, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(5 + (248\/(-36) - -2)). Let n(b) be the second derivative of o*b**3 + 0 + 1\/45*b**6 + 0*b**2 - 1\/18*b**4 + 0*b**5 + 16*b. Find h such that n(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7342 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49662 and 3906?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 101115596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 444750885 divided by -9?\nAnswer: -49416765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17326.\nAnswer: 2, 8663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, n: 1, t: 3, u: 1, p: 1}. What is prob of picking 1 t, 1 u, and 1 p?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.5, -0.2, 2\/3, -0.59.\nAnswer: -0.59, -0.5, -0.2, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 1931009*h**2. Let w(j) = -6*j**2. What is w(c(l))?\nAnswer: -22372774548486*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 829700089\/122474 - -12\/61237. Let v = n - 47366\/7. What is the common denominator of v and 161\/30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 496214.20609 - -13354.\nAnswer: 509568.20609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2176\/3 - -725. Suppose 6 = x - 8. Let w = 3\/20 + 1\/10. What is the closest to a in 2, w, x?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1927 to two decimal places.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16711 + -16714. Let u = 7 + -4. What is the smallest value in o, 2\/5, u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1211*y = 1147*y - 81 - 559 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -690 + 996. Let z = m + -326.1. What is z rounded to 0 dps?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63)\/(-1197)*589 + 12?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20\/743 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 5*t + 5*x + 7, 5*x = 4*t - 43. Suppose -4*p + t*p = 384. What is the greatest common divisor of p and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -83*b**6 - 3*b**5 + 6*b**4 + 76*b**2 + 750?\nAnswer: -9960*b**3 - 180*b**2 + 144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000018081 rounded to seven decimal places?\nAnswer: 0.0000181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 794459?\nAnswer: 73, 10883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.2236 - 213.7764. What is the third biggest value in 3, 21, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 x, and 1 f when four letters picked without replacement from {j: 2, f: 1, x: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 + 21 = k + 4*g, 2*g - 37 = 4*k + g for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -921\/44 - -83\/4. Which is the second smallest value? (a) 0.163 (b) l (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 30456?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -1322101?\nAnswer: 1322103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 1063 + 4005 = 0. Suppose 6145 = -357*g + d*g. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62 + -68.4. Let r = 6 + n. Let t = -139 - -138.7. Which is the third smallest value? (a) r (b) t (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1155)\/(-55))\/147)\/((-2)\/8)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/21 and -35\/207324.\nAnswer: 1451268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8811 (base 9) to base 3.\nAnswer: -22220101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209 - z - 824 + 204 + 198 + 213.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 3*u**3 + (2*u**2 + 4*u**2 - 7*u**2)*(-u + 4 - 4).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n + 38. Let h(w) = -2*w - 33. Give -3*h(m) - 2*v(m).\nAnswer: 2*m + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2482, -19521, -65770, -155833, -304314, -525817, -834946?\n\"Answer: -2434*q**3 - q**2 + 2*q - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (3 + -2 - 3) - 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-146)\/(-39) - 3817\/1041?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -323*m**6\/120 - 239*m**3\/6 + 88*m**2 - 2*m. What is the derivative of v(s) wrt s?\nAnswer: -969*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.05 and 66672 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (270\/(-20) - -1)*-8. Let j be 98\/4 + (-1)\/(-2). Let z = 35 - j. What is the greatest common factor of y and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*r - 28*r + 20 = 4*l, 0 = 4*r + 4*l - 12. Sort -5, -2, -56, r, 2.\nAnswer: -56, -5, -2, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (178\/445)\/((24\/(-25))\/(-2))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100011000 (base 2) in base 5?\nAnswer: 20204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 323433 (base 5) to base 2.\nAnswer: 10101101101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 2, 2536, 14, 389?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 2*u**2. Let f(g) = 4*g**3 - 22*g**2 - 3*g + 116. Let t(i) = -f(i) + 3*w(i). List the prime factors of t(26).\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36390 divided by -15\nAnswer: 2426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 12\/25 of a meter?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7084797 and -3.\nAnswer: 21254391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 3737453.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1490 in -5, -0.9, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 - 1161?\nAnswer: -1167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -45 + 109. Does 16 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 6672 + (-18 + 3)*(-4)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(-2*z + 2*z - z) + (5*z - 4*z + z)*(3 + 0 - 2).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*b = -32*b - 2982. List the prime factors of b.\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -347545106, -347545108, -347545110, -347545112?\n\"Answer: -2*y - 347545104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7237405671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.33508 litres to millilitres.\nAnswer: 82335.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 5*q - 16 = 0, -3*d + 2*q = -0*d - 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n**3*u**3*z + 512552*n**3*u*z**3 - 2*n**2*u**3*z**3 + n**2*u + 305*u**2*z**2 - 191*u*z**3 wrt n.\nAnswer: -12*u**3*z + 3075312*u*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189\/4*253\/(-1771).\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 59330706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d**5 + 0 - d**4 + d**3 + 1 + 4*d**5 - d**5. Let z(s) = 8*s**5 + 10*s**4 - 9*s**3 - 9. Let x(m) = 18*p(m) + 2*z(m). Factor x(o).\nAnswer: -2*o**4*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 602 (base 16) in base 2?\nAnswer: 11000000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 60*w - 329. Determine v(-54).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**2\/2 - 132*u - 783\/2 = 0.\nAnswer: -261, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in hours?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29328 = 5*z + 3*b, -9076 = -2*z + 4*b + 2650. Is z a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + -1 - -4) + (-5 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 + 1)*(-10*l - 4*l + 5*l) + 384*l - 274*l + 801*l to x*l + b and give x.\nAnswer: 884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -2 (c) -0.3 (d) -1 (e) -1068 (f) -6 (g) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*j**(-16))*j\/j**0*j)**30)**(-26))**(-5\/8) assuming j is positive.\nAnswer: j**8775","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4232919058?\nAnswer: 2, 347, 6099307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 495.5 (b) 55 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-696)\/464)\/((6\/2200)\/(-1)) and 990.\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 691 = -2891. Let w = t - -631. Calculate the remainder when w is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.46 + -0.4. Let l = 0.04 + p. Let x = -1072 + 1058. Which is the second smallest value? (a) 0.4 (b) x (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19376 and 46018.\nAnswer: 368144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1670619411 to the nearest integer?\nAnswer: 40873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.433 + -2.433015. What is t rounded to six dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 - 154200*u + 4313680.\nAnswer: 5*(u - 30812)*(u - 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + i - 2 - 6 = 0, 0 = 3*w - 3*i. Let z be 2*(-1 + 2) + 6. Let p be (-2)\/z*2*w. Are p and -1 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 20659.44 years?\nAnswer: 2065.944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oh when two letters picked without replacement from sschsohhchcsscchhho.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -57308 and 51.4.\nAnswer: -2945631.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*s**5 - 2*s**3*y - 2*s**3 + 10*s*y + s - 1 wrt s.\nAnswer: -380*s**3 - 12*s*y - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38219218?\nAnswer: 2, 31, 616439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 4:45 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 0 - (-3)\/9. Suppose 4*m + w = -9, -28*m + 23*m - 2*w = 12. Which is the nearest to j? (a) m (b) -4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 140.9 + -141. Which is the third biggest value? (a) 0.5 (b) f (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12489 and -54828.\nAnswer: -42339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-380)\/570)\/(((-12)\/14)\/((-4)\/28))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9620\/3 + 3206. What is the closest to q in -1\/8, 1\/1302, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r - 28*r**2 - 2*r + 24*r**2 + 4*r**3 in the form u*r + b*r**2 + a + j*r**3 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l**2 + 4*l**4 + 6*l**2 - 11*l**4 wrt l.\nAnswer: -168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ay when two letters picked without replacement from ydaaaaaaauiooa.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 3*t - 8. Let u(b) = -2*b**2 - 7*b - 17. Calculate -7*l(g) + 3*u(g).\nAnswer: g**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -8*f. Suppose f = -2*u + 16. Let k be ((-10)\/u - 0) + 1. Which is greater: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/7 of a week in minutes?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lhhlhhhlg. Give prob of picking 3 h and 1 g.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1786541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kot when three letters picked without replacement from onkkoktnndnkookon?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3573, 14319, 32217, 57261, 89445?\n\"Answer: -g**3 + 3582*g**2 + 7*g - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.584052105 rounded to four decimal places?\nAnswer: -2.5841","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 62, 137, 242, 377, 542?\nAnswer: 737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1018 times 2?\nAnswer: -0.2036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, d: 5, s: 4, u: 1}. What is prob of sequence yu?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3479*b + 1 - 3476*b - 3478*b + 10434*b + 648*b**2.\nAnswer: 648*b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.6 + -0.6. Let s = 1237 - 1236. Which is the closest to s? (a) -5 (b) 1\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/120 (b) 4\/7 (c) 25 (d) 1 (e) -1 (f) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-8))\/(3\/24). Suppose 5*i - 22 + 6 = -b, -5*i = 5*b. Solve -6*u + i*u = 5*w + 9, -w - g = -u for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -59*x**4 + 35*x**3 + 15373 with respect to x.\nAnswer: -236*x**3 + 105*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46 - -48. Solve 3 = -c*t - 5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 901169507.\nAnswer: 7, 17, 2129, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 12) in base 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 29160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2582176?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6121*s**3 - 4 - 12146*s**3 + 6227*s**3.\nAnswer: 202*s**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -6*k - 35. Solve 3*i + 4*n = 9 - 2, -k*i - 5*n = -8 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*o - 7, -2*f - 21 = -5*o. Let x be (126\/f)\/((-12)\/(-8)). Suppose 0 = -3*n + 27 + x. Calculate the highest common divisor of n and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19143, -30064, -40985, -51906?\nAnswer: -62827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*v + 2*v + 42908 = -233*v + 11381 for v.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + 2*t - t - 37 + 32, -9*z = -7*z - 2*t for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5871.\nAnswer: 3, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3562457.58 rounded to the nearest one hundred thousand?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -23224839, -23224838, -23224837?\n\"Answer: d - 23224840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 + -80. Let u = -33 - v. Solve 5*j - j = u for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -42, -85, -128, -171, -214?\n\"Answer: -43*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 20*m**2 + 17*m - 26. What are the prime factors of a(-19)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3181 less than -3184?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of n**4\/24 - n**3 - n**2. Let i be u(8). Solve p - 3*o = 10, 1 = 3*p - i*o - 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 2:21 PM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/((10\/90)\/((-16)\/144))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is 11\/165*-5*(-1)\/(3*(-3)\/(-1701))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 + -50. Let z(h) = 10*h**2 - 5*h. Let p(l) = -10*l**2 + 6*l. Calculate g*z(i) - 5*p(i).\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = a, -5250*s + 5229*s = -3*a - 51 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.7 + -0.03.\nAnswer: 1.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 - 703688*o**2 + 273982020*o - 26698417200.\nAnswer: 4*(o - 175532)*(o - 195)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/142345 and 83\/454.\nAnswer: 64624630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 3618?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 742105 greater than or equal to 743966?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 88 - 89. What is the common denominator of (-100 + -16)*(3\/(-40))\/o and -61\/84?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8483096.\nAnswer: 2, 397, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3505 + 3197 = 44*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*o + 27*o - 168*o = 1015 for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66 + 65. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 25*k - 5. Let d be 258\/14 - (4 - (-125)\/(-35)). Let c(z) = 87*z - 18. Let t(g) = d*u(g) - 5*c(g). Let v(h) = -h. What is 6*t(a) + 85*v(a)?\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46 (base 10) to base 16.\nAnswer: -2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -473, -475, -479, -485, -493, -503, -515?\n\"Answer: -f**2 + f - 473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 8*t**2 + 3*t + 7. Give o(-8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k - 1. Let d be f(-1). Let r(g) = g + 1. Let x be r(d). Solve 5*t = 2*p + 6, x*p + 14 = 5*p + 5*t for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -1486*d. Let v(f) = 2*f**2 + 31*f. Calculate l(v(b)).\nAnswer: -2972*b**2 - 46066*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p. Let s(g) = g + 10. Give s(i(a)).\nAnswer: -2*a + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.3790573 to two dps.\nAnswer: 1.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**2 - 166*u + 80196 = 0.\nAnswer: -246, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 57, -210, -479, -750?\n\"Answer: -g**2 - 264*g + 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*t + 1367 = -154 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -24*g**2 + 3*g - 15. Calculate u(6).\nAnswer: -861","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*l**3 + 69*l**3 + 42*l**3 + 16*l**3.\nAnswer: 155*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w. Let s(y) = 154*y + 1. Give s(o(j)).\nAnswer: -154*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, 4, -128\/9?\nAnswer: -128\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 2\/13 (c) -6 (d) -2 (e) -233\/4 (f) 7\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -5*u**4\/4 - 23*u**3\/3 - 180*u**2 - 224. What is the second derivative of o(k) wrt k?\nAnswer: -30*k - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/682 and 97\/110.\nAnswer: 3410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g + 3023 - 3023.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 175263845 to the nearest integer?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -460971 times 10?\nAnswer: -4609710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 3*g + 48 = 0. Let c be (141\/14 - 9)*42\/(-4). Is c at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 385310730.\nAnswer: 2, 3, 5, 7, 1834813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uenu when four letters picked without replacement from ueenueuunu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -188 * -0.44\nAnswer: 82.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8208 - 33792 = -12014*k + 11314*k for k.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 7*g = -3*w + 20, 5*g + 4*w - 67 = 0. Calculate the remainder when 53 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u - 33 = -12*u. Is 11\/(u\/608) - -5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 13 - 14*((-6)\/(-21) - 0). Suppose 3*p + 10 = 58. Suppose -p = -c + t. Calculate the remainder when 124 is divided by c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 7 + 3. Let x be (-11)\/(-9) + 2\/(-9). Suppose 17*n - 1 - 67 = 0. Put q, x, n in descending order.\nAnswer: q, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31395294 a multiple of 306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112240 = -62268*v + 64708*v for v.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 6:11 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 108, 362, 878, 1746, 3056?\nAnswer: 4898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5181.\nAnswer: 3, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (9 - 10)\/(1 - (-96)\/(-94)).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of 28*r + 0*r**5 - 1\/15*r**6 - 9\/2*r**3 + 55\/2*r**2 + 0*r**4 + 0. Differentiate b(x) wrt x.\nAnswer: -8*x**3 - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -95*s**4\/12 - 101*s**3\/6 - 3*s + 19. Find the second derivative of b(h) wrt h.\nAnswer: -190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13030*r + 423050 = -111180 for r.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9960 + -9731. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -43.27.\nAnswer: -4.327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27073845 and 20655.\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76\/(-57)*(6 - (-1 - 5)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 73*o + 9361. Give g(-128).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - i**2. Let k be u(2). Suppose 5*z = 3*q - 70, 0*q + 98 = 5*q + z. Suppose k*c = 44 + q. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112793 times 0.2703?\nAnswer: 30487.9479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n + 89*b - 3535, -2307 + 2187 = -3*b for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*4*11986\/(-2305)*20\/26.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-5*(((sqrt(72)*-2)\/sqrt(4))\/sqrt(9) - (3 + -2*sqrt(18))))**2.\nAnswer: -600*sqrt(2) + 1026","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l + l - l. Let t(x) = 10*x + 12. Let s(w) = w + 1. Let a(d) = -12*s(d) + t(d). What is a(o(r))?\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1220 - -1111100002?\nAnswer: 1111101222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/116596 and 125\/91692?\nAnswer: 9444276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 747, 732, 717, 702?\n\"Answer: -15*w + 762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*m = -75 + 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 8*c**2 + 276422. Let f(a) = 2*a + 11. Calculate i(f(m)).\nAnswer: 32*m**2 + 352*m + 277390","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -6520?\nAnswer: 6521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*z**3 - 3*z - 10*z**3 + 6*z**3 + 4 wrt z?\nAnswer: 102*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 + -4.9. Let o = -5\/2 + 13\/6. Let g = 1451 + -1453. Sort o, g, a in descending order.\nAnswer: o, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 23797 from 3.277.\nAnswer: -23793.723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.833683 litres to millilitres.\nAnswer: 833.683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 10 + 0 - 15 + 452*p.\nAnswer: 452*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 52 = 8. Suppose -16 = -0*h - 4*h. Suppose -2*z = -q + 11, 2*q - h*z - 1 = q. Calculate the remainder when q is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 33*w - 50*w. Suppose 3*u - 4*n + 3*n - 23 = 0, 0 = -5*u + 4*n + 36. Let o = w + u. Is 11 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, p: 2, g: 1, n: 11, f: 3}. Give prob of picking 1 p, 1 l, and 2 f.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 2*h**2 + 26. Let p be v(0). Let a(i) = i - 3. Let k be a(4). Suppose -5*j - k + p = 0. Is j even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -818*z**2 + 1 + 434*z**2 + 422*z**2 - 2*z**2 + 3*z - 3*z + (2*z - 1 + 1)*(0*z - 2*z + 0*z) - 4*z**2 + 2*z**2 + 4*z**2.\nAnswer: 34*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppopptpoppppoppp. What is prob of picking 1 o and 3 t?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-5*sqrt(77)*2*3)\/((sqrt(35) + -3*sqrt(140)\/sqrt(4))\/(sqrt(20)\/(sqrt(16)\/sqrt(4)))))**2.\nAnswer: 2475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 10*v - 12 = 4*v. Let f(x) = -x**2 - 6*x + 62. Calculate f(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6839133 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 7:15 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 - 2*z**2 - 3*z**2 - 2 to d*z + s*z**2 + k and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**3 - 15520*h**2 - 112*h + 25?\nAnswer: 6*h - 31040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 100\/3*i**3 - 104\/3*i - 50\/3 + 4\/3*i**5 + 58\/3*i**4 - 8\/3*i**2 = 0. Calculate i.\nAnswer: -25\/2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -6\/11 (b) 4 (c) -0.08 (d) 0.53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 763.1217 days?\nAnswer: 18314.9208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 5*j + 24 = 3*l, 3*j + 21 = 4*l. Sort 28, -3, l, -4.\nAnswer: -4, -3, l, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.22397 to 2 dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89, -335, -747, -1325, -2069?\nAnswer: -2979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8355, 8353, 8349, 8343?\n\"Answer: -b**2 + b + 8355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 3*q + 29, -m = 3*m - q - 93. Let z = -16 + m. Let a = z - 4. Solve -5*j = 10, 0*x + a*x = -4*j for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 + 28. Let o(v) = 4*v**2 + 55. Give 3*o(p) - 5*y(p).\nAnswer: 2*p**2 + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43430 and 370670.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + 1 - 1)*(d**3 - d**3 + 4*d**3) + 0*d**5 + 7*d**5 - d**5.\nAnswer: -2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22699 = -1300*p + 36562 - 17661 for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r - r**3 + 6*r + 2*r**2 - 4*r - 62 + 0*r. Let p(x) = 2*x**3 - 3*x**2 + 2*x + 124. Let g(n) = 5*l(n) + 3*p(n). Is g(0) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/1*76\/684*22?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24723508*p**2 - 25127076*p?\nAnswer: 49447016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 51*h**2 + 233*h - 1635. Calculate q(47).\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -8*x. Solve 2*v + x = 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**3 + o**3 - 5*o**3)*(-276*o**2 + 3 + 494*o**2 - 278*o**2) + (o**4 + 0*o**2 + 0*o**2)*(6 - 6 - 4*o).\nAnswer: 56*o**5 - 3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6092480 and 1264?\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90, 308, 682, 1224, 1946, 2860, 3978, 5312?\nAnswer: 6874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, z: 4, x: 2}. Give prob of picking 1 i and 2 x.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**5 + 1816288*y**4 + 206181381184*y**3.\nAnswer: 4*y**3*(y + 227036)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2939 in 5, -0.2, 1\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1520763 is divided by 718?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 7*n + 50. What is i(-4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 43623 and 19388?\nAnswer: 174492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 5 - 1 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -101 + 157. What is the remainder when u is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 40b5 - -1?\nAnswer: 40b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 + -301122?\nAnswer: -301104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20.86 and 26934?\nAnswer: -561843.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 3*y - 42, -3*a + 3*y = 4*y - 22. Suppose -a*z = -24 + 6. Sort -5, z, -10 in descending order.\nAnswer: z, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) -85456\/11 (b) -0.1 (c) 5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24\/5 + 2\/60*6. Suppose -2*z + 10 = 3*v - 365, 0 = k*z + 3*v - 924. What is the remainder when z is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 9:30 PM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1170 + 1105. Which is the second smallest value? (a) d (b) -0.02 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/1925308 and -95\/2156.\nAnswer: 1925308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 23756 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -403 (base 12) to base 5\nAnswer: -4304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 213\/4? (a) -0.1 (b) -2\/11 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3787, -7576, -11365, -15154, -18943, -22732?\n\"Answer: -3789*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -84\/5 or 93.15?\nAnswer: 93.15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 6.6. Let n = 4.6 - s. Let f = -13\/30 + 3\/5. Which is the third smallest value? (a) n (b) f (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 946\/(-516) - 11*164\/24.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 7:15 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2920, 2919, 2918?\nAnswer: 2917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 38232?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {o: 1, u: 1, r: 5, n: 4, e: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -6\/345688897?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 94201, 376829, 847877, 1507345, 2355233?\n\"Answer: 94210*t**2 - 2*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -45*m - 13. Is t(-20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 12:49 PM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + (-1)\/(-2 + 82\/42). Suppose -c*h + 20*h = -24. Solve 3 = 3*y - h for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/85, 0.73, -17, 2\/13 in decreasing order.\nAnswer: 0.73, 2\/13, -4\/85, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-48)*10\/25*-5. What is the second smallest value in -0.3, d, 2\/5, 23?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 10*v. Let w be k(11). Let p(s) = -s**3 + 12*s**2 - 11*s + 3. What is the units digit of p(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 39. Let a be s(0). Let l = 68 + a. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52948.\nAnswer: 2, 7, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-7) + 1 - 18\/(-63). Suppose -5*q + 129 = 3*f, 0 = -d*q - 0*q. Is f a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -199, -455, -883, -1483?\n\"Answer: -86*g**2 + 2*g - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*h + 3*s + 26 = 0, -79*s + 9 = -h - 81*s for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -64, -126, -212?\nAnswer: -322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-2\/45))\/x)\/x*x**(-15))\/(x\/(x\/(x\/((x\/x**(-1\/4))\/x)*x)))**(2\/7) assuming x is positive.\nAnswer: x**(-1489\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 383396, 383429, 383482, 383555, 383648, 383761?\nAnswer: 383894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, -2012, -0.5, -1 in descending order.\nAnswer: 4\/5, -0.5, -1, -2012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 11*h. Let k(c) = -278*c**2 - 299*c**2 + 1 + 705*c**2 - 1. Calculate g(k(o)).\nAnswer: 1408*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -413156 or -4?\nAnswer: -413156","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 204 - -22043?\nAnswer: 22302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 98662.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 596 and 12060060.\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d - 279. Let q(i) = -2*i**2 - 6*i. Calculate w(q(p)).\nAnswer: -2*p**2 - 6*p - 279","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 34\/11020593?\nAnswer: 34\/11020593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -81*b**3 - 12*b**2 - 12*b - 145. Let p(t) = t**3 + 2*t**2 + 2*t + 1. Let c(n) = o(n) + 6*p(n). Differentiate c(a) with respect to a.\nAnswer: -225*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 79493 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-12))\/((-104)\/(-2184))?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 115.43 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(-3))*a*a\/a**4)**(-36)\/((((a**(1\/4)\/a)\/a)\/a)\/a*a**9)**31 assuming a is positive.\nAnswer: a**(69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 808 divided by -1.\nAnswer: -808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of 1\/2*d**6 + 9\/4*d**4 - 9\/5*d**5 + 0*d - 2 + 0*d**2 - d**3. Factor p(n).\nAnswer: 3*n**2*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 206 = 4*u, -17 + 285 = 5*u - 4*j. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10912 + 113?\nAnswer: -107bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/10 and -21\/3452?\nAnswer: 17260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/5? (a) 1\/3 (b) -5340 (c) 13\/4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000594664 to six dps.\nAnswer: -0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 437 = 3*r - 5*q, -3 - 3 = -3*q. Suppose -5*b + 1361 = -r. What is the third derivative of b*n**2 - 3*n**4 - 5*n**4 - 296*n**2 + 3*n**4 wrt n?\nAnswer: -120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30592 is divided by 26?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4737 is divided by 277.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 72894641 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 72\/5 - 782\/55. Let l = -8 + 7.7. Suppose -12*s = -16*s + 20*q, 5*q = 2*s - 5. Sort s, l, i.\nAnswer: l, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -631\/3 at most as big as -210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4699?\nAnswer: 37, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-451)\/220 + 2 - (-298)\/65160 and -131\/1086?\nAnswer: 3258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1017 divided by 17\nAnswer: 1017\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r**2 + r. Let z(c) = 2*c**2. What is -6*j(q) + 14*z(q)?\nAnswer: -2*q**2 - 6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (23 - 2)*(-60)\/70. Is 4\/c + 20830*(-1)\/(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 26821 - 20892 = h, 0 = -5*h - 2*j - 238499. Let g = -1430873\/30 - h. What is the common denominator of g and -117\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 45*x**4\/4 - 23*x - 2. Let j(v) = -3*v. Calculate c(j(n)).\nAnswer: 1215*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 0.04 (b) 5 (c) 63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2099*p. Is b(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -435527 - -134?\nAnswer: -435373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 506*b + 481*b + 493*b + 500*b - 2515*b + 497*b.\nAnswer: -38*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -1120*b - 1. Let r be k(4). Let t = r - -26815\/6. What is the common denominator of 4 - (-201)\/(-72)*3 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 48 - 144 = 0. Let x(a) = a**3 + 6*a**2 + 4*a - 5. Let z be x(-5). Let c = z + p. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -256.8082033 rounded to the nearest 10?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmbbumb. What is prob of picking 2 m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 4*u + 48, 12 = 4*v - 4*u - 24. Solve -3*n - 3 = v for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t = 8*t + 29210. Let q = t - 3713. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 5*g - 15. Let m be (-6)\/5*((-3 - -18) + -5). Is u(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23*(-2)\/(-36) - (-4)\/(-144)*8.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112204 divided by -263?\nAnswer: 112204\/263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, q: 1, v: 1, t: 1, u: 2, c: 5}. What is prob of sequence cuq?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 20. Let i = 590647\/52 - 11362. Let l = -54\/13 - i. Which is the nearest to y? (a) l (b) 3\/7 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1388*h = 2016*h + 5133*h - 213157 for h.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**5\/13 - 132*l**4\/13 + 2030*l**3\/13 + 5292*l**2\/13 - 10744*l\/13 - 13872\/13 = 0?\nAnswer: -3, -1, 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 + 47 + (-1 - (-2 + 5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 divided by 19355?\nAnswer: 54\/19355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1541, 1553, 1573, 1601, 1637, 1681, 1733?\n\"Answer: 4*v**2 + 1537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -186 less than -266843.31?\nAnswer: -266657.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 458*u + 1211*u + 1910*u + 1371*u.\nAnswer: 4950*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-264)\/(-1155)*42\/(-12)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 711*x + 28149. Calculate b(-39).\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 63 = -2*m, 3*m + m = 3*o - 45. Is o\/(-2*(-1)\/2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6790937910.\nAnswer: 2, 3, 5, 23, 9841939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, m: 6}. What is prob of picking 1 m and 2 q?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.02 - 0.38. What is the biggest value in -2\/7, m, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -p**4\/24 + 5*p**3\/3 + p**2. Calculate the remainder when l(6) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4728 greater than or equal to -10800?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 14*a + 1068 = 0. Let s = 271 - a. Suppose 0*h**s + 3\/5*h + 3\/5*h**5 + 0 + 0*h**2 - 6\/5*h**3 = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*d + 6*d - 211 = 0, -i - 4*d + 109 = 0. Suppose -2*o - 3*o + i = 0. What is o rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 376 divided by 4.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 10, v: 1, r: 3, d: 2, e: 1}. Give prob of sequence vrl.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3455815 (base 13) to base 3.\nAnswer: 1010100000112011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, f: 1, a: 4, l: 5, u: 1}. What is prob of picking 2 l?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1202919 - -72687794.\nAnswer: 73890713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(102) - 4*sqrt(102)*2) + (sqrt(102)*-1 + sqrt(102) + sqrt(102))*-1)\/(sqrt(48)\/(sqrt(800)*3 - sqrt(800))))**2 + 2 + 0.\nAnswer: 435202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -55? (a) 5 (b) -6 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f + 4. Let o = 29 + -25. Let w be s(o). Which is smaller: w or 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sshacygy. What is prob of picking 1 y and 1 g?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -256, -325, -396, -469, -544?\nAnswer: -621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4*q + 3 = 0, -4*h - q - 17 = -0*h. Put 3, h, 5, -2 in descending order.\nAnswer: 5, 3, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a week in hours?\nAnswer: 483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(2\/9)\/a*a))\/a**(-3)*(a**(-1))**(-1\/22) assuming a is positive.\nAnswer: a**(757\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6749953*r**3 + 5753026*r**2 wrt r.\nAnswer: -40499718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mbybbvmyvqmvvbjyvb. What is prob of picking 2 v, 1 b, and 1 q?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 422 + -298. What is the greatest common factor of k and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -7*q + 13. Calculate the remainder when 117 is divided by i(-4).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from epeepeepppdepepd?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3605*r**2 + 7*r - 5. Let g(l) = 1803*l**2 - 3*l + 2. What is -5*g(p) - 2*u(p)?\nAnswer: -1805*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 68008.39 tonnes in micrograms?\nAnswer: 68008390000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 u when two letters picked without replacement from {a: 6, u: 3, e: 4}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-10)*(-12)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.26 + 3.96. Let d = 0.7 + o. Let b = 4 - d. Which is smaller: 0.2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -1\/6236809?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 33, 73, 117, 159, 193, 213?\n\"Answer: -p**3 + 8*p**2 + 23*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124131793.\nAnswer: 643, 193051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3*(-3 + sqrt(1088) + 0)*5)**2.\nAnswer: -9600*sqrt(17) + 246400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/1 - (-4)\/2. Let v be (-87)\/(-27) - (-2)\/(-9). Suppose v*w = -p*w + 429. Calculate the greatest common factor of w and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/14)\/(-7*6\/(-140)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*w + 3621. Let v = w - 680. Let g = -9551\/18 + v. Find the common denominator of g and -19\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, b: 3, u: 3, i: 8}. What is prob of sequence iul?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.6 less than 53534?\nAnswer: 53548.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g. Let o(n) = -7*n**2 + 6. Let v(i) = 15*i**2 - 13. Let b(f) = f**2 - 15*f - 6. Let u be b(15). Let a(l) = u*v(l) - 13*o(l). Determine w(a(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -6*o**3 + 0*o - 2*o + 3*o**3 - 5 + 7*o**2 + 4*o**3. Is a(-6) a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 261 divided by -11325\nAnswer: -87\/3775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w**2 - 4*w - 1. Let m(i) = 2*i**2 + 3*i + 1. Let g be m(-2). Let a be b(g). Let d = -10 + a. What is the highest common factor of d and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228012 to the power of 1\/2, to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 205\/96 + 1\/32. Suppose 77*j = 82*j - 25. Let y be j + 4*(-3 - -2). Is y != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282 is divided by 135.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 1309 divide 462699467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15249 is divided by 7393.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 - 6*v - 6. What is the remainder when z(6) is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 3*k - 2*k)*(0*k**2 - 5*k**2 + k**2)*(k**2 - 33*k - 32*k**2 + 34*k).\nAnswer: -248*k**5 + 8*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8951534 - 0.895. Round y to five decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/5 and -2129 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -297 + 94 + s**3 - s - 6*s**4 + 205 - 2*s**2 in the form o*s**4 + f*s + i*s**2 + z*s**3 + c and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -20*w**3\/3 - 33*w**2\/2 - 64*w + 1. Suppose 3*s + 0*s + 33 = 0. Is f(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/5*1 - (5 - 6)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-3)\/(-12))\/(7\/(-21)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (6 - 9) - 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q + 31. Determine m(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4559 and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -54, -76, -118, -186, -286, -424?\nAnswer: -606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 12*o**2 + 29*o - 3. What is n(4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229*p - 230*p = 0. Is p at most as big as -1\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/sqrt(2)*1*-3)**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 2 and 11\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -304667300 divided by 2176195.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 7*g + 1. Let i(f) = 7*f + 1. What is -3*i(t) + 2*j(t)?\nAnswer: -7*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**4*r**2 + 29*k**4 - 184*k**3*r**2 + 72*k**2*r**2 - 262*k**2 wrt k?\nAnswer: -48*k*r**2 + 696*k - 1104*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29869, 29912, 29979, 30070, 30185, 30324?\nAnswer: 30487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 11:09 PM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 423?\nAnswer: 1269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 - 87. What is the lowest common multiple of r\/242 + 444\/22 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 134.9?\nAnswer: 134.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**5 - 195*b**4 - 2775*b**3 - 13645*b**2 - 26184*b - 15120 = 0?\nAnswer: -180, -7, -4, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 101101100010011010100011 (base 2) in base 13?\nAnswer: 261c69b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.009 at most 0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 0.26?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/21, 152, -0.1, -3\/10376 in decreasing order.\nAnswer: 152, 1, -3\/10376, -2\/21, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2643732 and 46683.\nAnswer: 2457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 - -2 - -80)\/((-7)\/(-1) - 4). Solve -3*y = -5*x - 33, y + x + n = 24 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 14. Solve 0 = m*n - 16*n - 18 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1379760000 rounded to the nearest 1000000?\nAnswer: -1380000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -2*v**3\/3 + v**2 - 2*v - 96. Let y(t) = 6*t**2 - 7*t + 7. Calculate -7*l(x) - 2*y(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1490296729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*b = -98*b - 5*w + 640, -5*b + 1579 = 2*w. Is 63 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 123 + -115. Let j(c) = -c + 8. Calculate j(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20884*h**2 + 37822 with respect to h.\nAnswer: 41768*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 61211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**29*(t*t*t*t**15\/t*t*t)\/t assuming t is positive.\nAnswer: t**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 at least 452?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220230.\nAnswer: 2, 3, 5, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2670064 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b**(-6\/17)\/b)*b**(-6)*b)**35 assuming b is positive.\nAnswer: b**(-980\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-4 + -3) - (-9 + (25 + -34 - -30))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -330 = -42*y + 9*y. Solve y*l - 30 = 5*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -34*p - 162. Let f be i(-5). Solve -4*x + 2*d = 4*d - 24, 0 = -4*d + f for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 11*g**5\/20 + 7*g**3\/6 - 3*g**2\/2 + 137*g - 2. Let w(q) = -5*q**3 - 3*q + 2. What is 7*w(p) + 3*z(p)?\nAnswer: -2*p**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3c471 + 0?\nAnswer: 3c471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35*(21775\/(-469))\/(-65)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -223*j**3\/6 - 331*j - 3. Let m(x) = 2*x. Calculate o(m(l)).\nAnswer: -446*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 2*u - 90 = 0. Let b = -3776 + 3845. Calculate the remainder when b is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -1664?\nAnswer: -1665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**3\/4 + 5801*i**2\/2 + 532105*i\/4 + 1528281 = 0.\nAnswer: -11556, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c + 0*c - 3*c)*(-1 - 5 + 1)*(4*c**3 + 0*c**3 - 3*c**3).\nAnswer: 45*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 16 = -6*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = 4*c - 2*r + 21, -9 = -3*r. Let x = -2 - c. What are the prime factors of x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**2 - i**2 + 0*i**2 + (-i + 4*i + 9*i)*(3*i - i - 4*i).\nAnswer: -23*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -177, -178, -185, -198, -217, -242, -273?\n\"Answer: -3*y**2 + 8*y - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5*r**2 - 7*r + 9. Let y(l) = -3*l**2 - 4*l + 5. Let j(g) = 4*p(g) - 7*y(g). What is the remainder when 28 is divided by j(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30508 + -488129\/16. Let a be 12\/6 + 1\/1. What is the closest to -2\/3 in -4, f, a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1344)*2 - sqrt(63)\/sqrt(48))\/(sqrt(84)\/(sqrt(12) - sqrt(60)\/(2*sqrt(5)))).\nAnswer: 63*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(4*(-1)\/(-582)). Let w be 0 + h\/(-84) + -2. Let s = w + -12\/7. What is the second smallest value in s, 2\/5, 5\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 4, 0, 5.86, -0.1, 65, 0.1?\nAnswer: 5.86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3424350102 to the power of 1\/2, to the nearest integer?\nAnswer: 58518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3429563*m**3*p**2 - 28*m**3*p - 21*m**2 + 7*m*p - 2*m - p**3 + 6*p wrt p?\nAnswer: -6859126*m**3 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2149602484 - -0.8.\nAnswer: -2149602483.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 12:07 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 15*r - 225. Let w be t(15). Suppose 3*j - 30 = -3*o - w*j, 4*o - 28 = 2*j. What is the remainder when 54 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80 + -32 + -48)\/(-1 + 6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 5*r - 2*r)*(1 - 1 + 1)*(1 + 18 - 232).\nAnswer: -213*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - -1) + 2 - -1. Let v(b) = 3*b - 5*b**2 + x*b**2 + b**3 - 5 - 3*b**2. Is v(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(4\/31)*p))**(-15) assuming p is positive.\nAnswer: p**(60\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (195\/15)\/(2\/6). Suppose 252 = 32*q - z*q. Which is the third biggest value? (a) -5 (b) q (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 45) + (-49 - -90) + -42.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l**5 - 84*l**4 + 164*l**3 + 1440*l**2 + 704*l - 1536 = 0 for l.\nAnswer: -2, 4\/5, 8, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 8*b + 10*b + 24 = 0, 3*d + 2*b - 24 = 0. Let o(i) = 5676*i + 22. Let h be o(d). What is the remainder when h\/190 - 4\/38 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 6356\/(-2121))\/((-736)\/2208).\nAnswer: -1\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y + 76. Let w(d) = 23*d**2. Give w(h(c)).\nAnswer: 92*c**2 + 6992*c + 132848","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2107 - -2110. Solve 3*b + q*b + 6*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 475 + -467. Which is bigger: g or -12?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u - 21. What is the lowest common multiple of x(13) and 42?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51693052 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 + 56 + -24 - (8 + -3 + 2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8695548 by 6.\nAnswer: 1449258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 76*b**4 - 45 + 75*b**4 + 6 - 153*b**4 - 145*b with respect to b.\nAnswer: -8*b**3 - 145","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 divided by 10?\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 1:52 PM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 928219*t**2 - 60165322.\nAnswer: 1856438*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxexxxeeexee. What is prob of picking 3 e and 1 x?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*j + 4*j - 159, -328 = -4*j + 4*o. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14649 to the power of 1\/2, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.67500019 + -0.675. Round m to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5*a - 3 = -31, 3*w + 2*a - 14 = 0. Differentiate -s**2 + 50*s**4 - 46*s**4 + 3 + s**w wrt s.\nAnswer: 16*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 5*f - 30262, -93*f + 50416 = 5*r - 95*f. Is 11 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -600288702089.1 and -0.7.\nAnswer: -600288702089.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3680\/598 - ((-6)\/(-1))\/1.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: Suppose 5*o = 2*o - 3*q + 6, -o = -5*q + 16. Let f(n) = -5*n**3 - 6*n**2 + 6*n + 6. Let s(z) = 2 + z - 4 + 3 - z**3 - z**2. Determine o*f(u) + 6*s(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1273*z - 264 wrt z.\nAnswer: -1273","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*l**3 - 341*l**4 - 998*l**4 - 17*l**3 - 3*l**4 - 4*l**4 + 5*l**4 + (-l - 2*l + 5*l)*(-2*l**3 + 5*l**3 - l**3).\nAnswer: -1337*l**4 - 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 787*i - 70 = -2*t + 791*i, 360 = 15*t + 3*i for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 314 - 299. Suppose -438 = -20*c + w*c - 2*j, 355 = 4*c - 3*j. Is c a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*m. Let i(r) = r - 5 + m*r + 0*r. Let o = 11678 + -11685. Determine i(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9593026 nanograms to micrograms.\nAnswer: 0.0009593026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 84816051478 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -22ab65 (base 14) in base 3?\nAnswer: -2020001121220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 3. Let c be (-1323)\/(-14)*8\/q. Suppose -t + c = 3*t - 2*v, 0 = -3*t - v + 87. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + 7\/(-5))\/(4\/160). Let j be (-9)\/((-360)\/h) - 2\/(-5). Factor 0*s - 3\/7*s**4 + j*s**3 + 6\/7*s**2 - 3\/7.\nAnswer: -3*(s - 1)**2*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 15.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 26\/5 - (-2)\/(-10). Suppose 0 = d + 2*j + j - 61, s*j = -2*d + 127. Is d a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4911595 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, 1\/4, -7?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -40*p**2. Let r(v) = -10*v**2 + 22*v - 33. Let z(b) = 6*b**2 - 12*b + 18. Let a(y) = 6*r(y) + 11*z(y). Give s(a(c)).\nAnswer: -1440*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -u**5\/30 - 10943*u**2. Let w(r) = 3 - 34*r - 3. Calculate f(w(z)).\nAnswer: -2312*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 5*u + 3. Let n be p(5). Let y(l) = 2*l**2 - 7*l + 12. Let m be y(2). Suppose m = -n*c + 18. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*s + 40*s = -105. Suppose -5*c = 3*u - 3 - 4, 5*u - 5*c - 65 = 0. Solve u*m + 11 = -s for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i + 335. Let r be t(0). Suppose r = 10*f - 65. Suppose -4*u - 6 = -26. Solve 0 = -o - d + 6, u*o + 4*d = -12 + f for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -24*m**2 - 5710*m + 502. What is u(-238)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*g + 2*y, 0 = g - 2*y + y - 8. Let l be (30\/(-4))\/(g\/12). What is l rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/11)\/(j\/(j**(-2\/11)\/j)))\/(j**2\/j**(-1\/4)) assuming j is positive.\nAnswer: j**(-203\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 14 = -0*v - 2*n, 4*v = -3*n + 31. Let i be 7\/14 - 90\/v. Let a(k) = 10*k**2 - 11. Let m(l) = l**2 - 1. What is i*m(x) + 2*a(x)?\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/5 + 42\/(-10). Let d be 1*q\/(-16)*-1. Which is the second smallest value? (a) d (b) 4 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b - 2*b + 2*b. Let o(s) be the third derivative of -s**4\/24 - s**3\/3 - 4485*s**2 - 2. Calculate c(o(p)).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1316263140+20.6\nAnswer: 1316263160.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 3*k + 2. Let f be u(-2). Let o = -8.5 + 8. Which is the biggest value? (a) f (b) -2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**5)**(-16)*(i**(2\/13))**36 assuming i is positive.\nAnswer: i**(-968\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 3*n + 5*r, 2*n - 2*r - 10 = 4. Calculate the remainder when n is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13282 = -4*k - 3*p + 2216, -5*k - p = -19378. Is k a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 96 + 15 = 0. Calculate the least common multiple of 36 and a.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (7 + -17) - (8 + 0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 2340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -107*g**3 - 2*g**2 - 3*g + 3. Let p(h) = -107*h**3 - h**2 - 2*h + 2. Let n(z) = 2*d(z) - 3*p(z). What is the remainder when n(1) is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8014.48435 - -8014. What is n rounded to two decimal places?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -22934819 greater than or equal to -22934820?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -4*r + 45, -18 = 3*r + 4*p - 53. Let s be 4\/5*(r + 40). What is the highest common divisor of s and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6554, 13103, 19634, 26141, 32618, 39059?\n\"Answer: -r**3 - 3*r**2 + 6565*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 y when four letters picked without replacement from {m: 6, y: 3, d: 6}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(17) + 0 + sqrt(17) - sqrt(17)) + sqrt(34)\/sqrt(2)*3.\nAnswer: 3 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 493*q + 39. List the prime factors of n(2).\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15273149 to the nearest integer?\nAnswer: 3908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 0 + 0)*((-5 + 4 + 0)*(-54 - 63*g**2 + 54) - g**2 - 5*g**2 + g**2).\nAnswer: 58*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -g**9\/24 + 11*g**5\/60 + 4*g**2 + 10*g. Let w(r) be the first derivative of v(r). Find the third derivative of w(o) wrt o.\nAnswer: -2520*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -2, 2.2, 2, -15\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -608 + 618. Calculate the greatest common divisor of 530 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 13) to base 12\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-44)\/(-3)*(-3)\/(-2). Let p be s\/(-10) + (-4)\/(-20). Let r = 3\/20 - -87\/220. Is p != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, e: 3, j: 1, t: 6, v: 3}. What is prob of sequence bvt?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 6*y**2 + 6*y + 9. Suppose 142 + 117 = -79*i + 22. Give g(i).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2*m + 4)*(0 - 5 + 1)*(179 + 3*m + m - 174)*(0*m**2 - 3*m**2 + 5*m**2) to c*m + b*m**3 + q*m**4 + x*m**2 + l and give b.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46 - -37. Let t be (j\/6)\/((-5)\/10). Factor -1\/4*u**t + 3\/4*u**2 + 1\/4 - 3\/4*u.\nAnswer: -(u - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 35?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-20)\/12)\/((-3)\/18). Suppose -5*m + 14 + 56 = 0. Let q = p - m. Which is smaller: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.44 + 61.56. Is a greater than 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -213 - -183.9. Let q = 29 + i. Are 9 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (256*y - 133*y - 129*y)*(-2*y + 0*y + 3*y) as p*y + a + k*y**2 and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -3 + (11 - 7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 743*l - 3. Let p(r) = -1870135*r + 7550. Let s(m) = -3*p(m) - 7550*y(m). Let f(v) = -2*v. What is s(f(a))?\nAnswer: -1510*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31674 - -4275926\/135. What is the common denominator of -53\/45 and b?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40.3 + 43. Let j = 0.3 + i. Let v = 0.2 + -0.3. Is j smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4108 and 702?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -10*w**2. Let b(t) = t**2. What is -2*b(k) - f(k)?\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11372 + -11368. Solve b*c = -16, 4 - 23 = 5*m + c for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/79474 and 103\/18.\nAnswer: 715266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**5 + 3*w**5 - 3*w**5)*(0 + 1 - 4) + (8*w + 0*w - 4*w)*(-4*w**4 + w**4 + w**4).\nAnswer: -5*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/36225 and 97\/2792775?\nAnswer: 58648275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55 - 100 - 1)*(-13*f**2 + f**2 + 0*f**2).\nAnswer: 552*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4927 - (-1 + 3\/1). Suppose -11*b - g = -14484. Let o = b - 539. Does 33 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1948, -1973, -1998?\nAnswer: -2023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 5. Let b = -16 + 21. Calculate the remainder when 91 is divided by c(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*t - 441, 5*a - 322 = -3*t + 119. Suppose 4 = 4*b, -2*b + 32 = -1035*f + 1040*f. Calculate the remainder when t is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**5 - 646400*n**2 - 7*n - 790.\nAnswer: 20*n**3 - 1292800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-33) - (-420)\/308.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2007319692 divided by -2\nAnswer: -1003659846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w, 7*w + 44 = 4*o + 2*w. Suppose 32*c = o*c - 420000. Round c to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ksmwlflw. Give prob of sequence smk.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uee when three letters picked without replacement from eeeuueeueu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1725*x = 18568 - 13283 + 32665 for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0041902719 to 4 dps.\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 167.697 less than 24.40359?\nAnswer: -143.29341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 23*y**4\/6 - y**3\/3 - y**2\/2 - 3*y. Does 17 divide c(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 2*p + 3. Let s be m(3). What is the third derivative of 3*b**2 - b**s + 2*b**6 + b - b wrt b?\nAnswer: 120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*x, -i + 5*x - 19 = 13. Let s = -26 - i. Let n be (6\/(-8))\/((-4)\/s). Solve n*w = w + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 5 (b) -2087.6 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/4)\/(2\/748). Suppose -91 = -11*o + 96. Calculate the greatest common factor of p and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1415*v - 1227*v = 7520 for v.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -11*s**3 + 7*s**2 - 7*s - 7. Let h(q) = 10*q**3 - 6*q**2 + 6*q + 6. Let u(i) = -7*h(i) - 6*t(i). Find f such that u(f) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-10))\/l)**(2\/33)\/(l**(-27)\/(l**21*l)) assuming l is positive.\nAnswer: l**(1597\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.047 - -0.047. Let v = 0.2 + -1.2. Let g be 20\/(-21) + (-2)\/(-3). What is the closest to b in -4, v, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 1, -2\/7, -2, 1\/4 in decreasing order.\nAnswer: 1, 0.4, 1\/4, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2 + 2*r - 47. Let n(l) = 10*l**2 - 11*l + 235. What is -11*f(j) - 2*n(j)?\nAnswer: 2*j**2 + 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12136 and 620009.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16665 - 16665 + 11*u**3.\nAnswer: 11*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 73623\/1412 smaller than 51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 1.9. Let o be 3 + (96*2 - 0). Let i = o + -198. What is the closest to a in i, -2\/13, -4\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 - (4 + 30)\/(-2). Let y = 87 - q. Which is smaller: 64 or y?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73116 (base 13) to base 2.\nAnswer: 110010011101110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.2, 4, -717, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 8*y**2 - 2*y + 2. Suppose -l + h + 14 = l, 8 = 2*h. Suppose 15 = 3*a + l. Let s be j(a). Calculate the highest common factor of s and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10532 (base 7) to base 2.\nAnswer: 101001101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (13*-103 - 1) + -2. Let m = -522 - x. Round m to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9549.4 to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wxfllwwwlwxlwllwwl. Give prob of sequence xww.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 55.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 0*d + 3*d + 7 + d**2 - d**3 + 7 - 12*d**2. Let o be l(-11). Let k = 34 + o. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 695847.68 to the nearest one thousand.\nAnswer: 696000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**1*q))**(-2\/23))**(-16) assuming q is positive.\nAnswer: q**(-32\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 33078560 to the power of 1\/3, to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 199 - 183. Solve v*i - 14*i = 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 639 and 12709.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/2 + 26\/(-18). Let i = 0.095 + -18.395. Let y = i - -17.3. Which is the second biggest value? (a) t (b) y (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 - -17. What is the second biggest value in 0.06, i, 3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 e when two letters picked without replacement from {t: 2, u: 2, f: 1, e: 2, b: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 142*w - 68*w - 73*w)*(3*w**2 + 2*w - 2*w + (-w + 0*w - 3*w)*(7*w - 8*w + 7*w)).\nAnswer: -21*w**3 - 336*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134 + 67 + 36 + 31 + 4*g**3.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-5) + (-6)\/(-10). Let d be -1*y\/(-1) + -1. Which is the second biggest value? (a) d (b) -3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 - 36 = -4*c. Let n(z) = -z**2 + 32*z + 31. Is n(c) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/9)\/((-296)\/(-333))*24?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 71*u**2 - 57*u**2 - 1.\nAnswer: 14*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 11*o**2 - 5*o - 12. Let l be q(8). Suppose -5*i + l = -20. What is the least common multiple of i and 22?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of 0*c**4 + 1\/6*c**5 + 5\/6*c**3 - c + 0 + 9*c**2. Differentiate z(o) wrt o.\nAnswer: 20*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + k = -2*k + 54, 5*k = 2*t - 3. Suppose t*j - 1965 = 4*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -2. Let r be (-2 - -1) + (-35)\/(-30). Put r, n, 5 in increasing order.\nAnswer: n, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.07 (b) 1\/8 (c) -20 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -7*y + 9. Let s(i) = -i + 1. Let z(l) = -k(l) + 6*s(l). Let n be (-3078)\/(-133) + -27 - (-3)\/(-21). What is z(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3289 or 16443\/5?\nAnswer: 3289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(2016\/(-300)) + 6\/(-14). What is the nearest to 1 in -1\/2, p, -16?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of j**4 - 28*j**3 + 136*j**2 + 1535. Factor t(z).\nAnswer: 4*z*(z - 17)*(z - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.22, -0.07, -0.5?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 254898 and 349776?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8429.925ng in milligrams?\nAnswer: 0.008429925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -107833\/16090 - -3\/1609. Let v = -212368\/14637 + 3998\/357. Let y = v - -42\/41. Find the common denominator of s and y.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a tonne in kilograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31 - 4*l - 2*l - 64*l**5 - 2*l**5 + 5*l + 0*l wrt l.\nAnswer: -1320*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f*f**(-1\/18)*f*f**(8\/3)*(f\/(f**24\/f*f))**(-31) assuming f is positive.\nAnswer: f**(12935\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 24 = -b. What is the units digit of 2\/b + (-14)\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*(-13)\/((-117)\/(-36)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4866?\nAnswer: 2, 3, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13762 and 245?\nAnswer: 481670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-10))\/(21\/105)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47308785 + 0.\nAnswer: -47308785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = z - 5, -12*b = -4*z - 15*b + 13. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(1 + -4 - 2\/(-1)). Suppose 2*n + 4*t - 32 = -0*n, -5*t = -3*n + 103. Suppose n = c*w - 13. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37591?\nAnswer: 37591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29570241?\nAnswer: 3, 499, 19753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a century in months?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -84 in increasing order.\nAnswer: -84, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 0. Suppose 5*c + x - b*x + 2 = 0, -16 = -2*c + 5*x. Is ((-4)\/6)\/(c\/57) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44696*t + 44712*t - 192 = 0 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + q + 66, 3*u = q - 0*q + 200. Is u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -162*a**2 - 136*a**2 + 2 - 2 + 59767*a - 59772*a in the form f*a**2 + y + r*a and give f.\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 4:57 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.24, 2\/3, -1, -1\/5, -0.08?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.03, -1\/9, 1396, -2, -4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (238\/(-28) - -9)\/(5\/80)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83525 divided by 65?\nAnswer: 1285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + 18. Let k be y(6). Solve -k = -3*l - l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -153 + 5. List the prime factors of s.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 9*v - 45. Let s be d(6). Suppose 5*j = u - 24, 4*u = -u + 4*j + 57. What is the greatest common divisor of u and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -226693*d. Let g(f) = f. Determine h(g(j)).\nAnswer: -226693*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15673252 divided by 28?\nAnswer: 559759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -4\/3*r**3 + 1\/20*r**5 + 10*r - 5\/2*r**2 + 1\/2*r**4 + 1. Let v(w) = w**2 - w - 1. Determine 6*v(j) - x(j).\nAnswer: -j**3 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 6*u**2 + 7*u + 6*u**3 + 2*u**2 - 5*u**3. Let x be s(-7). Suppose a - 16 = -2*l, 5*a + x*a - 4*l = 38. Solve -3*j + a = -5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -297, -36, 14, -24, -5 in descending order.\nAnswer: 14, -5, -24, -36, -297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 1465642*h**2 + 21.\nAnswer: -1465642*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 10:09 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*m*s**2 - 169816*m + 353*s**2 - 359*s wrt m?\nAnswer: 5*s**2 - 169816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475664 is divided by 251?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 5, 5*m + 12 + 26 = 2*n. Let l(t) = -10 + 6*t + 2*t**2 - t**2 + 5 - 7. Let b be l(m). Solve 2*p = b*k + 16, -4*k - 22 = -6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -13*k + 119. Let z be n(9). Which is the closest to 2\/7? (a) 2\/19 (b) -0.2 (c) z (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-14) - (26\/(-7) - (-43 + 39)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*d + 238*d + 4248 = 9623 for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -1. Let p(n) = -3*n + 46. Let d(b) = p(b) - 4*z(b). Let i be d(16). Suppose 91 = i*w - 37. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6269017 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: Convert 100000 (base 2) to base 3.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -1\/6*h**3 - 2*h**2 + 1\/8*h**4 + 0*h + 1\/60*h**5 + 0. Determine v(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l + 61. What is y(-34)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -8*r + 4. Let m(n) = 1. Let o(l) = -3*m(l) + x(l). Determine o(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b - 12. Let i = -59 - -65. Calculate the remainder when s(i) is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -298 (base 15) to base 9.\nAnswer: -728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2937 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 0, -4*h - 57 = 2*n - 17. Let c be (-8)\/(-20) + (-26)\/h. Suppose c*q - 10 = 5. Solve 0 = -5*o + q, 5*x - 2*x + 1 = -2*o for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 0, -5, 3 in increasing order.\nAnswer: -5, 0, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 154*u**3 + 35*u**2 + 35*u. Let g(q) = -9*q**3 - 2*q**2 - 2*q. Suppose 26 = -8*y + 42. Determine y*i(r) + 35*g(r).\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1210132 - -14?\nAnswer: -1210113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = x + 156 - 694, 0 = -5*z + 3*x + 906. What is the greatest common divisor of 375 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 121, 179, 235, 289?\nAnswer: 341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (0 + 9 + -11) - -4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175 - 15 = 32*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37\/666)\/((-174)\/(-2349)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3467.937 months to decades.\nAnswer: 28.899475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7496173537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -557*d**9\/252 - 113*d**5\/5 - d**3\/3 + 61*d**2. Find the third derivative of o(a) wrt a.\nAnswer: -133680*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*a**2 + 13 - 13)*(-287*a + 15445 - 15445)*(0*a - 2*a + 3*a).\nAnswer: -2009*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 2:37 PM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-10)*(6757\/58 + -115)\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -2729*f**3\/6 - 1091*f**2\/2 - 1604*f. What is the first derivative of l(q) wrt q?\nAnswer: -2729","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*q = 3492 - 1076 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -618 = -4*o + a, 2*o + 4*a + 22 = 340. Let h = -93 - -263. Suppose 5*g = h + o. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q\/q**(-2)*q)*q**4)\/((q\/(q\/(q*q**(-6\/7))*q))\/q*q\/(q\/(q*q**(1\/4)*q))))**(-50) assuming q is positive.\nAnswer: q**(275\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f**3 - 6*f + 12. Suppose -25 = -5*g - h, 5*g - 3*h = -h + 25. What is the tens digit of i(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 4*s + 4*u + 80, -u + 106 = -5*s. Let f be 94\/(-68) - s\/14. Which is the closest to 2\/7? (a) f (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*u + 7 = -3*n, -5 = -5*u. Suppose -3*w + 87 = 4*x, -2*w + 32 + 25 = n*x. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -4, -2, 1, 10, 670 in descending order.\nAnswer: 670, 10, 1, -2, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 22446\/14 + (-12)\/42. Suppose 0 = 8*h - 157 - g. Suppose -4*b = -6984 + h. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 6. Let x(a) be the first derivative of a**2 - 3*a + 2. What is the units digit of x(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -10*y + 20. Suppose 0 = -0*l + y*l - 8. Suppose 0 = -2*z - 4*a + 110, -20 = l*a - 6*a. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 58*r - 105. Let g be a(-57). Let h be 2\/((2\/(-43))\/2). Let v = g - h. What are the prime factors of v?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1202 - -1?\nAnswer: 1203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 f, 1 q, and 1 h when four letters picked without replacement from sfddhssdsfqdsqfsdq.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/((m*m*m**(2\/5))\/m))**(-2\/81)\/(m\/(m*m**(-2))*m)**(8\/7))**(3\/17))**27 assuming m is positive.\nAnswer: m**(-9692\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-4 - (21 + -19))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 - -33. Let i be (-8)\/((-8)\/3*y\/(-60)). Suppose -2*j + i = 4. Is j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -7. Let d be (1 - (-20)\/(-26))*-5. Let w = -118\/91 - d. Sort w, t, 3\/5 in descending order.\nAnswer: 3\/5, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*k + 21 + 31. Put -4, k, 15 in ascending order.\nAnswer: -4, k, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of s**8\/1680 + s**5\/40 - s**3\/3 + 3*s. Let j(q) be the second derivative of w(q). Find the second derivative of j(d) wrt d.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-126)\/13860*55)\/(70\/(-12)*-1)?\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 616*n - 2 - 6 - n**2 - 7.\nAnswer: -n**2 + 616*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 14115 (base 8) to base 16\nAnswer: 184d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1 (b) 2198 (c) 1\/2 (d) -4 (e) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33191 + 33192. Suppose -u + 19 = 3*x, -4*u = u - 5*x + 5. Let i = u + 1. Solve -3*y = i + o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32.6*-374.87.\nAnswer: 12220.762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*(2 + (-21)\/12). Let g(f) = 16*f**3 + f. Let b be g(w). Calculate the greatest common factor of b and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 1\/45*i**5 + 0*i**3 + 0 + 1\/180*i**6 + 0*i + i**2 + 1\/36*i**4. Find h, given that v(h) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 11:44 PM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 14697 = 901. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71ba33 (base 13) to base 5.\nAnswer: 1134403021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(16\/20)*8. Solve 4*v + v + o = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 1:30 PM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 6*g + 70 = 0. Which is greater: -15 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105\/15*(-4)\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/((-360)\/132)*(-369)\/28413?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01 and 4240026?\nAnswer: -42400.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/1 + 9 + -9. Let p be 4 - (1 + (0 - 1)). Find b such that 13*b**3 + 11*b**4 - 5*b**p + 4*b + 0*b**g + b**5 + 12*b**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -94 in 4, 1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/80 and 5\/8392?\nAnswer: 83920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -88\/7, 166, -35\/9?\nAnswer: 166","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15*22\/715)\/(3\/(-26)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -842343*f**2*z**3 - 41*f**2*z - 45996*f*z - 2*z**3 wrt z?\nAnswer: -5054058*f**2*z - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 - 4*p**2 + 32*p + 48.\nAnswer: -4*(p - 3)*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*d + 3*d + 6*d + 3*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2522 + 2522 + 317*k.\nAnswer: 317*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -31340, -30976, -30614, -30254, -29896, -29540?\n\"Answer: -u**2 + 367*u - 31706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 1260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 77188 to the power of 1\/2, to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31 - 71) + 16 + 9?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t**3 + t**2 + 10*t + 9. Let j be w(-1). Sort -5, j, 13.\nAnswer: -5, j, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or 1115490\/13?\nAnswer: 1115490\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 445*g + 16768500 = 410*g. What is g rounded to the nearest ten thousand?\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/55 + (((-1344)\/(-30))\/7 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.22 + -0.1. Let g = i + 5.88. Let c = g + -10. Put -2, c, 4 in decreasing order.\nAnswer: 4, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + c - 582. Give y(-25).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 3, 1, -4316, -0.2, -5, -2, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/34 + 5250\/(-1275). Let o = 2 + -8. Which is bigger: o or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**2\/8 + 12131*a\/8 + 6065\/4 = 0.\nAnswer: -12130, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k - 1. Let a(n) = 1. Determine -3*a(s) + j(s).\nAnswer: -2*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 + 22. Let d be (12\/r - -4) + 0\/(-4). Solve -x = -d*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 265 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -180 + 183. Let d = -4 - -3.5. Let k = d - -2.5. What is the third smallest value in -0.2, k, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9750 and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 21720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5120792 divided by -1280198\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 4*h - 5*l + 17, -2*l + 12 = -2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 10) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 2*x. Suppose -7*c + 219 = -3*c - 3*q, c - 5*q - 42 = x. Suppose r - 5*y = 50, -r = -0*r + 2*y - c. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -170, -236, -280, -296, -278, -220, -116?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 10:01 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*x = 30. Let l = x - 5. Let p = -1448\/63 + 164\/7. What is the second smallest value in l, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -155, -158, -161, -164, -167, -170?\n\"Answer: -3*b - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-3))\/(2\/(-18)). Let a(y) = y**3 + 2*y**2 - 4*y - 1. Let b be a(z). Suppose 9 = b*j - 5*j. Which is bigger: j or -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 370000 to the nearest 10000.\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 248647832 to the power of 1\/2, to the nearest integer?\nAnswer: 15769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -271, -273, -275, -277, -279?\nAnswer: -281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2164 (b) 1\/2 (c) -2\/3 (d) -121 (e) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 - 5\/((-15)\/(-6)). Let h(u) = -u**3 - 6*u**2 + 6*u - 5. Let r be h(g). Suppose -l - r*l + 36 = 0. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 172*h + 16. Let f be d(4). What is the greatest common factor of f and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-32)\/3*(-54)\/4. Calculate the highest common factor of t and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 170*x**2 - 19*x**2 - 83*x**2 - 2*x**5 + (3*x**3 - 2*x**3 - 3*x**3)*(-2*x**2 + 3*x**2 - 3*x**2) + 0*x**3 + 2*x**5 + 0*x**3.\nAnswer: 4*x**5 + 68*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.32427, -2\/217, -0.041, -2?\nAnswer: -0.32427","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-220))\/(4*(-100)\/440)\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8 - 17*j + 21*j + 2 + 3*j**5 - 10*j**3 - j**5 wrt j.\nAnswer: 40*j**3 - 60*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.2 + -6.1412. Let t = w - -27.9412. What is the smallest value in 3, -1\/3, t, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 675 + -675. Solve u*x + 2 = -5*h - 4*x, -3*h - 5*x = -4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -79582793 to the nearest 1000000.\nAnswer: -80000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9086, -9654, -10220, -10784?\nAnswer: -11346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z - 702 - 569 + 2403 - 561 - 571.\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3146 by 3146.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -466 - -465.9. Which is the closest to i? (a) 3\/4 (b) 0 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*x - 637 = -4333 for x.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = n - 10. Suppose 5*m + t - 20 = 0, 4*m + 5*t - 10 - 6 = 0. Let h be (3\/(-1))\/(3\/m). Put n, h, -3 in descending order.\nAnswer: n, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37010851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 74426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 1 = -3*q + 5*f, -q + 22 = 4*f. Suppose -a + 16 = q. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 4*d**2 + d - 1. Let c be s(4). Let g(u) = 6*u + 35. Let j be g(-4). Differentiate j - 12*i**c - 43 - 8 - 26*i**3 with respect to i.\nAnswer: -114*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(3 + -2 - 3). Suppose 3*y + r*y + 2*b - 52 = 0, y - 5*b = 6. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/((-270)\/130)*-11*24\/(-440)?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c + 10. Let w = -4 + 9. Let g be p(w). Calculate the greatest common factor of g and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1583907 is divided by 217.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376911 is divided by 40?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-78*k + 78*k - 91*k)*(3*k + k - 2*k) - 2*k**2 + 3*k - 3*k to f + t*k + z*k**2 and give z.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 42 + 69 = 0. Suppose 5*o - p = -112. Is -17 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1606*j**3 + 1072*j**2 + j + 62689915 wrt j.\nAnswer: -4818*j**2 + 2144*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -2\/5, 1\/4, 41 in descending order.\nAnswer: 41, 1\/4, 0.2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (162\/(-15066))\/(1\/(-9)).\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 407 - 391 = 0 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 292\/11 + -1867\/55. What is the common denominator of n and 25\/47?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4204764 divided by -350397?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 3:38 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*d = 50, 5*l - 2*d + 62 - 123 = 0. Suppose 0 = -l*h + 15*h, -h = 3*b - 405. Calculate the smallest common multiple of 120 and b.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 94428 and 338916?\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 746, 2\/5, -1\/10, -1\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 5. Suppose 4*n = -2*f + 8, n = s*n + f. What is the units digit of (-21)\/(-15) - n\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-63 + 5)\/((-1)\/(-19)). Let v be (-12)\/18 + g\/3 + 1. Let z = 998 + v. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 8:34 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2334, -4681, -7012, -9321, -11602, -13849?\n\"Answer: x**3 + 2*x**2 - 2360*x + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -648 + 647.7. Suppose 7 = 1269*b - 1276*b. What is the second biggest value in a, -2, -2\/7, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r - 41. Let f(l) = -l - 20. Suppose -4*c - 3*n + 12 = -11, 4*c - 5*n + 17 = 0. What is c*o(m) - 5*f(m)?\nAnswer: -m + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n**3 - n**2 - 3*n - 4. Suppose 0 = -i + 2*u - 10 + 7, -i = -5*u + 3. Give j(i).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 - 13*i - 140.\nAnswer: (i - 20)*(i + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 2168.385195 to one decimal place.\nAnswer: 2168.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-130)\/(-3))\/(74\/222) is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 339 divide 184588556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*a**2 + 3 - 95*a**2 + 36*a**2 + 32*a**2 - 7.\nAnswer: 2*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2. Let z(m) = 340*m**2. What is z(t(g))?\nAnswer: 340*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = p - 0*p. Suppose -p = -3*y - 5*s, 3*s = 4*y - 4 - 22. Suppose 235 = -y*m + 10*m. What are the prime factors of m?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16273*m**2 - 236*m.\nAnswer: -32546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*a + 24*a - 58*a - 60 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84, -19, 164, 525, 1124, 2021, 3276?\nAnswer: 4949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 10) in base 12?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 113089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (340\/(-8))\/17*(-4)\/(-5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 9.34.\nAnswer: 1.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 155*t**2 + 366*t**2 + 15 + 314*t**2.\nAnswer: 525*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 3, -372.\nAnswer: -372, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -54*d**2 + 446*d + 935. Calculate v(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 280413 to the nearest integer?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 8 = -5*k + 27, -19 = -2*n - 19*k + 20 + 17 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = 102*c - 77*c + 22 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i**2 - 2*i + 2. Let k(h) = -7*h**2 - 5*h + 4. Let g(x) = -4*k(x) + 10*u(x). Find the first derivative of g(l) wrt l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19658 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 (base 13) in base 9?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*g + 298409, 13*q = 3*g + 15*q - 298411. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89092300 rounded to the nearest one million?\nAnswer: -89000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/((-140)\/118)*-38. Let w = h - -161. Factor -30\/7*s + w*s**2 + 24\/7.\nAnswer: 6*(s - 4)*(s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41393066 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 6) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-10)*(-4)\/16*(8\/(-1))\/8.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 131 - -289. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -73*a**2. Let u(x) be the first derivative of x**5\/60 + 23*x**3 - x**2\/2 + 16. Let y(w) be the third derivative of u(w). Determine y(v(j)).\nAnswer: -146*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6 = 3*i, -b + 3 = -0. Let p = 4 - 0.3. Let y = 1.3 + p. What is the closest to -1 in y, i, 0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1627471 is divided by 813.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of s**5\/60 - 17*s**4\/24 - 7*s**3\/6 + 16*s**2. Let y be a(16). Let j = 24 - y. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -59*h**3 + 20*h**3 - 36*h**3 + 210*h**4 - 204*h**4 + (-h - 4 + 4)*(-3*h**3 + 4*h**3 + 0*h**3) + 2*h**2 + 2*h**4 - 2*h**2 + 5*h**4 + 0*h**4 - 3*h**4.\nAnswer: 9*h**4 - 75*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 + 2*a**2 + 0*a**2)*(-21 + 21 + a) + (-38 + 10*a + 38)*(-6*a**2 - 13*a**2 - 7*a**2).\nAnswer: -261*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = h + 3. Let t = 7 + h. What is the second derivative of 4*z - z**2 - t*z - z wrt z?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -10*s**3 + 2*s**2 + s - 2. Let h(k) = -11*k**3 + 2*k**2 + k - 3. What is 4*h(z) - 5*j(z)?\nAnswer: 6*z**3 - 2*z**2 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1*(-4 + (1 + ((1 + sqrt(2057))*-6 - sqrt(2057)) + sqrt(2057))**2)*5.\nAnswer: -370366 - 3300*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**2\/5 - 219477*u\/5 + 1536486\/5 = 0. Calculate u.\nAnswer: -73166, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 10*k + 13. Let l be d(11). Suppose 0 = 4*v + l*h - 52, -2*h - 10 + 36 = 2*v. Solve g - 3*j = -g + v, 0 = g + 4*j + 21 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -36*u. Let b(t) = -2*t. Give 22*b(m) + 2*z(m).\nAnswer: -116*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 570, 612, 656, 702, 750, 800, 852?\nAnswer: 906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -4*z + 16, 2*l - 70 = -3*l + 5*z. Suppose l*g = 4*g + 3*y + 524, -5*g = 4*y - 503. Is 15 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (30 + (-33 - -13))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198) - ((2*sqrt(198) - sqrt(198) - sqrt(198))*-3 - sqrt(198)) - 6*(sqrt(198)*1 - sqrt(198)))\/(sqrt(77)\/(-1*sqrt(7)*2)*-3))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29880 and 67237968?\nAnswer: 1008569520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 10 = 3*v, -8*v + 4*v + 10 = l. What is the closest to 2\/17 in l, 1, -26\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6a844 - 167?\nAnswer: 6a6bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - -2. Is 21 a factor of (1 + 4\/k)*36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 13*b + 40. What is w(-21)?\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e, 1 g, and 1 n when four letters picked without replacement from ngnenen.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kr when two letters picked without replacement from {r: 1, n: 1, g: 1, y: 2, a: 1, k: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 108 - 186 - 23*r + 24*r in the form i*r + n and give n.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 135301 * 0.05.\nAnswer: 6765.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a. Let h(c) = 319*c + 312887. Determine b(h(k)).\nAnswer: 638*k + 625774","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h - q + 63 = -85 - 39, -56*q - 499 = -5*h - 59 for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8325 and 2368000.\nAnswer: 21312000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*f - f**3 - 3*f**4 - 52*f - f**4 + 112*f to the form w + t*f**4 + x*f + r*f**3 + d*f**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 332*v - 6302. What is the remainder when 377 is divided by m(19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*t - 150*t + 287 - 807 - 558 = 0 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -162 + 177 + 2*a - 3*a + 2*a. What is h(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 21*v**2 - 127*v - 17. Give s(13).\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -388b1 (base 15) in base 12?\nAnswer: -887a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 73455 and 1593.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 2 - ((22 - 9) + -9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-8 - -3)*486\/(-15) - 1 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 - -32. Which is the nearest to 3\/13? (a) h (b) 4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.96 - 2.96. Let r = -2 - -2. Let l = -0.2 - r. What is the closest to c in -4, 3, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6126 and 3?\nAnswer: 18378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 8*v. Suppose v = -5*u + 3*z + 19, -2*z = 4*u - 3*z - 11. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 16121, 32248, 48375, 64502, 80629?\n\"Answer: 16127*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d**4 + 728*d**3 + 8368*d**2 + 32032*d + 11520 = 0. What is d?\nAnswer: -18, -10, -8, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-1099)\/84 - -13)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4583, 4575, 4591, 4643, 4743?\nAnswer: 4903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z + 6. Let k be x(1). Let i = 1350 + -1346. Solve i*v = l - 1 + 2, 5*l - k*v = 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-12)*(-60)\/70)\/(7\/(35\/(-60))).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -72*n + 299. Give f(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 (base 9) in base 15?\nAnswer: d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -17479078\/97 equal to -180198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90 (base 16) to base 3.\nAnswer: 12100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*f**2 + 7*f**2 + 4 - 2*f**3 + f**3 as r*f + b + x*f**3 + m*f**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - m**2 + 2*m + 6. Let j be k(5). What is the highest common divisor of 29 and j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/15? (a) 0.5 (b) 6 (c) 12 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -398*y**2 - 68*y.\nAnswer: -796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(-284)\/(-6)*1. Let j = g - -209. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q - 2. Let j be w(-3). Solve -4*v - 5*f - 36 = 0, -v + j*f + 12 = 6*f for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.8 - 1.2. Let i = 0.1 - d. Let g = -0.1 - 0. What is the closest to g in i, -1\/2, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 579731.\nAnswer: 31, 18701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5*l = -41493, -2*m + 4*l - 3*l = -20729. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b*b**(8\/15)*b*b)\/b*b**(-3\/23) assuming b is positive.\nAnswer: b**(1519\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 198427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 7*p + 5. Let c(m) = -m**2 + 12*m - 14. Let a(q) = -q**2 + 25*q - 27. Let k(h) = -3*a(h) + 5*c(h). Give -6*k(w) + 13*v(w).\nAnswer: -w**2 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a gram in micrograms?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4237 + 4245.012. Let l = k - 0.012. Which is the third smallest value? (a) 2\/3 (b) l (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(99)*5)**2.\nAnswer: 22275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 22*w**2 + 12*w - 34. Let v be t(6). Let k = -849 + v. Is -3 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1547 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*l**3 - 2*l - 11*l**3 + 3*l**3 - l**2 in the form g*l**2 + a*l**3 + m + q*l and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 19*w**2 + 7. Let d(g) = 36844*g. What is l(d(i))?\nAnswer: 25792126384*i**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 746891 is divided by 3491.\nAnswer: 3308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 14*d - 15. Let c be q(-14). Let o = 15 + c. Factor 2\/7*t**3 + 0 + 0*t**2 + o*t.\nAnswer: 2*t**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 111*y**5 - 81*y**5 + 441*y**5 + (-3*y**4 + y**4 + 0*y**4)*(18 + y - 18).\nAnswer: 469*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/10540 and -87\/112?\nAnswer: 295120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4791299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -1. Let c(f) = -2*f - 3. Let u(k) = -2*c(k) + 6*y(k). Let p be u(1). Find the common denominator of -46\/3 and p\/3 - (-2074)\/357.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 5*b = 17, -b - 15 = 5*h - 2*b for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 926092008?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1026150 and 200.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*x - 114 = -28*x. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-5)*(-45)\/6. What is the smallest value in 2\/7, d, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b + 8*b**3 - 10*b**3 - 3*b**3 + 2 + 6*b**4 + 6*b**3 + 0*b**4 - 3*b**2 to n*b**4 + w*b**3 + s*b + a + y*b**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 129\/2 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*m + 1 + 7 = 24*m + 2*f, -m - 29*f + 13*f = -30 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 <= 36\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 164278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 + 60. Let o = 16 - k. Let d be 2\/4 + (-1 - 1740006\/o). Round d to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 290 divided by -66004.\nAnswer: -5\/1138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -10*d. Suppose 13*t - 16*t = -234. Let h(u) = -78*u + t*u + 4*u**2. Calculate h(o(f)).\nAnswer: 400*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -19. What is the biggest value in n, 1\/11, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a minute in milliseconds?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 24344, 24367, 24390?\n\"Answer: 23*b + 24321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(2\/3*(-9 + 12)). What is the fourth biggest value in g, -4, 2\/5, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 144103 - 10?\nAnswer: 144043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100000111111110 (base 2) to base 15.\nAnswer: -eaac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78005.\nAnswer: 5, 15601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9643, -11560, -13477, -15394, -17311?\nAnswer: -19228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29294*q**3 + 75640*q?\nAnswer: 175764*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(80\/(-36)) - -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1447434 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.15593 - 1372.04407. Round w to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-6) + 5\/15. Is (1 + m + 0)\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**8\/10080 - 4*w**5\/15 + 37*w**2. Let r(y) be the third derivative of q(y). Let b(s) = -8*s. Determine r(b(i)).\nAnswer: 128*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -63*t - 135. Let n(i) = -250*i - 540. Let r(u) = -2*n(u) + 9*o(u). Is r(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 15, e: 5}. Give prob of picking 1 e and 2 u.\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -2 - (-17 - (61 - 1)).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 22 - 3 = 5*u, 5*l + 15 = 5*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4452.706 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -32*w**2. Let z(p) be the first derivative of p**2 + 74. What is z(b(x))?\nAnswer: -64*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42332, 42331, 42330, 42329, 42328, 42327?\nAnswer: 42326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-20)*-3 + (-3 - -2). Which is smaller: -0.07 or w?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*9*128\/576.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 104817973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -2.5. Let v = 4.04 - 0.04. Suppose 0 = -4*r - 7 + 3. What is the nearest to r in c, v, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 659 is divided by 145.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -13*h. Let v(t) = 7*t - 6*t + 2*t - t. Calculate v(f(u)).\nAnswer: -26*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/5 of a tonne in kilograms?\nAnswer: 3800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.26 - -1.64. Let p = 2 - t. Is p greater than -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(1\/(-4)))\/((-34)\/612*9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7289 - -7283. Let t = 3.35 - -0.65. Suppose -3*z + z = 4. Sort t, z, c.\nAnswer: c, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 7*d**3 - 2*d**2 + 4*d. Let y(m) = -33*m**3 + 9*m**2 - 19*m + 1. Let c(s) = -14*i(s) - 3*y(s). Let g = 1 - 1. Determine c(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17643 = -56*q + 54211. Solve -4*l - 629 + q = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 978 = 3*i + 945 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-41925)\/28470 + 2\/(-73)*1\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 4*r**2 - r - 7. Calculate f(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -50*x**3 + 5*x**2 - 5. Let n(f) = -f**2 + f - 2. Let r(k) = 3*n(k) + s(k). What is the second derivative of r(u) wrt u?\nAnswer: -300*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.717551 kilograms in milligrams?\nAnswer: 1717551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/20 and 29\/8632.\nAnswer: 43160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((2*sqrt(7344))\/((sqrt(63)\/sqrt(3))\/sqrt(7)) + (sqrt(1088) - (sqrt(1088) + sqrt(1088)*-1)**2) + (sqrt(170)*-1)\/sqrt(10)).\nAnswer: -31*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 117, 0.5, 0.4, -4, 1, -5, 7 in descending order.\nAnswer: 117, 7, 1, 0.5, 0.4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 4:04 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 1961*m**2 - 1360*m + 117\/2*m**5 + 972*m**4 + 8597\/2*m**3 + 64 = 0.\nAnswer: -8, -1, 2\/39, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3466*w + 7533. Let p(m) = -3465*m - 7439. Let z(i) = -6*a(i) - 5*p(i). What is the first derivative of z(o) wrt o?\nAnswer: -3471","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -209 divided by 19\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 20*q**2 - 427*q + 13. What is p(-13)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(5\/6)\/(o*o**(-1\/3)\/o))\/((o\/(o**(-1\/5)\/o))\/(o*o*o**(8\/7))) assuming o is positive.\nAnswer: o**(443\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/7)\/((-3700)\/(-31080)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/7*3\/(-18). What is the third biggest value in -2, 3\/5, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + -1)\/(4\/8). Let t be (r + 1 + -1*2503)*120. What is t rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oop when three letters picked without replacement from opjojjgopo?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*k + 4*k. Suppose 2*s - 2*h = 2*h + 4, 4*s - 4*h = k. Solve s = 2*z - 4 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 5*w**3\/3 - w**2\/2 + 3*w + 9. Let b be h(1). Let q = 15 + b. What are the prime factors of q?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 116 + -231. Which is smaller: b or -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of z**5\/60 + 5*z**4\/24 + z**3 + z**2\/2 - 2*z. Let t(l) be the first derivative of u(l). Calculate t(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11112.\nAnswer: 2, 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64)\/80 + (-63)\/(-60).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -15*j**2. Let h(p) = 1705*p. Give t(h(g)).\nAnswer: -43605375*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((47 + -1)*1)\/(6\/39). Suppose m*k - 300 = 294*k. Calculate the highest common divisor of 240 and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*h**3 + 10*h**3 + 111726312*h**2 + 22*h**3 - 111726312*h**2.\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -763 divided by 154?\nAnswer: -109\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 47\/423 + 538*(17\/(-204))\/(3\/(-2))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 12 = 5*d - 2, 0 = 2*d + 8. Let t = s - -47. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 525\/(-14)*2*2\/(-6). Suppose -m + 0*m + u = 0. What is the tens digit of (-32 + m)\/(1\/(-9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106348.\nAnswer: 2, 11, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 + -7 + 5 - -7 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -2*h**2 + 0*h**4 + 0*h - 1\/60*h**5 + 1\/6*h**3 + 0. Factor o(w).\nAnswer: -(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 11*d**2 + 2*d + 3. Let x(u) = 9*u**2 + 2*u + 3. Give 4*f(b) - 3*x(b).\nAnswer: 17*b**2 + 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 924 and 3361386?\nAnswer: 73950492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * -6969.\nAnswer: 139.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 12 = 18. Let l(g) be the third derivative of g**5\/60 - 7*g**4\/24 + g**3 - g**2. Let x be l(6). Solve x = 5*o + y + 10 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 11001 + 9099. Round p to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**5 + i**5 - i**5 + (1 - 2*i**2 - 1)*(-2*i**3 - 2*i**3 + 5*i**3) + 1522*i**4 - 198*i**5 - 1522*i**4.\nAnswer: -199*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) - (sqrt(1377)*-1 - sqrt(1377))*4)**2 - (4*(2 + sqrt(1377)))**2 - -2*4*(sqrt(1377) + ((sqrt(1377) + 1)**2 - sqrt(1377))).\nAnswer: -432*sqrt(17) + 100465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 7*v = 3*v + 16, 2*v - 18 = 4*h. Let r be (16\/5)\/((-1)\/h). Let i(m) = -10*m + 68. Let z be i(6). What is the highest common factor of z and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 293 and 53033?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 85124*j**3*q**2*x - j**3*q*x - j**3*q - 2*j**3 - 559*j**2*q**2 + 22*j*q**2 with respect to x.\nAnswer: 85124*j**3*q**2 - j**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -15. Let d = 5538 + -49843\/9. Let l(w) = 5*w**3 - w**2 + 1. Let b be l(1). What is the closest to 2\/3 in d, b, c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 - -36. What is the closest to -0.17 in -1\/6, j, 5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8914200 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -11351141?\nAnswer: 11351144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4004466?\nAnswer: 2, 3, 89, 7499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 5*r = 8, 5*r + 255 = 5*y. What is the least common multiple of 42 and y?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8373 is divided by 118.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -6*((sqrt(605) + sqrt(605) + (sqrt(605) + sqrt(605) + 0 + -2)**2 + ((-5 + sqrt(605) + 1)**2 - sqrt(605)))*-6 + 2).\nAnswer: -5940*sqrt(5) + 109606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((342\/40)\/((-1022)\/(-56) - 18))\/((-147)\/490)?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -140367902 by 2.\nAnswer: -70183951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -5. Suppose -4*c - 5*f - 15 = u, -2*c + f - 3*f = 8. What is the units digit of (-6)\/(-8) + c\/(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -5*d + a, -4*d - 3*a + 2 - 33 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.7257525 and 60.81?\nAnswer: 62.5357525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p\/p**(-1\/2)))**(-10\/9)\/(p*p**0)**(-31)*((p*p\/p**0)**7)**(-12) assuming p is positive.\nAnswer: p**(-406\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*4\/8*(-14)\/(-21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3686 + -3686. What is the closest to -33 in -1\/6, r, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, g: 2}. What is prob of picking 1 g and 3 n?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -15. Let w be 11 + 4\/r*-3. Let q = 5 + w. What is the least common multiple of q and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -25*b**4\/16 + b**2\/2 + 5. Let c(f) = 0. What is f?\nAnswer: -2\/5, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 7*y + 6. Suppose 0 = -3*i + 4*w - 4, -2*i + 10*w = 5*w + 5. Let b = i - -3. Suppose -4*z - 35 = b*n, -4*z + 4 - 9 = -3*n. Calculate h(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 110, 201, 292?\n\"Answer: 91*m + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -5*u + 5*h, 0*u - 17 = 2*u + h. Let s be (-3)\/u + (-6)\/(-9). Which is greater: s or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-6)\/(c*c\/(c\/c**(-1\/18)))*(c*c**(-5\/3))**(-15) assuming c is positive.\nAnswer: c**(55\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 4*g - 30 = 0. Calculate the smallest common multiple of g and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 551.\nAnswer: 1\/551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -6*z - 7. Let q be r(-4). Let d(o) = q - 31 + 14 + 2*o. Let i(c) = -8*c + 5*c + c. Calculate d(i(x)).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1976957 is divided by 247116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 585 - 229. Suppose 0 = -w*d + 352*d + 1988. Is d a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 450 and 250?\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -8*x**2 - 13150*x - 1115770. What is o(-1554)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156*f + 4 + 179*f - 5 + 1.\nAnswer: 23*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 2*j - 15. What is t(-3)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30158 = 2946*k + 28762 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 444?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y + 16. Let s be w(7). Find d, given that -16\/3 - 20*d**s + 6*d**3 + 56\/3*d = 0.\nAnswer: 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/(-3))\/((-2)\/6). Suppose -4*h - 12 = 4*c, -s*h = c + 28 - 9. Let m = 31244 - 499903\/16. Is c < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(6)\/sqrt(2) - sqrt(3))*4*-1 - (1 + -2 + sqrt(24)\/sqrt(8))) + 5)**2.\nAnswer: -28*sqrt(3) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*x - 43*x = -68. Solve -6 = 3*i, -i = q - x*q + 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = n - p + 5*p, -11 = -3*n + 5*p. Suppose -n*y + y - 4 = 0. Let s = -0.26 + -0.04. Which is the third biggest value? (a) s (b) 0.4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-25)\/(-10)*260\/(-25). Which is bigger: -25 or d?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11930 and 2386?\nAnswer: 11930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -22 + 8. Factor -8*z**d - 20*z - 2*z**2 + 38*z**2 - 8 + 0.\nAnswer: 4*(z - 1)*(7*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2695233.\nAnswer: 3, 31, 73, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 138.000021 + -138. What is x rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = s, 3*s - 4*x + 25 = -5*x. Let t(p) = -7*p - 39. Give t(s).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 1072.\nAnswer: 7504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.7 + 44500.\nAnswer: 44497.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 498559 times -5\nAnswer: -2492795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*w = 374 - 94 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 9*v**4 - 24*v**3 + 29*v**2. Let z(s) = 5*s**4 - 11*s**3 + 14*s**2. Let r(x) = -4*k(x) + 7*z(x). Find a such that r(a) = 0.\nAnswer: 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71 + 74. Suppose -l*h + 12 = 3*a, -5*a = 3*h - 2*h. Solve 0 = -2*z + h*u - 9, -5*z - 2*u - 2 = -23 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83017 divided by 11.\nAnswer: -7547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -41*s - 16. Let u be b(-18). Suppose 13*c - 58 = u. Calculate the highest common factor of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, g: 4, w: 1}. Give prob of picking 1 g and 1 q.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 + -3)*1*-41*1. Let l = 35 + n. What are the prime factors of (-4)\/l*2370\/20?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33846, 135424, 304738, 541788, 846574, 1219096?\nAnswer: 1659354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/((-195)\/(-18))*4\/((-96)\/4).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72 - -1) + -2466 + 2499.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, e: 2}. What is prob of sequence cc?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 19, 47, 85?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 32 = -2*p + 5*d - 3*d - 98, -2*d - 60 = 2*p for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22683534 to the power of 1\/3, to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 164*b + 22*b**2 - 127*b**2 + b**3 + 3*b**3 - 104 + 41*b**2.\nAnswer: 4*(b - 13)*(b - 2)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 41605\/10012?\nAnswer: 41605\/10012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 2, 94621, -2 in descending order.\nAnswer: 94621, 11, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 15. Suppose -171 + 3 = -x*s. Is 15 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -348460 - -32016.\nAnswer: -316444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 603*f - 2*f**2 + 263*f - 173*f - f**2 - 2*f**2 to z*f + r*f**2 + c and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 2*o - 19922 + 19864, 3*o = -5*b - 0*b - 103 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l. Let z(k) = -3*k**2 - 64*k + 9. Let t(m) = -m**2 - 32*m + 4. Let o(h) = -9*t(h) + 4*z(h). Calculate o(r(j)).\nAnswer: -12*j**2 + 64*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2190 and 202?\nAnswer: 221190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -12*h - 1. Let r(v) = 37*v + 2. Let x(b) = 8*m(b) + 3*r(b). Let i be x(6). Calculate the highest common divisor of i and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 97, 0.5, -20\/19 in increasing order.\nAnswer: -20\/19, 0.5, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221 is divided by 31?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -18*w - 80. Determine t(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -7*a**5\/30 - 24*a**2. Let d(g) = -2*g**2. Calculate n(d(x)).\nAnswer: -56*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 614129 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 371 - 23. Is 29 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -281.4? (a) 5 (b) -2.3 (c) -2 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -25, 172993 in increasing order.\nAnswer: -25, 0, 172993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - 2. Let m(c) = 7*c**3 + 6*c. Let p be (-16)\/10*(-5)\/2. Let y(h) = -2*h**3 - 4*h**3 - 7*h + 2*h**3 - p*h**3. Give w*m(n) - 6*y(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 25*j - 121. Let v be n(-18). Suppose -z + 5*q = -25, 0*q = 2*z + v*q - 110. Solve 11*u + 12 = z for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3266613, 6533308, 9800003, 13066698, 16333393?\n\"Answer: 3266695*y - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gkaaagaggaaagaaagga. Give prob of sequence akga.\nAnswer: 385\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2695 + 2695.4. Let i = -2 + 2.01. Let t = 1.1 + -0.1. Which is the closest to t? (a) -1 (b) n (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11337, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**3 + 12*o**2 + 4*o + 100. Let f(y) = -5*y**2 - 2*y - 2. Determine -3*f(u) - v(u).\nAnswer: 2*u**3 + 3*u**2 + 2*u - 94","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-21)*(-14)\/4. Let y be 11 + 0 + f + -4. What is the highest common divisor of 9 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3\/4 - 621*a**2 + 7431*a\/4 - 2475\/2.\nAnswer: 3*(a - 825)*(a - 2)*(a - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*m = -138*m - 470. What is the remainder when m is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**9)**44*z\/(z\/z**(-3\/16))*z**(-2\/17) assuming z is positive.\nAnswer: z**(107629\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39715581.\nAnswer: 3, 13238527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 753568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaaaaaavaaaaaa. What is prob of picking 1 v and 1 a?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1022221 (base 3) in base 5?\nAnswer: -12340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeeeeeeeueeeueeee. What is prob of picking 3 e?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (112\/40)\/(2\/40) is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 491433 and 21623071\/44 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336809 - 339700 = -59*d for d.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-13212)\/(-45))\/(0 - 4\/(-50))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4 = 14, 5*x = b + 6. Suppose -2*q = b - 1. Suppose -5*m = -3*g + 4 - 47, -2*g + m = 24. Which is bigger: q or g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1102, -2205, -3308, -4411, -5514, -6617?\n\"Answer: -1103*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = r - 200649, 17*r = -3*j + 12*r + 85965. Is j a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -180, -215, -320, -531, -884, -1415, -2160?\n\"Answer: -6*u**3 + u**2 + 4*u - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14762.77518 minus 3?\nAnswer: -14765.77518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57362 and 164174.\nAnswer: 1978","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, q: 1, i: 1, x: 1, m: 1, s: 1}. What is prob of sequence eisx?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -3*q + 6*q + 20280, -4*g + 27039 = -5*q. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) - sqrt(95)*1)\/sqrt(5))**2 + -4 - 6*(sqrt(57)*-1 + sqrt(57) - sqrt(57))\/sqrt(3).\nAnswer: -4 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8924586 to the power of 1\/3, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -685364 - 40?\nAnswer: -685414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 478 - 437. Suppose -81*o = -c*o - 120. Solve 3*k - o = 9 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 957 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -290\/6999, 2\/7, 2\/43, 3?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/28 and -11\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2))**6\/(u\/(u*(u**(-3\/2)*u)\/u)*u**(-8)) assuming u is positive.\nAnswer: u**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 3*c**2 + 3*c - 3. Give k(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4639 and 27.7.\nAnswer: -12.85003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0 = 4. Let x(o) = -o**2 + 5*o - 7. Let j(n) = -6*n**2 + 26*n - 35. Let p(s) = c*j(s) + 11*x(s). List the prime factors of p(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/9*41*(-15)\/50 - 7. What is the second smallest value in -10, 1\/7, -6, 7, i?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9173\/5 - 1834. Let l(v) = -v**3 - 7*v**2 - 6*v - 9. Let z be l(-6). Which is the smallest value? (a) w (b) z (c) -2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.67 + 0.27. Let s = r + 2. Let q be (0 + -3)*5\/25. Sort q, s, 3\/5 in decreasing order.\nAnswer: 3\/5, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s**3 + 3*s**2 + 852*s + 9. Let l(x) = -7*x**3 - 5*x**2 - 1701*x - 15. Determine 5*a(j) + 3*l(j).\nAnswer: -j**3 - 843*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 3*q**3 - 33*q**2 - 1131*q - 4455 = 0?\nAnswer: -11, -5, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 9) + 6 + 1 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -0.3 (c) 1 (d) 519 (e) -89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o. Let w(g) = -14523*g + 2257. Give z(w(i)).\nAnswer: -14523*i + 2257","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 858 and 182292?\nAnswer: 2369796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 230371 and 9095.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.07 and -1246091486.\nAnswer: -1246091486.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = q + 4*n, q - 4*q - 2*n = 6. Let s = -7805 + 7810. Sort -47, s, 0, q in decreasing order.\nAnswer: s, 0, q, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(1215) + sqrt(1215) + 1*sqrt(1215)) + sqrt(1215) - sqrt(1215))\/(-4*(-1*sqrt(5) + sqrt(5)) + (sqrt(5) + sqrt(5) + sqrt(5)*1)*-3))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -242084 divided by -2.\nAnswer: 121042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-0.69\nAnswer: 0.069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77\/(-66)*20\/(-70).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -21361 less than or equal to -149521\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -5*c + 206, -37898*c + 117 = -37895*c - 6*n for c.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4261 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*p = 3*p + 6, -2*o = 3*p - 7. Solve -8 = -o*s - 2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -22 + 14 - ((-4 - 2) + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or -14.77?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -162478, -324930, -487156, -649042, -810474?\nAnswer: -971338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 + 152 = 27*d - 176 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f + 327075940 - 327075940.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 5*o**2 - 24*o + 49. Calculate the remainder when j(8) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -19?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12894728 and 186494.\nAnswer: 90263096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007336190299 to five dps.\nAnswer: -0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -393*v + 398*v + 15, d - v = 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-2))\/(f**(3\/2)\/f)*f**(5\/2)*f\/f**(-3\/2) assuming f is positive.\nAnswer: f**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3424 + -210?\nAnswer: -4134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16.9 - -15.9. Which is the closest to u? (a) -3\/2 (b) 0 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-6)\/l*l*l)\/((l\/(l\/(l*l*l**(-5)*l)))\/l)*((l*(l\/l**0*l*l)\/l)\/l)\/(l**(2\/5)*l))**(-6\/7) assuming l is positive.\nAnswer: l**(12\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (-13928)\/(-32) + 24\/32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.1064ml in litres?\nAnswer: 0.0771064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/2 - 3*x**2\/2 + 5*x + 12.\nAnswer: -(x - 3)*(x + 2)*(x + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j**2 + 17*j + 17. Let f(q) = 2*q**2 - 8*q - 8. What is -13*f(v) - 6*x(v)?\nAnswer: -2*v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2608142, 5216275, 7824408, 10432541, 13040674, 15648807?\n\"Answer: 2608133*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*o, 3*z + 11851 = 5*o + 29757. Let f = -1886 + z. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1538519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -x**3\/3 + x**2 + 2*x + 38. Let d be q(-15). Let c be -10*(1 - (-42)\/(-10)). Is d at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + x. Let k(v) = 11*v**2 - 9*v + 5. Let i(p) = -12*p**2 + 9*p - 6. Let s(y) = -2*i(y) - 3*k(y). Determine -6*f(j) + s(j).\nAnswer: -3*j**2 + 3*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 299901.8648 - 300120. Let c = i - -218. Round c to 2 decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 22*u**2 - 2374*u - 44040. Calculate v(-19).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -31*q**6\/6 - 2*q**5\/5 + 193*q**3\/3 + q**2 + 2128. Find the third derivative of v(y) wrt y.\nAnswer: -1860*y**2 - 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 5*f + 1007. Let v be k(34). Solve 65 = 22*y + v for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/60)\/(2\/12*1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 121 = 3539. Calculate the greatest common factor of 30 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((3 - 5) + 2)\/(-2). Let h(y) = -y**3 + y**2 + y - 2. What is h(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 5*n + 3. Let i be q(-3). Let o be i - ((-3 - 0) + 2). Let u = -5 - -15. What is the greatest common divisor of o and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*i**3 - 61*i**3 - 66*i**3.\nAnswer: -21*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/51885 and 89\/991580.\nAnswer: 8924220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 l when three letters picked without replacement from fffjlljjfifjl?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 11*h + 2. Let w be k(-11). Suppose -w*f = 6, -a = 2*a + 4*f - 255. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (3 - (-2 - (-6 + 2)) - -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.18 smaller than 540224?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3563 - 3563 + 6*u**3.\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, 8, 45, 98, 167, 252?\nAnswer: 353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -217.799857 - -217.8. What is g rounded to 5 decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l + 8*l + 1608 = 0. Let w = -156 + l. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14772554881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) - sqrt(80)*5)**2 - (5 + (sqrt(20) - sqrt(5))).\nAnswer: -sqrt(5) + 1275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 43*q**2 - 280*q - 27. Give k(-35).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 715463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -47, 13, 113, 253, 433?\n\"Answer: 20*v**2 - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -567 and 3.\nAnswer: -1701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -1564*z + 5. Let l(j) = -1589*j + 7. What is -3*l(d) + 4*q(d)?\nAnswer: -1489*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.6 (b) 19 (c) -3\/14 (d) -2\/15 (e) 0.4 (f) -280 (g) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 970\/17 + -6722\/119. Factor -12\/7*m**3 - l*m**2 + 32\/7*m - 16\/7.\nAnswer: -4*(m - 1)*(m + 2)*(3*m - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.57 or -10?\nAnswer: -0.57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 135039455?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((400\/(-15))\/8)\/(55\/198*-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/4 in -0.5, 2, 112, -1, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 23. Suppose 0 = -10*g + 5*g - z. List the prime factors of 2 - (1 - 1) - g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/18 and -23\/24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 8*i**2 - i - 5. Let u be v(-8). Suppose 6 = 3*d + u*h, d - h = -0*h + 4. Suppose d*o - 51 = -6. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 20*l + 13. Let n(p) = -18*p - 25. Let w(t) = 7*n(t) + 6*s(t). Let d(v) = -2*v**2. Calculate d(w(j)).\nAnswer: -72*j**2 - 2328*j - 18818","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 949060.6 nanometers to meters.\nAnswer: 0.0009490606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32619514189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j**3 + 63803 + 42522 - 20252 + 13401.\nAnswer: -9*j**3 + 99474","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -28*o. Let b(d) = -4*d. Let l(n) = -5*n. Let i(m) = -6*b(m) + 4*l(m). Give g(i(t)).\nAnswer: -112*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 - 4*t. Give h(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20279 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d + 8*d - 3*d + 3*d as s + n*d and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/2*4 + -2. Suppose 4*i - 53 = -a, 0 = 2*a - w*i - 0*i - 106. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-15)\/(-20) + (-20)\/80 and (12\/14)\/(52\/(-35)).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -9*w + 123. Let m = -38\/3 + w. What is i in 2\/3 - i + m*i**2 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.00551548 - -2.852759103. Let v = 0.15275 + p. Round v to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q - 3*l = -155*q - 328 - 987, -q - q + 2*l + 22 = -3*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = -10*g - 12. Let o be -57 - (8\/g)\/(2\/(-3)). Let b = 62 + o. Solve b*m + m = 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10220 + -2002?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 9:46 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 482925 = -47*l + 52*l, 2*l - 5*f = 193187. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 0*u**2 - 4*u + 10 + 4*u**2 - 3*u**2 + 4320000*u**3 - 3*u. Let z be i(2). Round z to the nearest one million.\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158 - 160 = -2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -528486 (base 9) in base 6?\nAnswer: -10424253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - -950429\nAnswer: 950429.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 16*c**2 + c - 116. Let f(u) = 33*u**2 + 3*u - 232. Let i(x) = -3*f(x) + 7*w(x). Differentiate i(a) with respect to a.\nAnswer: 26*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -x**9\/1008 - x**5\/40 - x**3\/3 + 3. Let z(k) be the third derivative of n(k). What is the second derivative of z(o) wrt o?\nAnswer: -60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-15188)\/10)\/(6\/(-15)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 76968 and 1.\nAnswer: 76968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4039 - 4039 + 3397*w in the form n + h*w and give h.\nAnswer: 3397","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*g**4 + 2*g**4 + 114*g**3 - 117*g**3 + 121*g**2 wrt g?\nAnswer: 264*g - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2773732 to the nearest integer?\nAnswer: 1665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 563267\/90124 + 2\/22531. Let l(f) be the first derivative of 0*f - 27\/2*f**2 - 11 + 0*f**3 - p*f**4. Find the second derivative of l(m) wrt m.\nAnswer: -150*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 6*p**2 - 4*p - 2. Let m be x(2). Solve 2*o + 2*y = -3*y + m, 2 = 2*o + 2*y for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z - 8. Let k be a(-4). Let t(f) = -f**2 - f + 5. Calculate t(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (-1111)\/99) + -2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 119 and 408?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of q**4\/4 - q**3 - 2*q**2. Let i(d) = 3*d - d + 5 - 4*d - 3*d. Calculate 5*i(z) + 4*p(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -50*f - 8355. Let m be h(-165). Which is the biggest value? (a) m (b) -3 (c) 1\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-43435)\/(-3212) - (-72)\/(-6) and 26\/96 - (-1)\/(-4).\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28.7 + 29. Let l = 0.6 + -0.9. Let w = 0.2 + l. What is the nearest to w in 0, x, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 318?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1977798658 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 6*j**2 - 7*j + 1. Let f(c) = -7*c**2 + 8*c. Let d(g) = -3*f(g) - 4*p(g). Let h(r) = r**2 - r + 1. Let u(m) = 3*d(m) + 8*h(m). Determine u(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 7*q**2 - 15*q - 1055. Let m(h) = -h**3 + 12*h**2 + 25*h + 2113. Calculate 3*m(l) + 5*w(l).\nAnswer: 2*l**3 + l**2 + 1064","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -14, -31, -54?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 338 and 0.09.\nAnswer: 338.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -7*o**8\/24 - 7*o**4\/4 + 2*o**2 + 92*o. What is the second derivative of r(q) wrt q?\nAnswer: -1960*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.3 (b) 1543 (c) 2 (d) -0.1 (e) 3.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, k: 7, h: 9}. What is prob of picking 1 k and 1 h?\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*u - 3*i, 2*u = i - 0*i for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1622 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**9\/n**(-2\/69)*(n\/(n*((((n**7\/n)\/n)\/n)\/n)\/n*n*n*n))\/(n\/(n\/(n**17*n))) assuming n is positive.\nAnswer: n**(-964\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 194 - 58 = 0. Let y be 6\/(-4) + h\/28. What is the tens digit of (5\/4)\/(y\/84)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 47*g**2 + 2*g. Calculate n(-1).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*v**4 + 61*v**3 - 4101*v**2 - 2926742*v.\nAnswer: 96*v**2 + 366*v - 8202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6958, 27671, 62142, 110365, 172334, 248043, 337486, 440657?\n\"Answer: -q**3 + 6885*q**2 + 65*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 85211, 170156, 255101, 340046, 424991, 509936?\n\"Answer: 84945*v + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (154\/6 - -2)\/((-9)\/27). Let w = -29 - a. Let c(q) = -54 - 2*q**2 + w. Let m(r) = -10*r**2. Determine c(m(o)).\nAnswer: -200*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1542889*f**2 - 1544753*f**2 - 4 + 2)*(2 - f**2 - 2) to the form g + m*f**4 + r*f**2 + d*f**3 + s*f and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (63\/15 - 4)\/(12\/120). Put -67, m, -2, 4 in increasing order.\nAnswer: -67, -2, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 38\/8 + 1\/4. Let b(h) = 11*h**3 + 174*h**2 - 63*h - 496. Let a be b(-16). Sort 3, u, 28, a in descending order.\nAnswer: 28, u, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2904\/16*-2*(-24)\/9 is divided by 97?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(96)\/sqrt(3) + 4 + sqrt(32) + sqrt(32).\nAnswer: 4 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7838831321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 8206.46 to the nearest 100.\nAnswer: 8200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 8*b - 6. Let s be u(-4). Let t = -7 + s. Let d be (t + 3 + -2)\/4. Solve -f = -d - 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 456434*i**4 + 8*i**3 - 870749*i**2.\nAnswer: 10954416*i + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3120 and 234?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-63*s - 66*s + 131*s + 51)*(-4*s + 2*s**2 + 4*s) in the form f*s**3 + p*s + g*s**2 + w and give g.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1596.49 - -1590. Let j = q + 6.4901685. Round j to five decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 12:38 AM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 10140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(1573) - (-4 + sqrt(1573) + 0)) + -3 + -1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 5*a**2 + 6*a - 2. Let t be m(2). Suppose -3*j = -3*v + 11 - 2, 5*j = -v + 3. Does j = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.508007 tonnes in nanograms?\nAnswer: 8508007000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g - 3. Let u be n(-6). Let b(x) = 10*x - u*x - 4*x. Let d(q) = -5*q. Give b(d(l)).\nAnswer: -15*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 61 + 92 = 0. What is the tens digit of (12\/(-9))\/4*r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 749864701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 54979 in 326, -0.1, -4?\nAnswer: 326","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (((-40560)\/(-144))\/169)\/((-2)\/(-108)*3)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 322*h**3*i**2*s**3 + h**3*i**2*s**2 - 4*h**3*i*s**2 - h**3 - h**2*i**3*s - 2*h*i**3*s**3 wrt s?\nAnswer: 1932*h**3*i**2 - 12*h*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1498.\nAnswer: 2, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 41*g - 1 - 23*g - g**3 - 19*g. Let i(j) = 7*j**3 + 4*j + 5. Give -4*d(b) - i(b).\nAnswer: -3*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooboeidoeboieobf. What is prob of sequence be?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 307\/1535*10\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20458799?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -643180, -1286395, -1929610?\n\"Answer: -643215*v + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 912 and -6373957.\nAnswer: -6373045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**2\/7 + 36418506*w\/7 + 36418503\/7 = 0. Calculate w.\nAnswer: -12139501, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 - -16636 - (1 + 4 - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 490*r - 634. Let t(b) = 493*b - 644. Let j(d) = 6*q(d) - 5*t(d). Find the first derivative of j(p) wrt p.\nAnswer: 475","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44308121*g + 44308196*g = -1575 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/112)\/((-420)\/(-98))\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1131*(4 + 325\/(-39)).\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b + 2. Suppose -13*t + 61 - 9 = 0. What is v(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-15))\/(c**(-1\/16)*c*c*c))**(1\/5))**(4\/17) assuming c is positive.\nAnswer: c**(-271\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 63, 124, 185?\n\"Answer: 61*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 747.9357 decades to years.\nAnswer: 7479.357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b = -0*b - 32 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1383*v + 7080*v + 76758 = 19788 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, x: 3}. What is prob of picking 1 q and 1 x?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -16. Let m = -5 - t. Let d = -10 - -14. Solve -4*o + 8 = -d*w, m = -4*o - w - 4 + 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f**10*f)))**(-4\/9) assuming f is positive.\nAnswer: f**(-44\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 11*a - 13. Give v(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 47 - 38 = -5*z, 0 = -2*z + 4*f + 36 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 295 - 308.7. Let l = n + 14. Let f be (-1 + 18\/20)*4. Which is the nearest to 0? (a) 0 (b) f (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -97? (a) 1 (b) 1060 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 4*y - 76 = 0, 12*p + 10*y = -3*y + 11*y + 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1323 + -1)\/(6\/(-42)*-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = -3*n + 1375, n = w - 2*w + 450. Calculate the remainder when n is divided by 227.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 + 15*h**2 - 80*h + 60.\nAnswer: 5*(h - 2)*(h - 1)*(h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 246\nAnswer: -1\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 5*g + 9, 5*f - 3*g = -7*g - 9. Let t be 20\/6*36\/(-10). Let x be (-4)\/(-33)*18\/t. Is x smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 3*d = 36. What is the highest common factor of d and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -p - 150. Let q = -18 + p. Is 4 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 4 - 1\/(1 + 0). Is (58\/l + 1)*(-40)\/(-15) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 117, 200, 339, 534, 785?\nAnswer: 1092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7*(-1)\/(-3))\/(-21*(-4)\/36).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c + 10. Let h be f(6). Suppose -1982 + 210 = -h*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -993781 and 0.3.\nAnswer: -298134.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(48\/(-20))*10\/275. What is the fifth smallest value in 1, 2, z, -3.4, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -5766418 <= -5766418?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**3 - f**3 - 16*f**3.\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -9*i + 8. Give t(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 32 + 3 = 5*n, 2*y + 10 = 0. Let j(u) be the first derivative of 9\/2*u**n + 6*u + u**3 - 3. Factor j(w).\nAnswer: 3*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189*f**2 - 427*f**2 + 103*f**2.\nAnswer: -513*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.9481 - -2.9481. Let j = 1 + -1. Let l = 1 - -14. Which is the closest to -2? (a) l (b) j (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 - 2)*(0*o + 3*o - 4*o)*(-1 - 3 + 6)*(o + 0 + 0).\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, z: 1, j: 1, e: 1}. What is prob of sequence et?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = d - 6. Suppose 18*y - d = 19*y. Calculate the remainder when (-7)\/((-70)\/128) + y\/5 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**2 + 6*r + 1. What is p(-4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 75 = 4*n. Let k = -46 - n. Is 16 a factor of 2*-3*(-3 + k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2075*s + 48 = 4161*s - 2083*s for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 9:43 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*g + 15476 = 2727 for g.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**4 - 4472*r**3 + 3620*r**2 + 948896*r - 1876560 = 0 for r.\nAnswer: -15, 2, 14, 1117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 2493 and 2910.79835.\nAnswer: 5403.79835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01851359321 to three dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -680873, -2723332, -6127423, -10893140, -17020477, -24509428?\n\"Answer: l**3 - 680822*l**2 - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 2*q - j, 0*q - 3*j = -2*q + 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56392 by 105.\nAnswer: -8056\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*j**2 + 14 + 35*j**2 - 2*j**2 + 14 wrt j?\nAnswer: 84*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 11.\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -t**3\/3 + 4*t**2 - 6*t + 16. Determine p(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmf when four letters picked without replacement from {y: 7, f: 2, m: 5}.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 280 + -263. Calculate the remainder when (66\/(-5))\/((-1)\/5) is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-4) - 74\/4. Let r(z) = z**3 + 19*z**2 + 12*z - 18. Let s be r(a). Suppose -6*c + s = -c. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*k**2 + 6*k**3 - 6*k**3 + 2*k**3 + 2*k**3 wrt k.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - t - 9, -2 = -4*r + 3*t + 9. Factor 3*h**r + 3*h - 3*h - 6*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*0.16398.\nAnswer: -0.08199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -405345\/16 - -25347. Is 14 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2625 + 9210. Suppose -3*g + d = -3*r, g + 4*r = 2*g - 2180. Round g to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2781040*v**2*y**3 - 29*v**2*y**2 - 27*v**2*y + v**2 - 35*v*y + 2*y**2 + y + 4420 wrt y?\nAnswer: -16686240*v**2*y - 58*v**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 111\/17 in -9, 11, -67, -0.1?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 2:09 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in nine tenths of a day?\nAnswer: 77760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 0 = 3*h, -2*w - 3*h + 47 = 0. Let x(n) = n**2 - 21*n - 23. Let o be x(w). Let d be o*(-2 - -2) - -4. Solve -5 - 11 = d*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 14 - -6) + 9 - 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.92 + -0.08. Let y be ((-574)\/(-28))\/((-2)\/(-4)). Suppose 40*s + 1 = y*s. Which is the third biggest value? (a) 0.5 (b) s (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5440.2 rounded to the nearest one hundred?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 8823.664 millennia?\nAnswer: 8823664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*2\/4*4. Suppose 10 = s + 4*m, -5*m + m = 5*s - 18. Let r = s + g. Solve 11 + r = -5*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 12*o + 576. Suppose -26*k + 30*k = o. Let n(v) = -1030 + 11*v + 512 + 507 - k*v**2. Let d(m) = -3*m**2 + 2*m - 2. Determine 11*d(c) - 2*n(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-18) - 194\/18. Let j be 1\/(-2) - n\/2. Suppose 0 = -4*w + 3*q - 1, 2*w - w + q - j = 0. Solve 0 = -y + w*y - 3*b + 19, -5*y - 2*b = 10 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1451366?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11.5 - 7.8. Let t = -13134425.3 - -13134421.59999905. Let b = a + t. What is b rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**5\/3 - 358*s**4 + 143644*s**3\/3 + 145796*s**2\/3 - 47882*s - 144722\/3 = 0?\nAnswer: -1, 1, 269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*b**4 - 174*b**2 - 5 + b**3 - 139*b**2 + 312*b**2 + 2*b as t + s*b**3 + a*b**4 + n*b + y*b**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -8*g. Let z(c) be the second derivative of -11*c - 7\/6*c**3 + 0*c**2 + 2. What is z(m(p))?\nAnswer: 56*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2675, -2658, -2629, -2582, -2511?\n\"Answer: b**3 + 10*b - 2686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 2 + (7 + 15 + -27 - -10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 - -0.1. Let m = -41 + 125\/3. What is the closest to -1 in m, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**3 - 9*v**2 - 7*v + 10. What is the remainder when t(8) is divided by 102?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1630 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 a when four letters picked without replacement from yyzayyyyy.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.41897 to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*n - 38 = 0. Suppose -2*s - n = -3*s. Suppose 41 = 3*a + 2*x, a - x = -3*x + s. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 u when two letters picked without replacement from wwlwuupjwllspwwssllp?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-21))\/(19\/(-266)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and -4202.3867?\nAnswer: 2521.43202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 528 + -503. What is the remainder when 222 is divided by v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -63.41 and -4.5?\nAnswer: 285.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 8*h = 0. Suppose -4*o + 10 = -h*o - g, 5*g + 10 = 0. Let l = 31 + -28. Solve l = m + o*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2910 (base 11) to base 15.\nAnswer: -11ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l + 8. Let i be t(6). Let a = -2.2 - -1.2. What is the closest to -1\/2 in i, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -1\/4*q + 6 - 1\/4*q**3 + 1\/16*q**4 + 3\/8*q**2. Factor n(h).\nAnswer: (h - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2690.08153 rounded to the nearest one hundred?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -1757*c + 3765. Let p(q) = q - 3. Calculate 1255*p(i) + z(i).\nAnswer: -502*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1672, -1685, -1698, -1711, -1724, -1737?\nAnswer: -1750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 5*c - 7 - 18, -22 = -2*x - c. Suppose d = v + x, 35 = 5*d - 2*v + 7*v. Calculate the remainder when 9 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217387885.\nAnswer: 5, 11, 13, 304039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7703, -14003, -20303?\nAnswer: -26603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -91 - -170. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/(1\/(-17)*1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 5*k - 2. Let l be -1 - (0 - -8 - 0). Let d = l + 23. What is the smallest common multiple of k and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (40*(-12)\/(-90))\/((-6)\/9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4652 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-9)\/6*(2\/(-6) + 1426350\/(-90))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -34*l**2 - 2674*l - 1750. Calculate i(-78).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4*j - 2. Let p = -8 - -6. Let b be i(p). Solve t - b = -t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 302*o**2 + 3*o - 14. Let n(u) = 201*u**2 + 2*u - 10. What is -7*n(r) + 5*x(r)?\nAnswer: 103*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/(-2905))\/(1\/31). Let p = -3\/83 - z. Let u = 3.3 - 3. What is the nearest to -1 in p, 1\/5, u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1197170 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 67, 125, 185, 247, 311, 377, 445?\n\"Answer: k**2 + 55*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 112\/(-24)*(-5)\/(-210)*-4\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-5) + 4\/10. Which is the second smallest value? (a) 0.2 (b) p (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 15, 25, 35?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 35596501 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 5:51 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1917 and 568?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 886444 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 189?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58151 by -6.\nAnswer: 58151\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 191767282 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 6:59 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 771.7844l in millilitres?\nAnswer: 771784.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 613*l**3 + 173*l**3 - 785*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 22 = -26. Put u, -36, -2, 5 in decreasing order.\nAnswer: 5, u, -2, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 951285819*k**2 + 127388465*k.\nAnswer: 1902571638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2 - 9*w + 3. Let z be i(8). Let m be (-1)\/(-4) + z\/4. What is h in -m*h**2 - 8*h + 2*h + 0*h**3 - 9*h**3 = 0?\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.52 - 0.52. Let u = -0.1 - 0.2. Which is the second biggest value? (a) u (b) k (c) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 86.\nAnswer: 1\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-39)\/335)\/(8\/1270). Let t = 18\/67 - v. Calculate the common denominator of -57\/4 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((2 - 5) + -2)*210\/75. Let j(q) = q**3 + 13*q**2 - 14*q + 1. Let h be j(i). Let c be 26\/26 - 11\/7. What is the nearest to h in 87, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18 - 0?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1984 + 1959 + (7 + 0 - (1 + -1)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 - -40. Let a = -6 + 12. Let z(y) = 1 + 8*y - a*y - y. Calculate z(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 7. Let h be j(-5). Let u be (-424)\/(-36) + (-4)\/h. Let n be u\/(-42) - (-2)\/7. What is the second smallest value in 4, 0.1, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 508 = 4*n, 0*n - 2*s = -4*n + 508. Suppose 0 = -3*w + 3, 2*k - k + 4*w = n. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/7 in -1, 39, -40, -0.06, -0.4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 57*n**3*r - 2*n**3 + 391285*n*r + 844*r + 211384 wrt n.\nAnswer: 171*n**2*r - 6*n**2 + 391285*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -5*k + 14, 0 = -3*a + 13 - 1. What is the third derivative of 4*l**2 - 2*l**k + 10*l**4 + 5*l**2 - 4*l**4 wrt l?\nAnswer: 144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.25 in -4, 1\/20, -9, -0.221, -0.4?\nAnswer: -0.221","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56129869?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 5:11 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 4. Suppose 4 = 4*w - 8. Suppose t = -w*o + 15. What is the lowest common multiple of o and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 1585*d - 142. Is b(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 563 equal to 485?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 18\/1735?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*l - 6*l + 0*l - 6 + 0 with respect to l.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 457555.8 millilitres to litres.\nAnswer: 457.5558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 1 = -7. Suppose -z - 4*d = -16, -3*z = -7*z + y*d + 46. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7\/18 - -26\/9. Suppose -11 + 18 = 3*k - a, -2*k = a - 8. Which is greater: q or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 42. Let x = 0.3194 - 18.3204. Let c = a - x. Round c to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of 583*f**3\/3 + 2875*f**2\/2 - 682*f. What is the first derivative of l(a) wrt a?\nAnswer: 1166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11407028743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 90 + -87. Suppose a*f = -9*f + 96. Sort 2\/7, -2\/9, 0.5, f.\nAnswer: -2\/9, 2\/7, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50011056?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -150250 - 0.2\nAnswer: -150250.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 26*h - 53 + 18 + 78*h + 17.\nAnswer: 52*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 75 + 189. Solve -26 + n = -3*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -89 + 89. Suppose -h = -4*k + 7, 11 + 2 = 5*k + 3*h. Let r = 1 + 2. Solve f = r*a - 2*a - k for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 5887*n - 31 = 5888*n, 4*n + 9 = -3*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 990 - -4101. What is the thousands digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 7*v**2 - 70*v + 3. Let c be f(10). Solve -c*w + 18 = 3 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 + 234. Let h = -178 + l. What is the remainder when 59 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9864.23*5\nAnswer: -49321.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of x**8\/6720 - x**7\/7560 - x**6\/720 + x**5\/360 - x**4\/3 - x. Let h(o) be the third derivative of w(o). Solve h(n) = 0 for n.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12143976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) 4 (c) -0.38 (d) -2\/7 (e) 6\/7 (f) 15 (g) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbdrdrr. Give prob of picking 2 d.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59093, -59094, -59095, -59096, -59097?\nAnswer: -59098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -324.26 and -44.\nAnswer: 14267.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of b**5\/120 - 5*b**4\/72 + 7*b**3\/36 - b**2\/4 - 46*b. Find j, given that m(j) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-4)*-2 + 6. Let y = w + -5. Let r = -146 + 1024\/7. Which is greater: r or y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4*k. Let q(n) = -1792*n**2 - 24*n - 6. Let o(z) = -3*z**2 - 4*z - 1. Let y(g) = 6*o(g) - q(g). Determine b(y(p)).\nAnswer: -7096*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (3 - (0 - -6)) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 1399*f**2 + 4*f + 5. Let c be s(-1). Suppose -5*y = -4*d + 565 + c, 4*y + 483 = d. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -17 - (-79 + (37 - -50))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**3 - 2. Suppose 3*m = -10*m - 65. Let g = 76 + -7. Let w = -68 + g. Let s(f) = f**3 - 1. What is m*s(o) + w*d(o)?\nAnswer: -2*o**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 2*i - 223, -3*n + 5*i + 111 - 2 = 0. Let o(u) = 23*u - 4. Let a be o(3). Let q = a - n. Calculate the lowest common multiple of q and 7.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*n + 8, 8*q = 3*q - 20. Let f = 30 + n. Calculate the smallest common multiple of 22 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5*z**3 - z**2 + 2*z - 1. Let s be h(1). Let m = s + 6. Let f = m + -2. Is f at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6355, 5209, 4061, 2911, 1759?\nAnswer: 605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -10*o - 18*o + 30*o. Let g(x) = -138*x**2 - 4. Let c(m) = 275*m**2 + 7. Let v(t) = -4*c(t) - 7*g(t). Determine v(s(a)).\nAnswer: -536*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5*v = m + 8, 4*v + 20 = 0. Let f = m - 1. Is (107 - 6\/(-3))\/f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-4))\/((-90)\/(-72)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u - 14\/3*u**3 + 0 + 8\/3*u**4 + 0*u**2 = 0 for u.\nAnswer: 0, 7\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1586825 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2013 + 4162. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*f = -160*f + 130. Solve -5*i = -f*i + 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27804 and 2324?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 84\/40 + 87\/(-58)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of f**5\/105 + f**4\/6 - 26*f**2 - 49*f. Let i(d) be the first derivative of b(d). Suppose i(o) = 0. What is o?\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6019*-5\nAnswer: 3.0095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3329328 divided by -556?\nAnswer: 5988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*y + 5944 - 6189 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4198454 divided by -7.\nAnswer: 4198454\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1462586 greater than or equal to -3\/292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6.1 (b) -2 (c) 20 (d) -21 (e) -1 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 3 (b) -1\/5 (c) -2 (d) 9\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 93, 98, 107, 120, 137?\n\"Answer: 2*s**2 - s + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 853878.9nm?\nAnswer: 853.8789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 12*a + 2. Let q be k(-4). Let j be q\/(-14) - (-2)\/(-7). Find the second derivative of 0*z - j*z + 4*z**3 - 3*z**3 wrt z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of 0*v**6 - 19\/42*v**7 + 0*v**2 + 0 + 0*v**5 - 13*v + 0*v**4 - 5\/3*v**3. Find the second derivative of a(r) wrt r.\nAnswer: -380*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 9:39 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, -2, 17, 26, 3, -19.\nAnswer: -19, -2, 3, 17, 26, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuigcuuuguucccc. Give prob of picking 2 c and 1 i.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*n - 2*a - 2*a, -15 = -3*n - a. Suppose 3*i + n = -4. Let x(u) = -u**2 - 6*u + 2. Is x(i) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*y + y - 3*y.\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11226*s**3 + 920*s wrt s.\nAnswer: -67356*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2157 divided by 331\nAnswer: -2157\/331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 609635?\nAnswer: 5, 13, 83, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 82719 and 3023.402.\nAnswer: 85742.402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 856 - 855.99237. What is h rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*y - 167 - 188 = 317 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 18. Which is the third smallest value? (a) z (b) -3.1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*d = 5*f - 5, d = -f + 10. Let r = 9 + f. What is the highest common divisor of r and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -19*d**3\/6 + 3*d. Let c(v) = 2*v**2. Let r(p) = 8*p**2. Let u(t) = 5*c(t) - r(t). Give b(u(w)).\nAnswer: -38*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -48, 0.1, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -105715 divided by -168\nAnswer: 105715\/168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hnthnnnzcvnzh. What is prob of sequence hnn?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -151\/174 or -33?\nAnswer: -151\/174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -36592.097, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67 - 59. Let a be 4*(-3*(-10)\/g - 3). Let o(v) = 50*v - 6. Does 12 divide o(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 88 in decreasing order.\nAnswer: 88, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 9533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -55740, -222993, -501756, -892029?\n\"Answer: -55755*t**2 + 12*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3820, -15513, -34994, -62257, -97296?\n\"Answer: l**3 - 3900*l**2 + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/354363 and -30\/7.\nAnswer: 2480541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1217 + 3163. What is the lowest common multiple of w and 6?\nAnswer: 5838","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**3 - 3*o**3 + 2*o**4 + 4*o**4 + 4*o**4 - 6*o**4 + (-4*o**3 + o**3 + 2*o**3)*(-o + 0*o + 2*o) + 2*o**3 + 0*o**3 + 12*o**4 - o**3.\nAnswer: 15*o**4 + o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, x: 3}. What is prob of picking 3 x and 1 u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 + 36. Suppose 0 = u + y*u - 12. Determine s, given that 4*s**4 - s**3 - 5*s**u + 2*s**4 + 2*s**3 - s**5 - s**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o + 9*v - 44 = 6*v + 20, 0 = -4*v + 72 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.096 and -2.1.\nAnswer: -0.2016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23*n*p**2 + n*u - 2*n - 49*p*u - 10*u - 76 wrt p.\nAnswer: 46*n*p - 49*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294*y - 177*y - 899*y - 14700 = -145*y for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -1.9. Let n = -2.9 + o. Let h = 7.8 - 8. What is the nearest to h in n, -5, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27930684?\nAnswer: 2, 3, 19, 122503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-130)\/45)\/((-6)\/9) - 6. Which is the closest to -1.9? (a) j (b) -2\/13 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(-3*sqrt(11)) - (sqrt(117) + -3).\nAnswer: -10*sqrt(13)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*h**2 - 2307*h - 330 = 0. Calculate h.\nAnswer: -1\/7, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -3.3. Sort -0.14, 0, z.\nAnswer: -0.14, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2161a (base 11) to base 8\nAnswer: -75200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2409.9 - -2642. Let i = m - 232. Which is the third biggest value? (a) -1\/22 (b) -5 (c) i (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*u = 54*u + 36 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 848 by -848.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -747*h + 752*h + 1 = -2*n, 2*n = 3*h + 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4487111893 to the power of 1\/2, to the nearest integer?\nAnswer: 66986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(1\/3))\/q**(-2\/11))\/((q\/q**5)\/q**(-1)))**34 assuming q is positive.\nAnswer: q**(4318\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -19382+8704\nAnswer: -10678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246530 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -35*h - 384. Let r be t(-11). Find the common denominator of (r\/((-72)\/(-202)))\/(3\/9) and 109\/44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*o = 8, 2*g + 31 - 7 = -4*o. Let r(i) = 6*i**3 - i**2 - i + 1. Let q be r(1). List the prime factors of 45 - q\/(g\/8).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 5*q - 4. Let v be b(-6). Find the third derivative of 11*m**4 + 6*m**v - 4*m**4 - 3*m**4 wrt m.\nAnswer: 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -2*a + 431, 2*a = 3*k + 285 + 144. Calculate the highest common factor of 497 and a.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 39031.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8398\/78*(-1 + -2). Let t = 110 - o. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4606739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 + (-5)\/(20\/(-12)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/11 - 32\/(-176). Suppose 3*u = -v*s + 46, -2*u - 2*u = -4*s + 72. Solve 3*k - g = -4*g - 12, s = -4*g for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*k - 1508 = -28*k. Suppose -k*d + 154 = -7*d. Solve -2*l = -d*l + 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*s, 3*j + s = 2*j + 3 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 4*d + 34. Let k be i(8). Let r(p) be the first derivative of 3\/4*p**4 + 1\/6*p**6 + 0*p + 4\/5*p**5 - 2*p**k - 4 - 4\/3*p**3. Factor r(b).\nAnswer: b*(b - 1)*(b + 1)*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -32761*c**5 - 5474*c**4 + 720*c**3 + 20407*c**4 - 6812*c**4 + 4*c**2 + 23916*c**4 = 0. What is c?\nAnswer: -2\/181, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121672*n**2 + 60763*n**2 + 60908*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*g**2 - 17*g**2 - 8*g**2)*((-1 + 3 - 3)*(g - 3*g + g) + 0*g + 0*g - 4*g + g + 12*g - 4*g) in the form i*g + f + j*g**3 + o*g**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wip when three letters picked without replacement from {p: 1, w: 1, i: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 0.27?\nAnswer: -1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 8*x + 1. Let u(l) = -l**3 + 3*l**2 + 4*l + 1. Let j be u(4). Let f be q(j). Calculate the highest common factor of 81 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 6*-4*4*sqrt(891) + ((sqrt(891) - -4*sqrt(891)) + 4)*-2)**2.\nAnswer: 9540*sqrt(11) + 10011301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((-5291)\/121)\/(-13) - 0?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 8*v + 3 + (-v - v + v)*(-2 + 6 + 0) - 3*v + v + 4*v - 3*v + v + 0*v)*(v**4 - 5 + 5).\nAnswer: -12*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 0 + -10 - (-24 - -34)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*n = 7, -27*n = 4*a - 25*n - 10. Let k be 14 + 1*a*(-5)\/2. Solve 0*g = -9*g + k for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwfywwwddwywdwdyww. What is prob of picking 1 w and 1 f?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -1\/2*i**2 + 2 + i + 1\/12*i**3. Solve t(b) = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 14*f**2 - 12*f + 17. Let s be g(-13). Does 21 divide (-11)\/44 - (-257)\/s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -2. Let j = 1 - g. Suppose 0 = 26*c - 25*c. Which is smaller: c or j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - (10 + (-3 - -3)). What is the tens digit of (-1158)\/(-14) - h\/21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 8 + (-51 - -70 - (11 + (-8 - -61))).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 660 - 3985\/6. Let a = -2045 + 24511\/12. Find the common denominator of c and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence smm when three letters picked without replacement from {s: 12, m: 5, j: 1, g: 1}.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2131 - -2131. Which is smaller: l or 22\/217?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 899.2108 millimeters in nanometers?\nAnswer: 899210800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + q + 2, -4*q - 3 = -q. Suppose 5 = y - l. Find the second derivative of 32*x**3 - 15*x + 17*x + 14*x - y*x**3 wrt x.\nAnswer: 156*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6479269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*c - 279*c**3 + 31*c.\nAnswer: -279*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, i: 12}. Give prob of sequence jii.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 214 + 82. Suppose -6*j + 4 = -r. Calculate the remainder when j is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f + 2. Let t(h) = 1. Let n(y) = -6*t(y) - z(y). Calculate n(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71*w**3 + 20*w**2 + 23*w**2 + 42*w**2 + 106*w**2 wrt w.\nAnswer: -426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -904.8933 to one dp.\nAnswer: -904.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 19*b**2 + 43*b - 17. Let y be o(21). Suppose 8*w + 193 = 1. Let k = w - -28. Solve -f - 1 = -k*d + y, -3*f = 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + f = -4. Let p be 1\/f + (-26)\/(-4). Is ((-4)\/p)\/((-6)\/333) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f**0\/f)\/f)**(-7)\/((f*f**(-2))\/(f*f\/f**8)))**3 assuming f is positive.\nAnswer: f**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, w: 3}. What is prob of picking 1 w and 1 j?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4649*a = 5*i + 4648*a + 11, 3*a - 6 = 24*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 3*q + 13, -1101*r + 1098*r = -3*q - 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 36\/(-144) - 23\/(-28). Which is the closest to 2\/5? (a) y (b) 2\/11 (c) -0.01 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43124744 by 829322.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 43*v**2 + 121*v - 18. Calculate f(-2).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*p - 136 = 0, -t - t = 5*p - 259. Does 44 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/97 + 85\/388. Let u = 2.7 + -3. Let q = u - 0.2. What is the third smallest value in q, h, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -231*p - 56. Let z = 22 + -23. Calculate the least common multiple of 35 and c(z).\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 620 = -236. Is w a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62872231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -518 + 4885\nAnswer: 4367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -806*t + 778*t + 3259508. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 2.9. Let u = -28 - -28.4. What is the closest to -1\/4 in k, u, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 9:25 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2863 + 6827 = 625*x - 7286 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -35 + 38468754?\nAnswer: 38468718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*k*m*x**2 + 2*k*x - 95*m*x + 4*x**2 - 5*x wrt m?\nAnswer: 2*k*x**2 - 95*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 266?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (16\/(-28))\/((-2)\/7). Differentiate -4 - 4 + 3 + m**o - 2 with respect to m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.565 - -43.035. What is d rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*g**3 + 28*g**3 + 22*g**3 + 114*g**3 - 26*g**3.\nAnswer: 125*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -300*658.\nAnswer: -197400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p - 4425 + 2218 + 2204.\nAnswer: -2*p - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 256167 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -166973\/12 + 13914. Is -1 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1067, -963, -789, -545, -231, 153?\n\"Answer: 35*s**2 - s - 1101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 4*u - 4*g, -3*u + 5755 - 5747 = 2*g for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -99\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 659 - -68. What are the prime factors of m?\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 16 = 6*p. Solve 3*u = 4*o + 16, -p*u = 3*o - u + 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 3*w + 6. Let r be g(-4). Solve 4*f = -2*i, i = 2*i - r for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1589, 1587, 1583, 1577, 1569?\nAnswer: 1559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.4, 160 in increasing order.\nAnswer: 0, 0.4, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4679*q - 1846 = -4484*q + 2834 for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162808017.\nAnswer: 3, 19, 1063, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 408352383 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.406282 litres?\nAnswer: 6406.282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -k**4\/12 + k**3\/6 + 17*k**2\/2 + 10*k. Let v be l(0). Let b = v + -10. What is the remainder when b is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2428249 - 3947*k**2 - 2428249)*(4*k - 3*k - 3*k).\nAnswer: 7894*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of g**4\/12 + 7*g**3\/6 + 5*g**2 - g. Let p = 8 + -13. Let l be t(p). Solve -n - 4*n - 2*h = l, 2*n = 2*h for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g**2 + 4*g**2 - 2*g**2)*(-1 - 2*g + 1) + 30*g**3 - 362*g**2 + 362*g**2 - 3*g**3 - 3*g**3 + 5*g**3 in the form x*g + j + m*g**3 + v*g**2 and give m.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -50\/21 or -11.29?\nAnswer: -50\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, g: 2, p: 1, f: 2, u: 3, i: 4}. Give prob of picking 1 j, 1 f, and 1 p.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 7 = -2*d, -d = 3*d + n - 17. Which is the second biggest value? (a) -3 (b) 3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of 0*p**4 + 0 + 1\/60*p**6 - 1\/30*p**5 + 0*p + 5*p**2 + 0*p**3. Factor n(g).\nAnswer: 2*g**2*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.036 + -0.424. Let p = -9.64 + y. Let g = -10 - p. What is the smallest value in 4, g, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 43276978, 43276979, 43276982, 43276987, 43276994?\n\"Answer: l**2 - 2*l + 43276979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 + v**3 - v**4 + (2*v**2 - v + v)*(0*v**2 + 0*v**2 - 2*v**2) + 1 - v**4 - 1 - v**4 - 1 + 1.\nAnswer: -7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 107 - 6. Let w = h + -96. Find the third derivative of -4067*k**2 - 5*k**5 - 17*k**w + 4100*k**2 wrt k.\nAnswer: -1320*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/4 and 1*-3 + (-492)\/(-528)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 4*k + 52, -2*c + 4*c + 43488*k + 35 = 43489*k for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-nine quarters of a decade?\nAnswer: 1470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2608.44 + -2524. Let v = f + -84. What is v rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2761, 5496, 8173, 10762, 13233, 15556, 17701, 19638?\n\"Answer: -5*v**3 + v**2 + 2767*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1187, -67 in descending order.\nAnswer: 1187, 5, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c*j**3 + c*j**2 + 29*c*j*o*v - 9*c*j*v - 5*c + 9*j**3*o + 16*j*v + 3*o*v wrt o.\nAnswer: 29*c*j*v + 9*j**3 + 3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l. Let o(x) be the first derivative of -3\/2*x**2 + 3 - 2*x. Suppose -3*s + 5 = 4*c, 0*c + 25 = c - 4*s. Give c*h(a) + o(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k**2 - 5*k + 21. Let o be s(7). Calculate the highest common factor of o and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 7*v**2 + 4*v - 3. Let i be (-2)\/(-8) + (-91)\/28. Let o be (0 - 0) + (-9 - i). Give y(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 3:02 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6 + -2 - (4 - -1)) + 1. Let n(g) be the third derivative of v*g - 1\/60*g**5 + 3*g**2 - 11\/6*g**3 + 0*g**4 + 0. What is n(0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 579, 1056, 1455, 1782, 2043, 2244?\n\"Answer: x**3 - 45*x**2 + 605*x + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -11*c + 15*c**2 + 7*c**2 + 9*c. Suppose 2*j = -4*r - 12, -3*r = -2*j - 2*r - 2. Let q be v(j). Calculate the highest common factor of q and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.7 - 4.6. Let h = t + -1.1. Let r = 1.9 - 1.7. Which is the closest to -2\/3? (a) h (b) 1\/10 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 209.\nAnswer: 1672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 27*d + 180. Give r(2).\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, v: 4, p: 3, d: 2}. What is prob of picking 1 d and 1 p?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 229868554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 185 + 2*b**2 - 76*b**3 - 78 - 107 to the form k*b + s*b**3 + g*b**2 + j and give s.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 647853249.\nAnswer: 3, 215951083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5*s**2 + 12 - 15*s - s**3 + 6*s + 4*s**2. Let p be k(8). What is the third derivative of 0*w**4 + w**2 + 3*w**p + 4*w**2 + 2*w**4 wrt w?\nAnswer: 120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 16 = -2*l, -32*l + 27*l + x + 5 = 0. Suppose 2*u = -3*p - 3, -4*p = 5*u - 2*u + 3. Solve -l = u*n - 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 24*j. Let l be 14\/4 + (-6)\/4. Let q(d) = 3*d**2 + d**2 - 6*d**2 + 3*d**l. What is w(q(g))?\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 9*w**2 + 4*w - 1. Let j be g(-4). Suppose -2555 - 11725 = -136*m. What is the greatest common divisor of j and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 78*j. Let t(m) = 9*m**2. Determine t(n(d)).\nAnswer: 54756*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 22540000 to the nearest one million.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 r when three letters picked without replacement from {r: 2, v: 8, o: 2}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 273 = 3. Which is bigger: 28 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.7406 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b\/((b*b**4)\/b))\/b))\/((b\/b**10*b)\/b)*(b**(1\/4))**(-39) assuming b is positive.\nAnswer: b**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 129 - 119 = -2*b, 4*w = 3*b - 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35325141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-5))\/((-132)\/(-330)*(-28)\/8).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.369969 rounded to one dp?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 6*f**2 - 5*f + 43. Let a(r) = 5*r**2 - 5*r + 37. Calculate -9*a(o) + 8*n(o).\nAnswer: 3*o**2 + 5*o + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/86667 and 32\/86667.\nAnswer: 86667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -b22 (base 13) to base 5\nAnswer: -30022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 l when two letters picked without replacement from ggilgggigzlgglgl.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-586590)\/(-4))\/((-6)\/(-8)). Let x be (1 + -93)*15*74\/(-4). Let s = x - d. Round s to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 23*w**5\/60 + w**4\/12 + w**3\/3 + 5*w**2. List the prime factors of a(-3).\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 + 6. Let s = o + 25.12. Let u = s + -0.1125. Round u to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 20*w**2 + 137*w - 69. Calculate u(11).\nAnswer: -2313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 - -482. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 7*d = -21*d + 37, -4*d = 4. Suppose -f + 29 = a, -3*a = -3*f - 0*f - 81. Suppose 0*z - z = -a. What is the remainder when z is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4910.5 - -4910. What is the second smallest value in -5, -3, x, 0.4, -2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(12\/16 + 0). Suppose b*g + 1 = 45. Let o = -9 + g. Solve -o*p - 3*q + 8 + 5 = 0, -26 = -5*p - q for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1175 and 70171?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 a factor of 199745337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.06038 - -967.44962. Let v = h + -980.9378. Let l = -13.4 - v. Round l to 3 decimal places.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -4592616\nAnswer: 4592616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/7 (b) 0.5 (c) -33 (d) -50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10.86 + -11. Let w be 2*(-2 - 237\/(-84) - 89\/((-36134)\/(-232))). What is the nearest to -1 in j, w, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(110))\/sqrt(10)*-5.\nAnswer: -20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -251*l**2*s**3 + l**2*s*v + 36*l*s**3 - 2*l*s*v - l*s - l*v wrt l.\nAnswer: -502*s**3 + 2*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12288 by 53935.\nAnswer: -12288\/53935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2 = -2*h + 20, 4*u + 12 = 4*h. Suppose 0 = 10*i - h*i - 147. What is the remainder when 88 is divided by i?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 1. Let i(y) = 2108*y - 4202. Let n be i(2). Let x(r) = -r - 1. Let w(a) = 49*a + 56. Let f(s) = w(s) + 42*x(s). Calculate n*z(d) - f(d).\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 2*s + 54, 4*j = -0*j - 5*s + 153. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5933578 divided by 238.\nAnswer: -24931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 - 76 = -4*q. Which is smaller: q or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5695212 is divided by 140?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1163 - -1159. What is the third biggest value in -5, o, 1\/2, -25?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 919836 and 613224.\nAnswer: 1839672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, o: 3, h: 3, b: 6, e: 3}. Give prob of picking 1 e and 1 h.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 46*y - 16*y.\nAnswer: 30*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49 and 329.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10bc57 (base 15) to base 4.\nAnswer: 3003020302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m = 4 + 28. Let l(r) = -r**3 + 4*r + 1685*r**2 + 1 - 4 - 1689*r**m. Let o(t) = -t**2 + 5*t - 5. Let p be o(5). Give l(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.0895 and 871.\nAnswer: -4432.9545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -11*m + 10*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -108716 - -1801?\nAnswer: -106815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 35\/(11 - 4) - 35. Let z = -4 + 8. Which is the second biggest value? (a) z (b) f (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*h - 2*h**2 + 53125*h**3 - 53095*h**3 - 97*h + 2*h**2.\nAnswer: 30*h**3 - 72*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7026534 to the power of 1\/2, to the nearest integer?\nAnswer: 2651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 53063 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -10*a + 90. Let x be y(8). Is x at least as big as 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*v - 2*h, -h = 4*v + v + 32. Let k = v + 8. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - j**2 - j - 6. Let v(y) = -2*y**2 + 21*y - 5. Let i be v(10). Suppose i*b - 8*b = 0. Calculate x(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3889069 tonnes in micrograms?\nAnswer: 388906900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 10*m + 4. Let j be i(10). Calculate the common denominator of 4\/3 and ((-51)\/27)\/(j\/48 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -8*n**3 + 9*n + 105. Let g(w) = -2*w**3 + 2*w + 26. What is 9*g(t) - 2*x(t)?\nAnswer: -2*t**3 + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -20*s + 5. Let h be n(-8). Let c be 1 + 6 + (-95)\/19. Let z(o) = 167 - 332 - 3*o**c + h. Let d(p) = -28*p. Give z(d(g)).\nAnswer: -2352*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.5 + -5. Which is the nearest to 1? (a) 0.4 (b) q (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 - -89. Suppose -478 = -16*d - 78. What is the remainder when m is divided by d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-24)*y)\/y*y*y*y**15*(y**(-12)\/y)**(14\/9))**(1\/14) assuming y is positive.\nAnswer: y**(-35\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23936 - 103*b**2 - 23936.\nAnswer: -103*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l**2 + 7*l - 5. Let x(m) = m**2 + m - 1. Give o(p) - 6*x(p).\nAnswer: -2*p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jtddjntmffnndndtmjjm. Give prob of sequence jtm.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3347308\/693 or -4831?\nAnswer: -4831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -55, -0.3, -0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -4. Which is the second biggest value? (a) -3\/7 (b) 2\/3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4772*m - 10029*m + 4866*m to the form s*m + w and give s.\nAnswer: -391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**3*y + 22*d**2*y + 2*d*y + d + 100*y wrt d?\nAnswer: 6*d*y + 44*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5353.512l to millilitres.\nAnswer: 5353512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 86 - 88. Let f(k) = 264998*k - 4. Let g be f(q). What is g rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 4*p**2 + 7*p - 1. Suppose -3*r - 4 + 1 = 0. What is the remainder when 34\/((2 - r) + -1) is divided by m(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -1\/2*f**4 + 0*f**2 + f**3 + 1\/20*f**5 + f + 0. Suppose -5*y = -2*o + 28, -o = 4*y + 8 + 4. Calculate l(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.837062 decades in months?\nAnswer: 1180.44744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*v**4\/19 + 520*v**3\/19 + 1842*v**2\/19 + 1320*v\/19 - 664\/19 = 0. Calculate v.\nAnswer: -83, -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -572491\/24 - -23848. Find the common denominator of (41\/45 - 0) + -1 and u.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 191 + -96. Suppose -93*i = -o*i + 11846. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3548*b*p**3 - 620*b*y**2 + 81*p**3*y**2 + 5898*y**2 + 3 wrt b?\nAnswer: -3548*p**3 - 620*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -706 and 30?\nAnswer: -21180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -27666354.\nAnswer: -1\/13833177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5799*g + 552. Let c(s) = -967*s + 93. Let u(y) = -6*a(y) + 34*c(y). What is the first derivative of u(j) wrt j?\nAnswer: 1916","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3714?\nAnswer: 2, 3, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + l = 8*t - 33, 4*l - 39 = -3*t. Suppose 7*y = t*y - 52. Calculate the highest common divisor of y and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 408*u - 3558. Let b be f(9). What is the highest common divisor of b and 570?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in -1.41, -3, -8\/5, -2\/13, -0.2, 1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 115 or 112?\nAnswer: 115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*(-4 - 60\/(-5)). Suppose 2*w + 224 = 9*w. Calculate the greatest common factor of w and i.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pffyzp. Give prob of picking 1 p and 1 f.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 0.06, -0.11, 2\/9?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.03 (b) -4 (c) 4 (d) 1\/4 (e) -288\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1345 - -1349. Let k = 12 - 6. What is the third derivative of -n**w + n**4 + 9*n**2 - 25*n**2 - 3*n**k wrt n?\nAnswer: -360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43298621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 571.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1058 and 63480?\nAnswer: 63480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) 0.5 (b) -2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**2 - 5*b**2 + 11*b**2)*(2*b**3 - 3*b + 6*b - 2*b).\nAnswer: 2*b**5 + b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 t when two letters picked without replacement from {t: 6, c: 2, x: 3, k: 1}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1033 divided by -2747.\nAnswer: -1033\/2747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 8*s - 6. What is the remainder when g(6) is divided by 45\/27 + ((-1)\/(-3) - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011110111011 + 101111011101110?\nAnswer: 1011100110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 + 9*v - 8.\nAnswer: -(v - 8)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114995373.\nAnswer: 3, 43, 751, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1)\/(l**10\/l))\/(l**(-7))**37 assuming l is positive.\nAnswer: l**249","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -4*c**3\/3 + 10526. Let m(p) = 1513*p. Determine g(m(y)).\nAnswer: -9156676*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 - 3*l - 1. Let v(x) = -6105*x**2 + 6105*x + 2035. Give -4070*k(y) - 2*v(y).\nAnswer: 4070*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (21\/9)\/((-2)\/(-6)). Suppose l - 3*m = 5*l + d, -23 = l + 5*m. Find r such that -r + r + l*r**4 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/34, 0.3, 558\/3925.\nAnswer: 1\/34, 558\/3925, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 1. Suppose -a*z + 41 - 21 = 0. Solve 2*f = z + 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37965008 - -220.312\nAnswer: -37964787.688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 13.3. Let g = 4.7 + o. Which is the closest to -2\/5? (a) 1\/4 (b) g (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 25 = -5*z, -2*z - 27 = -6*z - 3*v. What is the highest common factor of z and 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -42\/13 (b) -8 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 11*o**2 - 16*o - 2. Let j be w(2). Determine r, given that 2\/9*r**3 - 20\/9*r + 2\/9*r**j + 16\/9 = 0.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 6:15 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) 0.3 (c) -26 (d) 2\/11 (e) 3\/4 (f) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -15. Suppose -2*y - 4*y + 348 = s. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 10:05 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 34674846.83 to the nearest 1000.\nAnswer: 34675000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w + w - w - 4*w + 4*w + 3*w + (-w + w - 2*w)*(14 - 7 + 8).\nAnswer: -25*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o = -16*o - 22150. What is o rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 788*-9.3323.\nAnswer: -7353.8524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**5\/2 + 387*p**4\/2 - 903*p**3 - 3378*p**2 + 3636*p + 10416 = 0.\nAnswer: -2, 2, 7, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 287, 16.9, -118?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 7*q**2 + 2*q - 9. Suppose 4*c - 4*h = 0, 3 = 2*h - 5*h. Let w = c + 8. What are the prime factors of n(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.448 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-9)\/(r\/(r\/r**(2\/3))*r*r))**(2\/11)\/((r**(1\/4)\/r)**(18\/11)\/(r**(1\/3))**(-10)) assuming r is positive.\nAnswer: r**(-93\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -108 by -108.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 5:48 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-6))\/(3\/36). Suppose -d*m + 14 = 6. Find the second derivative of -3*y**2 + 0*y**2 - y**m - 2*y wrt y.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5)\/(50\/(-12)))\/(12\/40). Suppose -i + 0*i + 9 = -2*g, 45 = 5*i - r*g. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/340*-2*(-12)\/6\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/13)*d\/d**(-6))\/(d**(-1\/2)*d)**26 assuming d is positive.\nAnswer: d**(-76\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 2370.41602 to the nearest integer.\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31900 divided by 2900.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of a**3\/3 + 9*a**2\/2 - a + 25. Let r be p(-5). Is r at most 2\/109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -909, -13, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 583 and 2761.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1\/u)**(-42))**8 assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**3 - 200*b**2 + 4186*b - 25012 = 0. What is b?\nAnswer: 13, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 612 - 609. What is the nearest to 0 in f, -0.1, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27081\/155 + 87428783\/500340. Find the common denominator of -65\/18 and k.\nAnswer: 9684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 4. Let d(l) = l - 2. Let v be 11\/33 + (-46)\/(-6). Calculate the least common multiple of y and d(v).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16051.\nAnswer: 7, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 407279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2390, 5296, 9004, 13514, 18826, 24940?\n\"Answer: 401*j**2 + 1703*j + 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37\/5 or 17759?\nAnswer: -37\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.66 - -3.66. Let s = -1.95 + 2. Let i = s - 0.1. What is the second biggest value in i, n, -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 6384 - 6384 - 2*q**2. Let o(x) = -27*x. Calculate o(y(p)).\nAnswer: 54*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030407747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a microsecond in nanoseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s - 1. Suppose 3*t = 37 - 106. Is p(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -2) + 14 + (37 - (145 - 34))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1200, 1751, 2302, 2853, 3404, 3955?\nAnswer: 4506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -48 divided by 16\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 (base 14) in base 5?\nAnswer: -344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of m**4\/48 + 5*m**3\/2 - 31*m**2\/2 - 263*m + 3. Factor l(s).\nAnswer: (s - 2)*(s + 62)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361015673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/1264495 and 37\/2023192.\nAnswer: 10115960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62148, -62220, -62292, -62364?\nAnswer: -62436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/((sqrt(336)\/sqrt(7))\/sqrt(6)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -10 (b) -0.3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 + 2 - 4*a**2 - a**2.\nAnswer: -7*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u + 2. Let g be s(0). Suppose 0 = -g*c + 4. Suppose 0 = 3*k + 3*o - 27, 0 = -4*o - c - 10. Calculate the remainder when 34 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.12*10093124\nAnswer: -1211174.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -l**9\/3024 - l**8\/1680 + 5*l**3\/6 + 8*l**2. Let n(j) be the first derivative of s(j). Determine q so that n(q) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -10. Suppose 4*z + 4 = -w. Let l(i) = i**3 + 3*i**2 + i. Let a be l(-1). Sort a, -4, z in ascending order.\nAnswer: -4, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -54 - (341 + -321)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -62 + 198. Suppose -u - z = -5*u. Let g = u - 21. Is g a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14819536 to the power of 1\/2, to the nearest integer?\nAnswer: 3850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8336131?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*s - 54 = -171*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7134 is divided by 106.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -907, -3615, -8125, -14437, -22551?\n\"Answer: -901*n**2 - 5*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 552440358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 33 = 47. Let i = 21\/16 - 347\/240. What is the closest to -1\/4 in r, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0726, 0.4, 0.5, 89, 5 in descending order.\nAnswer: 89, 5, 0.5, 0.4, 0.0726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.286269 to 1 dp.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -3*f + 12. Let w be 2\/3 - 21070\/(-21). Suppose f*u = 0, u = y - 5*y + w. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y**4 - 3*y**3 + 1 - 153*y**2 + 0*y**3 + 146*y**2 to the form o + b*y**2 + s*y**4 + n*y + h*y**3 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28575 and 762.\nAnswer: 57150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*y - x - 133, 0 = -4*y - 4*x + 272. Does 7 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42876\/3573*(-11)\/12?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -224 + 52436.61576?\nAnswer: 52212.61576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31797738 and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + (5 - 0 - (3 - 0 - -10))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 116 = -4*b. Let u = b + 35. Suppose 2*m + 4*a + u = 5*m, 0 = 5*a - 15. What is the smallest common multiple of m and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55532173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/7)\/(n\/(n*n*n**(-5)))*(n\/(n**(-2\/3)\/n))\/(n*(n**(4\/11)*n)\/n) assuming n is positive.\nAnswer: n**(-557\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 606546 and 876122.\nAnswer: 7885098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 7*b**2 + 12*b + 5. Let m(r) = 7*r**2 + 11*r + 3. Let t(z) = -3*m(z) + 4*u(z). Let k(n) = 3*n**2 + 7*n + 5. Give -9*k(i) + 4*t(i).\nAnswer: i**2 - 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*z - 36158 = 407580 + 4666. Calculate the highest common divisor of 316 and z.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45949349?\nAnswer: 743, 61843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 3815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1655)\/(-993) - 5\/150*56\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -27*q**3 - 264*q + 290. Differentiate h(d) wrt d.\nAnswer: -162*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 138 + -26. Let h = 111 - s. Which is the closest to 10? (a) h (b) -1\/6 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -114 * -0.36\nAnswer: 41.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 211028483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.536 years in decades?\nAnswer: 4.0536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 14. Let n be (-2)\/(-6)*(-3 - -9). Suppose -n = -2*v + h. Solve f - v = -f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-24)\/(-28))\/((1 - -2)\/21). Solve -q = 4, 2*g + 4*q + o = 5*q for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (1\/(-4))\/((-12)\/1296) and 15?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/1209 and 89\/25879668.\nAnswer: 336435684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 20 = 5*l, -4*w - 22 + 0 = 2*l. Let a(c) = -c. Let t(d) = -d**2 + 4*d - 1. Determine w*a(z) - t(z).\nAnswer: z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -21*h**4 - 1281*h**2 + 5553*h. Let j(y) = 48*y**4 + 2563*y**2 - 11106*y. Let n(w) = -7*i(w) - 3*j(w). Find the second derivative of n(z) wrt z.\nAnswer: 36*z**2 + 2556","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 + -619\/23. Suppose r + 3*r + 5*y = -25, -2*r - 20 = 4*y. Suppose -3*o - 2*f = 2, r*f - 3 = 4*o + 3*f. Which is smaller: c or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 l when two letters picked without replacement from xllhkxs?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.02 - 0.02. Let r = 5086\/55 + -1026\/11. What is the second biggest value in -2.5, -5, a, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.037555 and 299701.\nAnswer: 299700.962445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**3 + 5*i - 5*i + (-2*i + 4*i + 0*i)*(59*i - 225*i**2 + 2 - 224*i**2 + 470*i**2).\nAnswer: 39*i**3 + 118*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -d**3\/6 - 5*d. Let c = 1 + -2. Let x be u(c). Put x, 3, 2 in ascending order.\nAnswer: x, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 402? (a) 3 (b) 0.5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j - 3*j + 5*j + j + j + 2*j + (-3*j + 0*j + 4*j)*(-4 - 3 + 5) - j + 2*j + j + (-3 + 4 - 2)*(-3*j + 3*j - j) + 0*j - 5*j + 2*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1503*j**3 - 35*j**2 - 1502*j**3 + 35*j**2.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/273630 and -37\/42330561.\nAnswer: 423305610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) 3 (b) 4\/165 (c) 2\/17 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -140656, -140653, -140648, -140641, -140632, -140621, -140608?\nAnswer: -140593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 17044706, 68178809, 153402314, 272715221?\n\"Answer: 17044701*s**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14161 and 77741.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.27, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 10:08 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -27*q - 15 - 12\/5*q**3 - 72\/5*q**2 = 0.\nAnswer: -5\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-400)\/(-21000))\/(1\/(-7))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.7074546 decades?\nAnswer: 0.007074546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 143505983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1165294 by 37.\nAnswer: 1165294\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of 86*m**7\/105 - 110*m**3\/3 + 214*m**2. Differentiate w(f) wrt f.\nAnswer: 688*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*s**2 - 73*s**2 - 10*s + 39*s**2 - 6*s - 19*s**2 to the form t*s + w*s**2 + z and give t.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92152, 92151, 92150, 92149, 92148?\nAnswer: 92147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -165\/74707?\nAnswer: -165\/74707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, t: 17}. What is prob of sequence too?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 204.646336 rounded to zero dps?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - x - x)*(0*x + 9*x - 3*x).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 14*f - 59. Let a(r) = -5*r + 19. Let v(k) = -11*a(k) - 4*j(k). Let t be v(16). What is the highest common divisor of t and 176?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + 4 - (-5 - (-3 - (9 + -3))).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1161683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 13*h**2 + 2*h. Let f(a) = -a**2 + 3*a. Let i(l) = d(l) + 5*f(l). Let t be i(-4). Calculate the greatest common factor of 510 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27771034?\nAnswer: 2, 43, 322919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 4:23 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4310 in 1\/5, -3, -0.1, -47?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 110 = 3*d. Let q = -60 - -117. Suppose o - 31 = q. Calculate the highest common divisor of d and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -2*i + 1, 0 = 4*x + 2*i - 38. Let q be (48\/(-20))\/((-2)\/x). What is the highest common factor of q and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3688744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 12*h**2 + 4*h + 10. Determine d(-12).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156 = -5*u - 2*r + 131, -3*u = 10*r - 29 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 233 = -439. Let s(y) = 2*y**2 - 19*y - 13. What is the remainder when o is divided by s(14)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 29 - 33 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12257055 (base 10) in base 12?\nAnswer: -4131253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 3. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, n: 2, g: 1, d: 1, u: 1}. What is prob of sequence dbbn?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1151195?\nAnswer: 5, 230239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/3*(-27)\/(-18). Let d(v) = -v - 7. Calculate d(t).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 4\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (45\/20)\/(((-66)\/88)\/((-1)\/4))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)*3)\/sqrt(8))**2 - (sqrt(65)\/sqrt(80) - sqrt(13)).\nAnswer: 3*sqrt(13)\/4 + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 70 = -14*i - 13 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 1627021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9542929.\nAnswer: 11, 37, 23447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*f - 75028 = 12040, 5*s = -5*f + 87060. What is the ten thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y + 10. Let h be x(6). Suppose k = -3, 4*p + h*k = 67 + 49. What is the remainder when p is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a tonne in kilograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 11687*g**2. Let v(j) = 10*j**2. What is k(v(r))?\nAnswer: 1168700*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (666 - 652) + 7\/(7\/(-10)). Let r be 2 + -2 + 1 - 0. Put r, -1, -2, z in descending order.\nAnswer: z, r, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18414\/9801)\/((-7)\/(-231)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1259*l**5*q - 9*l**3*q*t - 3*l**2*q + 7*l**2*t + 2*l*q - 2*l - 584*q*t - 3 wrt l?\nAnswer: 75540*l**2*q - 54*q*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 + -2. Let g = k - 52. Let y = 51 + g. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.36067 rounded to two dps?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -66493508 divided by -66493508?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 0 - 10. Suppose -7*q + 2341 - 339 = 0. Suppose -322 = -4*d + y*c, 4*d = -3*c + 21 + q. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 14 = 5*i. Suppose 3*r - i = 4*y - 28, y - 12 = -5*r. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nui when three letters picked without replacement from eeeneizeueee?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 11*l + 3. Let f(h) = 5*h + 1. Let o = -24 - -27. Give o*m(x) - 7*f(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + b - 1. Let h(a) = -14*a**3 + 2*a**2 - 10*a + 10. What is h(p) + 10*q(p)?\nAnswer: -4*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/12 - 420\/72. Let o(d) = d**2 + 3*d - 3. Let w(j) = -2*j**2 - 5*j + 5. Let c be (-32)\/3 + (-4)\/(-6). Give c*o(u) + n*w(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1676125, -1675977, -1675829, -1675681?\n\"Answer: 148*r - 1676273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 78\/36 + (-1)\/6. Is -6*(-75)\/c - -1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of 3*x**3\/2 - 807*x**2 - 2364*x. What is the first derivative of s(k) wrt k?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3020 (base 5) to base 10.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -2*v + 72. Let i = v + -80. Calculate the common denominator of 187\/30 and 19\/(-22)*20\/i*1.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 23 = p, 5*p + 4*b = 2*b - 11. Let l = -6 + 5. Put 12, p, l in decreasing order.\nAnswer: 12, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**3 - p**2 - 2*p - 1. Let i be a(-1). Find the second derivative of -52 - 10*r + 10*r**i + 23*r**2 + 52 wrt r.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 651 + 384 = -92*j + 115. Sort 0, j, 43 in increasing order.\nAnswer: j, 0, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 601*h + 579*h - 1181*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*s**2*v**2 + 348*s**2*v - s*v + 2525*v**2 with respect to s.\nAnswer: 4*s*v**2 + 696*s*v - v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of g**2 + 55*g + 10. Let w be m(-17). Solve -c = -w + 17 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 21, 7, -2\/11, -4.\nAnswer: -14, -4, -2\/11, 7, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5075 - 5049. Solve 5*s + u = 29, w*s - 21*s + 2*u - 33 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1580\/(-1738) - (-18345)\/33 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 326 + -256. Calculate the greatest common divisor of a and 770.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 + 101\/4. Suppose -5*q - r - 7 = -0, -5*r = -3*q + 7. What is the nearest to 0 in k, 0.5, q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 495016*j - 495551*j = 21400 for j.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -6*k. Let g(w) = 4*w**2 - 3*w + 3. Let x(h) = -h**2 - 7*h - 9. Let c be x(-6). Let b(i) = 5*i**2 - 4*i + 4. Let r(v) = c*b(v) + 4*g(v). Give r(s(u)).\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.3, 0, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2262223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3276, -3279, -3282, -3285?\nAnswer: -3288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1163 (base 8) to base 5\nAnswer: 10002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2418 and 14880?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 0. Let z = d + 0.1. Let l = -0.4 + 3.4. What is the closest to z in -5, 1\/5, l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 v when three letters picked without replacement from {k: 2, r: 5, v: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/8)\/((-27)\/(-18))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**4 + 11*m**3 - 15*m**2 + 14*m + 3. Let b(z) = z**4 - z**3 + z**2 - 4*z + 1. Let s(l) = -5*b(l) - h(l). Find c such that s(c) = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1057, -2117, -3189, -4273, -5369, -6477, -7597?\n\"Answer: -6*u**2 - 1042*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 + 59. Let v = u + 19. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 304 + -303.6. Which is the biggest value? (a) -2 (b) 5\/6 (c) -3 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 2*y**2 + 15*y - 33. What is g(2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (5 - -3)\/(-4). Suppose -3*b - f*l - 4 = 0, 0 = -3*b + b + l + 2. Suppose 0 = 3*p - v - 716, 3*p = -3*v - b*v + 720. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/2 and 4\/83.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -74050 divided by -17\nAnswer: 74050\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*4117 - (-5 + (-22)\/(-11)). Suppose u = 4*s - q, s + 9*q - 10*q - 1030 = 0. What is the hundreds digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2574150 and 52662.\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + j + 14. Let f be z(0). Suppose 3*u = u + 2, 0 = -5*l + 5*u + 135. Let w be (12\/f)\/((-4)\/l). Let c(k) = -3*k - 7. Give c(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -99 - 137. Let f = 61 + a. Factor 3\/2*h**3 + 0 + 2*h**f + 2\/3*h.\nAnswer: h*(3*h + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1390.91 rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 11:41 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 135 - 132. Which is greater: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -1, 12, 1621 in descending order.\nAnswer: 1621, 12, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1927616 to the power of 1\/2, to the nearest integer?\nAnswer: 1388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -27906, -27918, -27932, -27948, -27966, -27986?\n\"Answer: -m**2 - 9*m - 27896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + 8\/(16\/10). Let m(v) = -43*v**2 + 77*v**2 - 40*v**t. Let c(x) = 3*x - 16. Give c(m(q)).\nAnswer: -18*q**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2331 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 1 = 3. Suppose u - l = -t - 6, 4*u = 0. Let n = -2 - 3. Sort t, 2, n in descending order.\nAnswer: 2, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2839370?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -91949825 by 1.\nAnswer: -91949825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.691 rounded to zero dps?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 + -14. Let g(d) = 4*d**3 + d**2 - 2*d + 1. Let v be g(1). Calculate the greatest common factor of v and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -972701, -972719, -972747, -972785, -972833, -972891?\nAnswer: -972959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2*sqrt(20) - sqrt(20)))\/sqrt(10).\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32416 + 32534.0105. Let m = 118 - z. What is m rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25768 bigger than 25743?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - n + 113, -3*o + 5*n - 537 = -200. Let d be 4\/8*(-2 - -6). Let t be 3\/(o\/(-80)) - d. What is the second biggest value in 0.2, 0.4, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + sqrt(190)*3*6 - -6*sqrt(190)*2)\/(((sqrt(90) - (sqrt(90) - -1*sqrt(90)*-1) - sqrt(90)) + sqrt(90))\/(3*sqrt(144))).\nAnswer: 372*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*w**2 + 2*w**3 - 14*w**2)*(w - 4*w + 2 + 2*w)*(4 + 2 - 5).\nAnswer: -2*w**4 + 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/6, 3\/5, 0.4, -3, 0.2, -2\/201?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -62*q - 5. Let s be b(-11). Let o = s - 175. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.8211mg to micrograms.\nAnswer: 29821.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -24 - -2*1572\/132\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3053440, 3053438, 3053436?\nAnswer: 3053434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16.9, 10, -19\/7 in increasing order.\nAnswer: -19\/7, 10, 16.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 7, -17, -61, -131?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-12) + (122\/(-3))\/(-1). Let j be 44 - (-1 + -1 + 3). Let p = j - y. Calculate the remainder when 3 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nann when four letters picked without replacement from arrarnnanaaaan?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 331*a - 14. Let t(q) = 36*q + 3. What is k(t(m))?\nAnswer: 11916*m + 979","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + -3 - 1) + 1. Let g = -227\/35 - -31\/5. Which is the nearest to 1\/3? (a) i (b) g (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5}. Give prob of sequence ff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1081.\nAnswer: 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03448868 rounded to five decimal places?\nAnswer: -0.03449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1083 is divided by 139?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -36 - e1?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.33, 26, 1\/46 in decreasing order.\nAnswer: 26, 0.33, 1\/46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 5 - 19. Let j be ((-6)\/v - 7) + (-54)\/(-15). What is the biggest value in 0.5, j, -3\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6180819?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/12)\/((-10 - (-28)\/(-21)) + 11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/5, -9\/4, -3, 396?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-18)\/(-30))\/((-2)\/(-10)). Suppose 261 = 6*r - r + 3*q, 3*q = o*r - 147. Suppose -5*t + r = -19. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -36 and -358071.\nAnswer: -358107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 + 35. Suppose 4*s - 17 - 12 = 3*z, 10 = j*s + 5*z. Solve -s*b = -4*b - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107695 is divided by 1895?\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.143 * -35.4\nAnswer: -5.0622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 145, -0.2, 2\/11, -11 in decreasing order.\nAnswer: 145, 0.4, 2\/11, -0.2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 27, -10 in decreasing order.\nAnswer: 27, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -7. Let t = -1 - h. Let o = -2.5 + 3. Which is the third biggest value? (a) t (b) 0 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 999 + 124 = 0. Calculate the highest common factor of 25 and c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/7 - 36400\/(-28665)\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.16 - -0.16. Let w = 5789.0650232 + -5795.065. Let i = l - w. Round i to six dps.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*4070.67.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-1\/4)*z)\/z)**(-1\/23))**32*(z*(z\/(z*z**(1\/4)*z)*z)\/z*z)**(13\/6)\/((z*(z\/(z*z**(1\/2)))\/z)\/(z**(2\/19)*z)) assuming z is positive.\nAnswer: z**(12509\/3496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7272\/(-18584)*138\/9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*a + 7*a + 16*a)*(-a + a + a).\nAnswer: 43*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 7*r**2 - 4*r - 1. Let t be 5\/(10\/12) - 3. Is 14 a factor of w(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -109, -133, -41, 239, 779, 1651, 2927?\nAnswer: 4679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xkkxskkks. Give prob of sequence kxx.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v + l + 17, v - 13 = -0*v + 2*l for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 9:03 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/5)\/((-9)\/15). Let m = 7738 + -7718. What is the fourth smallest value in x, -3, -5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/684 and -127\/524124.\nAnswer: 9958356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1749346, -3498683, -5248020, -6997357, -8746694?\n\"Answer: -1749337*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1610 and 7056009?\nAnswer: 493920630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15249 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2773 - 2760. What is the highest common divisor of p and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3*-382*2\/12 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mizdiriiidridrmzmmzi. Give prob of sequence mzd.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 728346802 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -196*p**2 - 2747*p - 41. Calculate u(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4019.016118 rounded to the nearest one hundred?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j - 20 = -84 - 68 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 8. Let g = f + -6. Suppose -3*y + g*q = -23, 0 = -4*y + 3*q + 2*q + 40. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -y**5\/40 - y**4\/6 + y**3\/2 - 6*y. Let v(x) be the second derivative of q(x). Find the first derivative of v(f) wrt f.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-60)\/(-180)*(13 + 0 + -1). Solve -2*d - 3*i = -6*i - 17, 0 = -n*i - 20 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1169 * 0.08.\nAnswer: -93.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-34) + 17347428\/491436 + (0 - 33)?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 94 + -96. Let l be (-3)\/z*(-86 - -18). Let t = l + 103. Is -7 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 4*n - 2. Calculate u(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(6\/7)\/f*(f\/(f*(f*(f**(1\/4)*f)\/f)\/f))\/f*f**8\/(f\/f**(-3)) assuming f is positive.\nAnswer: f**(73\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2. Let d(g) = -5*g**2. Suppose 38*y - 65*y + 702 = 0. Let x(z) = z**2 - 3*z + 6. Let a be x(3). What is a*d(n) + y*o(n)?\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z\/z**(-1\/2))\/z)*z**(2\/25)\/z*z)\/(z**5*z*z**40*z) assuming z is positive.\nAnswer: z**(-2321\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -135a?\nAnswer: -1362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*d - 12*d - 13*d)*(-3 - 2 + 7) + 4*d - 2 + d - 3*d + (-5 + 4 + 2)*(-4*d + 0*d + 3*d).\nAnswer: 15*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -799 times 0.00591?\nAnswer: -4.72209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-1) + 65\/(-5))\/1. Let t be ((-1)\/(-5) + 7\/j)*8. Let z(b) = -b**3 - 3*b**2 + 3*b - 1. Give z(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 843114.6g?\nAnswer: 843.1146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -6*u**3 - 3*u**2 - u + 2. Let a be q(-3). Let j be ((-39)\/(-26))\/(2\/a). What is the highest common divisor of 35 and j?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135496694 is divided by 33874168.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a day in hours?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - -2)\/((-4)\/8). Let y(s) = j - 2*s - 4 + 3*s. Let n(b) = 6*b. Calculate y(n(t)).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 6:24 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1256450560.\nAnswer: 2, 5, 173, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 10 = 2*j, -5*j + 8 = -4*v + 3*v. Let w be (-212)\/(-18) - (48\/27 - j). What is the greatest common factor of w and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/((-13)\/(26\/10)). Are j and 209 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -5*a - 8. Let w(z) = -z**3 + 7*z**2 - 6*z + 6. Let t be w(6). Let r(f) = 79083 + f - 79100 - 3*f - 9*f. Determine t*r(l) - 13*b(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.024 + -7.976. Which is the second smallest value? (a) -5 (b) 1\/13 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4068011461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 376 and 253706?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 5. Let k = 3491 + -3476. Suppose -h*g = -k - 33. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + -1)*(-10)\/(-180).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 278311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-3 - (-5 + 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4\/5 + 708*w**3 + 14112*w**2\/5.\nAnswer: 3*w**2*(w + 4)*(w + 1176)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5 - 1 = 0. Let b(y) be the third derivative of y**4\/8 + y**3\/6 + 4*y**2. Let a be b(d). Solve a*u = 2*u - 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17164 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 3*k. Let u be m(4). Suppose 211 = 3*f + 2*q, 0*f - 2*q = -f + 73. Suppose f = 2*t + u*l + l, t = 5*l + 43. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 1. Let i(y) = -5*y + 3. Suppose 3*q = -25 + 28. Let p(f) = q*i(f) - l(f). Let z(n) = -3*n. Determine p(z(u)).\nAnswer: 15*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -120 - -128. What is the remainder when 133 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1101995 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*u - 85*u + 89*u - 288*u.\nAnswer: -203*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.465242005 minus -0.404?\nAnswer: -11.061242005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 16 = 0, 0*c + 4*s + 9 = 5*c. Let n(j) = j**3 - 19*j**2 + j - 5. Let i be n(19). Solve -25 = -c*o + r - 2, 2*r + i = 2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 416, 229, -216, -1045, -2384, -4359, -7096?\nAnswer: -10721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 753 is divided by 84.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.2622 + -1.3622. What is the nearest to -7 in -0.4, a, -1\/33, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 4\/21*v**2 + 4\/21 + 10\/21*v = 0.\nAnswer: -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 47426\nAnswer: 2\/23713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8264*m**3*q*r + 40*m**3*r**2 + 16*m**3*r + m**2*r**3 - 18*m*q + 2*m + 20*q*r**3 + 4*r**3 + r**2 with respect to q.\nAnswer: -8264*m**3*r - 18*m + 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-288792)\/(-3820)*(-35)\/(-42)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 2*k**2 + k + 1. Let v be h(2). Solve v*t = 9, 4*w + 1 = -2*t + t for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 11*b - 19. Suppose 4*c - 20 = -0*c, 4*w + 4*c - 80 = 0. Let p be v(w). Let f = -76 + p. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 12844 - 12853. Solve t + 27 = -b + 26, 27 = 3*b - q*t for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) -2\/125 (c) -80893\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47036292*a**2*l**3 - 3*a*l**3 - 28*a*l + a + 3*l + 626 wrt a.\nAnswer: 94072584*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35453*k**2 + 70194*k**2 - 35333*k**2.\nAnswer: -592*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 1597189.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*h + 681 + 120 = 1191 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/(95\/(-6)))\/(35\/(-25))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 3005510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184 = -3*c - 4*q - 279, 4*c = -q - 40 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4918\/119 or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 - 356 = -13*k. Let p be 13\/(-26) - (-101)\/2. What is the highest common divisor of p and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1843310740 a multiple of 241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -871734 (b) -1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -6*a**3 + a**2 + 4*a - 4. Let i(v) = v**3 - v**2 + 1. Let t(f) = -5*i(f) - n(f). Let b(p) = p**3 - 11*p**2 + 31*p - 11. Let u be b(6). What is t(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5203 or 5201?\nAnswer: 5201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 17. What is the remainder when (y\/(-9))\/((-1)\/(-243)) is divided by 2 + (0 + 1 - -25)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w**2 + 4*w. Let g(l) = -4*l**2 + 3*l + 1. Suppose -2*j = 65 - 61. What is j*g(x) + 3*m(x)?\nAnswer: -x**2 + 6*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 2*r**2 - 4*r - 4. Calculate the remainder when 185 is divided by b(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 16583 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 5*d + 27 - 4, 3*n = -3*d - 33. Let s = n + 31. Suppose r + 5*x = s, 4*r - 15 = r - 2*x. Solve r = 5*y - 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -47\nAnswer: -7\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 594550 is divided by 473.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -173 + 176. Solve -4 = -i*b + 5*o + 8, -1 = 4*b - o for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -23. Let h = 10 + l. Put -0.1, -4, h in decreasing order.\nAnswer: h, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -6933 and -0.40681978523.\nAnswer: -6933.40681978523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 192 = -5*w. Suppose -5*d - w + 363 = 0. What is the greatest common factor of 7 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2470986784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -7088 greater than -7145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2698 - 745. Let o = p + -834. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q**2 + 35*q + 4. Calculate x(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8793 divided by 4?\nAnswer: 8793\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 42 + 4070?\nAnswer: 4132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 7*b**2 + 6*b + 39. Let x be p(-7). Let m be ((-13)\/x)\/(4*6\/1224). Do 220 and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -1. Let q(r) = -1. Let x(u) = -3*p(u) + 4*q(u). Let t(i) = -i - 5. Suppose 2*l - 4*a - 33 = a, -5*a - 42 = -3*l. Give l*x(d) - 2*t(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/5 in 4, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u + 0*u + u)*(12*u + u - 2*u) + (-3 - 2*u + 3)*(1 + 0 - 2)*(-u - 2*u + 7*u) as d*u**2 + v + z*u and give d.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 5*c - 4. Let p be k(6). Let y(w) = w**3 + 9*w**2 - 9*w + 14. Let b be y(p). Solve -a - b = a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 g when two letters picked without replacement from {g: 14, y: 5, r: 1}?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19371786 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((210\/(-40))\/21)\/((-2*1)\/(-88))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/598 and -101\/6.\nAnswer: 1794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 5*b**2 - 2*b - 7. Let v = 1 - 6. Let a be w(v). Let y = -3 + a. Solve -1 = j - 2*l, -4*l + y*l = 4*j + 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l**3 + 52*l**2 - 23*l + 137. Give y(17).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 5*b. Let g(y) = 10*y + 1. What is 2*g(c) - 5*r(c)?\nAnswer: -5*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.43244 + 3.529. What is i rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -7. Suppose -3*c - 15 = -d*s + 114, 2*s - 94 = -2*c. Is s a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*(w**(6\/5)\/w)\/w))**(-1\/3))**(5\/12) assuming w is positive.\nAnswer: w**(-1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 58091897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m**3 - 11*m**2 + 3*m - 3. Does 11 divide o(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2. Let p be 133\/(1 + 2 + -2). Let r(z) = p - 133 + z. Calculate r(l(x)).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -28025 + -1?\nAnswer: -28026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 11*q**5\/5 - 11*q**3\/3 + 6. Find the third derivative of b(p) wrt p.\nAnswer: 264*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*d**2*h*o + 3*d**2*h - 14*d**2*o - 12*h*o + 21*h - 2*o - 6 wrt d.\nAnswer: -10*d*h*o + 6*d*h - 28*d*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 307825, 615642, 923449, 1231246, 1539033, 1846810?\n\"Answer: -5*g**2 + 307832*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 = -3*z - 2*y - 69, 5*y + 27 = z. Suppose 6*c - 4*c = -x + z, 5*x + c - 140 = 0. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8*(3\/2 + -1). Let p = 4.4 - 4. Let z = 19061.8 - 19062. Put p, k, -4, z in ascending order.\nAnswer: -4, z, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 514210.\nAnswer: 2, 5, 51421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/3, -0.09, -1971, -0.04, 3\/5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64736*i + 129332*i - 64636*i.\nAnswer: -40*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 61\/4 of a day?\nAnswer: 21960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + -2)\/(1\/8). Let a(d) = 0*d + d + 1260 - 1268. Let j be a(u). Are 2\/27 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3 = 0, 0*r - 3*r - 5 = 2*s. Let n = 349 - 348. Put s, 4, n in ascending order.\nAnswer: s, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zhhzhzzhzzzzzzmzhhm. What is prob of picking 3 z?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = d + 2*d - 67, 3*h = 4*d + 175. Suppose -3*t = 3*p - 150, 93 = 3*t + 4*p - h. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-48)\/(-20)*5\/2. What is the remainder when 15 is divided by (-1 + (c - 3))*4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 16) to base 12.\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -96 + 101. Let k(q) = -q - 1. Let m be k(-7). Let l(r) = r - 9. Let h be l(m). What is the second biggest value in -3\/2, h, s?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 194277 and 744.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 3*n**2 - 2*n + 3. Let v(y) = 5*y - 150 - 79 + 76. Let l be v(31). Give h(l).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 12*g**2 + 86*g + 652. Let k be f(-15). Solve -144 + 181 = k*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -3*k - 80, -5*s - 357*k + 127 = -354*k for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 75*-1*-8*(-14)\/(-336)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4641039?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -4*w + 87591, 31 = -3*u + 40. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 4, 0.248, 2\/45?\nAnswer: 0.248","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 297236219 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(4)\/sqrt(2) + (sqrt(2) + sqrt(72))*-4 - ((-2 + sqrt(96)\/sqrt(3))**2 + 4))*-6.\nAnswer: 66*sqrt(2) + 234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r - 8. Let t be v(6). Let n be -1 - t - 1*7. Is (-214)\/n - (-8)\/(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1994.581 rounded to the nearest 100?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2441899604 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35351*t**6 - 2*t**3 - 5762*t**2 - 1.\nAnswer: 4242120*t**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from epytqqney. What is prob of picking 2 e and 2 y?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 237, 482, 741, 1020, 1325, 1662?\nAnswer: 2037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.11062 micrometers to nanometers.\nAnswer: 23110.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1122 and 2346?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -99*v**2 - 40*v + 2. Let c(j) = 49*j**2 + 19*j - 1. Let b(l) = 5*c(l) + 2*w(l). Is b(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 594 is divided by 194.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and 18.5.\nAnswer: 23.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 390 <= 409?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (-74)\/(-4) + (4 - 44\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 14010004 = 4*f, -2*v - 11879254 - 16140748 = 2*f. Round v to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 2.7. Let a = 5 - 4.7. Let f = a - g. Which is smaller: f or 2\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7818753 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by -3697.\nAnswer: -16\/3697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbby when four letters picked without replacement from {k: 3, y: 1, b: 5}.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 62827\/22 + -2854. Let t = i + -443\/11. Find the common denominator of t and -109\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -4*z - 5*a, z - 4*a = 3*z + 14. Suppose z = -0*q + q. Solve q*c + 4*p = 4*c - 6, c + 2 = -4*p for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 594 and 7295310.\nAnswer: 21885930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -77\/106 - 4361\/636. Find the common denominator of 23\/108 and p.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -322\/6196711?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -6\/7, 3\/7, 46, 1\/3, -1, -15?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1916450 and 153316.\nAnswer: 3832900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 3. Let i = 0 + w. Let n be -1 + (i - 1) - -1. Let y(f) = -f**2 + f. What is y(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (1770\/(-4))\/((30\/(-15))\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-17)\/(-4) + (-815)\/652. Let j be (-6*3)\/(0 + -1). What is the second derivative of -j*i**3 + 5*i + 19*i**u + 11*i wrt i?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide 3291 by -11.\nAnswer: -3291\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + (-4)\/(-2) - 43. What is the units digit of o\/(-30)*292\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45260731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*z**4 + z**4 - z**3 - 4*z**4)*(3 + 2 + 2) to n*z**4 + k*z**3 + o*z**2 + j*z + m and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 142 - -10014?\nAnswer: 10211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 2 + 3)*(-4 - m + 4) + m - 2*m - 2*m to w*m + z and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-5))\/(56\/(-35))*-6.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 6*f + 5. Let m be k(-7). Let y = m + 6. Solve 0 = y*q + 25 - 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence no when two letters picked without replacement from diiiodosdoidoonliloo.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16016 and 11431.\nAnswer: 26154128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69886 is divided by 91?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 + 32*m**2 - 10*m**2 + 4*m**2 - 2*m**3.\nAnswer: -2*m**3 + 28*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*((m\/m**(1\/19))\/m)\/m*m**(-3)*m**(-13\/3)*m**18 assuming m is positive.\nAnswer: m**(605\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 16. Let v = 0.015 + -0.415. Which is the third smallest value? (a) p (b) v (c) 1 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6434 is divided by 111?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 203*f**2 + 3*f + 11. What is the tens digit of a(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 571 = 5*q + 2*l, 6*q - l = q + 577. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-72)\/(-42))\/6)\/(2\/14). Put -4, -3, -46, m in increasing order.\nAnswer: -46, -4, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 0*d**3 + d + 6 - 289\/2*d**2 + 35\/12*d**4. What is the first derivative of j(a) wrt a?\nAnswer: 70*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 53363 and 53361 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 - 22204*f - 2*f**3 + 22204*f - f**2 in the form q + a*f**3 + i*f**2 + o*f and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 134190 and 4658985?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l = -58*l + 357 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxxxzz. What is prob of sequence xx?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 10:06 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 411117 = -10*c + 411537 for c.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15*(3 + (-44)\/14) and -10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -12, 3*j - 381 = 3*t - 6*t. What is the tens digit of 3\/2*j\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7*15\/(-385) - (-78269)\/913. Let m(b) = b**3 + 9*b**2 + 5*b + 8. Let a be m(-6). What is the highest common factor of a and f?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/8*13\/((-156)\/(-3))*16\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 185, 1429, 4797, 11351, 22153, 38265, 60749?\nAnswer: 90667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10551146 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 + -0.7. Let h = -0.5000008 - b. Round h to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 4:38 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from kkkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1188608?\nAnswer: 2, 4643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1040*h - 28*h**2 - 1040*h.\nAnswer: -28*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*k)*(-k**2 + k**2 - 2*k**3 - 3*k**3 + 3*k**3 + 2*k**3 + (2*k - 4*k + k)*(3*k**2 - 2*k**2 + 0*k**2)).\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 5*a**2 - 2*a + 4. Suppose 3*w - 15 = -3*i, 3*i - 7 = 3*w - 22. What is v(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -29667400, -59334791, -89002182?\n\"Answer: -29667391*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 24*2709\/756 - (-2 + -1 - -20)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30848 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/6)\/((-155)\/(-75) + -2). Solve 0 = k*p - 0*p - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 748?\nAnswer: 74c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 203960812 to the nearest integer?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 17*a + 59. Determine s(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11626 - 11622. Solve j + 1 = q*z + 8, 0 = z + 3*j + 5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eb when two letters picked without replacement from tftttttbbljleflffjf.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 34978680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 8:31 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*r = 42*r - 3363 + 213 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2447932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 550996.5 days to seconds.\nAnswer: 47606097600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(5\/3)*i*i*i**(3\/22)*i)**0)**(7\/11) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -4*u + 4 - 6, -5*u = 5*z - 15. Suppose 20 = z*m - 6. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*k + 4*w, 0 = -0*k + 3*k - 2*w - 8. Solve 9*x + 5*y = 8*x + k, -4*x + 2*y = 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 137144 = 4*z, 52*z - 137117 = -4*r + 57*z. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-62)\/(-4) - (6\/38 + (-101238)\/(-6821))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 181687 to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) -6500 (c) 2\/9 (d) -2\/7 (e) 7 (f) 0.32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4106 divided by 2700\nAnswer: -2053\/1350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -10. Let u(t) = -5 + x - 14*t. Let g(v) = 5*v - 2*v - 5*v + 3*v. Calculate u(g(o)).\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 7*p + 3*q = -7, 14 = p - 2*q. Suppose -p*g + 1549 = -3*y, -5*g - 206 = 4*y - 2119. What is the highest common factor of g and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 470, 927, 1362, 1787, 2214, 2655, 3122, 3627?\n\"Answer: 2*i**3 - 23*i**2 + 512*i - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2962619*k*w**3 + 2*k*w**2 - 761*k + 36*w**2 + 235 wrt w?\nAnswer: -17775714*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5654 - 2800 - 2851 + 551*r**2 - r to the form i*r**2 + j + v*r and give i.\nAnswer: 551","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4021 - 1701. Is r a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x - 2. Let h be m(2). Suppose -h*i - 25 = -i. Suppose 0 = 2*u + 4*j - 8*j - 10, -5*u - 4*j + 11 = 0. What is the nearest to -9 in u, i, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 1 = -5. Let z be -3 + 13 - -2 - g. Suppose 4*x - 18 = z. Calculate the remainder when x is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -12*g - 2. Determine n(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 3 + -5 + (-9 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-one quarters of a litre?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*d + 2*d. What is the remainder when ((-42)\/(-6))\/7*43 is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-35)*1\/2\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/1234 and -155\/1232766.\nAnswer: 1232766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2171 - 9250 = -247*x + 490*x for x.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, q: 15}. Give prob of picking 2 q and 2 h.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -5*y**2 - 44*y + 45. Let i be k(1). Let q = -6\/5 - -27\/10. Let m = -1 + q. Which is the biggest value? (a) m (b) i (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -415 + 419. Calculate the greatest common divisor of 16 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 709843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(sqrt(576)*1).\nAnswer: sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**4 - 356*z**3 + 684*z**2 + 1044*z.\nAnswer: 4*z*(z - 87)*(z - 3)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4540 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (-6 + 5)*-16\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.304145ug to grams.\nAnswer: 0.000009304145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 11*t - 2*t - 2*t**2 + 5 + 12*t**2 + t**3. Let g be m(-9). Suppose k - g + 6 = 0. Let n(x) = -2*x**2 + x. Determine n(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*w - 8*w - w - 10 + 51 as l + f*w and give l.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n = -7*n + 84. Let f be (-1*(-196)\/6)\/(n\/(-63)). Suppose -2*t + 3*v = -313, 0 = -t + v + f + 56. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59010770 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-282 - 118 - 925)*((-2 - 3*k + 2)*(2*k + k + 0*k) - 2*k + 3*k + 6*k**2 - 5*k**2) in the form b + d*k**2 + x*k and give d.\nAnswer: 10600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kz when two letters picked without replacement from {z: 1, g: 1, b: 1, n: 1, k: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/11, -1\/7, 0.2, 1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 21863716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/10 - 2031*k**2\/5 - 56721*k\/10 - 99176\/5.\nAnswer: -(k + 7)**2*(k + 4048)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1124906 rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 - 5 + 4)*(5 - 4 + 22) - 2 - 1 + 2)*(0 - 3 + 1)*(b**2 + b**2 + 0*b**2).\nAnswer: 556*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 2. Suppose -s = -4*q - 8 - g, 8 = -s - 4*q. Factor 2\/5*h**5 + 0 - 4\/5*h**2 - 2\/5*h + s*h**3 + 4\/5*h**4.\nAnswer: 2*h*(h - 1)*(h + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 11:15 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -57*y**3 - 2*y**2 + 5*y - 5. Let a(v) = -v + 1. What is -5*a(w) - r(w)?\nAnswer: 57*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 36*r + 182. Let z be g(-6). Suppose 3*a - 13 = 8. Find the third derivative of -13*p**2 + 2*p**3 - 26*p**2 + a*p**z wrt p.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 13*x**2 + x**3 + 5*x**2 + 485 - 460 + 65*x. Let l be u(-14). What is l rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 - -9. Let g = 35 - 28. What is the remainder when m\/44 - 145\/(-11) is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*t - 5*m = -115, -4*t - 5*m + 215 = 0. Let b = -30 + t. Calculate the greatest common factor of b and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12807 to the power of 1\/2, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*o - 5, -4*a + 1 + 4 = 3*o. Suppose -v - a*y + 299 = 0, -1 = 2*y - 3. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*q + 42*q + 59*q + (-q - 3*q + 5*q + (4*q - 2*q + 0*q)*(0 + 0 - 1))*(0 - 5 + 3).\nAnswer: 111*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6581, -6585, -6613, -6671, -6765, -6901, -7085, -7323?\nAnswer: -7621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-61268)\/(-583) - (3 + 0). Let b = 45 + 57. Let p = o - b. Is -1 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.694 + -493.306. Let u = 494 + w. Which is the nearest to -1? (a) 5 (b) u (c) 0.045\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l = -32*l - 9*l + 94 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/2)\/i)**50*((i*i**(-11))\/i)\/(i**11\/i) assuming i is positive.\nAnswer: i**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 + -1. Let r be ((-250)\/15 - -10)*(-24)\/10. Suppose 4*l + r = z + 1, 5*l + 27 = 4*z. What is the third biggest value in l, n, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*s + 222 + 141 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-576)\/(-40))\/(-9)*10\/(-4). Suppose -n*d + 146 = k, -5*k - d - 2*d = -730. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (81\/(-18) - -4))*(-4)\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5, 53, 137, 257, 413, 605, 833?\n\"Answer: 18*y**2 - 6*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 6:22 PM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -789.6 + 790. Which is the smallest value? (a) -0.009 (b) l (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(68)*4*-6)\/(-1*sqrt(64)*1).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 18981.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51088?\nAnswer: 2, 31, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*y - 14 = -b + 58*y, 0 = -4*y + 16. Let t be (1\/2)\/(-1 - -3). Solve 3\/4*w - 3\/4*w**b + t*w**3 - 1\/4 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 5*x - 19 + 5, -50 = -5*x - 5*s. Suppose 0*u = -4*u + 2*g + x, 2*u + g + 7 = 0. Let c(f) = -6*f**3 + 2*f + 1. What is the units digit of c(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - 0. Let v = -11 - m. Suppose 3*b = v, -b = 3*c + 4*b - 633. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15483 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kznunknknukkukn. Give prob of picking 2 k and 1 z.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1125000 to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.1 + 2. What is the nearest to -1 in -1\/14, 0.2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1882 and 50.\nAnswer: 47050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 8*p - 15. Let y be b(-12). Suppose -2*c - 2 = -2*j, -c - 5*j + y = 4. What is the units digit of c\/10 + 464\/40?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 6*k - 11. Let c(x) = 3*x**2 + 4*x + 1. What is the smallest common multiple of f(-9) and c(3)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 10 = 26. Let r be (-36)\/7*(322 - 329). Calculate the highest common factor of f and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*i**3\/4 + 22697*i**2\/4 - 1287544*i - 154587.\nAnswer: -(i - 454)**2*(25*i + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 33*l**2 - 6*l + 32. Calculate a(-33).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*n = 51*n - 9*n - 240 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*q = -2*d + 31*q + 27532, 13781 = d - 5*q. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-10))\/((-15)\/(-210))*3\/2.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 2*d - 44 + 20, 5*c + 7*d + 8 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1591*q - 1589*q = 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = 4*o. Let k = -1213 - -796. Let i be (-6)\/10 - k\/645. Which is bigger: i or o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.598 - -2.402. What is the fourth smallest value in q, 1\/3, 0.4, -2\/15?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**3 - 585*k**2 + 70305*k - 69715 = 0. What is k?\nAnswer: -191, 1, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 7)*(-3 + 4 + 1)*(2 - 1 + 1)*(-x - 1 + 1).\nAnswer: -36*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1142*n**2 - 464*n**2 + 349*n - 173*n - 176*n)*(0*n**2 + n**2 - 2*n**2).\nAnswer: -678*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -49*g + 48*g. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -5*d**2 + 5*d + 3. Let y(t) = 4*t**2 - 4*t - 2. Calculate 3*p(i) + 4*y(i).\nAnswer: i**2 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 148775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 - -26. Put -1, -2, -3, u in decreasing order.\nAnswer: -1, -2, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86, -239, -458, -743?\nAnswer: -1094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-4)*-8)\/((-8)\/(-4)) - 21. Let h be (11\/(-2) - -1)*4. Is o bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(306\/152 + -2). Calculate the greatest common factor of 19 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -109 + 221. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*l**3 - 65*l**3 - 76*l**3 + 215*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of k**4\/4 + 8*k**3\/3 - 10*k**2 + 6*k + 35. Determine w(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4398624 is divided by 3576.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 67511469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -115, -780, -2533, -5914, -11463, -19720?\n\"Answer: -90*a**3 - 4*a**2 - 23*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mpym when four letters picked without replacement from {m: 3, p: 1, b: 3, y: 5}?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*x = -100*x + 215. Let o(f) = -22*f - 129. Does 19 divide o(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 7:59 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/4878 and 25\/6?\nAnswer: 4878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -330674 (base 12) to base 13.\nAnswer: -2246b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 311 divided by -84798?\nAnswer: -311\/84798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008542222738 to 7 dps.\nAnswer: -0.0008542","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-0.057.\nAnswer: -0.057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 6*k - 3*k + 98, 0 = 2*k + 5*n + 70. Let g = k + 52. Let c be (-3)\/9 - (-34)\/3. What is the highest common factor of g and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006243 rounded to five decimal places?\nAnswer: -0.00624","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f**3 - f**2 - 6*f + 2. Let q(v) = 9*v**3 - 3*v**2 - 13*v + 5. Let c(j) = -3*q(j) + 7*w(j). Let n be c(-3). Suppose t = -2*t + 6. Sort -2, t, n.\nAnswer: -2, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*f - 126*f + 260*f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 175456*d**3 - 7*d**2 - 826*d - 2.\nAnswer: 1052736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -17*v**2 + 18*v - 11. Let o(c) = -9*c**2 + 10*c - 6. Let g(y) = 4*j(y) - 7*o(y). Let h(a) = 5*a**2 - 3*a + 2. Give 4*g(q) + 3*h(q).\nAnswer: -5*q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 69 = 22*x. Solve -5*k = 3*b + 13, k - x + 4 = b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-27) + 1 + -5 + 2. Let h = 16\/9 + y. Let z = -168 - -1510\/9. Sort h, z, -0.2.\nAnswer: h, z, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -463 - 1275*o**2 - 159 + 1279*o**2.\nAnswer: 4*o**2 - 622","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 702*k = 229*k + 284*k - 13230 for k.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-10)*70\/(-336))\/((-4)\/24)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 9:34 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2561)\/(-1970))\/((-19)\/1330)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 z when three letters picked without replacement from lllllllllllzlll?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 7, 0.1, 4\/5, -11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 1316744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 8*h + 120. Suppose 4*l = -4*l + h. Calculate the remainder when 3 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 5*r**2 + r + 3. Let k = 9 - 1. Let t be (k\/10)\/((-2)\/10). Is p(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/(-2) - -2)*14 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -60 - -40. Let v = l - -21. What is the nearest to v in -1\/7, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.7*4784.\nAnswer: 12916.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + j = 7, -2*k + 5*j + 6 + 13 = 0. Let o be (k + 36\/(-15))*-1. What is the nearest to -1 in 2\/3, 1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2042 + -1404. What is the highest common factor of l and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1522)\/(-22) + 0 + (-6)\/33. Let f = 70 - l. Solve f = -3*r + 3*c + c, -5*r + 10 = 5*c for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0525 plus 59?\nAnswer: 58.9475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(4 + (-44)\/(-44) - (-1 + (-48)\/(-9)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*x + 6 + 124*x + 0 + 366*x - 105*x.\nAnswer: 446*x + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 94 + -70. Let d = x + -12. Suppose -5*h + 2*h = -u + 10, -u + h = -d. Solve -2*v + 10*p - 5*p = u, -5*p = -15 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 12 - (4 + -3 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in 7, -3\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -25522531 (base 8) to base 7\nAnswer: -66160114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(175))*1.\nAnswer: 1 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 585 and 457326?\nAnswer: 29726190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1.303*-277\nAnswer: 360.931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -16. Suppose 2*j + 2*r - 70 = v, 0 = -3*r + 4*r + 4. What is the greatest common divisor of 117 and j?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42045 - 32202. What is the highest common divisor of o and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2064595317?\nAnswer: 3, 688198439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 103657, 207253, 310851, 414451, 518053, 621657?\n\"Answer: l**2 + 103593*l + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13465*y**2 - 18070040*y - 13420 = 0 for y.\nAnswer: -1342, -2\/2693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 2*k - 8. Let u be s(-6). Let n be u\/(-3)*(-2 - 1). Solve 4*x = 4*r + 28, -14 = 4*r - 5*x + n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1648 and 9579?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22735 divided by 12966.\nAnswer: 22735\/12966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 258002*a**4 + 20*a**2 - 34*a**3 - 257997*a**4 + 9*a**3.\nAnswer: 5*a**2*(a - 4)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73 - 14*(-252)\/(-72).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a microgram in nanograms?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -2*m + 163, 4*l - 46 - 82 = -m. Does 12 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 10*v**2 + 6*v - 46. Suppose 323 + 7 = -30*x. Let y be g(x). Factor 1\/3 - 6*o**3 + y*o**5 - 9*o**4 - 3*o + 26\/3*o**2.\nAnswer: (o - 1)*(o + 1)*(3*o - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 0)*1 - (-15)\/(-6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 10. Let x = k - 13. Let f = 1482271 + -1482268. Is x <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6926 - -6925.99829148. Round f to 4 decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (48\/(-28))\/(2\/(-21)) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -28.7, -4484?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 132\/(-330)*(13 + -3)\/(-2). Let q(u) = -3*u**3 + 4*u**2 - 3*u + 2. Determine q(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**4 - 500*v**3 + 572025*v**2 - 43547200*v + 42975680 = 0. What is v?\nAnswer: -421, 1, 88, 232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 3*i - 6 - 6, 2*i + 8 = 0. Let q(m) = 2*m - 1 + 4 - 7 + b. Give q(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j**2 + 4. Let a(u) = -15 - 5 + 19. Let s(g) = -5*a(g) - f(g). Suppose -2*w = -0*w - 2. Give s(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 94403, 188838, 283273, 377708, 472143, 566578?\n\"Answer: 94435*h - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -x + h, 2*h = 5*x - 14 + 6 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (0 + (18 - (-12 + 11))).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -20*u**3 + 13*u**2 - 20*u + 9. Give b(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57 and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000509968408 rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/8 - (-154)\/(-8). Suppose 34*b - 10 = -3*y + 30*b, -3*y + 5*b = -1. Let d be y*186\/48 + -8. Is d bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13725852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118451, 118636, 118923, 119312?\nAnswer: 119803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x + c = -17*x - 1634, 542 = x - c. Let k be -322 + (-3)\/(1 - -2). Let o = x + k. List the prime factors of o.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.5 in -1\/7, 2\/271, -6?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2060 + -8187\/4. What is the common denominator of -2*314\/(-120) + -1 and z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98372 < 98371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1552 (b) -8\/3 (c) -1.7 (d) -0.4 (e) -2 (f) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 5) in base 16?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 949.0924 centimeters?\nAnswer: 0.009490924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -803\/2 - -401. Which is smaller: -27 or q?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1705312127?\nAnswer: 1705312127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, q: 4, l: 2}. What is prob of sequence eee?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -125843 + -4?\nAnswer: -125847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -686692 (base 11) to base 3.\nAnswer: -2001111021121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 198452684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r + 3*y + 71, 0 = -r - 2413211*y + 2413204*y - 27 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 194*p + 6. Let y(v) = 233*v + 7. What is -6*c(b) + 5*y(b)?\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 o when three letters picked without replacement from {v: 2, j: 3, o: 4, m: 4, e: 3}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1211500 and 1000.\nAnswer: 2423000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 366*c - 128801. What is p(352)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*q + 1021, 4*k - 695 = 3*q + 3464. What is the greatest common divisor of k and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36421 or 9\/2?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 + 59*p + 4*p**2 - 27*p - 3*p**2 - 3*p**2.\nAnswer: -2*p**2 + 32*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12726, -25279, -37830, -50379?\n\"Answer: u**2 - 12556*u - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 26, 36, 46, 56, 66?\n\"Answer: 10*y + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7178 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: What is -95088 (base 10) in base 16?\nAnswer: -17370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/38650 and -19\/11595.\nAnswer: 115950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 14*r + 59. Let a be u(-4). What is j in -43*j**2 + 29*j**4 - 83*j**4 + 60*j - 16 + 53*j**2 - 120*j**a = 0?\nAnswer: -2, -1, 1\/3, 4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 472 - 480. Which is the biggest value? (a) j (b) -5 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 29917, 59826, 89735, 119644, 149553?\n\"Answer: 29909*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (612\/(-48))\/((-3)\/16). Suppose z = 3*f + 53. Let q(v) = 12*v**2 + 8*v + 14. Let y(a) = -8*a**2 - 5*a - 9. What is f*q(s) + 8*y(s)?\nAnswer: -4*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12)\/(-9) - 7630\/(-42).\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1306.37304 hours to weeks.\nAnswer: 7.77603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -134*k**2*m*t**3 + k*m*t**3 - m - 80*t**3 wrt k.\nAnswer: -268*k*m*t**3 + m*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - z + 1. Let u = -7 + 11. Suppose -u*d + 20 + 10 = -2*b, 0 = 4*d - b - 27. Let v be -1 - (-9)\/d*2. Determine n(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -y**5\/60 + 7*y**4\/24 - y**3 - 2*y**2. Let i be o(5). Solve -3*a - l = i, a = 4*l - 2*l - 13 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2805, 21613, 72427, 171249, 334081, 576925, 915783, 1366657?\n\"Answer: 2667*g**3 + g**2 + 136*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -26 + (-4 - -3)*1. Let o = n + 51. Let v be ((-105)\/4)\/(o\/(-320)). Round v to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -k**7\/840 + k**6\/72 - k**5\/60 - 5*k**4\/24 - k**3\/3 + 3*k**2. Let d(p) be the first derivative of i(p). Give d(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -y**4\/12 + 7*y**3\/6 - 3*y**2 + 2*y - 132. Factor a(o).\nAnswer: -(o - 6)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.1 + -3.9. Let b = 5.45 + y. Let h = b + -0.25. What is the nearest to h in -3, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 7:01 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 33 = 2*g, -g = -p + 2*g - 7. Suppose -2*x - 2*x = s - 15, 27 = 4*s + p*x. Factor 36*w**2 - 48*w + 26*w**3 + 4*w**s - 2*w**3 - 16.\nAnswer: 4*(w - 1)*(w + 2)*(7*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(-1)))**(-21\/4))**(-2) assuming v is positive.\nAnswer: v**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 6*a**2 + 5*a + 2. Let n(u) = 5*u**2 + 5*u + 2. Suppose -1054*m + 92 = -1077*m. Give m*c(o) + 5*n(o).\nAnswer: o**2 + 5*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**5 + 2*b**5 + 0*b**5 + (-58*b**4 + 55*b**4 + 53*b**4)*(0*b - 6*b + 4*b).\nAnswer: -98*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(1\/4))**(-2\/5)\/(((f\/(f\/(f\/((f*f**(-3\/5)\/f*f)\/f))))\/f)\/(f*f**6)) assuming f is positive.\nAnswer: f**(59\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 9 = d. Suppose -4*o - d*q + 170 = -2*o, -255 = -3*o + q. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.060537608 rounded to 5 decimal places?\nAnswer: -0.06054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 13*s**3 - 6*s**2 - 5*s + 9. Let b(i) = 3*i**3 - 2*i**2 - i + 2. Let a(t) = -9*b(t) + 2*m(t). What is a(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3459443711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -928*d + 2780*d + 1123*d.\nAnswer: 2975*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -168 - -680. Is l a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vu when two letters picked without replacement from vvuvquuuiuvquudv?\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 4592\/(-280) - (-65)\/5\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 5*k - 3. Let a(n) = n**3 + n + 0*n - 2*n**k + 3*n**2. Let j be a(3). Solve 11 = -0*c + 2*c - 5*m, -4*m = j*c - 5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.1, 27\/4, 6, 10\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 174363113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nsnsznsnzsssssnnns. Give prob of sequence nsz.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 21*u**2 + 34*u + 28. Let t be f(-19). Suppose 4*d - t = -c, 3*c - 3*d + 0*d = 237. Is c a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7 + 1)*(-2)\/4. Let g(i) = -7*i - 19. Let u(p) = -p. Let q(c) = -g(c) + 5*u(c). Let o be q(-11). Put r, o, -1 in ascending order.\nAnswer: o, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -10 (b) 5\/3 (c) -32\/841\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -v**3\/6 - v**2\/2 + 3*v. Let c be k(-3). Solve -z - 3 = -s - s, -5*z = -c*s - 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337814828 to the power of 1\/2, to the nearest integer?\nAnswer: 18380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 10:26 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -6. Suppose -5*m + u*c = -4, -1 = -m - 2*c - 3. Suppose m*r - r - 3*a = -45, -r + a = -29. What is the highest common factor of r and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 17.547 (b) 4 (c) -5 (d) 0 (e) -1\/7 (f) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 18 = 3*p + 3*y, -13 = -2*p + y. What is the lowest common multiple of 3 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 67*p**4 - 1232*p**3 - 6*p**2 - 2264860.\nAnswer: 268*p**3 - 3696*p**2 - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d0 + -78c1?\nAnswer: -79a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*z + 6. Let s = 2 - -2. Calculate the highest common factor of z and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z + 89*z**2 - 17*z**2 + 57*z - 51*z.\nAnswer: 72*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 305, 25, -60, 5, 1.\nAnswer: -60, 1, 5, 25, 305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y - 4*y + 5*y + (6 - 16 - 6)*(3*y - y - 3*y).\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 75614682 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -3 + 2*o**2 - 3*o**2 - 2. Let x(b) = -7*b - 5. Let g(u) = 3*u + 2. Let m(y) = -5*g(y) - 2*x(y). Give i(m(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 + -24 - (-20 + 105)) + 24 + -6.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -7442347?\nAnswer: 3\/7442347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 2*z**2 + 9*z + 9. What is b(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315262 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 208129507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 r, and 1 z when three letters picked without replacement from {z: 1, c: 1, r: 2, v: 1, j: 1, h: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 394 - 384. Solve -h = a + 4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + 49 + (-1 - 11 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2. Let l(i) be the second derivative of 5*i**3 + 65*i. Give l(h(d)).\nAnswer: -30*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4 - 12 - 14335*b**2 - 77217*b**2 + 9*b + 7176*b**2. Let r be c(8). Round r to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 5*k**4 + 95*k**3 + 660*k**2 + 2000*k + 2240 = 0?\nAnswer: -7, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/36 + (-26)\/12. Let z be h - -1 - (-64)\/(-1). Let f = z + 113. Does 16 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 667409550?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 118 + -266. Let a = k + 156.7. Let f = a - 9. Put f, 3, -1\/2 in increasing order.\nAnswer: -1\/2, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 737 + 11*n**2 + 3*n**3 - n - 733 + n to the form y*n**3 + m*n + q + x*n**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/32 of a millimeter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.41213172 to the nearest integer.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 66\/9)\/(2\/(-6)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 921 = 6*m. Suppose -4*b + 5*x + m = 0, 234 = 5*b - 2*b - 3*x. Let l be 2 + 0 - (-5 - b). Calculate the highest common factor of l and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*i = -14*i - 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -227 + 154. Let u = a + 106. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {z: 4, b: 1, m: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 3 - 5)*(0*k**2 - 3*k**2 + k**2) + (2*k - 3*k + 2*k)*(1 - 1 - 3*k) + 5 + 162*k - 164*k - 3 + 24*k**2 as x*k + o + s*k**2 and give s.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 7:31 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25951331*l + 4890937 wrt l.\nAnswer: -25951331","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 315 = -0*n. Suppose 0 = 2*i + 2*c - 50, -3*c + 135 = 2*i + 3*i. What is the common denominator of i and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(-4\/7))**(-33\/5)\/(p\/(p\/((p*p**(-2\/9))\/p)))**(8\/3) assuming p is positive.\nAnswer: p**(-1670\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*t - 38*t - 3*d - 26 = 0, -5 = t + 5*d for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 82*d + 30 - 24*d - 152*d with respect to d.\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -286313 divided by -129\nAnswer: 286313\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -146, -118, -90, -62, -34, -6?\n\"Answer: 28*m - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2215 or -50199?\nAnswer: 2215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 2 + (-11 - -4) + 5.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 g when two letters picked without replacement from tttjttjgtt.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g**3 + 4*g**2 - 2. Let r(f) = 21*f**3 + 21*f**2 + f - 10. Let u = 1 + -2. Let h be u\/(-2 + (-69)\/(-33)). Let t(y) = h*v(y) + 2*r(y). Factor t(x).\nAnswer: -2*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 61*j**2 - 127*j - 943. Is 34 a factor of w(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2325*0.102\nAnswer: 237.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/((-8)\/(-40)*0 + 1). Solve h = 5*k + k + 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**3 - 2*j**3 - 34*j**2 + 34*j**2.\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 9\/12)*(-15 + 15 + 6). What is the second smallest value in 0, 1\/4, -11, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**2*t**3 + 80*d**2*t**2 - d**2*t - 268*d*t**2 + 53*d*t - 21*d wrt t?\nAnswer: -6*d**2*t + 160*d**2 - 536*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r. Let m(x) = 33451561*x. Give m(d(n)).\nAnswer: 66903122*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37464 = 1162*p + 102536 for p.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 163 - 12. Round h to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -68 - -a?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131412?\nAnswer: 2, 3, 47, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**3 + 1 - 1 + (-2 + 2 - r)*(-2*r**2 + 0*r**2 + 0*r**2) + 5*r**3 + 2*r**3 - 4*r**3 + 2*r**3 + 3 - 3 - 3*r**3 + 2*r - 3*r + r**3.\nAnswer: 4*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 100 = 5*q - 2*m, -2*q + 3*m + 40 = 0. Suppose 0 = -5*a + q, -2*i = -4*a + 9*a - 24. Solve -4 = i*p - 2*s, -5*p + 2*s - 14 = -1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2\/51, -1.293 in decreasing order.\nAnswer: 2\/51, -1, -1.293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-197697)\/308 + (-36)\/126. Let y(m) = 2*m**2 - 4*m - 5. Let z be y(-17). Let f = z + g. What is the common denominator of f and -65\/32?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + -1)*(-2 + 2). Let s = q + 2. Differentiate -o**2 - s + 1 + 0 with respect to o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -872 - -908. Calculate the lowest common multiple of k and 164.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 71\/4 of a week?\nAnswer: 2982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -v**4\/4 + v**3\/3 - 10*v + 62. What is the third derivative of t(c) wrt c?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 11 - 2 - (-13 - (-33 + 19))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -12 and 4578302368918?\nAnswer: 4578302368930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000879640856 to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -60 (b) 2\/31 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - -6 - (3 - 1) - -1. Let c be 3 - (-2 + 1 + q). Factor -24\/17*m - 2\/17*m**c - 72\/17.\nAnswer: -2*(m + 6)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3678 - 3677.79011. Let t = -0.21 + k. What is t rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 20. Let a = 21 + b. What are the prime factors of a?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + k - 14 = -0*y, -38 = -2*y + 3*k. Suppose 0 = -4*u - w + 29, 2*w = -3*u + 2*u + y. Suppose 3*v = -3*z + 12, v + 3*z + 28 = u*v. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.207 - -0.007. Let k = 19 + -17. What is the third smallest value in h, k, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, i: 6, v: 1, w: 1}. What is prob of sequence wii?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 790 + -0.785449\nAnswer: 789.214551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/17955 and -33\/133.\nAnswer: 17955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*y**2 + 136*y - 40.\nAnswer: 2*(y + 10)*(7*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 468 by -26757.\nAnswer: -52\/2973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 243.376 - 0.376. Let f = 243.00825 - c. Round f to 4 dps.\nAnswer: 0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58909*z - 5 + 26*z**2 - 58909*z - 2 + 2 - z**2 + (-2*z + 4*z + 0*z)*(4 - z - 4) to v + m*z**2 + f*z and give m.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 85548.52ml?\nAnswer: 85.54852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 4. Let v = p + 0. Suppose -4*o + 7*o = -v*t + 117, 49 = t - o. Does 13 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -m**3\/3 + 3979. Let s(f) be the third derivative of f**5\/30 + f**2. Determine a(s(n)).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - -17 - (-4 + 12 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 15202833.\nAnswer: -30405666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0 (c) -358\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.89 + 0.11. Let k = -156339777.00000112 - -156339766. Let t = w + k. Round t to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-20)\/j*j*j\/(j**(-10)\/j) assuming j is positive.\nAnswer: j**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9062680, 18125360, 27188038, 36250714, 45313388?\nAnswer: 54376060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 5. Let j be (3 - (-52)\/(-16))\/(2\/(-6)). What is the closest to t in -3, j, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 279702240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 f when two letters picked without replacement from {f: 2, c: 9, g: 4, a: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/923 and -16\/39.\nAnswer: 2769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/15 of a day?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/49280 and -53\/720.\nAnswer: 443520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1184 divided by 592?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 361, 0, 36327 in decreasing order.\nAnswer: 36327, 361, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3654*k**2 - 4722*k**3 + 2651 - 2651 + 93*k**3 wrt k.\nAnswer: -27774","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127121639?\nAnswer: 307, 414077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*o + 12*o + 14. Calculate the highest common factor of o and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 + 21*n - 6. What is k(-10)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 22280000 to the nearest 1000000.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 216 times 1894\nAnswer: 409104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*r + 176 - 572 = 0. Let h be (18\/15)\/(r\/(-20)). Solve 3*j - 2*o = -3*o + 8, -12 = h*j + 5*o for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 6*c**2 + 8*c - 15. Let p be h(4). Solve 9 = -110*q + p*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11.348 - -37.333. Let o = a - 26. Round o to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/31 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2201*j - 73*j + 3111*j + 2054*j.\nAnswer: 7293*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1369 is divided by 107.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000015768 rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1771 or 211.2?\nAnswer: 1771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -4. Let g(w) = -p + 4*w**2 - 2*w**2 + w**2 + 5. Let r be g(2). Solve 4*b = 2*u + u - 23, -2*b = -u + r for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 s, and 2 r when four letters picked without replacement from {k: 1, f: 1, r: 4, s: 4, v: 7}.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 0, 9665 + 5595 = -m + 4*d. Round m to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -773 - 2655 = -114*m + 4210 for m.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3154848 - 8?\nAnswer: -3154854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3747, 7496, 11245, 14994, 18743, 22492?\n\"Answer: 3749*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssx when three letters picked without replacement from {z: 4, x: 2, w: 1, s: 5, c: 2}.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3630330 = -109*d - 193*d + 104*d. List the prime factors of d.\nAnswer: 5, 19, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 8*a**2 + 8*a - 3. Suppose 2*v + 25 = -3*v. Let i(r) = r**3 + 5*r**2 + r - 4. Let o be i(v). What is the units digit of c(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a minute in seconds?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 18 (b) 0.1 (c) -4\/33 (d) 0 (e) -0.05 (f) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 629*f*l**2 - 4*f*q**2 + 3*l**2*q - 36*q**2 wrt q?\nAnswer: -8*f*q + 3*l**2 - 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 85641659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = l + p + p, 0 = 2*p - 2. Let d(z) = l*z**2 - 3*z**2 - 4*z**2. Let x(j) = -j. Calculate d(x(k)).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6*w**3 + 3*w**2 + 2*w + 1. Let f(i) = -5*i**3 - 2*i**2 - 2*i - 1. Determine 4*f(x) + 3*h(x).\nAnswer: -2*x**3 + x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 125088409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 38 - -6?\nAnswer: 3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of 1\/60*y**6 + 0*y**4 + 0 - 11\/6*y**3 - 206*y**2 - 7\/10*y**5 + 0*y. Find the first derivative of t(n) wrt n.\nAnswer: 6*n**2 - 84*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2483052l in millilitres?\nAnswer: 248.3052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -57*p + 70*p. Suppose -7 = 5*i + p*i. Put i, -12, -2, -3 in decreasing order.\nAnswer: i, -2, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/9, -0.2, 4, -5 in increasing order.\nAnswer: -5, -0.2, 1\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence md when two letters picked without replacement from kmkkmdqqqf?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 943585 - 1955108193\/2072. Find the common denominator of 23\/2072 and k.\nAnswer: 2072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/12 - (-2 - 54\/(-24)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.22*-1382146\nAnswer: 304072.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 - -38. Let n be (-2)\/p - 24\/(-27). Let o = 9.4 + -9. What is the biggest value in o, n, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6213 is divided by 6212.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 464401, 928859, 1393317, 1857775?\nAnswer: 2322233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/3*y - 8\/3*y**3 - 1\/3*y**4 - 6*y**2 - 5\/3.\nAnswer: -(y + 1)**3*(y + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24696787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2202369 and 0.4?\nAnswer: 880947.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32.911 - -0.089. What is the biggest value in w, 0.3, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7.368148 centuries?\nAnswer: 736.8148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55 + -41. Factor 0 - 20*a**2 + 14 - p + 4*a**3.\nAnswer: 4*a**2*(a - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -157 + 126. Let x = 297 - w. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6.8 in 0.2, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 12*m - r = 1066, 3*r = 0. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-108)\/(-72))\/(6\/56*-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(2736)*-2 - sqrt(475)*-2)**2 - (5*sqrt(931)*-1 + -4).\nAnswer: 35*sqrt(19) + 3215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5800, -11606, -17418, -23236?\nAnswer: -29060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 2. Suppose -288 = -4*b + 2*z, 9*b - 12*b - z + 216 = 0. Suppose w - 5*w = -b. Which is greater: w or f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57305?\nAnswer: 5, 73, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -1\/6, 49 in descending order.\nAnswer: 49, 0, -1\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 plus 27108676621?\nAnswer: 27108676582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-136730)\/(-15191) + -9). Which is smaller: d or 1379?\nAnswer: 1379","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.02 from -1892.\nAnswer: -1892.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -0*g - 9. Suppose 137 = 3*r + 6*m - 2*m, -207 = -5*r + 4*m. Let w = g + r. List the prime factors of w.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -795 - 29?\nAnswer: -802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-1) - (-1048104)\/(-20). Let n = t - -52760. Let f = n + -15806\/45. Find the common denominator of f and 77\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = -11*t + 13. What is the tens digit of (-2)\/t*-1 + 698\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s + 1088 = 1172 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 11:39 AM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -337818, -675640, -1013462, -1351284, -1689106, -2026928?\n\"Answer: -337822*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1*k*k**(-4)*k)\/(k\/(k\/(k*k**(-1\/3)\/k)))**17 assuming k is positive.\nAnswer: k**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/3 + 26\/42. Let m = 15.9 + -10.9. What is the closest to k in 3, -0.2, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -1) + 1 + (10 - 7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**2\/2 - 757167*z\/2 - 757165 = 0. Calculate z.\nAnswer: -757165, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c + 42. Let i be x(15). Let b be -10 + i + 4 + -2 + 2. Put b, -1, 0 in decreasing order.\nAnswer: 0, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.14519 and -16.7.\nAnswer: -16.55481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - 5*u + 1851 - 1944, -79 = 3*j + 4*u for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1791269.\nAnswer: 1791269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - 2. Let b = -4.7 - q. Let m = b + 0.7000002. Round m to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 5*p + 16. Suppose p*b - 1091 - 185 = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x + 2. Let c(v) = -3*v - 6 - v + 2*v + 6*v. Let r = -99 - -101. Let q be c(r). Give n(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 865 - 869 = 5*b, 2*b - o + 1 = 0. Let k = -4.91 - 0.09. Sort k, b, -9.\nAnswer: -9, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 38 divided by 7560?\nAnswer: 19\/3780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -105, 4\/7, 3, -3, 9, 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -14\/5, 0.1, -2\/7, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-5) - (-4)\/10. Suppose -o - o + 20 = x. Find the common denominator of (-7)\/o + 1 - 0 and -21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*h = 6*h + 176, -3*t = -4*h + 542. Let n = 173 + t. Which is the nearest to -10? (a) -0.5 (b) n (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14 + -33b4bd?\nAnswer: -33b4d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 370 + -370.4. Suppose 2*j - 7*j - 5 = 0. Let w = 1 - j. Which is the nearest to w? (a) z (b) -1\/6 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3 + 3 - (-10 + -11 - -6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.3768 * 0.03072\nAnswer: 0.042295296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31762312 divided by 8.\nAnswer: -3970289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 3\/(-33)*-57) + (-2 - -6). Suppose -d = -3 - 5. Let x = 49\/6 - d. Which is the smallest value? (a) x (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6485090*k**2 + 9*k + 23951.\nAnswer: -12970180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*l - 165 = -l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27533504 and 6.\nAnswer: 82600512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 + -30. Is 46 + (-28)\/s + 3 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -5, 111, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/66 and -149\/7260.\nAnswer: 7260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of 13\/140*h**6 + 29\/105*h**5 + 0 + 0*h + 3\/245*h**7 + 8\/21*h**3 + 3\/7*h**4 - 10*h**2. What is l in d(l) = 0?\nAnswer: -2, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 9 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/6 and -49\/44349?\nAnswer: 88698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 1)*(-2 + 1). Suppose 0 = k - 2 - m. Suppose -8*i + 12*i = 12. Solve 0 = 2*t + 5*g - 0 - 9, -i*g + 18 = -k*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1351 divide 1577675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/3372 and -37\/718798.\nAnswer: 4312788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.9314 - -1.9303129. What is o rounded to five dps?\nAnswer: -0.00109","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 26661.516ms in minutes?\nAnswer: 0.4443586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1540, -1421, -1228, -967, -644, -265, 164, 637?\nAnswer: 1148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3348 is divided by 601?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/(-78))\/(7140\/(-77350))?\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268 = 2*q - 5*x - 284, -5*q = -x - 17 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/41 and -43\/1886?\nAnswer: 1886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 175 = -3*z. What is the greatest common divisor of 14 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 66\/83, 3, 21, -1\/3, -1\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -8738.54956 to the nearest ten.\nAnswer: -8740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*t**3 - 717*t**2 - 221*t**3 + 723*t**2.\nAnswer: -231*t**3 + 6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -43*g**2 + 1849*g + 33. Calculate n(43).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 8, -13, -3.\nAnswer: -13, -4, -3, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32.68 + 32. Let o = 0.18 + q. Let u = -14.9 + 1.9. What is the second smallest value in o, u, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in 19, 0.5, 3, 1, 0.213?\nAnswer: 0.213","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159 + 169 - 328 - 14*t.\nAnswer: -14*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20\/741? (a) 9 (b) 4 (c) 0.15 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/12 + 1)*6. Suppose c*b - 22 = -2*b + 2*f, -2*b - 5*f - 7 = 0. Let -z + z**b + z**3 + 0*z - 5*z**4 - 6*z**2 - 10*z**3 = 0. What is z?\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-17 - -19)*(-6)\/(-4). Let a(f) be the second derivative of -1\/6*f**3 + u*f + 0*f**2 + 0. Let s(v) = -11*v**2. What is s(a(r))?\nAnswer: -11*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnd when three letters picked without replacement from dnnndnnnnddd?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 + 265*c**3 + 2215*c**3 + 1918*c**3.\nAnswer: 4398*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.31 times 0.5063?\nAnswer: -1.675853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**3 - 6*r**3 - 10*r**3 + 2*r**3.\nAnswer: -11*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 501*p + 1713*p - 2192*p.\nAnswer: 22*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, j: 12, x: 5}. Give prob of sequence jx.\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 2:55 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 2236746.\nAnswer: 2\/1118373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((3 + -5)\/(-12)). Solve 7*q = -4*p + 4*q - g, 2*p - 2 = q for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 118817\nAnswer: 47526.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000189395 to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 6*r. Let d be o(6). Suppose d = 4*k + 31 - 3. Let n(z) = z**3 + 6*z**2 - 6*z + 8. What is n(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122 = 54*f + 94 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/7 - 404*x**2 - 2123136*x\/7 - 172171008\/7.\nAnswer: -(x + 92)*(x + 1368)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + j - 24, -2*j = -5*n - 23 - 5. Let u be 1035 + (-28)\/n + -2. Find the first derivative of 21 + 1083*o + 37 - 13 - u*o wrt o.\nAnswer: 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/(-15)*(24\/(-18))\/(-4))\/(-1). Is -2\/41241 at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 252872.04787 + -249344.0480199. Let m = -3528 + f. Round m to 5 decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -11*f**3 + 5*f + 9. Let c(z) = 6*z**3 - 3*z - 5. Let d = -805 - -802. What is d*t(w) - 5*c(w)?\nAnswer: 3*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*g + 6. What is the tens digit of 78\/(-4)*4\/g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 9:31 PM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-6)*-1*(-314304)\/(-64) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 720.8803l to millilitres.\nAnswer: 720880.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(1024)*2 - sqrt(16))\/(sqrt(512) + 1*sqrt(512)) + -3)**2.\nAnswer: -45*sqrt(2)\/8 + 993\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 405*f**2 + 75*f - 1177. Is s(-43) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + -1 + 4\/(-2). Let p be (-5319)\/m + 2\/8. Suppose -p = -4*n + 1194. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5359 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 447141.\nAnswer: 3, 113, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1386642 + 1386642 + 473*a)*(3*a**4 + 2*a**4 - 2*a**4).\nAnswer: 1419*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19061*4916.\nAnswer: -93703876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 518014.\nAnswer: 2, 7, 163, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 141020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 18080321.\nAnswer: 162722889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337796 is divided by 30704.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, u: 4, m: 4, t: 3, v: 3, p: 2}. What is prob of sequence muvt?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 9 = -4*z, 0 = -3*o + 2*z - 8 + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 6:01 PM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 7 + 5 = 0. What is the nearest to w in -4, 1\/2, -0.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*s + 4*g - 5*g, 0 = 2*s - 11*g + 59 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1421, -2869, -4297, -5693, -7045, -8341, -9569?\n\"Answer: 2*u**3 - 2*u**2 - 1456*u + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18086 + -6064. List the prime factors of r.\nAnswer: 2, 6011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + 42 + 2\/(-2). Let b = h + -40. Solve 0 = 5*m + 10, -b*r = 4*m - 10 + 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12*(-8)\/(-96))\/((-3)\/(-69)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 2*c + 2. Suppose 5*n - 5 = 4*s, -2*s + 5*s - 5 = 2*n. Let r(a) = -2*a**2 + 5*a - 5. Give s*t(b) + 2*r(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(19) + -2 - sqrt(19)) + (sqrt(152)*-5)\/sqrt(8))**2.\nAnswer: 50*sqrt(19) + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 240 - 264. Which is the fourth smallest value? (a) o (b) -3 (c) 0 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 divided by 902340.\nAnswer: -19\/300780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(140)\/sqrt(7) + sqrt(5)))**2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -1) + (-14)\/(-12). Let i = -7431 + 14863\/2. Which is the nearest to i? (a) -1 (b) m (c) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 8, -5, 3, 47?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 154?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3084363 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 2656?\nAnswer: -2651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of v**4\/26 - 72*v**3\/13 + 317*v**2\/13 - 420*v\/13 + 65. Factor f(b).\nAnswer: 2*(b - 105)*(b - 2)*(b - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*j - 13, -4*x + 32 = -5*j. Solve -z + r + r + x = 0, -r = 4 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11013130 (base 4) to base 10.\nAnswer: 20956","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of y**4\/8 + y**3\/6 + 2*y**2. Suppose -3 = 5*h + 7. Calculate j(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -1 + 1 - 8*u**2 + u**3 - 2 + 9*u. Let i be n(7). Let k be (1 + -3)\/(120\/(-660)). Is i < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 45812048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (3 + 12 - -20)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 0*z**4 - 1\/20*z**5 + 1\/2*z**3 - 3*z + 0 + 0*z**2. What is the second derivative of k(p) wrt p?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 122 - 122. Suppose m = 2*w - 378 + 112. List the prime factors of w.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -213, -806, -1777, -3138, -4901, -7078, -9681?\nAnswer: -12722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 14217 = -7*c + 14405. Solve -c*n + 39*n + 8 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 + 3 + -428 + 456?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -7. Let f be (-28)\/(-8) - t\/4. Let m(r) be the second derivative of -r**3\/6 - r. Calculate m(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y. Let c(p) = -7*p. Let u(o) = -o. Let a(t) = c(t) - 6*u(t). Determine a(k(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**10\/(h**(-15)*h))\/(h**(-2\/11)\/h)**(-31) assuming h is positive.\nAnswer: h**(-139\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 1. Let v be ((-2)\/(1 - 2))\/(22 - 24). Which is the second smallest value? (a) v (b) 0.03 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/77, 2\/3, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 222*m + 27 = 223*m, 3*m = -5*b + 41. Suppose -k + 3 + 0 = 0. Suppose 4*g + 3*h = -h + 108, 0 = -k*g - 4*h + 79. Sort g, 3, b in ascending order.\nAnswer: 3, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - d + 1. Let v(i) = -7*i + i**2 - 4*i**2 + 6 + 4*i**2. Suppose 2097 - 2013 = 14*n. Determine n*b(o) - v(o).\nAnswer: 5*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 333 and 2097.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -650, 5 in increasing order.\nAnswer: -650, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -211201 + -10?\nAnswer: -211211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29977 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -2*i + 19, 2*a + 4 = 4*i - 10. Solve 0 = -3*q - 1 + 13, 4*g - i*q = -40 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 104978268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19131 or -0.01?\nAnswer: -19131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-10) + 98\/35. Suppose 0 = 3*w - y*w - 407. What is the greatest common factor of w and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -920, -1837, -2754, -3671, -4588, -5505?\nAnswer: -6422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 40\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -55590 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22922 divided by 314.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-8))\/((-37)\/(37888\/(-48))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 3:42 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.5 - 0. Let z = -3.3 - -3. What is the second smallest value in z, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 351*a + 10297. What is v(27)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000082108 to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/8 of a tonne?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/8 of a gram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(12\/(-2310)*11*60)\/(6\/28)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = 39*w + 261 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 245, 540, 949, 1472, 2109?\nAnswer: 2860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 42\/(-6) + (-36)\/(-4). Solve -i = 5*c - 0*c - 9, 8 = -p*i + 3*c for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 190536 and 680.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -v - 4, 3*m = -v + 9. Suppose 3*c - 7 = -3*s - 1, 0 = -c - m*s + 8. Solve 25 = -5*p - c for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19\/6547 + 78697\/45829. Let c(g) = -3*g - 1. Let i be c(-2). Solve 8\/7*p**4 - 32\/7*p**2 + 52\/7*p**3 + 0 - b*p**i - 16\/7*p = 0.\nAnswer: -2, -1\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8214, -12480, -16746, -21012?\n\"Answer: -4266*n - 3948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -9*x**3 - 119*x**2 + 141*x + 6. Determine g(-14).\nAnswer: -596","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 181*t - 6*t**2 + 8 - 5 + 132*t + 4*t**2 - 9*t as o*t**2 + n + c*t and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 18 - 30 - 30 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3b53 - -12?\nAnswer: 3b65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2069337 greater than or equal to 2069337?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(4\/5)*g*g)\/(g**(3\/5)\/g))\/(g**(-1\/5)*g)**(-19) assuming g is positive.\nAnswer: g**(92\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 642767113 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -45066 (base 7) in base 12?\nAnswer: -66b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2.6, -20, 0, 2\/11, 33?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 7224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 14*k + 10. Let y(s) = s**2 - 14*s + 19. Let i be y(11). What are the prime factors of l(i)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 3*k, 0*d - k - 5 = 2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -7*m**2 + 4*m - 16. Let b(p) = 6*p**2 - 3*p + 16. Give -5*b(y) - 4*x(y).\nAnswer: -2*y**2 - y - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 21. Let x = b + 10. Let v = -129 + 131. What is the nearest to -2 in -5, x, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 b, and 1 u when four letters picked without replacement from {w: 1, z: 1, x: 3, b: 3, u: 2}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a gram in milligrams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of g**5\/10 + g**3\/6 - 416*g**2 - 1590*g. What is the first derivative of i(t) wrt t?\nAnswer: 6*t**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 1505?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1564.0000000704 + -1564. Round p to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 196050078?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -28*l**5\/5 - 134*l**4\/5 - 32*l**3 + 14*l**2 + 188*l\/5 + 64\/5 = 0.\nAnswer: -16\/7, -2, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -3\/4 (c) -405\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*m - 11 = -0*t, 0 = -t - 3*m + 8. Suppose 5 = 5*o + r - t, -4*o - 6 = -2*r. Which is the third smallest value? (a) 0.05 (b) o (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100, 86, 70, 52, 32, 10, -14?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/4)\/(j*j**1))**(-44))**42 assuming j is positive.\nAnswer: j**4158","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/4 of a week?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -648*v + v**2 + 31 + 1290*v + v**2 - 646*v + 49 to the form s*v + w*v**2 + g and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5*r + 9874 - 1729 = 0, -4*z + r + 8173 = 0. Is 121 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 32*q**5\/3 + 206800*q**4\/3 + 111041958*q**3 - 3189285704*q**2\/3 - 9533126560*q\/3 - 2094339200 = 0.\nAnswer: -3236, -5\/4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 19 + -8 + -2 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 5 + 6)*(-q - 4*q + 17*q) + 26 + q - 26)*(-2 + 1 + 0) - 4 - q + 4.\nAnswer: -26*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, 7, 265, 2, -2, 3, -10 in decreasing order.\nAnswer: 265, 44, 7, 3, 2, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 44261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 753 and 10291.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - 271ab?\nAnswer: -271a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -26*g**2 + g - 2. Let i(d) = -d**2 - 1. Let f(v) = -2*i(v) + m(v). Give f(1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 o when three letters picked without replacement from {r: 10, o: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2565 = -157*o + 138*o. What is the highest common divisor of 330 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 41. Let g(r) = -2*r + 2. Let c be g(-2). Suppose c*t - q = t. Solve 0 = -t*m + 6 + 14 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 6. Suppose 2*n = -k + 16 + 3, -c*k - 5*n = -37. Calculate the common denominator of (1\/k)\/(22\/1551) and -9\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -916*i + 14869. Give s(16).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rzrwuczcrrrzr. What is prob of picking 2 z and 1 r?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 3:15 PM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4698)\/(-1827))\/((-72)\/(-8)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120888 bigger than 1120888?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16225570979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2169 + -2126. What is the smallest value in 5, 1\/12, j?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/560 and 149\/30060.\nAnswer: 841680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (70\/6 - (2 - 3))*(-463182)\/(-239)?\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*t - 11*t + 990. Let d = t + 191. Calculate the lowest common multiple of 27 and d.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in -0.2, -1\/2, -1, -0.8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e33 - 0?\nAnswer: e33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 720104 = -121744. Suppose -150310 = -5*f + n. Suppose -2*o = 3*j - 4*j + 59990, j - f = 4*o. What is j rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 17\/2*(1 + 3). Suppose v - 218 = 5*r, 0 = 3*v - 8*r + 3*r - 694. Calculate the highest common factor of v and y.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express h - 12*h**4 - 8*h**4 - 77035 + 77037 + 0*h in the form t*h + r*h**3 + y + d*h**4 + o*h**2 and give d.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443 is divided by 239?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/7 + 155*s**3\/7 - 471*s**2\/7 + 473*s\/7 - 158\/7.\nAnswer: (s - 1)**3*(s + 158)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -53 or 0.032?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 576\/(-320)*(-50)\/(-6) + 19040\/1232?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-40) - 1*3\/(-15). Which is the third smallest value? (a) -0.1 (b) u (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 105669929.4\nAnswer: 105669935.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10.9+-61.269\nAnswer: -72.169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 109784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(832)*-5)**2 - sqrt(13)) - sqrt(78)\/(sqrt(294) - -1*sqrt(294)).\nAnswer: -15*sqrt(13)\/14 + 20796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64290 = -12*l + 33762. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -136 + 139. Suppose -y*v + 3 = 0, 2*p - 5456 = -p + v. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 6*l**2 + 9*l + 1. What is the hundreds digit of q(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 22*h + 7*h**3 - 3 + h**2 - 22*h + 2. What are the prime factors of v(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - r + 0 = 1, r = 4*f + 14. What is the remainder when (-6)\/9 - 35\/f is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44 - -3) + (-21 - 0) + (8 - (21 - 28))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 13*o**3 + 119*o**2 + 12*o - 67. Calculate q(-9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3208944 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 10202122?\nAnswer: 10202200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -d**4\/6 + 2*d**2. Suppose -3*v + 10 = c + 3*c, c = 1. Let z(i) = -4*i**2 + 0*i**v - 4*i**2 + 5*i**2. Calculate z(m(a)).\nAnswer: -48*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*p - 17 = -43 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.08 or -32\/19?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-46)\/(-8) + (-12)\/16. Let d be k\/3*8\/20. What is the closest to 1 in -0.3, 1, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14008 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-22)\/44*(-3 - -7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.09 + 3.3. Let k = -0.21 + h. Let w be (-588)\/(-108) + (-8)\/18 + -4. Which is the nearest to -1? (a) -2 (b) w (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39110 divided by 400.\nAnswer: -3911\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9217.489t to micrograms.\nAnswer: 9217489000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4550 (base 6) to base 9.\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -24 - 7b7?\nAnswer: -7db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2034440 - -310303?\nAnswer: -1224132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8544 and 207516.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 3\/(-5))*(-6 + -2)*10845\/(-13014)\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 18 (b) -586 (c) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.12 - 0.88. Let o(s) = s**3 - 5*s**2 + 6*s - 5. Let n be o(4). Suppose 0*l - 12 = n*l. What is the closest to d in -0.1, 2\/13, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5186781 and 999.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1472933)\/(-50666) + 0 + 29\/(-1)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 487, 977, 1467, 1957?\nAnswer: 2447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18326 by 2618.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 381133365?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1628446*b**3 + 5607257*b**2 wrt b.\nAnswer: 9770676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -468*k**3 - 15*k**2 - 1932*k - 8. Let z(u) = -4*u**3 - 2*u**2 - u - 1. Let h(t) = p(t) - 8*z(t). Find the second derivative of h(g) wrt g.\nAnswer: -2616*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*y + 14. Find the second derivative of -2*b**4 + 4*b**2 + 32*b + 59 + b**y - 59 wrt b.\nAnswer: -12*b**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3881130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11\/28 - ((-77)\/28 + 3). What is the nearest to -1\/3 in 3\/7, -2\/3, o?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*j + 4*j - 2*f, 2*j + 3*f = 24. Let v(n) = n**3 - 5*n**2 - 5*n - 4. Let z be v(j). Solve -3*p + c - 4 = 0, -2*p - z*c = -5*p - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.05 - -2. Let c be (-2)\/13 + (-201)\/(-39). Let h be (c + -8)\/((-4)\/(-1)). Put z, h, -1 in decreasing order.\nAnswer: z, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 77*r. Let o(h) = 11557*h**2. Give j(o(f)).\nAnswer: 889889*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/428 and -115\/1926.\nAnswer: 3852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.791810056 rounded to four dps?\nAnswer: -33.7918","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -716*s - 15756. Calculate c(-22).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -5, 18, -1474, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*v + 22. Suppose -v*c + c = -20. Solve 5*d - c = -0*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99203401 divided by -11?\nAnswer: -9018491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 3*x**4 - 9*x**3 - 342*x**2 - 624*x = 0.\nAnswer: -8, -2, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -6, 6 in increasing order.\nAnswer: -6, -2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence paa when three letters picked without replacement from apcumcpa?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 5. Let t be 30 + (-1)\/1 + 1. Let v be (-32)\/t - (-4)\/10. Sort v, 2\/11, y in increasing order.\nAnswer: v, 2\/11, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -152, -308, -464, -620, -776, -932?\nAnswer: -1088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62.8 - -43.9. Let s = i - -19. Which is the closest to s? (a) 5 (b) 7 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2342\/(-2))\/((-110)\/20 + 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 12, f: 5, p: 2}. What is prob of sequence fpe?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 u when three letters picked without replacement from nikuuxiiiuunnni.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 475099.\nAnswer: 17, 27947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (0 - -5 - (56 + -52)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 161.\nAnswer: 3\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + n + 5 + 19 = -32 - 25, -3*n - 503 = 19*x for x.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -10398089 >= -103980877\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6509?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g**2 - 149*g - 908. Let p be v(35). Solve 0 = 4*u + p*h + 18, 44*u = 40*u + 4*h - 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112358*y - 112358*y - 10458*y**3.\nAnswer: -10458*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d**3 + 2*d**2 - 1. Suppose 0 = -2*l - 23 + 21. Determine y(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3247 - 6497\/2. Which is the nearest to j? (a) 1\/6 (b) 2\/11 (c) 4 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 329 divide 26876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 628*b - 1096*b = 14976 for b.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.16 and 68.339.\nAnswer: 68.179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -9*j**3 + 33*j**2 + 10*j - 295. Let n(u) = -4*u**3 + 16*u**2 + 6*u - 148. Let i(r) = -5*n(r) + 2*y(r). Factor i(s).\nAnswer: 2*(s - 5)**2*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -11. Suppose 2*w - 5*f = -17, -2*w - f + 3*f = 2. What is the least common multiple of j and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - ((-34 + 57 - -16) + 5).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -82*k - 4 + 4 + (-2 - 2*k + 2)*(-1 - 1 + 3).\nAnswer: -84*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 + -30. Suppose -5*o - p + 0*p + 34 = q, 0 = 2*o - 5*p + 8. Is 4 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1940.\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/5)\/s)**13*s**(5\/3)*s*s**(1\/6)*s*s assuming s is positive.\nAnswer: s**(-89\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2. Let s(j) be the third derivative of j**4\/4 + 5*j**2. Determine s(c(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a decade in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*h + 1245 + 1108. Let k = h + -71. Calculate the highest common factor of k and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -273*f*t**3*z**3 - 4*f*t**2 + 9*f*t*z - 3*t**2*z**3 + t wrt t?\nAnswer: -1638*f*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 - 53 = -30*i - 5*b, -8 = -3*i - b for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 5*v. Let u be r(5). Suppose u = -f - 3*f. Suppose 4*b + b - 25 = f. Solve -5*m = -b*z + 5, -5*z + 3*m = -2 - 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*k = -63, -9 = 3*k - 0*k. Let w = 28 + t. Suppose 0 = -o + 19 - 7. What is the remainder when o is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-26)\/z*z)**(2\/71)\/(((z\/(z\/z**(-2)*z)*z*z)\/z)\/(z*z*z\/(z**10*z))))**40 assuming z is positive.\nAnswer: z**(-19120\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -6*t**4 - 166*t**3 + 997*t**2 - 2123*t + 1429. Let r(i) = -2*i**4 - 56*i**3 + 332*i**2 - 708*i + 476. Let d(y) = 8*a(y) - 22*r(y). Factor d(s).\nAnswer: -4*(s - 2)**3*(s + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g - 15*g + 3*g.\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7341981 and 12.\nAnswer: 29367924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -88 - -81. Let l be x\/(3 + -1 + -4 - -1). Solve -5*a = 2 - l for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x**3 + 2*x**3 + 2*x - 528 + 531 + 2*x**2. Let n(w) = w**3 + w**2 + w + 1. Calculate -c(l) + 2*n(l).\nAnswer: -3*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3692324728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1109422001?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 601865673*d**3 + 573065785*d wrt d.\nAnswer: 3611194038*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3)*(-294)\/(-28).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 540.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4 + 90*l**3 + 1317*l**2 + 2266*l.\nAnswer: -l*(l - 103)*(l + 2)*(l + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiz when three letters picked without replacement from {z: 1, g: 1, q: 1, y: 2, i: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-28)\/70 - 84\/(-10). Solve o - 6*o = 10, 2*o - i = 3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1641 + -1340?\nAnswer: -3201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 49.49418942 to three decimal places.\nAnswer: 49.494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -6. Let r = d - 13. What is the nearest to -1 in r, 2\/7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -777*p + 6*p + 3400 = -91*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2060 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -0.1. Let j be 2\/20*(9 + -3 + -1). What is the closest to s in 4\/5, 28, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -4*a + 10. Let q be h(3). Put -3, q, -4 in descending order.\nAnswer: q, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*f + 100*f - 243*f = -5*p - 3, 0 = -p - 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z - 1. Let l be o(2). Sort 5, l, -2\/5.\nAnswer: -2\/5, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*m**2 + 65*m**2 - 19*m**2 - 20*m**2 - 13*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8400 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -534 - 4*d**2 - d**2 - 700 - 104 + 315 to the form b*d + o*d**2 + c and give c.\nAnswer: -1023","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*y = -y - 6, -t + 2 = 2*y. Let h be ((-36)\/(-10))\/((-3)\/(-10)). Suppose 2*n + 4*n = 12. Solve t*c + n*c - h = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 33774960 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 506 + 2?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 8 = 5*p, -4*w - 5*p + 0*p + 1 = 0. Let y = 861 + -12049\/14. What is the common denominator of y and (-59)\/(-20) - w\/(-4)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/4 - 980306*k + 3921223\/4.\nAnswer: (k - 3921223)*(k - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = -9*t + 297. Suppose 3*f = 6 + 6. Solve 5*d + f = -y - 3, -3*d = -t*y - 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 11:39 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 845911.\nAnswer: 11, 6991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/9 - 1\/(-3). Suppose 5*m - 6 = -4*w, 0 = -q*m + 4*m - 4*w - 6. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 81682985 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 8*s - 7. Let c be m(1). Solve c*w + 10 = -2*w, 0 = -b - w - 8 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3172910300 to the nearest one million.\nAnswer: 3173000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1766.98 - -425.4755161\nAnswer: 2192.4555161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19873 and 25551.\nAnswer: 178857","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.90604 to 1 dp.\nAnswer: 15.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 225\/(-750) + (-13)\/(-10). Put 3, 152, -6, a in ascending order.\nAnswer: -6, a, 3, 152","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1120\/(-40)*18\/180.\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 + 1606 = -98*u - 68*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tv when two letters picked without replacement from ivqztvikiivkiqvzivqi.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lyzw when four letters picked without replacement from {b: 1, i: 4, z: 1, y: 10, w: 1, l: 3}.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-4)\/(-32)*4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z - 3 + 1 - 24 - 41.\nAnswer: -2*z - 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9008?\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**3 + 8*z**3 + z**3 + (8*z**2 + 9*z**2 - 3*z**2)*(1 + 2 + 4*z - 4) + (-z - 3 + 3)*(z**2 + 2*z**2 - 5*z**2).\nAnswer: 70*z**3 - 14*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*b - 2117 - 1446. Calculate the remainder when b is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - 5*sqrt(133) - sqrt(133))*3)\/sqrt(7).\nAnswer: -15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(-4 + 33\/6). Suppose g*w = 2*c - 5*c + 531, c = 3. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o**2 - 35*o - 5*o + 40*o.\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 2. Let h be v(4). Let m be (-3)\/(-3) + 10\/h. Suppose -n = -5*n. Which is smaller: m or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5727258 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4515139 is divided by 70.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.98 rounded to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13251 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301644 is divided by 4132.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*j - 2*j**3 - 21*j - 5*j - 1 + 9*j**2 + 24*j - 7*j - 3*j**4 to m + v*j + b*j**4 + u*j**2 + n*j**3 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -1. Differentiate 68*d**2 + 3 - 71*d**p + 9 wrt d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n - 1. Let f(y) = y**3 - 9*y**2 + 23*y + 7. Calculate the remainder when f(6) is divided by s(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 9*y + 25. What is b(-10)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 81 - (21 + -1 - -18)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*h + 31*h + 245916 = 0. What is the remainder when h is divided by 27?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4*j + 10. Suppose 2*w + 0*n - 68 = -4*n, -2*w - 3*n + 63 = 0. Calculate the remainder when w is divided by 13 - (-1)\/j*0.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u - 2457*u**2 + 2459*u**2 - 5*u - 153.\nAnswer: 2*u**2 - 2*u - 153","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/13 not equal to -1.94924?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n - n + 2*n + (-1 - 1 + 1)*(n + 5*n - 4*n) + 18*n - 27 + 27 + (-3*n + 3*n + n)*(1 + 3 - 6))*(0*n + 10*n + 5*n) to t*n + j*n**2 + v and give j.\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1474, 2598, 3718, 4834, 5946, 7054, 8158?\n\"Answer: -2*t**2 + 1130*t + 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 4*t + 80. Let g be d(-7). Is (-2)\/(8\/(-7620)*g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104203511 times -7?\nAnswer: -729424577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 41*b**3 + 7*b - 40. Let y(h) = 14*h**3 + 2*h - 13. Let p(g) = 2*v(g) - 7*y(g). Differentiate p(a) with respect to a.\nAnswer: -48*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 - 400488*n + 25618944.\nAnswer: 3*(n - 133432)*(n - 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o = 7*o - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 8 = -0*u. Which is the closest to 2? (a) 0.4 (b) -10 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 127, -1\/2, -55, 0, -1\/26 in ascending order.\nAnswer: -55, -1\/2, -1\/26, 0, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -12*i**2 + 108*i + 22. Determine m(9).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(56)\/(sqrt(10)\/sqrt(5)))\/((sqrt(132)\/sqrt(3))\/sqrt(11)) - (sqrt(252) + sqrt(252) + -3 + sqrt(252) + sqrt(252) + 0 + 1)))**2.\nAnswer: -368*sqrt(7) + 14828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmwwwmmrrwr. Give prob of picking 1 m and 2 w.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 764061872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - k - 3 - 2*k)*(0 + 2*k + 1 + 3 + (0*k - 2*k - k)*(-2 + 2 - 2) - 4*k + 3*k - k).\nAnswer: -6*k**2 - 22*k - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42925 is divided by 3299?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 83 - 80. Put 2, g, 2\/15 in descending order.\nAnswer: g, 2, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -629, -2188, -5241, -10286?\nAnswer: -17821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.9 + -0.9. Let s = -4 - -4.4. Sort s, y, -2\/13.\nAnswer: -2\/13, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 463a359 - -5?\nAnswer: 463a360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yej when three letters picked without replacement from ynnynjkynnnynneynny.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -91982 by -226.\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -89410, -91077, -93856, -97747, -102750, -108865, -116092?\n\"Answer: -556*v**2 + v - 88855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2*m - 3, m = 4*o - 19. Let i = -28 - -45. Let h = i + o. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 22 = 2*o, -2*o - 4*r + 12 = 4. Let z be (o\/(-4))\/(9\/48). Solve -2*k - 2 + z = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8386705 litres in millilitres?\nAnswer: 838.6705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oobfiog. Give prob of sequence ofo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*m + 31, u + 5*m - 38 = -0*m. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33410182.\nAnswer: 2, 13, 863, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12292, 12294, 12296?\nAnswer: 12298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116874 - 5.\nAnswer: -116879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 212020 - -2?\nAnswer: 212022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b = -b - 17 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 2\/21 (c) 0.1 (d) -3 (e) 12\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 464691\nAnswer: -1\/464691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 20. Calculate the greatest common factor of l and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8259 + 18598. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 43, 4, 0, -1, -125 in increasing order.\nAnswer: -125, -4, -1, 0, 4, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.1108 to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7.7*0.051\nAnswer: 0.3927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24 plus -68?\nAnswer: -67.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -25*l - 367. Calculate q(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of 1891*v**5\/60 + 59*v**4\/6 - v**3\/3 + 2*v**2 + 576. Find the second derivative of l(q) wrt q.\nAnswer: 3782","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14018 a multiple of 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*p + 125*p = 108. Solve 0 = p*z - 5*s + 16, 33*z - 13 = 37*z - 5*s for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = -26*g - 128. Which is bigger: -5\/111 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 725*b = -263*b + 22050 - 7230 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20510 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -155, -158, -149, -122, -71, 10?\n\"Answer: b**3 - 10*b - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 11:27 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 246 - 170. Suppose 6*w = v - 16. Let d = 22 - w. Solve -13 - d = -5*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-1 - -2))\/(11\/(-132))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 689*a - 52714 + 26532 = 0 for a.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 106, 2, 1\/4, 10, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1064 or -1061?\nAnswer: -1061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3*t + 5)*(-10 + 12 - 21) + (-1 + 5 - 3)*(3 - 3 - 2*t).\nAnswer: 55*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2745, 2804, 2883, 2988, 3125?\n\"Answer: c**3 + 4*c**2 + 40*c + 2700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19635*d**3*f**2*m**3 - 2*d**3*f*m**3 - 2*d**3*f*m**2 - 47*d**3*m - 2*d**2*m**3 - 24*d**2 + 8*d*f**2*m**3 - 2*m wrt f?\nAnswer: -39270*d**3*m**3 + 16*d*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of u**5\/30 - 37*u**4\/9 + 1369*u**3\/9 + 448*u. What is t in q(t) = 0?\nAnswer: 0, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, s: 2, i: 10}. Give prob of picking 2 b and 1 s.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 298713482671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1601 and 128409806.\nAnswer: 1601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**2 + 7 + m**3 - 6 + m**3 + (2*m**2 - 2*m**2 + 3*m**3)*(6 + 0 + 0) in the form l + q*m + f*m**2 + u*m**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36856208?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -50. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000018645033 rounded to seven dps?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*l**3 + 564*l**2 - 5340*l + 2528.\nAnswer: 4*(l - 8)*(l + 79)*(2*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 2 k, and 1 h when four letters picked without replacement from ksswksfbwwbhbwh?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from odrqhdqi. Give prob of sequence ddh.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**3 - 7*j**2 - 8*j + 4. Let t(k) = 123*k**3 - 2*k + 8*k - 4 - 125*k**3 + 6*k**2. Let y(u) = 4*d(u) + 6*t(u). Factor y(i).\nAnswer: -4*(i - 2)*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -9*z**3 - 4*z**2 + 15. Let l(i) = 19*i**3 + 10*i**2 - 31. Calculate 5*g(x) + 2*l(x).\nAnswer: -7*x**3 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19128.99 and -1.\nAnswer: 19128.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1539\/3420)\/(54\/15)*(-700)\/10.\nAnswer: -35\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 61 - ((2 - -2) + -1 + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -38. Suppose 16*t - 20 = r*t. What are the prime factors of (-3)\/t*(-1)\/(1\/(-28))?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2. Suppose -7*o + 12 = 19. Let c(k) = 26*k**2 + 3. Let j(r) = o*c(r) - 3*w(r). What is the derivative of j(q) wrt q?\nAnswer: -46*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (8 + -17) - 4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 753645.605 to the nearest 1000.\nAnswer: 754000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48 + -46.1. Let k = 0.8 + z. Let p = k - 8.5. What is p rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from olovlvzzloovool. What is prob of picking 4 l?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**4 + 17289*b**3 + 494739*b.\nAnswer: 24*b**2 + 103734*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*t**4 + 2*t**4 + 2*t**4)*(26 - 2 - 4) to v*t**3 + c + a*t**4 + n*t**2 + i*t and give a.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 483*m**3 + 575758 - 479*m**3 - 173847*m + 2382039*m + 1626498 + 5940*m**2 = 0 for m.\nAnswer: -742, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 16*i**2 + 2*i - 17. Let r be a(16). Solve 2*q + q + r = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 518389725.\nAnswer: 3, 5, 7, 43, 22963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w**2 + 5*w + 16 + 9 + 13 - 32 + w**3. What is the remainder when 91 is divided by a(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 12:53 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 40. Let i(x) = x**3 - 2*x**2 + x - 4. What is the least common multiple of i(4) and q?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.76227 to one decimal place.\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1595, 0.12, 0, -5, -2\/17, 1 in ascending order.\nAnswer: -5, -2\/17, 0, 0.12, 1, 1595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 13, 7, 0.5, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -662 + 671. Let v(t) = -t**3 + 9*t**2 + t - 3. Give v(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 16.3 (b) 40 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-0.1\nAnswer: 0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.737 rounded to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*x + 35 = -90*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 199*m**2 + 24*m - 48. Is 56 a factor of j(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 270 (c) 0.1 (d) 4 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**3 + 1. Let y(w) = -w**3 - 5*w**2 + 6*w + 3. Let d be y(-6). Suppose -2 = p - d*f + 8, -4*f + 7 = 5*p. Let x be v(p). Is x greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**2\/4 - 369*l\/4 + 1545 = 0 for l.\nAnswer: 20, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 0*z**3 + 0*z**2 - 1\/60*z**5 + 1\/126*z**7 + 1\/90*z**6 + 0 - 3*z - 1\/36*z**4. Suppose x(o) = 0. What is o?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.98 - 0.02. Let x = 4 + n. Let w be 14\/3 + 1 + (-54)\/9. What is the second smallest value in 3, 1\/7, x, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 7*k - 9. Let x(d) = 3*d - 4. Let u(f) = -4*p(f) + 9*x(f). Suppose 0*o = 4*o - 8. Let m(q) = -2 + 2 + o*q. What is m(u(j))?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 123068?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 10. Let g be z(-3). Let j = -8 - -9. Sort g, j, -5.\nAnswer: -5, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 8*b + 10. Let s(a) = -3*a**2 + 23*a + 31. Let l(j) = 8*c(j) - 3*s(j). What are the prime factors of l(-6)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - k = 1950, 4*t - 1950 = -t - k. Let o be 2496\/t + -8 + 2. Suppose o*c**3 - 26\/25*c**2 + 8\/25*c + 8\/25 = 0. Calculate c.\nAnswer: -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**4 + 20220*l**3 + 25522668*l**2 - 76750092*l.\nAnswer: 4*l*(l - 3)*(l + 2529)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -10.08. Let m = -2.08 - f. Let z(n) = n + 5. Let l be z(0). Which is the third smallest value? (a) m (b) 0.5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -32 - (-436 + 366).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 732887783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 142*l**3 + 8*l**2 - 51781*l wrt l?\nAnswer: 852*l + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1254*n**2*t*z**2 - 19*n**2*t - n*z**2 + 3*t*z**2 - 17*t*z - 85*z wrt n?\nAnswer: 2508*n*t*z**2 - 38*n*t - z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -592 - -814. Does 74 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1129294 is divided by 221?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d + 1882 - 127 = 0. Calculate the highest common divisor of d and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 242695814?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 3*z + 9675, 5*m + 254*z - 250*z = 16071. List the prime factors of m.\nAnswer: 3, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.8 and 841605.\nAnswer: -673284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, r: 4, z: 2, n: 3}. What is prob of sequence wwr?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-16))\/(2\/4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 541376 - 14?\nAnswer: 541362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -be36 (base 16) in base 15?\nAnswer: -e664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 141020 + 21?\nAnswer: 141041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5 = -27. Let w be 2*(1 - (1 + -4)). Let a = 20 - w. Calculate the remainder when c is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 - -6. Let w = 11 + s. Let o = -4 - w. Solve -2*t - r - 10 = -o*r, 2*r - 12 = 3*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6433511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**2 - 6*p + 8. Let a be j(3). Let w be (-69)\/(-21) + 8\/a. What is the greatest common factor of 42 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11995900 to the nearest integer?\nAnswer: 3464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 45\/(-13) - 69560\/2444.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2114690241.09212 + -0.3.\nAnswer: -2114690241.39212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.113 - 1.313. Put -5, i, 0.3, -29 in decreasing order.\nAnswer: 0.3, i, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 4:52 AM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-5) + 3\/5. Suppose x + a = 2, 2*x + 46 = 2*s. Solve 0 = -z + 4*z - 4*g + 18, 5*z + s = 4*g for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 556 divided by 1.\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/12)\/((-3)\/2 + 2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 94 - 58 = 0. Find the common denominator of 23\/7 and (-2)\/d + 6 + -4.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-9 - 508\/(-56)) + 12\/(-21))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77943180?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 21\/5 of a hour?\nAnswer: 15120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -7*u**3 - u**2 + 3*u + 3. Let n(t) = t**3 + t + 1. Calculate l(y) - 3*n(y).\nAnswer: -10*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**3\/17 + 138*h**2\/17 + 174*h + 18502\/17 = 0. Calculate h.\nAnswer: -29, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-220)*25\/3*90\/75\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -3*r - 6*p + 7*p, 0 = 5*r - 6855*p + 6860*p for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 148120 and 14812.\nAnswer: 148120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 3:02 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*z**2 - 17*z**2 - 19*z**2 - 23*z**2.\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 554\/11 (b) -3 (c) -329.28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -443, -4 in descending order.\nAnswer: 3, -4, -5, -443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -40*t**2 + 421*t + 46. Calculate the remainder when 770 is divided by c(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4416.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 65, 120, 177, 236, 297?\n\"Answer: r**2 + 52*r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6971718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-32)\/(-24))\/(1\/(-6)). Let j be x*-2*(-45)\/(-40). Suppose 360 = 3*c + 2*c. Calculate the greatest common factor of c and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 579\/7 and 83 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 12800520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -356 - -361. Solve 5 = -n*z + 2*g + g, 0 = -4*g for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}